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Essentials of volumetric analysis; an Int
3 1924 002 ■974""925""""
Cornell University
Library
The original of tliis book is in
tlie Cornell University Library.
There are no known copyright restrictions in
the United States on the use of the text.
http://www.archive.org/details/cu31924002974925
WORKS OF DR. H. W. SCHIMPF
PUBLISHED BY
JOHN WILEY & SONS.
A Manual of Volumetric Analysis.
For the use of Pharmacists, Sanitary and Food
Chemists, as well as for Students in these
Branches. Fifth edition, rewritten and en-
larged, 8vo, XX -I- 725 pages, loa figures.
Cloth, Ss.oo.
Essentials of Volumetric Analysis.
An in troduc tion to the subject adapted to the
needs of Students of Pharmaceutical Chemistry.
Second edition, rewritten. Large i2mo, xL + 3s8
pages, 61 figures. Cloth, $1.50 net.
A Systematic Course of Qualitative Chemical
Analysis of lnorg;anic and Organic Substances
With Explanatory Notes. 8vo, vii+156 pag-es.
Cloth, I1.25 net.
ESSENTIALS
OF
VOLUMETRIC ANALYSIS
AN INTRODUCTION TO THE SUBJECT, ADAPTED
TO THE NEEDS OF STUDENTS OF PHAR-
MACEUTICAL CHEMISTRY
EMBRACING THE SUBJECTS OF ALKALIMETRY, ACIDIMETRY, PRECIPI-
TATION ANALYSIS, OXIDIMETRY, INDIRECT OXIDATION, lODOM-
ETRY, ASSAY PROCESSES FOR DRUGS, ESTIMATION OF AL-
KALOIDS, CARBOLIC ACID, SUGARS, THEORY, APPLI-
CATION AND DESCRIPTION OF INDICATORS
BY
HENRY W. SCHIMPF, Ph.G., M.D.
Professor of Analytical Chemistry iti the Brooklyn College of Pharmacy
JIlUtBtratsb
SECOND EDITION— REWRITTEN AND ENLARGED
FIRST THOUSAND
NEW YORK
JOHN WILEY & SONS
London : CHAPMAN & HALL, Limited
1911
/Copyright, 1903, 1911
BY
HENRY ^y. SCHIMFF
THE SCIENTIFIC PRESS
KOBEHT DRUMMOND AND COMPANY
BnOOKLYN, N. Y,
PREFACE TO THE FIRST EDITION
Tke growing need for a short text-book which will make
the principles of volumetric analysis readily available without
going too deeply into detailed and discursive description has
led to the preparation of this elementary treatise.
In the following pages the aim is to present the principles
of this interesting and important subject in a form readily
intelligible to students and available for lecture-room and
laboratory work. The essential points are condensed within
the limits of a small book with the intention of furnishing
an outline which may serve as a practical guide as well as
an introduction to the more advanced and voluminous works
on the subject.
If presented in a suitable manner volumetric analysis
rarely fails to prove interesting to the student, because it gives
him a clear conception of the quantitative significance of
chemical equations and thus affords practical proofs of chemical
laws; it furthermore trains the student to make careful obser-
vations, to form habits of accuracy in manipulation, and since
the processes are easily carried out, enables him to arrive
readily at a definite numerical conclusion.
The subject-matter in this book is systematically arranged
as far as can be, and treated as concisely as is consistent with
clearness of expression. The processes are grouped under
five headings: Neutralization, Precipitation, Oxidation, Indirect
Oxidation, and lodometry. The principles underlying each
IV PREFACE
group are definitely indicated, and their application illustrated
by numerous practical examples. Other subjects treated
include methods of calibration and of the accurate reading
of graduated instruments, the calculation of the results of
analyses, the preparation and standardization of volumetric
solutions. The indicators, their selection for special cases
and the ionic theory regarding their action, as well as assay
process for phenol, sugars and vegetable drugs also receive
special treatment. The author hopes that he has prepared
a book which will prove serviceable to those for whom it was
written and that it will be as generously received as were the
four editions of his Text-book of Volumetric Analysis.
Henry W. Schimpf.
PREFACE TO THE SECOND EDITION
The favor with which the first edition of The Essentials
of Volumetric Analysis was received has encouraged me to
revise and enlarge the book.
In the present edition I have endeavored to keep in mind
the needs of students studying volumetric analysis and to
give them a competent and practical guide to this most interesting
subject. The main features of the former edition have been
retained, but the subject is brought up to date. The ionization
theory is described especially in its relation to indicators, and
the atomic weights used are those for 191 1 of the Inter-
national Committee on Atomic Weights (0 = i6). The book
contains sixty-one illustrations, and numerous useful tables.
The volumetric methods are arranged in a systematic
manner and comprise Alkalimetry, Acidimetry, Precipitation,
Analysis Involving the Use of Silver Nitrate, Sodium Chlorid,
and Potassium Sulphocyanate. Oxidation Methods involving
the Use of Permanganate, Bichromate and lodin. Reduction
Methods Involving the Use of Sodium Thisosulphate, Arsenous
Acid and Stannous Chlorid.
There are also given concise descriptions of methods for
assaying alkaloidal drugs, phenol, oils, sugars, formaldehyde,
and alcoholic liquids, together with a few simple gasometric
analyses, such as a pharmacist may find useful.
Henry W. Schimpf.
CONTENTS
PAGE
List of Elements with their Atomic Weights xii
Table of Multiples of Atomic Weights and Combinations. . . xiii
CHAPTER I
Introduction r
CHAPTER n
General Principals of Chemical Combination upon which
Volumetric Analysis is Based 4
CHAPTER III
Volumetric or Standard Solutions 7
To Titrate. Residual Titration.
CHAPTER IV
Indicators 16
The Ionization Theory. The Ionization Theory of Indicators.
A Guide for the Selection of Indicators.
CHAPTER V
Apparatus Used in Volumetric Analysis 28
CHAPTER VI
On the Use of Apparatus 39
On the Reading of Instruments. Calibration of Instruments.
vii
viii CONTENTS
CHAPTER VII
PAGE
Methods of Calculating Results 48
Table of Normal Factors, etc., of Alkalies, Acids and Alkali
Earths. On Stating Results. Table of Molecular Weights and
Normal Factors for the most Common Oxids.
CHAPTER VIII
Analysis by Neutralization 56
Alkalimetry. Preparation of Standard Acid Solutions. Esti-
mation of Alkali Hydroxids. Estimation of Alkali Carbonates,
Mixed Alkali Hydroxid and Carbonate. Estimation of Alkali
Bicarbonates when Mixed with Carbonates. Mixed Potassium
and Sodium Hydroxids. Estimation of Organic Salts of the
Alkalies. Table of Normal Factors, etc., of the Organic Salts of
the Alkalies. Estimation of Salts of the Alkali Metals. Esti-
mation of Mixed Hydroxids and Carbonates of Alkali Earths.
Acidimetry. Estimation of Acids. Preparation of Standard
Alkali Solutions. Table Showing Quantity to be taken for
Analysis in Direct Percentage Estimations.
CHAPTER IX
Analysis by Precipitation 105
Preparation of Decinormal Silver Nitrate, Decinormal Sodium
Chlorid, and Decinormal Sulphocyanate. Estimation of Soluble
Haloid Salts. Mohr's Method with Cbromate Indicator. Titra-
tion without an Indicator. Estimation of Haloid Acids. Esti-
mation of Cyanogen. Estimation of Silver Salts. Estimation
of Metallic Silver and Silver Alloys. Estimation of lodids by
Mercuric Chlorid Solution. Table of Substances Estimated by
Precipitation.
CHAPTER X
Analysis by Oxidation and Reduction 133
Preparation of Decinormal Potassium Permanganate.
Volumetric Analyses by Means of Potassium Permanganate.
On the Use of Empirical Permanganate Solution. Typical
Analyses by Permanganate. Direct Titrations. Estimation of
CONTENTS ix
PAGE
Ferrous Salts. Estimation of Metallic Iron in Ferrum Reductum.
Estimation of Oxalic Acid and Oxalates. Estimation of Calcium.
Estimation of Hydrogen Dioxid and Barium Dioxid. Estimation
of Ferric Salts. Estimation of Nitrous Acid and Nitrites. Resid-
ual Titrations. Estimation of Hypophosphorous Acid and Hypo-
phosphites. Estimation of Calcium Salts. Estimation of Lead
Acetate and Subacetate. Estimation of Manganese Dioxid.
Estimation of Nitrates, Chromates, and Chromic Acid. Esti-
mation of Tin. Estimation of Copper.
Volumetric Atmlysis by Means of Potassium Dichromale.
Preparation of Decinormal Potassium Bichromate. Estimation
of Ferrous Salts. Table of Substances Estimated by Perman-
ganate or Bichromate.
Analysis by Indirect Oxidation. Preparation of Becinormal
lodin. Starch Solution. On the Use of Sodium Bicarbonate
in Titrations with lodin. Estimation of Arsenous Compounds.
Estimation of Antimony Compounds. Estimation of Sulphurous
Acid and Sulphites. Estimation of Sodium Thiosulphate. Hydro-
gen Sulphid and Sulphids. Estimation of Metallic Iron in
Reduced Iron. Table of Substances Estimated by INIeans of
lodin Solution.
Estimation of Substances Readily Reduced. lodometry. Esti-
mations Involving the Use of Sodium Thiosulphate V.S. Prepa-
ration of Becinormal Thiosulphate V.S. Estimation of Free
lodin. Indirect lodo metric Estimations. Estimation of Free
Chlorin or Bromin. Estimation of Available Chlorin. Estima-
tion of Hydrogen Bioxid. Bistillation Methods. Estimation of
Manganese Bioxid. Chromic Acid and Chromates. Estimation
of Alkali lodids. Digestion Methods. Estimation of Chlorates,
Bromates and lodates. Estimation of Ferric Salts.
Chloromelry, Reduction Methods, Involving the Use of Arsenous
Acid Solutions. Preparation of Standard Arsenous Acid V.S.
Iodized Starch Test Paper. Estimation of Free Halogens. Esti-
mation of Available Chlorin. Chlorometric Assay of Manganese
Bioxid.
Reduction Methods Involving the Use of Stannous Chlorid V.S.
Estimation of Iron by Means of Stannous Chlorid. Estimation
of Mercuric Salts.
X CONTENTS
PART II
CHAPTER XI
PAGE
Estimation op Alkaloids 249
Table of Factors for Alkaloids. Gordin's Modified Alkali -
metric Method for Titrating Alkaloids.
CHAPTER XII
Assaying of Vegetable Drugs and their Preparation 257
Separation of Alkaloids and Use of Immiscible Solvents.
Kebler's Modification of the Keller Method. Assay of Galenical
Preparations. Lloyd's Method. Katz's Method.
CHAPTER XIII
Estimation of Phenol 269
Preparation of Decinormal Bromin Solution.
CHAPTER XIV
Some Technical Methods for Fats, Oils and Waxes 275
The Acid Value. The Saponification Number. Volatile Fatty
Acid Number. Reichert's Number. The Reichert-Meissl Num-
ber. Hubl's Number.
CHAPTER XV
Estimation of Suc-^rs 287
Preparation of Fehling's Solution. Determination of the End-
point. Estimation Starch after Inversion. Estimation of Maltose
in Malt Extracts. Estimation of Diastasic Value of Malt Extract.
29s
CHAPTER XVI
Estimation of Formaldehyde
The Ammonia Method. The Ammonium Chlorid Method.
Oxidation Method by Means of Hydrogen Dioxid. The lodo-
metric Method. The Cyanid Method.
CHAPTER XVII
Estimation of Alcohol in Tinctures and Beverages 303
Alcoholometric Table
CONTENTS xi
PART III
CHAPTER XVIII
PAGE
The Nitrometer 307
The Law of Charles. The I^aw of Boyle.
CHAPTER XIX
Assay of Nitrites 311
Spirit of Nitrous Ether. Amyl Nitrite. Sodium Nitrite.
Nitric Acid in Nitrates.
CHAPTER XX
Hydrogen Dioxid 317
Use of Nitrometer. Use of Urea Apparatus. The Hypo-
chlorite Method. The Hypobromite Method. Table Showing
Weight in Milligrams of H2O2 corresponding to one cc. of Moist
Oxygen.
CHAPTER XXI
ICSTIMATION OF SOLUBLE CARBONATES BY THE USE OF THE NITROM-
ETER 322
CHAPTER XXII
ESTIMAITON OF UREA IN URINE 323
The Doremus' Ureometer. The Hinds-Doremus Ureometer.
Squibb's Urea Apparatus.
APPENDIX
Description of Indicators Alphabetically Arranged 328
A LIST OF THE MORE COMMON ELEMENTS WITH THEIR
SYMBOLS AND ATOMIC WEIGHTS
Atomic Weight*
based on 0= i6.
Atomic Weight
based on H=i. Atomic Weight
Approximate
Aluminium Al.
Antimony Sb.
Arsenic As.
Barium Ba.
Bismuth Bi.
Boron B.
Bromin Br.
Cadmium Cd.
Calcium Ca.
Carbon C.
Chlorin CI.
Chromium Cr.
Cobalt Co.
Copper Cu.
Fluorin F.
Gold Au.
Hydrogen H .
lodin I.
Iron Fe.
Lead Pb.
Lithium Li.
Magnesium Mg.
Manganese Mn.
Mercury Hg.
Molybdenum Mo.
Nickel Ni.
Nitrogen N.
Oxygen O.
Phosphorus P.
Platmum Pt.
Potassium K.
Silver Ag.
Sodium Na.
Strontium Sr.
Sulphur S.
Tin Sn.
Zinc Zn.
27.1
120.2
74.96
137-37
208.0
II .0
79.92
II 2 , 40
40.09
12.0
35-46
52.0
58-97
63-57
19.0
197.2
1 .008
126.92
55-82
207 . 10
6-94
24.32
'54.93
200.0
96.0
58.68
14.01
16.00
31-04
195-2
39-1
107,88
23.00
87-63
32.07
119. o
65-37
26
119
74
136
206
9
3
3
4
4
10.9
79-36
III. 6
39-8
II .91
35-18
51-7
58-56
63 .1
18.9
195-7
1 .000
125-9
55-5
205-35
6.98
24.18
54-6
198-5
95-3
58-3
13-93
15.88
30.77
193-3
38.86
107. 12
22.88
86.94
31-83
118. 1
64.9
27 ,0
120.0
75-0
136.0
206.0
II .0
80.0
III .0
40.0
12.0
35-5
52.0
58.0
63.0
19.0
196,0
1 .0
126.0
56.0
206
7.0
24.0
55-0
200.0
95 o
58-0
J4,o
16.0
31.0
194.0
39-0
107.0
23.0
87.0
32.0
118. o
65.0
' Internationa! Atomic Weights, 191 1
TABLE OF MULTIPLES OF SOME ATOMIC WEIGHTS AND
COMBINATIONS IN FREQUENT USE.
I
2
3
4
5
6
7
8
9
H
1.008
-^ .016
3-024
4.032
5 -040
6.048
7.056
8.064
9-072
O
16.000
32.
48.
64.
80.
96.
112.
128.
144-
OH
17.008
34016
51.024
68.032
85.04
102.048
119-056
136.064
153-072
HsO
18.016
36.032
54.048
72.064
90.08
108.096
126. 112
144. 12S
162 . 144
N
14.01
28.02
42 -03
56.04
70.05
84.06
98.07
112 .08
126 .09
NHj
17-034
.1 4 . 064
51.102
68.128
85.170
102. 204
119.238
136.272
153-306
NH,
18.042
36.084
54-126
72.168
90.210
108.252
126 . 294
144-336
162.378
NO-
46.01
92.02
138.03
184.04
230.05
276.06
JI2.O7
388-08
414.09
NO3
62.01
124.02
186.03
248.04
310.05
372-06
434-07
496.08
558.09
C
12.00
24-
36.
48.
60.
72.
84-
96.
108.
CO2
44.00
88.
■ 32.
176.
220.
264.
308.
352.
396.
CO3
60.00
120.
180.
240.
300.
360.
420.
480.
540.
CN
26.01
52.02
78.03
104.04
130. OS
156.06
182-07
208-08
234-09
CI
35.46
70.92
106.38
141 .84
177-3
212 . 76
248-22
283.68
319-14
Br
79.92
159.84
239.76
319-68
399-6
479-52
559-44
639-36
719.28
I
126.92
253-84
380.76
507.68
634-6
761 -52
888.44
1015.36
1 142 . 28
S
32.07
64.14
96.21
128.28
160.35
192.42
224.49
256.56
288-63
SO3
80.07
160.14
240.21
320.28
400 . 3 5
480. 42
560.49
640.56
720.63
SOi
96.07
192.14
288.21
384-28
480.35
586.42
672.49
768,36
864.63
PO.
9S04
190.08
285.12
380.16
475-20
580.24
665.28
760.32
855-36
P20S
142.08
284. 16
426.24
568.32
710.40
852-48
994-56
1136.64
1278.72
ABBREVIATIONS AND SIGNS
cc cubic centimeter
gm gramme, 15:4323s grains
gr grain
at. wt atomic weight
V.S volumetric solution
T.S .test solution.
U. S. P United States Pharmacopoeia.
— normal.
I
— decinormal.
10
N
— centmormal.
100
— semi-normal.
2
2
T^ or 2N double-normal.
THE ESSENTIALS OF VOLUMETRIC
ANALYSIS
CHAPTER I
INTRODUCTION
In a chemical analysis the aim is to determine the nature
of the chemical substances contained in a given compound
or to ascertain their quantities. In the former case the
analysis is a qtmlilative, in the latter a quantitive, one.
The quantitive analysis of a substance may be made
either by the gravimetric or the volumetric method.
The Gravimetric Method consists in separating and
weighing the constituents either in their natural states or in
the form of new and definite compounds, the composition
of which is known to the analyst. From the weights of
these new compounds the analyst can calculate the quantities
of the original constituents.
Example. To determine the quantity of silver in a solu-
tion by the gravimetric method we proceed as follows :
Ten grams of a solution containing silver in the form of
silver nitrate (AgNOs) is placed into a beaker, and, after
slightly acidulating with nitric acid, is treated with hydro-
chloric acid, drop by drop, until no further precipitation
occurs. The precipitate which consists of silver chlorid (AgCl)
is then separated by filtration, thoroughly washed, dried and
weighed. Its weight is found to be 0.69 gm. The calcu-
lation is then made as follows: 143.34 gms. of silver chlorid
2 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
represents 107.88 gms. of silver or 169.89 gms. of silver nitrate,
as the equation shows:
AgN03+HCl = AgCl+HN03.
169.89 143-34
Therefore, 0.69 gm. of silver chlorid will represent
107.
143-34
Xo.69 = o.5i9 gm. of silver,
169.89 , „ , ., .
or Xo.69=o.8i7 gm. of silver nitrate.
143-34
The Volumetric Method. This method depends upon the
use of solutions {standard solutions) which are of khoAvn strength
and paying attention to the valume of such a solution which
must be added to the substance under analysis to perform
with it and complete a certain reaction. Thus, if we conduct
an analysis by means of such a solution, and can express by
a chemical equation the reaction which takes place, we can
readily and accurately calculate the quantity present of the
substance under analysis.
Example. If a silver solution is to be analyzed by this
method it is treated with a standard solution of sodium chlorid,
added slowly from a burrette until no more silver chlorid is
precipitated. Each cc. of this standard solution will precip-
itate a certain weight of silver as silver chlorid, and hence
by noting the number of cc. used to complete the precipitation,
the weight of the silver in the solution analyzed is easily
ascertained.
N
The — sodium chlorid solution is generally used for this
purpose. It is made by dissolving -^ of the molecular weight
of the salt (in grams) (5.846 gms.) in sufficient water to
make 1000 cc. 1000 cc. of this solution will precipitate -^
of the atomic weight of silver (in grams) (10.788 gms.), and
INTRODUCTION 3
hence each cc. of the sodium chlorid solution represents
0.010788 gm. of metallic silver, and by multiplying this figure
by the number of cc. of the sodium chlorid solution used,
the quantity of silver in the solution under analysis is ascer-
N
tained. If in the above analysis 100 cc. of the — sodium
10
chlorid solution were used, then 0.010788X100=1.0788 gms.
of metallic silver.
The reaction is illustrated by this equation:
AgNOs + NaCUAgCl + NaNOg.
10)107.88 10)58.46
1000) 10.788 gms. 1000) 5.846 gms. = 1000 cc. — V.S.
— 10
0.010788 gm. 0.005846 gm. = I cc. " "
From the examples given it will be seen that the gravi-
metric operations consume no little time, and require the
exercise of considerable skill. The washing of the precipitate
must be thoroughly performed in order that it be freed from
all adhering matter. The drying also is a matter of some
consequence and must be performed in such a manner as
to prevent the admixture of dust or the decomposition of
the precipitate by excessive heat. A very accurate balance
is also required.
The volumetric operations, on the other hand, do not
require that the substance to be determined be separated in
the' form of a compound of known composition and weighed
in the drj' state; in fact, the substance may be accurately
estimated when mixed with many others. It therefore obviates
the necessity for the frequent separations and weighings which
the gravimetric method demands, and enables the analyst to
do the work in a very short time.
The instruments needed for volumetric work are few and
simple, and comparatively little skill is required. Further-
more, the results obtained are in most instances more accurate.
CHAPTER II
GENERAL PRINCIPLES OF CHEMICAL COMBINATION
UPON WHICH VOLUMETRIC ANALYSIS IS BASED
I. When substances unite chemically the union always
takes place in definite and invariable proportions. Thus when
silver nitrate and sodium chlorid are brought together, 169.89
parts (by weight) of silver nitrate and 58.46 parts (by weight)
of sodium chlorid will react with each other, producing 143.34
parts of a curdy white precipitate (silver chlorid).
These substances will react with each other in these pro-
portions only.
If a greater proportion of silver nitrate than that above
stated be added to the sodium chlorid, only the above pro-
portion will react, the excess remaining unchanged.
The same is true if sodium chlorid be added in excess
of the above proportions. For instance, if 200 parts of silver
nitrate be mixed with 58.46 parts of sodium chlorid, 169.89
parts only will react with the sodium chlorid, while 30.11
parts of silver nitrate will remain unchanged. Again, when
potassium hydroxid and sulphuric acid are mixed potassium
sulphate is formed, 11 2. 2 parts of potassium hydroxid and
98.1 parts of sulphuric acid being required for complete
neutralization. These two substances unite chemically m these
proportions only.
The equation is
2KOH-l-H2S04=K2S04-F2H20.
112. 2 yS.I
GENERAL PRINCIPLES OF CHEMICAL COMBINATION 5
In other words, 112. 2 parts of KOH will neutralize 98.1
parts of H2SO4, and consequently 98.1 parts of H2SO4 will
neutralize 112. 2 parts of KOH.
Oxalic acid and sodium carbonate react upon each other
in the proportions shown in the equation
H2C2O4 • 2H2O + NaaCOs = Na2C204 + CO2 + 3H2O.
126.05 ^°6
126.05 parts of crystallized oxalic acid are neutralized by
106 parts of anhydrous sodium carbonate.
2. Definite chemical compounds always contain the same
elements in exactly the same proportions, the proportions
being those of their atomic weights, or some multiple of these
weights.
Thus sodium chlorid (NaCl) contains 23 parts of metallic
sodium and 35.46 parts of chlorin, these being the atomic
weights of sodiimi and chlorin respectively.
Potassiiun sulphate (K2SO4) contains twice 39.1 = 78.2
parts of potassium, 32.07 parts of sulphur, and four times
16 = 64 parts of oxygen.
Potassium hydroxid (KOH) contains 39.1 parts of potas-
sium, 16 parts of oxygen, and one part of hydrogen. Hydro-
chloric acid (HCl) contains one part of hydrogen and 35.46
parts of chlorin.
Upon these facts the volumetric methods of analysis are
based.
It has been shown that 98.1 gms. of sulphuric acid will
neutralize 11 2. 2 gms. of potassium hydroxid. It is therefore
evident if a solution of sulphuric acid be made containing
49.05 gms. of the pure acid in 1000 cc, that one cc. of this
solution will neutralize 0.0561 gm. of potassium hydroxid.
In estimating alkalies with this acid solution, the latter is
6 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
added from a burrette, in small portions, until the alkali is
neutralized, as shown by its reaction with some indicator.
Each cc. of the acid solution required before neutralization
is complete indicates 0.0561 gm. of KOH, and the number
of cc. used multiplied by 0.0561 gm. gives the quantity of
pure KOH in the sample analyzed.
One cc. of the same solution will neutralize 0.04 gm. of
sodium hydroxid (NaOH), 0.053 gm. of anhydrous sodium
carbonate (Na2C03), etc.
If a solution of crystallized oxalic acid be made by dis-
solving 63.02 gms. in sufficient water to make 1000 cc, we
\vill have a normal solution, the neutralizing power of which
is exactly equivalent to the above mentioned normal sulphuric
acid solution.
The strength of acids is estimated by alkali volumetric
solutions. A normal solution of potassium hydroxid containing
56.1 gms. in the liter will neutralize exactly i liter of the
normal acid solution; i cc. of this normal alkali will neutralize
0.03646 gm. of HCl, 0.06362 gm. of H2C204,or 0.04905 gm.
of H2SO4, etc.
CHAPTER III
VOLUMETRIC OR STANDARD SOLUTIONS
Any solution employed in volumetric analysis for the
purpose of estimating the strength of substances, that is, any
solution the chemical power or titer of which has been deter-
mined, is designated a standard or volumetric solution. Such
a solution is said to be " titrated " (French titre = title or
power), and is sometimes also called a set solution or a stand-
ardized solution. It may be normal, decinormal, empirical,
or of any strength, so long as its strength is known.
When volumetric analysis first came into use the solutions
were so made that each substance to be estimated had its
own special volumetric solution, and this was usually of such
strength as to give the result in percentages. Thus a certain
strength of standard acid was employed for potash, another
for soda, and a third for ammonia, and in testing the acids,
each had its own special standard alkali. These solutions
were known as normal solutions; they are still to some extent
in use, and since solutions now designated as normal are of
an entirely different character, it is important that no miscon-
conception should exist when a normal solution is spoken of.
Normal Solutions are such as contain one liter (looo cc),
the molecular weight of the active reagent expressed in grams,
and reduced to the valency corresponding to one atom of
replacable hydrogen or its equivalent.
Thus in univalent or monobasic compounds the full molec-
ular weight in grams is contained in a liter of the normal
solution.
7
S THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Example. Hydrochloric acid, HCl, having one replacable
hydrogen atom, its normal solution would contain the full
molecular weight, 36.46 gms. in a liter. A normal solution
of potassium hydroxid should contain 56.1 gms. of KOH in
a Hter, while that of sodium hydroxid should contain 40 gms.
of absolute NaOH.
Normal solutions of bivalent or dibasic compounds, contain
in 1000 cc. one-half the molecular weight in grams. Thus,
oxalic acid H2C204-|-2H20 = 126.05, having two replacable 11
atoms, one-half of its molecular weight in grams = 63.02 is
contained in a liter of its normal solution. For the same
reason a liter of a normal solution of sulphuric acid contains
—— = 49.05 gms., and a liter of a normal solution of sodium
106
carbonate Na2C03 contams = 53 gms., while in the case
of trivalent or tribasic compounds one-third of the molecular
weight in grams is contained in a liter of the normal solution.
Thus it will be seen that one cc. of any normal acid solution
will neutralize one cc. of any normal alkali solution, because
one molecule of a univalent acid will neutralize one molecule
of a univalent alkali, or a half a molecule of a bivalent alkali.
This is shown by the equations
HCl f NaOH = NaCl-FH20,
36.46 46
2HCI + Na2C03 = 2NaCl + H2O + CO2.
2)72.92 2)106
36-46 53
The value of a reagent as expressed by its hydrogen
equivalent is readily seen in the case of acids and alkalies
by reference to the chemical formula, but in such standard
solutions as potassium dichromate, potassium permanganate,
sodium thiosulphate, and others, the particular reaction in
any given analysis must be taken into account in making a
VOLUMETRIC OR STANDARD SOLUTIONS 9
normal solution; for instance, when K2Cr207 is to be used
as a precipitating agent, its reaction is as follows ;
2Ba(C2H302) 2 + KaCraOy + H2O = 2BaCr04 + 2KC2H3O2
+ 2HC2H3O2.
It is thus seen that one molecule of K2Cr207 will cause
the precipitation of two atoms of barium in the form of
chromate. Each atom of barium is chemically equivalent to
two atoms of hydrogen; therefore one-fourth of a molecule
of K2Cr207 is equivalent to one atom of hydrogen. And
therefore a normal solution of this salt, when used as a
precipitating agent, must contain in one liter one-fourth of
294.2
its molecular weight in grams; = 73-55 g^is.
If K2Cr207 is to be used as an oxidizing agent, the three
atoms of oxygen which it yields for oxidizing purposes must
be taken into account. When this salt oxidizes it splits up
into K20-|-Cr203-l-03. The tliree atoms of oxygen combine
with and oxidize the salt acted upon, or they combine with
an equivalent quantity of the hydrogen of an acid and liberate
the acidulous part, which then combines with the salt. As
the equations show,
6FeO-fK2Cr207 = K20-hCr203+3Fe203 or (FceOg);
6FeS04 + K2Cr207 + 7H2SO4 =
7H20 + K2S04 + Cr2(S04)3+3Fe2(S04)3;
7H2SO4 + K2Cr207 = 3804 + 7H2O + K2SO4 + Cr2(S04) 3.
Each of these atoms of oxygen are equivalent to two atoms
of hydrogen. Thus O3 is equivalent to He.
Hence a liter of a normal solution of K2Cr207, when used
as an oxidizing agent, contains one-sixth of its molecular
weight in grams.
10 THE ESSENTIALS OF VOLUAFETRIC ANALYSIS
The same may be said of potassium permanganate when
used as an oxidizing agent.
2KMn04 has five atoms of oxygen which are available
for oxidizing purposes, and each of these is capable of taking
two atoms of hydrogen from an acid and liberating the acidulous
part. The hydrogen equivalent of this salt may therefore be
said to be one-tenth of the weight of 2KMn04, and a normal
solution of this salt contains 31.606 gms. in a liter.
Sodium Thiosulphate (Hyposulphite), Na2S203, is another
instance. The molecule of this salt has two atoms of sodium,
which have replaced two atoms of hydrogen of thiosulphuric
acid. Thus it would seem that a normal solution -should
contain one-half of the molecular weight in grams. But the
particular reaction of this salt with iodin is taken into account.
One molecule reacts with one atom of iodin, as seen in
the equation
2Na2S203 + h = sNal + Na2S406.
Since iodin is univalent, a molecule of the salt is equivalent
to one atom of hydrogen.
A normal solution of this salt therefore contains the
molecular weight in grams in a liter.
N
Decinormal Solutions, — , are one-tenth the strength of
10 °
normal solutions.
N
Centinormal Solutions, — , are one-hundredth the strength
of normal solutions.
Seminormal Solutions, — , are one-half the strength of
N
Solutions,
normal solutions.
2
Double-normal Solutions, ^, are twice the strength of
the normal.
VOLUMETRIC OR STANDARD SOLUTIONS 11
Empirical Solutions. A solution which does not contain
an exact atomic proportion of the reagent may be employed
as a volumetric solution after its strength or titer has been
determined. Such a solution is said to be empirical, and
solutions of this sort are very frequently used. To prepare
solutions of exactly normal strength is a tedious process and
often inconvenient. If the solution is approximately normal
and its strength accurately determined, it may be used as it
is. Agam, in the case of standard solutions of the caustic
alkalies, which, when not kept with all precautions, deteriorate
readily through absorption of carbon dioxid from the air, as well
as through their action upon the glass containers. To restore
the titer of such solutions by the introduction of more of the
alkali is an unnecessary waste of time, inasmuch as it is only
necessary to determine its exact strength and then use it as
it is. For instance, if an approximately normal solution of
potassium hydroxid is on hand, its strength is determined as
follows:
Ten cc. of an exactly normal oxalic or other acid solution
are put into a beaker, and after diluting with a little water,
and adding three or four drops of methyl orange, the empirical
potassium hydroxid solution is run in from a burette until
the color of the solution changes from red to yellow; the
number of cc. required is then noted.
Assuming that 10.4 cc. were required to neutralize the
100
10 cc. of normal acid, hence its strength is — or 0.9615,
that of a strictly normal solution, and the number of cc. used
100
in any estimation must be multiplied by — or 0.9615,
and then by the normal factor for the substance analyzed.
It is a good plan to have the factor marked on the label
of the bottle containing such an empirical solution. In this
case it would be Xo.96i5=normal.
12 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Standard solutions for use in volumetric analysis are usually
solutions of acids, bases, or salts, and in two cases elements,
namely, iodin and bromin.
A standard solution of a base is usually used for the esti-
mation of free acids.
A standard solution of an acid is usually used for the
estimation of a free base, or the basic part of a salt, the acid
of which can be completely expelled by the acid used in the
sta,ndard solution. Example, carbonates.
A standard solution of a salt may be used as a precipitant,
or it may be used as an oxidizing or reducing agent.
That part of the reagent in a standard solution which
reacts with the substance under analysis is the active con-
stituent of the solution. As Ag in AgNOs is the active con-
stituent of the standard solution of silver nitrate,
AgNOs -hNaCl = AgCl-FNaN03,
or CI in NaCl, is the active constituent of the standard solution
of sodium chlorid.
If the reagent is a base, as KOH, the basic part K is the
active constituent. If the reagent is an acid, the active constit-
uent is the acidulous part, as SO4 in H2SO4.
If the action of the reagent is oxidizing, then that part
of the reagent which produces the oxidation is the active
constituent.
The valence of an acid is shown by the number of replace-
able hydrogen atoms it contains. Thus HCl is univalent,
H2SO4 is bivalent, which means that a molecule of HCl is
chemically equivalent to one atom of hydrogen, and a molecule
of H2SO4 is chemically equivalent to two atoms of hydrogen.
The valence of a base is shown by the number of hydroxyls
it is combined with. As KOH is univalent, Ca(0H)2 is
bivalent.
VOLUMETRIC OR STANDARD SOLUTIONS 13
The valence of a salt is shown by the equivalent of base
which has replaced the hydrogen of the corresponding acid.
Thus NaCl, in which Na has replaced H of HCl, is uni-
valent.
K2SO4, in which K2 has replaced H2 of H2SO4, is bivalent.
Preparation of Volumetric Solutions. In preparing volu-
metric solutions it must be borne in mind that most salts when
dissolved in water cause a condensation in volume, through
reduction of temperature, while some substances, as for instance
sulphuric acid and alkali hydroxids, cause a rise in tempera-
ture and a consequent increase in volume. It is therefore
necessary, after making a solution, to set it aside for a short
time, in order to allow it to attain the proper temperature
before measuring it.
It is always the best plan to take a weighed quantity of
the salt, slightly greater than that required by theory, and
to dissolve it in less water than is needed for the finished
solution. This solution is titrated, its strength determined
and then diluted to the proper measure.
After dilution it should be again carefully titrated and
its titer verified.
All volumetric solutions should be made with distilled
water and with reagents which are of a high degree of purity.
Standard Temperature. A cubic centimeter is the volume
occupied by one gram of distilled water at its maxim um_ density
4° C. (39° F.). This, however, is not the cubic centimeter
used in volumetric analysis. It is convenient to use in analyses
of this sort a cubic centimeter which represents the volume of
one gram of distilled water at a temperature which is easily
attained and maintained at any season of the year.
The temperature at which measuring instruments are
graduated is the temperature at which volumetric solutions
should be prepared, and at which all volumetric operations
14 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
should be conducted. 4° C. is a temperature at which it is
obviously impossible to work except during one or two months
of the year. For this reason the temperature of 16° C. (60.8° F.)
has been taken as the standard. The cubic centimeter used
in volumetric analysis, under this standard, is the volume
occupied by one gram of distilled water at the latter tempera-
ture.
The employment of this standard of temperature, though
long in vogue, is justly criticized as too low. In order to obtain
accurate results the temperature of the atmosphere in which
the titration is performed must not be too much at variance
with the temperature at which the instruments are graduated
and the solutions made. A temperature of 16° C. is one
which is exceedingly dif&cult to maintain in the warm months
of the year, therefore it has been suggested to take a higher
temperature as the standard.
The U.S.P. VIII recommends the employment of 25° C.
(77° F.) as the standard. This, while better than the lower
temperature, is regarded by many as being too high and the
use of 20° C. (68° F.) as the standard is now being very
favorably considered, this being nearer the average temperature
of the atmosphere in laboratories throughout the year. What
ever temperature is adopted, it is at this temperature that
the whole set of measuring instruments must be graduated,
and all titrations carried out. It would be obviously improper
to use a burette graduated at 16° C. and a flask or cylinder
graduated at 25° C, or to employ solutions at a temperature
which is different from that at which they are made.
To Titrate a substance means to test it volumetrically
for the amount of pure substance it contains. The term is
used in preference to " tested " or " analyzed," because these
terms may relate to qualitative examinations as well as quan-
titative, whereas titration applies only to volumetric analysis.
VOLUMETRIC OR STANDARD SOLUTIONS 15
Residual Titration, Re-titration, sometimes called Back
Titration, consists in treating the substance under examina-
tion with standard solution in a quantity known to be in
excess of that actually required; the excess (or residue) is
then ascertained by residual titration with another standard
solution.
Thus the quantity of the first solution which went into
combination is found.
N
Example. Ammonium carbonate is treated first with —
I
H2SO4 in excess, and the excess then found by titration with
I
N
The quantity of the — KOH used is then deducted from
N
the quantity of — H2SO4 added, which gives the quantity of
the latter which was neutralized by the ammonium carbonate.
Titrations may be carried out in flasks, beakers, or in
white porcelain evaporating dishes. Flasks of the Erlenmeyer
pattern, see Fig. 24, ha^dng a short narrow neck and a broad
fiat bottom, are very desirable for this purpose; they admit
of shaking their contents without danger of loss, and permit
ready observation of color changes. If a flask is used the
tip of the burette should extend well into its neck in order
to prevent any loss of the reagent. The flask should be
rotated after each addition of the reagent, and when the end
of titration is near, any of the solution adhering to the sides
of the flask should be washed down with distilled water.
A white porcelain tile, or a sheet of white paper placed under
the flask or beaker, adds materially in the observation of the
color change.
CHAPTER IV
INDICATORS*
In volumetric analysis the substance to be analyzed in
the state of solution is placed in a beaker and the standard
solution is added from a burette until a certain reaction is
produced. The exact moment when a sufficient quantity of
the standard solution has been added is known by certain
visible changes, which differ according to the substance analyzed
and the standard solution used. When such a visible change
occurs the " end-reaction " is reached.
The end-reaction manifests itself in various ways, as
follows :
1. Cessation of precipitation.
2. First appearance of a precipitate.
3. Change of color.
In some cases, however, the addition of the standard
solution to the substance under analysis does not produce
either a precipitate or a change of color; in such cases we
must resort to the use of an indicator.
An indicator is a substance which is used in volumetric
analysis, and which indicates by change of color, or some
other visible sign, the exact point at which a given reaction
is complete.
Generally the indicator is added to the substance under
examination, but in a few cases it is used alongside, a drop
of the substance being occasionally brought in contact with
a drop of the indicator.
* A more detailed description of the individual indicators is given in
the Appendix.
16
INDICATORS 17
Thus in estimating an alkali with an acid volumetric solu-
tion the alkali is shown to be completely neutralized when
the litmus tincture which was added becomes faintly red or
the phenolphthalein colorless. Again, when haloid salts are
estimated with nitrate of silver solution, chroma te of potas-
sium is added as indicator. A white precipitate is produced
as long as any halogen is present to combine with the silver,
and when all is precipitated the chroraate of potassium acts
upon the silver nitrate, forming the red silver chromate, this
color thus showing that all the halogen has been precipitated.
INDICATORS COMMONLY USED
The principle indicators used are:
Tincture of Litmus, which shows acidity by turning red
and alkalinity by becoming blue.
Phenolphthalein Solution, which is colorless in acid solu-
tions and red in alkaline solutions, but is not reUable for
alkaline phosphates, bicarbonates or ammonia.
Methyl-orange Solution turns red with acids and yellow
with alkalies. It is not affected by carbonic acid, and is
therefore adapted for the titration of alkaline carbonates.
Rosolic-acid Solution is yellow with acids and violet-red
with alkalies. It is very sensitive to ammonia.
Tincture of Turmeric turns brown with alkalies, and the
yellow color is restored by acids.
Cochineal Solution turns violet with alkalies and yellowish
with acids. It is used chiefly in the presence of ammonia
or alkali earths.
Eosin Solution is red by transmitted light, and shows a
strong green fluorescence by reflected light. Acids destroy
this fluorescence and alkalies restore it.
Brazil-wood Test-solution turns purplish-red with alkalies
and yellow with acids.
18 THE ESSENTIALS OF VOLUMETRIC ANAl-YSIS
Fluorescein Tect-solution shows a strong green fluorescence
by reflected light in the presence of the least excess of an
alkali.
Neutral Potassium-chromate Test-solution is used in the
titration of haloid salts with silver-nitrate solution. It indicates
that all the halogen has combined with the silver by producing
a red-colored precipitate (silver chroma te).
Potassium-ferricyanide Test-solution is used in the estima-
tion of ferrous salts with potassium-dichromate solution. It
gives a blue color to a drop of the solution on a white slab
as long as any iron salt is present which has not been oxidized
to ferric.
Many other indicators are also used.
THE IONIZATION OR DISSOCIATION THEORY
When a soluble salt dissolves in water, its molecules split
up or dissociate more or less completely into parts called
ions. This behavior of substances, on going into solution,
is known as electrolytic dissociation or ionization.
Ions are electrically charged atoms or groups of atoms
and are of similar composition to the substances formed from
the compound when an electric current is passed through the
solution. The electro-positive ions migrate to and collect
around the negative pole (cathode) and hence are called
cathions, while the electro-negative ions are called anions,
because they concentrate around the positive pole or anode.
The dissociation of a compound into its ions when an electric
current is passed through its solution, although spoken of
as electrolytic dissociation, is really not caused by the electric
current, since the dissociation into ions occurs at once
upon dissolving the substance in water and without the aid
of an electric current, the action of the current being the
transportation of the separated ions to the poles.
INDICATORS 19
The dissociation of compounds into ions when dissolved
in water is illustrated in the following list:
Sodium chlorid into (Na + ) and (CI - )
Potassium nitrate into (K+)
" hydroxid into (K + )
" acetate into (K + )
Sulphuric acid into (H + )
or (H + )
(NO3-)
(0H-)
(C2H3O2-)
(HSO4-)
(H + )and (SO4)
The extent of this dissociation depends upon the nature
of the substance and the degree of dilution; the greater the
dilution the more complete the dissociation. Furthermore,
strong acids and bases dissociate readily, even in compara-
tively concentrated solutions, while the weaker acids and bases
are more or less undissociated when dissolved, i.e., they are
not readily split up into ions. Their salts, however, are
immediately and completely ionized. Therefore, upon neu-
tralizing a weak acid or base, an ionizable salt is formed.
According to the theory of Arrhenius, the reactions of analytical
chemistry are chiefly reactions between ions and not between
atoms.
Strong acids, bases and salts exist in solution, not as
molecules but chiefly in the form of ions. The formation
of silxer chlorid by the reaction between silver nitrate and
sodium chlorid takes place according to the following equation :
Ag/NOgAq. -l-Na/ClAq. = AgCl( solid) -t-Na/NOgAq.
The state of dissociation being denoted by the vertical
line between the ions of the molecules.
+ + - .
This theory also explains why K/CIO3 with Ag/NOs does
not form AgCl, in that the reaction involves the ion CIO3
and not the atom CI.
20 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Theories of Indicators. In connection with the use of
indicators in neutralization analyses, the question as to the
cause of the color changes is one of considerable interest.
Two distinct views are held. Of these the Ionization
Theory of Osiwald has received almost universal acceptance.
According to this theory the color changes are ascribed to a
change in the indicator from a molecular to an ionic condition.
As exemplified in the case of phenolphthalein the colorless
molecule ,
OCOC6H4C-(C6H40H)2 .... (I)
I 1
is dissociated into the red negative ion
OCOC6H4C(C6H40H)C6H40. . . . (II)
In the other and less known view on this subject (the
Chromophoric Theory),* the sensitiveness of the indicators
and its color changes is ascribed to a change in the consti-
tution of the indicator, involving a chromophoric group, under
the influence of hydrogen and hydroxyl ions. According to
this view the color change is due (in the case of phenol-
phthalein) to a change of constitution from the colorless lactoid
(I) with no chromophoric group, to the colored quinoid (III)
with a quinone chromophore.
(NaOOC-C6H4)(HOC6H4)C;C6H4:0, . . (Ill)
and that the ionization of the sodium salt is merely a coin-
cidence and not the cause of the color change.
Whichever of these views is the correct one, remains for
future investigations to prove. That of Ostwald, being most
generally accepted at the present time, is treated more fully
below.
* See Julius Stieglitz, Jour. Am, Chem. Soc , XXV, 1112 (1903).
INDICATORS 21
The Ionization Theory of Indicators.* The indicators used
in allialimetry and acidimetry are compounds of feeble acid
or basic character, and hence not prone to dissociation in
solution, but when neutralized the salt formed ionizes the
instant of its formation; the ions so liberated give rise to
colors which differ from those of the original compounds.
Any feeble acid or base may be utilized as an indicator
if its ions have a color different from that of the un-ionized
compound. Strong acids or bases are not suited as indicators,
because they ionize while in a free state on dilution, and thus
give no color when neutralized.
A solution in which H ions predominate has an acid reac-
tion, while one in which OH ions predominate reacts alkaline.
Phenolphthalein is a feebly acid indicator, and in its
imdissociated state is colorless. It does not dissociate readily
unless neutralized, but when sodium hydroxid is added to
its solution, a sodium salt of phenolphthalein is formed which
immediately ionizes and the ions liberated impart to the solution
a briUiant red color. If now some acid is added the sodium
salt is decomposed and the acid phenolphthalein again set
free, and the solution becomes colorless.
If a few drops of phenolphthalein solution be added to
an acid solution, ionization of the former is prevented by
the presence of the stronger acid; if now some sodium hydroxid
solution is added, the OH ions of the latter unite with the
H ions of the acid, and when the acid is completely neutralized
the first drop of excess of alkali unites with the phenolphtha-
lein, forming a salt which immediately ionizes and produces
the characteristic red color which shows the end of the reaction.
In the titration of a feeble acid the end-point is often
* See Ostwald's ''Lehrbuch der Allgemeinen Chemie," i8gi, and "Scienlific
Foundations of Analytical Chemistry," 1900; also Walker's " Introduction to
Physical Chemistry," 1899.
22 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
indistinct and is lacking in sharpness; this is because the
indicator used has a greater tendency to ionize than the acid
itself. In this case the H ions present just before the com-
pletion of the reaction are not in sufficient amount to fully
retard the ionization of the indicator, and hence the latter
dissociates partly before neutralization is complete and gives
rise to an indefinite end-reaction. Therefore it is necessary
when titrating a feeble acid that an indicator should be selected
whose alkali salt ionizes with the production of a distinct
color change, and whose tendency to ionize is less than that
of the acid. Phenolphthalein is a suitable indicator in this
case, provided a strong alkali be used for titrating.
Fixed alkalies readily yield ionizable salts with phenol-
phthalein, but ammonia does not. The latter being too weak
a base to yield with so feeble an acid, a salt which can with-
stand the hydrolytic action of the water in dilute solutions,
and as a consequence a larger excess of the ammonia must
be used to overcome this. Thus is accounted for the imperfect
color change of phenolphthalein when ammonia or its salts
are present and why the color becomes visible only after a
large excess of the alkali is added.
Paranitrophenol is also an acid indicator; it exists in
solution in the form of undissociated colorless molecules, yet
its electro-negative ion is intensely yellow in color. This com-
pound has a slight tendency to dissociate in dilute solutions,
but the presence of a trace of a stronger acid will overcome
this tendency and the solution remains colorless. If an alkali
is, however, added, a salt of paranitrophenol is formed which
immediately ionizes and exhibits the intense yellow color of
its liberated ion.
Other indicators exhibit a color in both the ionized and
the non-ionized state, but the colors in both conditions are
different, as in the case of litmus, lacmoid and methyl orange.
INDICATORS 23
Methyl orange is both an acid and a base and will form
ionizable salts with either acids or alkalies; its indicator
characteristics are, however, due essentially to its basic char-
acter.
The salt which methyl orange forms with acids dissociates
into red ions; this, upon the addition of an alkali, returns to
its undissociated state, which is yellow. Because of its weak
basic character its compound with acids is readily decomposed
by alkalies, but it takes a strong acid or a relatively large
quantity of a feeble acid to dissociate it in its non-ionized
state, hence this indicator is very sensitive to alkalies, and
much less so to acids.
With reference to the acid character of the indicator the
explanation of its action is that the non-ionized indicator is
red, while its ion is yellow. Acids lessen its ionization and
produce a red color, while alkalies produce a highly ionizable
salt and hence a yellow color. When a weak but slightly
ionizable acid is added to the methyl orange solution, the H'
ions of the acid given up in excess of the amount required for
neutralization are not sufficient to yield enough of a non-
ionizable salt to produce a decided red color, hence a large
quantity of such a weak acid is required to give an acid
indication. This would explain why methyl orange is not
suitable as an indicator for weak acids, and why it is very
sensitive to alkalies.
Litmus is an acid indicator which slightly dissociates in
solution. Its non-ionized molecules are red, but its negative
ions are blue. If it is added to an alkali, a salt is formed
which at once ionizes and gives a blue color. If added to
an acid, ionization is prevented and the red color of the non-
ionized molecules appears.
From the above explanations it will be seen that indicators
cannot be indiscriminately used, and that no one indicator
24 THE ESSENTIALS OF VOI-UMETRIC ANALYSIS
will be suitable for every titration. Hence the indicator must
be selected to suit each case. This selection is facilitated by
reference to the classification of indicators, according to F.
Glaser, Ztchr. f. a. Chem., 1899, 273 + .
Group I. Indicators Forming Fairly Stable Salts. The
members of this group comprise such indicators as are (i) of
a strong acid character and which react readily with weak
bases, or (2) of a feeble, basic character and which require
a strong acid to form a stable salt. Hence they will be found
to be very sensitive to alkalies, and are useful in the titration
of weak bases, as ammonia and the amine bases, as well as
strong bases and acids. The indicators of this group are
the following, arranged in the order of their sensitiveness
towards alkalies:
(i) lodeosin, Resazurin; (2) Tropaeolin OO, Luteol; (3)
Methyl and Ethyl Orange; (4) Congo Red; (5) Cochineal;
(6) Lacmoid.
Group II. Indicators Possessing Faint Acid Properties and
Yielding Salts which are Very Unstable. These are readily
decomposed by relatively feeble acids, and are in consequence
very sensitive towards acids, slightly so towards alkalies.
They are: (i) Rosolic acid; (2) Curcuma; (3) Phenol-
phthalein, Flavescin; (4) Alpha-naphtholbenzein.
Group III. Indicators Occupying a Place Midway between
the Other Two Groups. They are somewhat stronger acids
than those of Group II, but feebler than those of Group I.
They are fairly sensitive towards both acids and alkalies,
but are more sensitive towards acids than those of Group I,
and less so towards alkalies. They are :
(i) Fluorescein, Phenacetolin; (2) Haematoxylin, Gallein,
Alizarin; (3) Litmus; (4) Paranitrophenol.
This division of indicators into groups, as above, facilitates
the selection of an indicator suitable for the work in hand.
INDICATORS 25
For instance, for titrating weak acids, a glance at the groups
will show that the members of Group II are best adapted
for this purpose. Again, weak bases will be best titrated by
the indicators of Group I. Strong acids or bases may be
titrated by means of any of the indicators.
The quantity of indicator taken in a titration is a matter
of considerable moment. The smallest quantity which will
produce a distinct color should be taken, but it is equally
important that the quantity be not too small for the volume
of liquid; for in high dilutions the hydrolytic action of water
asserts itself, and intermediate tints will result, which interfere
with the sharpness of the end color.
If too much of the indicator is used, the sensitiveness is
lessened, because acid or alkali must be added to convert the
indicator into a salt, or when formed to decompose it; i.e.,
a minimum of excess of the titrating fluid would react with
a small portion only of the indicator and intermediate tints
would be produced, until sufficient of the titrating solution
has been added to neutralize all of the indicator present. This
is especially true when using centinormal solutions. 20 drops
of litmus added to 10 cc. of water require from 10 to 14 drops
N
of acid or alkali solution to produce a change of color.
100
Thus the indicator itself takes up some of the standard
solution, and hence the necessity for using as small a quantity
of the indicator as possible; usually from j to ^ drops of the
indicator may be taken to each 50 or 100 cc. of the fluid titrated.
The degree of dilution of the substance titrated is also a
matter of considerable moment. In very concentrated solu-
tions ionization does not so readily occur, while too great a
dilution diminishes the reactive ability of the ions because
of their greater separation, and also because of the hydro-
lytic dissociation of water itself into H" and OH ions which
26 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
react acid and alkaline respectively, and which brings about
a premature dissociation of the indicator.
The Requirements of a Good Indicator, according to H.
A. Cripps, are:
I. The end-reaction should be marked by a prominent
change of color.
II. The smallest possible quantity of the reagent should
be required to effect this change.
III. High tintorial power, which of itself assists in the
fulfilment of the second requirement, less of the indicator
being required.
IV. The change of color should not be affected by the
impurities commonly present in the substance under examina-
tion, nor by the products of the reaction.
In addition to these requirements it is a distinct advantage
if the color reaction is equally decided in alcoholic as in aque-
ous liquids.
A GUIDE FOR THE SELECTION OF INDICATORS
For Hydroxids and Carbonates
Indicators not affected by COj Indicators affected by CO2
(Cold Titrations) (Hot Titrations)
Methyl Orange, Gallein, Phena- Phenolphthalein (useless in
cetolin, Congo Red, lodeosin, presence of NH3 or its salts),
Cochineal. Lacmoid, Rosolic Acid, Resazurin.
For Ammonia {NH3) For Ammonium Carbonate
Same in
also Phe:
phthalein.
Rosolic Acid, Methyl Orange, Same indicators as for ammonia,
Congo Red, Litmus, Gallein. also Phenacetalin and Phenol-
INDICATORS 27
For Inorganic Acids For Organic Acids
H^0„ HCl, HNO3. Phenolphthalein (all) Rosolic
Phenolphthalein, Litmus, Rosolic Acid (except acetic, citric and
Acid, Methyl Orange. tartaric), Galle'in.
Phenolphthalein (neutralized to
NajHPO,).
Methyl Orange and Cochineal
(each neutralized to NaHzPO,).
H,SO,.
Rosolic Acid and Methyl Orange.
Phenolphthalein (after addition
of glycerin). Litmus and Turmeric
paper.
CHAPTER V
APPARATUS USED IN VOLUMETRIC ANALYSES
The Burette is a graduated glass tube which holds from
25 to 100 cc. and is graduated in fifths or tenths of a cc,
and provided at the lower end with
a rubber tube and pinch-cock. The
use of this instrument is to accurate-
ly measure quantities of standard
solutions used in an analysis. It is
in an upright position when in use,
and the flow of the solution can be
regulated so as to run out in a
stream or flow in drops by pressing
the pinch-cock between the thumb
and forefinger. The quantity of
solution used can be read from the
graduation on the outside of the
tube. This is the simplest and most
common form of burette, and is
known as Mohr's (Fig. i).
The use of the pinch-cock in
Mohr's burette may be dispensed
with by introducing into the rubber
tube a small piece of glass rod,
which must not fit too tightly. By
firmly squeezing the rubber tube surrounding the glass rod a
small canal is opened, through which the liquid escapes. A
28
Fig. I.
APPARATUS USKD IN VOLUMETRIC ANALYSES
29
very delicate action can in this way be obtained, and the flow
of the liquid is completely under the control of the operator.
(See Fig. 2.)
The greatest drawback to this burette is that it cannot
be used for permanganate or other solu-
tions that act upon the rubber.
This defect can be overcome by the use
of a burette having a glass stop-cock in
place of the rubber tubing and pinch-
cock. This form has the additional advan-
tage of being capable of delivering the solution
in drops while both hands of the operator are
disengaged (Fig. 3).
Another good arrangement is that in
which the tap is placed in an oblique position,
so that it will not easily drop out of place
(Fig- 4)-
These glass stop-cock burettes should be
emptied and washed immedi-
ately after use, especially if soda
or potassa solution has been
used; for these act upon the
glass and often cause the stop-
per to stick so firmly that it
cannot be turned or removed
without danger of breaking
the instrument.
The most satisfactory form
of glass stop-cock is that shown
in Fig. 5.
When a number of estima-
tions are to be made in which the same volumetric solution is
employed, the arrangement shown in Fig. 6 is very serviceable.
48-
49-
FiQ. 3.
Fig. .\.
30
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
A T-shaped glass tube is inserted between the lower end
of the burette and the pinch-cock and connected by a rub-
ber tube with a reservoir containing the volumetric solution.
The tube which communicates with the reservoir is provided
with a pinch-cock, which, when open, allows the solution to
flow into and fill the burette in so gradual a manner that
Fig. s-
Fig. 6.
The burette is emptied in the usual
no bubbles are formed,
manner.
E. &= A. Automatic Burette (Fig. 7). This is used for
the same purpose as the foregoing. It is provided with a
side tube for connection with reservoir, and has an overflow
cup which prevents its being filled to above the zero mark.
The three-way stop-cock is so arranged that if turned one
APPARATUS USED IN VOLUAJETRIC ANALYSES
31
way the inlet is opened and the liquid from the reservoir flows
into and fills the burette. If turned the other way the inlet
is closed and the outlet is opened and the burette may be
Fio. 7.
Fig. 8.
emptied. If the handle of the stop-cock is turned half-way
round, both openings are closed.
There are many other forms of automatic burettes.
When working with solutions which are readily altered
by contact with air, as for example, stannous chlorid, potas-
32
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
sium, sodium, or barium hydroxid or ammonia, an arrange-
ment like that depicted in Fig. 8 is very serviceable. In this
the upper end of the burette is
connected with the reservoir by
means of a rubber tube, thus
making an air-tight combination
between the burette and the reser-
voir. Its utility may be further
enhanced by providing the reser-
voir with a soda-lime tube or some
other suitable absorption tube.
Another form of apparatus is
shown in Fig. 9. In this both
the burette and the reservoir are
provided with tubes containing
soda-lime to insure a protection
against the admission of CO2
and moisture from the air.
Pinch-cocks used with Mohr's
burettes are of various kinds.
See Figs. 10, 11 and 12.
The screw pinch-cock,* Fig.
12, is a very useful device; it
may be used like the ordinary
pinch-cock by pressure with the
fingers upon a-a, when a rapid
flow is desired, or the nut-screw
{]}) may be so adjusted as to
allow a slower flow or to deliver
the solution in drops, thus giving the operator the freedom
of both hands for other work.
Burette supports are of various forms. One of the best
* W. V. Hergendorf.
APPARATUS USED IN VOLUMETRIC ANALYSES
33
for one or two burettes is shown in Fig. 13. It is made of
iron, can stand firmly upon an uneven surface, and does not
easily tip over. The burettes are fastened to it by means
of clamps, illustrated in Figs. 14 and 15.
A revolving burette-holder for eight burettes is shown in
Fig. 16. Burrette-supports are also made with white porcelain
base, which enables the operator more readily to see the change
of color in the liquid titrated.
Pipettes are of two kinds — those which are marked to
deliver one quantity only, and those which are graduated on
the stem like burettes. Their use is to measure out portions
of solutions with exactness.
34
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Pipettes are filled by applying the mouth to the upper end
and sucking the liquid vp to the mark, then, by closing the
upper opening with the forefinger, the liquid is prevented
from running out, but may be delivered in drops or allowed
to run out to any mark by lessening the pressure of the
finger over the opening.
In using the pipettes of the first class (Fig. 17) the finger
Fig. 14.
Fig. 13.
Fig. 15.
is raised and the instrument allowed to empty itself entirely.
A drop or two, however, usually remains in the lower portion
of the instrument, which may be blown out. By inclining the
pipette and placing the point against the side of the vessel
which is to receive the liquid, the instrument may be emptied
more satisfactorily.
Pipettes of the second class (Fig. 18) are never emptied
completely when in use. The flow of the liquid is regulated
by the pressure of the finger over the upper opening, and
stopped at the desired point.
APPARATUS USED IN VOLUMETRIC ANALYSES
35
A very convenient form of pipette is one which has attached
to its upper end a piece of rubber tubing, into which a short
piece of glass rod has been inserted. By squeezing the
Fin. i6.
rubber surrounding the glass rod firmly between the fingers, a
canal is opened and the liquid can be drawn up into the
pipette by suction with the lips and run out again. By re-
moving the pressure the canal closes and the flow of the
liquid is stopped at any point (Fig. 19).
36
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
The Nipple Pipette is very convenient for measuring small
quantities of liquids, such as i or 2 cc. (Fig. 20).
When a volatile or highly poisonous solution is to be
measured it is not advisable to suck it up with the mouth.
50 ca
JiQ cc.
Fig. 17.
Fig. 18. Fig. iq
The pipette in this case is filled by dipping it into the liquid
contained in a long, narrow vessel, until the liquid reaches
the proper mark on the pipette, then closing the upper opening
and withdrawing. When this is done the liquid which
adheres to the outside of the pipette should be dried off
before the measured liquid is delivered.
A French firm has introduced pipettes provided with suction
APPARATUS USED IN VOLUMETRIC ANALYSES
37
pumps, shown in various forms by Fig. 21, which possess
the advantage over the ordinary forms provided with a com-
pressible rubber bulb, that the liquid can with perfect ease
be drawn up to the desired point on the scale, and with
absolute accuracy maintained at the same height as long as
may be desired.
The Measuring-flask is a vessel made of thin glass having
Fig. 20.
Fig. 21.
a narrow neck, and so constructed as to hold a definite amount
of liquid when filled up to the mark on the neck. These
flasks are of various sizes, holding 100, 250, 500, 1000 cc,
etc., but are generally called " Liter Flasks." (Fig. 22.)
Liter flasks are used for making volumetric solutions.
Those which have the mark below the middle of the neck
are to be preferred, because the contents can be more easily
shaken.
38
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Liter flasks are sometimes made with two marks on the
neck very near together; the lower one is the Uter mark. If
the flask is reqxiired to deliver a liter, it must be filled to the
upper mark, the difference between the two measures being
Fig. 22.
Fig. 23.
Fig. 24.
the equivalent of the liquid which remains in the flask adhering
to the sides.
The Test-mixer, or Graduated Cylinder (Fig. 23) is for
measuring and mixing smaller quantities of solutions. They
are made of different sizes, holding 100, 250, 500 and 1000
cc, and graduated in fifths or tenths of a cc.
Titration Flasks. Titrations may be carried out in flasks
of any usual shape, or in beakers, or evaporating dishes, but
the flask illustrated in Fig. 24 is to be preferred.
CHAPTER VI
ON THE USE OF APPARATUS
It is important that all apparatus used in volumetric
analysis be perfectly clean. Even new apparatus should be
cleansed by passing dilute hydrochloric acid through them
and then rinsing with distilled water.
If the burette, pipette, or other instrument is even slightly
greasy, the liquid will not flow smoothly, and drops of the
liquid will remain adhering to the sides, thus leading to
inaccurate results.
Greasiness may be removed with dilute soda solution.
If this fails the instrument should be allowed to remain for
some little time in a solution containing sulphuric acid and
potassium dichromate, which will radically remove all traces
of grease.
The burette or other measuring instruments should never
be filled with volumetric solution without first rinsing, even
if the burette be perfectly dry.
It is well to wash the inside of the instrument with two
or three small portions of the solution with which it is to be
filled.
The burette may be filled with the aid of a funnel, the
stem of which should be placed against the inner wall of the
burette, so that the solution will flow down the side and thus
prevent the formation of bubbles.
The burette should be filled to above the zero mark, and
the air-bubbles, if there are any, removed by gently tapping
with the finger.
39
40 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
A portion of the liquid should then be allowed to run out
in a stream so that no air-bubbles remain in the lower part
of the burette. In the glass tap burette it can be easily seen
if any air is present, but in the pinch-cock burette it is some-
times necessary to take hold of the rubber tube between the
thumb and forefinger and gently stroke upward. ' Or the
glass nip at the lower end of the burette may be pointed upward,
and the pinch-cock opened wide so that a stream of the liquid
will pass through and force out any air that may be inclosed.
If the titration is to be conducted at a high temperature,
as in the estimation of carbonates, when litmus is used as
the indicator, or in the estimation of sugar by copper solution,
a long rubber tube should be attached to the lower end of
the burette. The boiling can then be done at a little distance,
and the expansion of the liquid in the burette avoided. The
pinch-cock is fixed about midway on the tube.
Hart calls attention to the fact that if the fluid in a burette
or pipette be rim out rapidly at one time and slowly at another,
different amounts of fluid are obtained.
This is due to the adhesion of the fluid to the inner sides
of the instrument, and reading before it has settled down.
It is therefore advisable always to deliver burettes slowly,
as more constant results are then obtained.
Solutions which are measured by means of pipettes should
be dilute, since concentrated solutions adhere to glass with
different degrees of tenacity, and hence the amount of fluid
delivered is slightly less than that measured.
The temperatiure of the solutions measured should be
taken into account, since aU liquids are affected by change
of temperature, expanding and contracting as the tempera-
ture is increased or reduced.
This change of volume in the case of standard solutions
does not exactly correspond to that in pure water; in fact,
ON THE USE OF APPARATUS 41
some of them differ widely. The correction of the volume
of a standard solution for the temperature by the expansion
coefficient of water is not entirely satisfactory, but in the case
of very dilute solutions this may be done.
Casamajor (C. N., xxxv, i6o) gives the following figures
showing the relative contraction and expansion of water below
and above 15° C:
Degrees C. Degrees C.
8— .000590 17 + .C00305
9— .000550 18 + .000473
10— .000492 19 + .000652
11 — .000420 20 + .000841
1 2 — .000334 2 1 + .00 1039
13 — .000236 22 + .001246
14— .000124 23 + .001462
15 — normal 24 + .001686
16 + . 000147 25+.001919
By means of these numbers it is easy to calculate the volume
of liquid at 15° C. corresponding to any volume observed
at any temperature between 8° C. and 25° C. If 25 cc. of
solution had been used at 20° C, the table shows that i cc.
of water passing from 15° to 20° is increased to 1.000841 cc.
Therefore, by dividing 25 cc. by 1.000841, the quotient, 24.97
cc. is obtained, which represents the volume at 15° C. corre-
sponding to 25 cc. at 20° C.
These corrections are of value only for very dilute solutions
and for water, but useless for concentrated solutions. Slight
variations of atmospheric pressure may be disregarded.
ON THE READING OF INSTRUMENTS
In narrow vessels the surface of liquids is never level.
This is owing to the capillary attraction exerted by the sides
of the vessel upon the liquid, drawmg the edge up and forming
42
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
a saucerlike concavity (Fig. 25). All liquids present this
concave surface except mercury, the surface of which is convex.
This behavior of liquids makes it difficult to find a distinct
level, and in reading the measure either the upper meniscus
(a) or the lower meniscus (b) may be used (Fig. 26).
The most satisfactory results are obtained if the lowest
point of the curve (&) is used, especially with light-colored
hr
m
Fig. 25.
Fig. 26.
Fig. 27.
solutions. But if dark-colored or opaque solutions are measured
it is necessary to use the upper meniscus (a) for reading.
In all cases the eye should be brought on a level with the
surface of the liquid in reading the graduation.
The eye is very much assisted by using a small card,
the lower half of which is black and the upper half white,
This card is held behind the burette, the dividing line between
white and black being about an eighth of an inch below the
surface of the liquid. The eye is then brought on a level
with it, and the lower meniscus can be distinctly seen as a
sharply defined black line against the white background (Fig.
27).
ON THE USE OF APPARATUS 43
Erdmann's Float, Fig. 28, is an elongated glass bulb, which
IS weighted at its lower end with mercury, to keep it in an
upright position when floating. It is of such diameter that
Fig. 28. Fig. 29. Fig. 30.
it will slide easily up and down inside of a burette. There
is a ring at the top by which it can be lifted in or out by
means of a bent wire. Around its center a line is marked.
At this line instead of at the meniscus the reading is
taken.
44 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
These floats are sometimes provided with a thermometer,
and they then register the temperature as well as the volume.
Others are provided with projecting points along the sides,
Fig. 31.
Fig. 32.
the object of which is to prevent it from adhering to the walls
of the burette. (See Fig. 29.)
For the purpose of facilitatmg the reading, special forms
of burettes are constructed which are provided with a dark
longitudiaal stripe on a white enameled background (Fig.
30); the reflection of the dark stripe with the meniscus pro-
duces the peculiar appearance shown in Fig. 3 1 . The narrowest
point is at the middle of the meniscus, and by reading from
this point very accurate measurements are obtained. The
ON THE USE OF APPARATUS 45
same effect can be produced by holding behind an ordinary
burette a white flexible card having a heavy black longitudinal
stripe, about one-eighth inch in width.
Another form of burette designed for the purpose of
facilitating reading is that provided with white enameled
sides, leaving a strip of clear glass in front and back (Fig.
32). This form is especially adapted for use with dark-
colored liquids, such as iodin and permanganate.
CALIBRATION OF INSTRUMENTS
Burettes are made from tubes of nearly uniform width.
They are filled with distilled water at 15° C* (59° F.) to the
o mark, and then 25, 50 or 100 cc. run out, and another mark
made at the surface of the hquid. The distance between
these two marks is then divided into 25, 50 or 100 equal
parts, and the spaces again subdivided into fifths and tenths.
Now it is very rarely possible to obtain tubes of exactly the
same caliber throughout, and the divisions made as above
do not always represent exactly what they are intended to.
If the tube is wider at one point the divisions at that
point will contain more, and if it is narrower they will contain
less than they should.
Hence before using a new burette, or in fact any other
measuring instrument, it is essential that the error, if any,
should be determined. This is done as follows:
Fill the burette to the o mark with distilled water at 15°
C. (59° F.) and run out 10 cc. at a time into a small weighed
flask, and weigh after each addition of 10 cc.
Each 10 cc. should weigh exactly 10 gms., and every
* Instead of 15° C. (59° F.) the temperature 25° C. (77° F.) is recommended
because this more nearly approaches the ordinary temperature of the atmosphere
in temperate climes.
46
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
deviation found should be noted and taken into consideration
in using the instrument.
Example
Flask weighed 20.0000 grams.
+ 10 cc.
30.1005 "
+ 20 cc.
40.0499 "
+30 cc.
49.8000 "
+40 cc.
59.9700 "
+ SOCC.
70.0100 "
Thus the ist 10. cc weighed 10.1005 grams.
2d 10 cc. " 9-9494 "
3d 10 cc. " 9-750I "
4th 10 cc. " 10.1700 "
5th 10 cc. " 10.0400 "
Having obtained these data, a table like the following may
be constructed and kept in some convenient place where it
can be readily consulted whenever the burette it represents
is being used. It is not necessary to carry the figure beyond
the second decimal place.
No. of cc.
No. of cc.
No. of cc.
No. of cc.
No. of cc.
No. of cc.
as read on
as
as read on
as
as read on
as
burette.
corrected.
burette.
corrected.
burette.
corrected.
I
1. 01
14
14.06
27
26.79
2
2.02
IS
15-05
28
27
76
3
3 03
16
16.04
29
28
73
4
4.04
17
i7°3
30
29
7°
5
5-05
18
18.02
31
3°
71
6
6.06
19
19.01
32
31
72
7
7.07
20
20.00
33
32
73
8
8.08
21
20.97
34
33
74
9
9.09
22
21.94
35
34
75
10
10.10
23
22.91
36
35
76
II
11.09
24
23.88
37
36
77
12
12.08
25
24.85
38
37
78
13
13 -o?
26
25.82
39
38
79
ON THE USE OF APPARATUS 47
There should be no greater deviation than 0.15 cc. A
burette which deviates more is best not used. In the
foregoing table there is a deviation of 0.30 cc. at one point.
In order to test the accuracy of a pipette, fill to the mark
with distilled water at 15° C. (59° F.); empty into a previously
weighed flask, weigh again and thus determine the weight of
the water measured. One gram is equal to i cc.
Liter flasks are tested as follows:
The flask, perfectly dry and clean, is counterpoised on a
balance capable of turning with .005 when carrying about
2000 grams; it is then filled to the mark with distilled water
at 15° C. (59° F.) and the increase in weight should be exactly
the number of grams as the cc. indicated at the mark.
CHAPTER VII
METHODS OF CALCULATING RESULTS
N .
Each cc. of a — univalent volumetric solution contains
I
rTjVir of the molecular weight in grams of its reagent, and
will neutralize ttVit oi the molecular weight of a univalent
substance, or TjijVir of the molecular weight of a bivalent
substance.
N .
Each cc. of a — bivalent volumetric solution contains
I
xirV-ff of the molecular weight in grams of its reagent, and will
neutralize or combine with -jVinf of the molecular weight of
a bivalent salt, or roVff of the molecular weight of a univalent
salt.
N .
A — is only A the strength of a normal solution and will
neutralize only yV the quantity of salt, etc.
Normal and decinormal solutions of acids should neutralize
normal and decinormal solutions of alkalies, volume for vol-
ume. Decinormal solution of silver nitrate and decinormal
solution of hydrochloric acid or sodium chlorid should combine,
volume for volume, etc.
Rules for Direct Percentage Estimations: i. With normal
solutions tV or -5*0 (according to its atomicity) of the molec-
ular weight in grams of the substance is weighed for titration,
and the number of cc. of the V.S. required to produce the
desired reaction is the percentage of the substance whose
molecular weight has been used.
48
METHODS OF CALCULATING RESULTS 49
Thus, if sodium hydroxid (NaOH) is to be examined by
titration with a normal acid solution ^V of its molecular
weight in grams, 4 gms. is weighed out, and each cc. of the
acid solution required represents one per cent of the pure salt.
If sodium carbonate (Na2C03) is to be titrated 5V oi its
molecular weight in grams, 5.3 gms. is taken.
2. With decinormal solutions -[^-^ or -^ of the molecular
weight in grams of the substance to be analyzed is taken,
and the number of cc. will, in like manner, give the percentage.
The following equations will serve to explain more fully:
.AT'
Sodium hydroxid with — sulphuric acid:
2NaOH + H2SO4 = NaaSOi + 2H2O.
2X40=80 2)98
10)40 ^g = 1000 CC.
4.0 gms. = 100 cc.
. N
Sodium carbonate with — sulphuric acid:
NaaCOs + H2SO4 = Na2S04 + H2O + CO2.
2)98
20) 106 ^g = 1000 CC.
5.3 gms. = 100 cc.
N
With — sulphuric acid:
10
2NaOH + H2SO4 = Na2S04 + 2H2O.
2X40=80 2)^
ioo)_40 4g = 1000 cc.
0.40 gm. = 100 cc.
In the case of a trivalent substance as citric acid ^^ of
the molecular weight in grams is taken for analysis when a
normal solution is employed and ^lu when a decinormal
solution is used.
In other words, when it is desired that each cc. of the
50 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Standard solution should represent one per cent of the substance
upon which it acts, the rule is to take for analysis as much
of the substance as is represented by loo cc. of the standard
solution.
In the case of substances whose percentage of purity is
high, it is advisable to take smaller quantities, in order to
avoid the use of excessive quantities of standard solution.
Thus sulphuric acid, which contains 92.5 per cent of absolute
sulphuric acid, would require under the above conditions 92.5
cc. of normal alkali solution.
In the case of this acid, if 4.9 gms. are taken for analysis,
each cc. of a normal alkali solution would represent one per
cent of H2SO4.
If half of this quantity, i.e., 2.45 gms. are taken for
analysis, each cc. of the normal alkali will represent two per
cent of H2SO4, and thus less of the standard solution will
be required. Again, if 0.49 gm. be taken, each cc. of the
standard alkali will represent 10 per cent of H2SO4.
In the case of liquids where it is not always convenient
to weigh off the exact quantity required for titration by the
direct percentage method, the liquid is diluted to a convenient
degree with water, and then a quantity of this diluted liquid
(representing the weight required of the substance) is measured
for analysis.
Example. A sulphuric acid solution of specific gravity
1.826 is to be analyzed. Two cc. are accurately measured and
diluted to 100 cc. and then 13.41 cc. of this solution (repre-
senting 0.49 gm. of the acid) are taken for analysis.
N
Each cc. of — NaOH V.S. required in the titration rep-
N
resents 10 per cent of absolute H2SO4. If — NaOH V.S.
10
is employed, each cc. will represent one per cent. To de-
METHODS OF CALCULATING RESULTS HI
termine the amount of the dikited Hquid to be taken we
proceed as follows:
Two cc. of sulphuric acid, specific gravity 1.826, weigh
3.652 gms., therefore the 100 cc. of diluted acid contain this
weight, and i cc. of the same contains 0.03652 gm.
If 0.03652 gm. are contained in i cc, then 0.49 gm.
are contained in how many cc. ?
gm. cc. gm.
.03652 : 1 : : 0.49 :x,
x= 13.41 cc.
Factors or Coefficients for Calculating the Analyses. It
frequently occurs that from the nature of the substance, or
from its being in solution, this percentage method cannot be
conveniently followed.
The best way to proceed in such a case is to find the
factor.
The first step in all cases is to write the equation for the
reaction which takes place between the substance under
analysis and the solution used.
For instance, a solution of caustic potash is to be examined,
N
a — solution of sulphuric acid being used.
2KOH + H2SO4 = K2SO4 + 2H2O.
2 )1" 2)95 j,^
56 49 = 1000 CC. — acid.
0.56 gm. .049 = I cf- — acid.
N
The factor for KOH when — solution is used is .056 gm.,
N
that being the quantity neutralized by each cc. of the — acid.
N
If — acid were used the factor would be .0056 gm.
10
52 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
The number of cc. of the acid used to produce the desired
result, when multiplied by the factor, gives the quantity in
grams of KOH in the solution taken.
Example. If lo grams of caustic potash solution were
N
taken, and 40 cc. of — acid were required, the 10 gms. of
solution contained .056 gm.X4o = 2.24 gms. of pure KOH.
To find the percentage the following formula may be
used:
QXioo
W
= %
0-
Q =the quantity of pure substance foimd by calculation;
If = weight of substance taken.
If the above example is taken, we have
2.24X100 „
^^— = 22.4%.
Or the calculation may be made by proportion.
The quantity of the substance taken is always the first
term, and the quantity of pure substance found, the second
term.
The following rule is easily remembered: As the quantity
taken is to the quantity found, so is 100 to x, the percentage
of pure substance in the sample.
Three terms of the equation being given, the fourth is
found by multiplying the means and dividing the product by
the given extreme. By applying this rule to the above case
we have
10 : 2.24 : : 100 : X. ^ = 22.4%.
METHODS OF CALCULATING RESULTS
53
TABLE SHOWING THE NORMAL FACTORS, ETC., OF THE
ALKALIES, ALKALI EARTHS, AND ACIUS.
Substance.
Formula.
Molecular
Normal
Weight.
Factor.*
40
0.040
106
°-°53
84
U.084
56.1
0.0561
138.2
0.0691
100. 1
. lOOI
17 03
0.01703
96.08
0.04804
56..
0.02801;
74-1
0.0370s
100. 1
0.050
63.01
0.063
36.46
0.03646
98.08
. 04904
1 26 . 05
0.063
60.03
. 0603
Quantity of
Substance
to be takent
so that each
N
cc. of - V. S.
1
will indicate
I per cent.
Sodium hydroxid
Sodium carbonate
Sodium bicarbonate
Potassium hydroxid
Potassium carbonate
Potassium bicarbonate ....
Ammonia (gas)
Ammonium carbonate, normal
Lime
Calcium hydroxid
Calcium carbonate
Nitric acid
Hydrochloric acid
Sulphuric acid
Oxalic acid, crystallized . .
Acetic acid
NaOH
NazCOj
NaHCOj
KOH
KjCOs
KHCO3
NH3
CaO
Ca(OH)2
CaCOa
HNO3
HCl
HjSO^
HjC20,-2HjO
HCoHjO,
4.0
5-3
8.4
5-61
6.91
10.01
703.
804
805
70s
3
646
9
3
°3
* This is the coefficient by which the number of cc. of normal solution used is
to be multiplied in order to obtain the quantity of pure substance present in the
material examined.
t This is the quantity of substance to be taken in direct percentage estimations^
Each cc. of — acid or alkali V.S. employed will then indicate i per cent; in the case
I
of many of these substances it will, however, be better to take smaller quantities so
that less of the standard solution be required. Thus if one-half the quantity be
N
taken each cc. of the — V. S. will represent 2 per cent, if A of the quantity be taken
N
each cc. will represent 10 per cent. If. however, — solutions be used and A of the
quantity indicated in the table be taken each cc. will indicate i per cent.
On Stating Results. In reporting the results of volu-
metric work, it is customary to state the quantity of pure
substance found; thus in the case of salts, the quantity of
the anhydrous salt is reported. It is, however, often required
54 THE ESSENTIALS OF V0LUM]:;TRIC ANALYSIS
to state the results according to the duahstic formulae of
Berzelius, that is, the metals are reported as oxids and the
acids as anhydrids. Thus if sodium carbonate is analyzed,
a statement of results by this method will give the quantity
of Na20, spoken of as the base, soda. If we look upon
sodium carbonate as Na20C02, we can readily see io6 gms.
of the anhydrous salt contain 62 gms. of Na20.
By reference to the following equations we see that 98.08
gms. of sulphuric acid will neutralize 62 gms. of Na20 or
106 gms. of Na20C02.
NaaO + H2SO4 = NaaSOi + H2O.
2)62 2)98.08 j^
31 gms. 49.04 gms. =1000 cc. — V.S.
Na20C02+H2S04=Na2S04+H20 + C02.
53 gms. = to 1000 cc. — V.S.
I
N
Thus one cc. of — H2SO4 will represent 0.031 gm. of
Na20 and 0.053 g™- of Na20C02.
In the case of sodium bicarbonate (NaHCOs) two molecules
contain one molecule of the base, soda, as here shown.
2NaHC03 = Na20,H20 (C02)2.
According to this 62 gms. of Na20 represent two molecular
weights (168 gms.) of NaHCOa. In the case of ferrous sul-
phate, one molecule (FeS04) contains, according to this system,
FeO and SO3. In the same way, ferric salts contain Fe203.
In stating the results of analyses of acids according to this
system, the quantity of acid anhydrid found is reported, not
the quantity of the whole acid. Thus if sulphuric acid is
analyzed, the quantity of SO3 is reported. In the case of
phosphoric acid the quantity of P2O5 is stated, etc.
METHODS OF CALCULATING RESULTS
55
TABLE SHOWING THE MCJLECULAR WEIGHTS AND NORMAL
FACTORS FOR THE MoS [' COMMON OXIDS
Name.
Soda ,
Potash
Lime
Magnesia
Lithium oxid
Strontium oxid
Barium oxid
Zinc oxid
Lead oxid
Arsenous oxid
Antimonous oxid . . . .
Mercurous oxid
Mercuric oxid
Ferrous oxid
Ferric oxid
Silver oxid
Sulphuric anhydrid . .
Phosphoric anhydrid .
Nitric anhydrid
Carbonic anhydrid . .
Formula.
Molecular
Weight.
^ Factor.
Na^O
62.0
0.031 gm.
K2O
94.^
U.0471 "
CaO
56. 1
0.028 "
MgO
40.32
0.020 "
LijO
29.88
0.0149 "
SrO
103-63
0.0518 "
BaO
IS3-37
0.0767 "
ZnO
81.37
0.0407 "
PbO
223.1
0.1115 "
AsjO,
197.92
0.049s "
Sb^Os
288,4
0.0721 "
Hg,0
416.0
0.208
HgO
216.0
0.108 "
FeO
71.82
0.0718 "
Fe,03
1 59-. 64
0.0798 "
A&O
231.76
0.1159 "
SO3
80.07
U.040 "
P2O5
142.08
0.02368 "
N2O5
108.02
0.054
COj
44-"
0.022 "
CHAPTER Vni
ANALYSIS BY NEUTRALIZATION
This is based upon the fact that when an acid and an
alkah react each loses its individuality and a neutral salt is
formed, i.e., a body which has neither the character of an
acid nor that of an alkali. This mutual neutralization of
+
acid and alkali is the result of a union of the H' ions of the
acid and the OH' ions of the alkaU, forming non-ionized water
(HOH).
An acid is a compound which in aqueous solution disso-
ciates (ionizes) into positive and negative ions, the positive
ion being H. Thus hydrochloric acid in an ionized state is
+ - + 4- -
H" -l-CI". Sulphuric acid ionizes into H' -f-H' + (SO4).
An alkali is a basic compound which ionizes into positive
and negative ions, and in which the negative ion is (OH).
The reaction between hydrochloric acid and potassium
hydroxid. in accordance with this theory, is illustrated by
the following equation:
H-FCi + K + OH = K + ci+HOH.
An acid is generally recognized as such by its color reac-
tions with certain substances known as indicators; for example,
it turns blue litmus red, and decolorizes a red phenolphthalein
solution. Alkalies are recognized by their turning red litmus
56
ANALYSIS BY NEUTRALIZATION 57
blue, and by producing a deep red color with phenol-
phthalein.
The strength of an acid solution is ascertained by noting
the quantity of alkali that is required to neutralize it. The
stronger the acid, the more alkali is required. The strength
of an alkali is estimated by the quantity of acid which is
required to neutralize it. The estimation of the strength of
acids is called acidimetry, while the estimation of alkalies
is called alkalimetry.
The principal alkaline substances which may be estimated
by means of standard acid solutions are the hydroxids and
carbonates of sodium, potassium, lithium and ammonium, and
the hydroxids and oxids of calcium, barium and strontium
and the alkaloids.
When an acid is brought in contact with an alkali, a
reaction takes place in which a neutral salt is formed. This
is known as neutralization, and takes place between definite
and invariable proportions of the reacting bodies; thus, if
1 12.2 parts of potassium hydroxid are mixed with 98.08 parts
of absolute sulphuric acid, the alkali as well as the acid will
be exactly neutralized. If only 80 parts of the acid have been
added the mixture would still be alkaline, for ,it requires 98.08
parts of the acid to neutralize 112.2 parts of potassium
hydroxid. If more than 98.08 parts of the acid have been
added, the mixture would be acid, and would consist of
potassium sulphate and free sulphuric acid. The reaction
is thus illustrated:
2KOH + H2SO4 = K2SO4 + 2H2O.
2K = 78.2 2H= 2.016
20 = 32.0 5=32.070
2H= 2.016 40 = 64.00
112. 216 98.086
Sodium hydroxid will unite with oxalic acid in the propor-
u8 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
tion of 80.016 parts by weight of the former and 126.048
parts by weight of the latter, as the equation shows.
aNaOH + H2C2O4 ■ 2H2O = Na2C204 +4H2O.
2Na=46 6H-= 6.048
20 = 32 2C = 24.000
2H' = 2.016 60 = 96.000
80.016 126.048
Ammonia water unites with hydrochloric acid as per the
equation,
NH4OH + HCl = NH4CI + H2O.
3S-0S 36.46
Sodium carbonate with hydrochloric acid,
Na2C03 + 2HCI = 2NaCl + H2O + CO2.
106 72.92
Upon a careful perusal of the foregoing equations it will
be seen that since definite weights of acids neutralize definite
weights of alkalies, the quantity of a certain alkali in solution
can be easily determined by the quantity of an acid solution
of known strength required to neutralize it, and vice versa.
Referring to the first equation we see that 98.086 gms.
of H2SO4 neutralize 112. 216 gms. of KOH. If we prepare
a normal solution of H2SO4 we take half the molecular weight,
98.086=49.043 gms., to 1000 cc. Half the molecular weight
is taken because sulphuric acid is a bivalent acid. 1000 cc.
of this solution will neutralize 56.108 gms. of KOH; hence
I cc. will neutralize 0.056108 gm. of KOH.
Thus if 10 gms. of a solution of KOH be treated with
the above normal solution of H2SO4, and it is found that
25 cc. of the acid solution are required to neutralize the
alkali solution, the latter contains 25X0.0561 = 1.40+ gm. of
pure KOH.
Since the acid and alkali as well as the neutral salt which
ANALYSIS BY NEUTRALIZATION 59
is formed are colorless, and no visible change takes place
during the reaction, it is necessary to add some substance
which by change of color will show when the neutralization
is complete. Such a substance is known as an indicator.
In the case of sodium hydroxid with oxalic acid (see the
second equation) we find that 126.048 gms. of crystallized
oxalic acid neutralizes 80.016 gms. of NaOH. Oxalic acid,
like sulphuric, is bivalent, therefore a normal solution of it
contains half the molecular weight in grams,, i.e., 63.024 gms.
in 1000 cc.
1000 cc. w.ill neutralize 40 gms. of NaOH;
I cc. will neutralize 0.040 gm. of NaOH.
The neutralizing power of all normal acids is exactly the
same, because they all contain in 1000 cc. the molecular
weight in grams of the .acid in the case of univalent acids,
and half of the molecular weight in grams of bivalent acids.
Thus I cc. of any normal acid will neutralize 0.0561 gm.
of KOH or 0.040 gm. of NaOH or y^^j-^ of the molecular
weight of any other imivalent alkali, or j^iVir of the molecular
weight of an alkali earth, the latter being bivalent. In like
manner all decLnormal solutions have a like neutralizing
power, their neutralizing equivalence is one-tenth that of
normal solutions.
Thus I cc. of a decinormal acid will neutralize 0.00561
gm. of KOH or 0.0040 gm. of NaOH, etc.
Alkalimetry
Preparation of Standard Acid Solutions. It is possible
to carry out the titration of most alkalies by means or one
standard acid solution, but the same standard acid is not
equally applicable in all cases; furthermore, the standard
acids are frequently employed for other volumetric operations
60 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
than neutralization, and therefore it is advisable to have a
variety.
The standard oxalic acid solution is preferred by some,
because of the ease with which it may be prepared, provided
a pure oxalic acid is to hand. It does not, however, keep
very long, is unreliable for use with methyl orange, and is
inapphcable for the titration of alkali earths, because it forms
insoluble compounds with these metals. Standard hydrochloric
acid is the mbst desirable for alkali earths, because it forms
soluble compounds with them; its disadvantage, however, is
in its volatility and its consequent uselessness in hot titrations.
Standard sulphuric acid is preferred by most analysts as
being the best general standard. A pure acid can be gotten
without difficulty and the standard solution made from it is
unaffected by boiling, and can therefore be used in hot as
well as in cold titrations; it reacts sharply with the indicators
and it keeps its titer indefinitely. It is, however, not suited
for the titration of alkali earths, because it forms insoluble
compounds with them, which precipitate and are very annoying
to the operator. Ip. the preparation of standard solutions the
greatest care should be exercised in order that the product
be absolutely accurate. The slightest inaccuracy in the
strength of a standard solution will result in relative errors
in the analysis. It is customary to prepare one standard
solution, and then from this to adjust various others. For
example, a normal oxalic acid may be made first, and by
means of this a normal alkali solution, which in turn may
be utilized for the adjusting of other standard acid solutions.
N
Normal Oxalic Acid (H2C204- 21120 = 126.048; — V.S.
= 63.024 gms. in 1000 cc). Dissolve 63.024 gms. of pure
oxalic acid (see below) in enough water to make, at or near
15° C, exactly 1000 cc.
AN.\LYSIS BY NEUTRALIZATION " 61
Pure oxalic acid, crystallized, is in the form of colorless,
transparent, clinorhombic crystals, which should leave no
residue when ignited upon platinum foil. It is completely
soluble in 14 parts of water at 15° C. If the acid leaves a
residue on ignition it should be purified by recrystallization,
as directed in the U. S. P.
N
One cc. of — oxalic acid V.S. is the equivalent of
Ammonia gas, NH3 0.017034
Potassium hydroxid, KOH 0.0561
Sodium hydroxid, NaOH 0.040
Potassium permanganate, KMn04 0.0316
Manganese dioxid, Mn02 0.04346
Calcium hydroxid, Ca(OH)2 o-037o53
/N
Decinormal Oxalic Acid I —
\io
V.S. = 6.3024 gms. in looo cc. ).
Dissolve 6.3024 gms. of pure oxalic acid in enough water to
make, at or near 15° C, exactly 1000 cc.
N
Normal Hydrochloric Acid (HC1 = 36.46; — V.S. = 36.46
gms. in 1000 cc). Mix 130 cc. of hydrochloric acid of sp.
gr. 1. 163 with enough water to measure, at or near 15° C,
1000 cc.
Of this hquid (which is still too concentrated) measure
carefully into a flask or beaker 10 cc, add 20 cc. of distilled
water and a few drops of phenolphthalein T.S., and then
gradually add from a burette sufficient recently prepared and
N
standardized — potassium or sodium hydroxid to just produce
a permanent faint pink tint.
N
Note the number of cc. of — alkali solution consumed
and then dilute the acid solution so that equal volumes of
62
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
N
it and — alkali neutralize each other. It is usually advisable
to make two or three titrations, as just described, before
dilution, taking an average of the results.
Example. Assuming that the lo cc. of the acid solution
Fig. 33-
N
required 12 cc. of the — alkali, each 10 cc. of the acid must
be diluted to 12 cc, or the whole of the remaining acid in
the same proportion.
After the dilution a new trial should be made. 10 cc.
of the acid V.S. should require exactly 10 cc. of the alkali.
ANALYSIS BY NEUTRALIZATION 63
This method is fairly satisfactory if an accurately stand-
ardized normal alkali hydroxid solution is at hand; the latter,
however, always contains a small quantity of carbonate, hence
methyl orange would be more desirable as an indicator.
Standardization by Means of Sodium Carbonate. Pure
anhydrous sodium carbonate may be obtained by heating
to dull redness a few grams of pure sodium bicarbonate for
about fifteen minutes. The resulting carbonate is practically
free from impurity.
The sodium bicarbonate loses on ignition one-half of its
carbonic acid gas:
2NaHC03-l-Heat = Na2C03 +CO2+H2O.
The bicarbonate should, however, be tested before igniting,
and if more than traces of chlorid, sulphate, or thiosulphate
are found, these may be removed by washing a few hundred
grams, first with a saturated solution of sodium bicarbonate,
and afterward with distilled water.
0.53 gm. of the pure anhydrous sodium carbonate is
accurately weighed and dissolved in about 200 cc. of water
in a flask and a few drops of methyl orange T.S. added as
indicator. The acid to be " set " or " standardized " is then
run into the sodium carbonate solution until a permanent
light-red color is produced. It should require exactly 10 cc.
of the — acid solution.
I
If 8 cc. of the acid solution are consumed to bring about
the required result, then every 8 cc. must be diluted to 10
cc, or the whole of the remaining solution must be diluted
in this proportion:
NagCOa + 2HCI = 2NaCl + H2O + CO2.
2)106 2)72.9
53 gms. 36.45 = 1000 cc, V.S.
0-53 gm-
= 10 ce. I
61 THE ESSEXTIALS OF VOLUMETRIC ANALYSIS
This method may be employed as well for the standardization
of sulphuric or oxalic acid.
Other Methods for standardizing hydrochloric acid V.S.
are: (a) by means of silver nitrate (gravimetrically and volu-
metrically); (&) by means of borax; (c) by means of the
specific gravity; {d) by means of calc-spar.
N
Normal Sulphuric Acid (112804 = 98.07; -V.S.=48.675
gms. in 1000 cc). Mix carefully 30 cc. of pure concentrated
sulphuric acid (sp.gr. 1.835) ^i''^ enough water to make about
1050 cc, and allow the liquid to cool to about 15° C.
Titrate 10 cc. of this liquid in the manner described under
N
— hydrochloric acid, and dilute it so that equal volumes of
the acid and the alkali will neutralize each other.
The standardization of the normal sulphuric acid solution
may also be effected by the use of pure anhydrous sodium
carbonate, as described under normal hydrochloric acid V.S.,
and by various other methods, among which are: (a) the
iodometric; (b) the specific gravity method; (c) the borax
method; (d) by precipitation with barium chlorid (gravi-
metrically).
Standard acid solutions are used in other strengths besides
N N
normal, namely, Half-normal — , Fifth normal — , Tenth-nor-
N N . . N
mal — , Twenlieih-normal — , Fiftieth-normal — ,and Hundredth-
10 20 50
normal^.
100
Estimation of Alkali Hydroxids
Potassium and sodium hydroxids are usually titrated with
N .
— sulphuric or hydrochloric acid; they are, however, so prone
to absorb carbon dioxid out of the air that they are seldom
free from carbonate, and hence the selection of a^l indicator
ANALYSIS BY NEUTRALIZATION 65
is a matter of some importance. Phenolphthalein or litmus
may be employed, but it is then advisable to boil the solu-
tion while titrating, in order to drive off the liberated carbon
dioxid, because the latter gives an acid reaction with phenol-
phthalein and litmus and thus causes an end-reaction tint to
appear before neutralization is complete. It is better, usually,
to employ an indicator which is not affected by carbon dioxid.
Methyl orange is mostly preferred; cochineal and Congo red
are also useful. These indicators are especially serviceable
in the presence of carbonates in that they are not affected by
carbon dioxid, and can therefore be employed in direct titra-
tions without the use of heat.
The quantity of carbonate in a recent sample of sodium
or potassium hydroxid is so small usually that it is customary
to disregard it and to report the total alkalinity as hydroxid.
A definite quantity of the sample (from 0.5 gm. to i gm.
of the solid or an equivalent of a solution) is taken for analysis,
dissolved in 30 to 50 cc. of water in a white porcelain dish or
a beaker placed over a white surface, and a few drops of a
suitable indicator added.
The vessel is then placed beneath a burette containing
the standard acid solution and the latter run in, drop by drop,
until the last drop just causes the color to change. The
solution should be rotated or stirred after each addition of
the standard acid.
The alkali hydroxids are so exceedingly hygroscopic that
they take up water from the air while being weighed; it is
therefore difficult to make a direct weighing with any degree
of accuracy.
The best way is to take a small piece of the sample (about
I gm.), place it immediately in a tared stoppered flask and
take the weight accurately. It is then dissolved in water,
transferred to the porcelain dish or beaker and titrated.
66 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Potassium Hydroxid (KOH = 56. i) . An accurately weighed
portion (preferably less than i gm.), is placed in a small beaker,
dissolved in 50 cc. of water, three drops of methyl orange added,
N
and the titration begun with — sulphuric acid and continued
until the yellow color of the solution is changed to red. Then
the burette is carefully read to see how much of the acid
solution was used. The number of cc. of the latter are
multiplied by the normal factor for KOH (0.05574) and the
result is the quantity of pure KOH in the sample taken for
analysis.
The following equation illustrates the reaction:
2KOH + H2SO4 = K2SO4 + 2H2O.
2 )112.2 2)98-07 j^
56.1 gms. 49-03 gms., quantity in looo cc. of — acid V.S.
0.0561 gm. (the factor for KOH), quantity neutralized by
I cc. of — acid.
I
N
Thus 1000 cc. of — H2SO4 V.S. contammg 49.03 gms.
of absolute H2SO4 will neutralize 56.1 gms. of KOH. There
N
fore each cc. of — H2SO4 V.S. will neutralize 0.0561 gm. o:
pure KOH.
Example. In the above analysis let it be assumed that
0.915 gm. of potassium hydroxid were taken and that 15.3
cc. of the standard acid were required to neutralize it, then
0.0561 gm.X 15.3 =018583 gm., the quantity of pure KOH in
the 0.915 gm. taken.
The percentage is then calculated in this way:
0.915 : 0.8583 :: 100 :x; ^=93.8+per cent.
0.8583 X 1 00 _ g
0.915 93- •
ANALYSIS BY NKUTRALIZATION 67
Sodium Hydroxid (NaOH = 4o). This is estimated in
exactly the same manner as described for potassium hydroxid,
the following equation being applied:
2NaOH + H2SO4 - Na2S04 + 2H2O.
2)80 2) 98.07 j^
40 gms. 49-03 gms. = iooo cc— V.S.
.040 gm. I cc. — V.S.
The factor.
The official solutions of potassium and of sodium hydroxid
are estimated in this same manner, 10 cc. may be taken for
analysis, diluted with 20 cc. of water.
Ammonia Water (NH3 1120). Three cc. of ammonia water
are put into a stoppered weighing bottle and the weight taken.
40 cc. of water are then added and the solution titrated with
N
— sulphuric acid. As indicator, litmus, methyl orange or
rosolic acid may be used. Phenolphthalein is useless for
titrating ammonia, and even methyl orange and rosolic acid
are unsuitable in the presence of much salts of ammonium.
Because of the volatile character of ammonia its solutions
readily lose strength upon exposure. It is therefore best to
measure a quantity into a weighing bottle and find its weight
as directed for potassium hydroxids. If the specific gravity
of the ammonia solution is known, the weight of a given
volume is easily calculated, it being only necessary to mul-
tiply the volume in cc. by the sp.gr. Thus, if the sp.gr. of
an ammonia solution is 0.9585 and the volume taken is 3
cc, the weight of the 3 cc. is 3X0.9585 = 2.8755 gms.
N
In the titration with ^ sulphuric acid each cc. of the
68 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
latter represents 0.017 SP^- ^^ NH3, as shown by the equa-
tion
2NH3.H20+H2S04=(NH4)2S04-1-2H20.
2)34
17 gms.
2)98.07 j^
49.03 gms. = 1000 cc. — V.S.
,017
Factor.
= xcJv.S.
I
N .
If 16.9 cc. of — acid were required in the above assay,
then C.017 gm.X 16.9 = 0.2873 gm., the quantity of pure NH3
in the 3 cc. (2 8755 gms.) of ammonia water taken.
The percentage is found as follows :
If 3 cc. of ammonia water weighing 2.8755 §™s. contain
0.2873 gm. of NH3, 100 gms. of ammonia water will contain
Xgm. of NH3,
0.2873X100
2-8755
= 9.99 per cent.
Stronger ammonia water and spirit of ammonia may be
estimated in the same manner.
Estimation of Alkali Carbonates
When carbonates are treated with acids carbonic-acid gas
is liberated. This gas shows an acid reaction with most
indicators, and the reaction will seem to be completed before
the alkali is entirely neutralized.
To avoid this, the titration may be conducted at the boiling
temperature (hot way) in order to drive off the carbon dioxid.
The standard acid being added until two minutes' boiling fails
to restore the color indicating alkalinity. If the titration is
conducted at a boiling temperature, it is advisable to attach
to the lower end of the burette a long rubber tube with a
pinch- cock fixed about midway on the tube.
ANALYSIS BY NEUTRALIZATION
69
The boiling can then be done at a little distance from
the burette and the expansion of the standard solution therein
thus prevented.
Another method is to add to the carbonate a measured
excess of the standard acid, and then after boiling to drive
off the carbon dioxid, an indicator is added, and the excess
of standard acid determined by titration with a standard
alkali {residual titration way).
The quantity of the latter,
deducted from the quantity of
the standard acid taken, gives
the quantity of the latter which
reacted with the carbonate. Still
another method is to titrate the
carbonate direct, without heat
{cold way), using an indicator
which is not affected by carbon
dioxid. The best of the indica-
tors which are not so affected is
hiethyl orange; others are cochi-
neal and Congo red. When
employing methyl orange as an
indicator standard oxalic acid
solution should not be used, as
the end-reaction is very indefinite and unreliable.
The end-reaction with this indicator is at all events not
a clearly marked one, and considerable practice and an eye
for .color is required to detect the point at which yellow changes
to pale pink. It is a good plan to have on the bench two
vials, one containing an acid and the other an alkali tinted
with methyl orange, with which comparisons can be made.
Pottassium Carbonate (K2C03 = 138.2), Weigh carefully
one gram of the salt, dissolve in a small quantity of water in
Fig. 34
70 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
a beaker or flask, add a few drops of methyl orange T.S.,
and titrate with normal sulphuric acid imtil a faint orange-
red color appears.
K2CO3 + H2SO4 = K2SO4 + H2O + CO2.
2 )138-2 2)98.07 j^r
69.1 gms. 49.03 gms.= 1000 cc— V.S.
N
Each cc. of — H2SO4, therefore, represents 0.0691 gm.
of pure potassium carbonate.
If 14.3 cc. of the normal acid are required the salt contains
14.3X0.0691 gm. =0.98813 gm. of pure K2CO3 or 98.813
per cent. If it is desired to use litmus or phenolphthalein,
it will be necessary to boil the solution as described above.
Other alkali carbonates are estimated in exactly the same
manner as this, described for potassium carbonate.
Potassium Bicarbonate (KHCO3 =100.1).
2KHCO3 + H2SO4 = K2SO4 + 2H2O + CO2.
2)200.2 2)98.07
100. 1 gms. 49.03 gms. = 1000 cc. — V.S.
I
N
Each cc. of — acid V.S. =0.1001 gm. of KHCO3.
Sodium Carbonate (crystallized) (Na2C03.ioH20 = 286.i6).
NaaCOs-ioHaO + H2SO4 = Na2S04 + 11H2O + COe.
2)286.16 2)98.07
143.08 gms. 49.03 gms. = 1000 cc. — V.S.
N
Each cc. of — acid =0.143 S^- crystallized sodium car-
bonate.
ANALYSIS BY NEUTRALIZATION 71
Sodium Carbonate (anhydrous) (Na2C03 = io6).
NaaCOg + H2SO4 = NagSOi + H^O + CO2.
2)106 2)98.07 ^
53 gms. ' 49.03 gms.= 1000 cc. — V.S.
I
N
Each cc. of — acid =0.053 g™- Na2C03.
Sodium Bicarbonate (NaHC03 = 84).
2NaHC03 + H2SO4 = NaaSOi + 2H2O + 2CO2.
2)168 2)98.07 j^
84 gms. 49.03 gms. = 1000 cc. — V.S.
N
Each cc. of — acid =0.084 g™- NaHCOa.
Lithium Carbonate (Li2C03 = 73.88).
Li2C03 + H2SO4 = LiaSOi + H2O + CO2.
2)73-88 2)98.07 j^
36.94 gms. 49.03 gms. = *ooo cc. — V.S.
1
N
Each cc. of — acid = 0.03694 gm. Li2C03.
Ammonium Carbonate (N3HiiC205 = 157.03). Normal
ammonium carbonate has the formula (NH4)2C03, but the
normal salt loses upon exposure NH3 and H2O. The commer-
cial salt, therefore, generally is a mixture of bicarbonate and
carbamate.
(NH4) 2CO3 - NH3 = NH4HCO3 ;
(NH4)2C03 - H2O = NH4NH2CO2.
The commercial carbonate is therefore generally expressed
thus:
NH4HCO3.NH4NH2CO2 or N3H„C205.
This salt may be estimated by direct titration with normal
72 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
or decinormal acid, using rosolic acid or methyl orange as
an indicator.
Two grams of the salt are taken, dissolved in about 50
N
cc. of water and titrated with — H2SO4 V.S. The reaction
is as follows :
2N3H11C2O5 + 3H2SO4 = 3(NH4)2S04 + 4CO2 + 2H2O.
6)314.0 6 6 )294.18 j^
52.34 gms. 49'°3 gms. = iooo cc. — acid V.S.
N
Each cc. of — acid V.S. represents 0.052 gm. of N3 H11C2O5
or 0.017 gm. of NH3.
If in this titration 37.3 cc. of the standard acid are required
then the two grams of ammonium carbonate contained 0.052
gm.X37.3 = 1.939 gms. of the salt.
1.9^9X100
^ =90.95 per cent.
If rosolic acid is used as indicator heat must be applied
to expel carbon dioxid. The estimation of the carbonic acid
may be effected by precipitating a definite weight of the salt
with barium chlorid, collecting the precipitated barium car-
bonate, dissolving it in a measured excess of normal hydro-
chloric acid and retitrating with normal alkali.
The method usually employed by skilled analysts {the
residual titration method), is to add a measured excess of the
standard acid solution, and thus convert the ammonium car-
bonate into the less volatile ammonium sulphate; then gently
boil to get rid of CO2, and titrate back with a standard alkali
V.S. (using litmus as an indicator) until the excess of acid is
neutralized. The quantity of free acid thus found, when
deducted from the amount of acid first added, gives the quantity
which was required to neutralize the ammonium carbonate.
ANALYSIS BY NEUTRALIZATION 73
Thus 2 gms. in solution of ammonium carbonate are
N
treated with 50 cc. of — H2SO4 V.S., which is more than
sufficient to neutralize it; the solution is then gently boiled
to drive off CO2, a few drops of litmus tincture added, and
N
then titrated with — KOH V.S. until the litmus no longer
shows an acid reaction and the solution is neutral.
N
Let us assume that 12.7 cc. of the — KOH V.S. were
' I
N
used. By deducting the 12.7 cc. from the 50 cc. of — acid
first added, we find 37.3 cc. of the acid went into combination
with the ammonium salt, the calculation is then made as
described above.
Mixed Alkali Hydroxid and Carbonate
If it is desired to ascertain the proportion in which these
exist in a mixture, we proceed as follows:
First determine the total alkalinity by means of normal
hydrochloric acid, using methyl orange as an indicator. Then
dissolve a like quantity of the mixture in 150 cc. of water
and add sufficient barium chlorid to precipitate all of the
carbonate as barium carbonate, and then add water to make
200 cc. and set aside to settle. When the supernatant liquid
is clear take one-fourth (50 cc.) of it, and titrate with normal
hydrochloric acid, using phenolphthalein as indicator.* The
number of cc. multiplied by 4 will be the quantity of normal
* The slight error which occurs in this method because the volume of the
precipitate is included in the measured liquid, may be overcome by using
the entire quantity of liquid, including the precipitate (instead of taking one-
fourth of it), and titrating with oxalic acid V.S. in the presence of phenol-
phthalein. Oxalic acid in very dilute solutions does not react with alkali
earth carbonates.
74 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
acid required by the caustic alkali. The difference between
this and the number of cc. representing the total alkalinity
is calculated as carbonate.
Example. Assuming that we are analyzing a mixture of
sodium hydroxid and carbonate.
Two grams of the substance are dissolved in water and
titrated with normal acid solution. 43.2 cc. of the latter are
required. Another 2 grams is dissolved, treated with barium
chlorid as directed, and one-fourth of the clear solution titrated
with normal acid. 5.6 cc. are required; then 5.6X4=22.4
cc, representing the sodium hydroxid.
43.2 cc. = total alkalinity;
— 22.4X0.040=0.896 gm. sodium hydroxid.
20.8X0.053 = 1.1024 gms. sodium carbonate.
Another way is to filter the mixture after barium chlorid
has been added, titrate the filtrate with normal acid to find
the quantity of hydroxid, then dissolve the precipitated barium
carbonate in normal hydrochloric acid in excess, and retitrate
with normal alkali, thus ascertainmg the amount of carbo-
nate.
When the alkaline carbonate is present in very small
quantities the method of Lunge may be employed.
A few drops of phenacetolin solution are added to impart
a scarcely perceptible yellow to the Hquid. Normal acid
solution is then run in until a pale rose tint appears, indicating
that all the alkali hydroxid is neutralized; the volume of acid
is noted, and the titration continued; the red color is inten-
sified, and when the carbonate is entirely decomposed a
golden-yellow color results.
Considerable practice is required with solutions of known
composition to accustom the eye to the changes of color.
ANALYSIS BY NEUTRALIZATION 75
Mixed Alkali Bicarbonates and Carbonates
Thompson' s Method. Take 2 grains of the salt and dissolve
in 100 cc. of water. Divide the solution into two equal parts
and titrate one portion with normal acid solution, using methyl
orange as indicator, and note the quantity required. We will
assume 13 cc.
Then treat the second portion with a measured excess
(say 25 cc.) of normal sodium hydroxid solution free from
CO2. This converts the bicarbonate into carbonate. Now
add an excess of pure neutral barium chlorid solution in
order to precipitate all the carbonate as barium carbonate,
and then titrate with normal acid, using phenolphthalein as
indicator, to determine the excess of sodium hydroxid. 15
cc. are required. Thus
25—15 = 10 cc, the equivalent of bicarbonate;
and 13—10 = 3 cc, the equivalent of carbonate;
10 X. 084 = .840 gm. sodium bicarbonate;
3 X. 053 = .159 gm. sodium carbonate.
Estimation of Alkalies In the Presence of Sulphites
This is accompHshed by adding hydrogen peroxid to the
solution in order to convert the sulphite into sulphate, and
then titrating in the usual way with normal acid.
Mixed Potassium and Sodium Hydroxids
These are estimated by treatment with tartaric acid solu-
tion, which converts them into bitartrates. The bitartrate of
potassium is almost insoluble in solution of sodium bitartrate
and hence may be separated by filtering. The sodium bitar-
trate is estimated in the filtrate by titration with normal
sodium hydroxid solution. The potassium is found by
difference.
76 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Estimation of Organic Salts of the Alkalies
The tartrates, citrates and acetates of the alkaU metals are
converted by ignition into carbonates, the whole of the base
remaining in the form of carbonate.
Each molecular weight of a normal tartrate gives when
ignited one molecular weight of carbonate:
K2C4H406=K2C03.
Every two molecular weights of an acetate or an acid'
tartrate give one molecular weight of carbonate:
2KC2H302 = K2C03;
2KHC4H406=K2C03.
Every two molecular weights of a normal citrate give
three molecular weights of carbonate :
2K3C6H507 = 3K2C03.
These reactions are taken advantage of in volumetric
analysis, and the tartrates, citrates and acetates of the alkalies
are indirectly estimated by calculating upon the quantity of
carbonate formed by burning them, the quantity of carbonate
being found by titration in the usual manner.
The Process. Before igniting, the salt to be examined
should be thoroughly dried in a desiccator over calcium chlorid
or in a drying oven, the latter only for such salts as have no
water of crystallization in their composition. If the weight
is taken before and after, the amount of moisture present is
determined. One or two grams of the dried salt is weighed
accurately, placed in a porcelain crucible, and heat applied
gradually, until dull redness is reached and white fumes cease
to be given off. Upon applying heat to the salt, the latter
swells, fuses, and then boils, and if the heat is applied too
rapidly at this point, there is apt to be a considerable loss
ANALYSIS BY NEUTRALIZATION 77
of material through sputtering. The completion of the ignition
is known to be reached when the black contents of the crucible
is dry and crisp. The crucible is then allowed to cool, and
its contents treated with boiling water to dissolve out the
alkali carbonate, and the solution filtered through a small,
wetted filter into a flask or beaker. The filtrate should be
perfectly colorless. If it has a yellow or brownish color it
indicates incomplete ignition and should be rejected, and a
fresh quantity of the salt subjected to ignition. The contents
of the crucible and the filter should be washed with several
small portions of water until the washings no longer show
an alkaline reaction. The filtrate mixed with the wash water
is now titrated with standard sulphuric or hydrochloric acid,
using methyl orange as the indicator. From the quantity of
carbonate found in the filtrate, the equivalent amount of the
organic salt may be calculated. The quantity of standard
acid employed is multiplied direct by the factor for the original
salt.
In the case of salts of the alkali earths,* residual titration
should be resorted to. The residue in the crucible being
dissolved in standard hydrochloric acid, and retitrated with
standard alkali.
Lithium salts, because of the sparing solubility of the
carbonate in water, should also be titrated by the residual
method.
Potassium Tartrate (K2C4H406= 226.2). Two grams of
the salt are placed in a platinum or porcelain crucible and
heated to redness in contact with the air until completely
charred; that is to say, until nothing is left in the crucible
but carbonate and free carbon.
The crucible is now cooled, and its contents treated with
* Organic salts of the alkali earths subjected to ignition as above are
reduced partly to oxids.
7S THE ESSENTIALS OF VOLUMETRIC ANALYSIS
boiling water, which dissolves the potassium carbonate, the
carbon being separated by filtration. In order to obtain
every trace of carbonate it is well to wash the crucible with
several small portions of hot water, and add the washings
to the rest of the filtrate through the filter.
If the salt is completely carbonized the filtrate will be
colorless, but if the carbonization is not complete the solution
will be more or less colored and should be rejected, and a
fresh quantity of the salt subjected to ignition.
To the filtrate, which contains potassium carbonate, add
N
a few drops of methyl orange, and titrate with — sulphuric
acid V.S. until a light orange-red color appears and the car-
bonate is neutralized.
The following equations will explain the reactions:
K2C4H4O6 = K2CO3 + C2 + CO + 2H2O
226.2 138.2
then
K2CO3 + H2SO4 = K2SO4 + H2O + CO2
138.2 98.07
therefore
K2C4H4O6 = K2CO3 = H2SO4
2)226.2 2)1,38.2 2)98.07
113.1 gms. = 69.1 gms. = 49.03 gms. = 1000 cc. — V.S.
N
and each cc. of — H2SO4 represents 0.1131 gm. of potassium
tartrate.
Example. Two grams of potassium treated as described
N
above require 16.3 cc. of — H2SO4. It therefore contains
0.1131X16.3 = 1.8435 gms.
1.8435 X 100
^ = 92.17 per cent.
ANALYSIS BY NEUTRALIZATION 79
Potassium and Sodium Tartrate (KNaC4H406.4H20
= 282.22) {Rochelle Salt). This salt is treated in exactly the
same way as described for potassium tartrate.
When ignited the double tartrate is converted into a double
carbonate of potassium and sodium:
KNaC4H406 = KNaCOs + etc.;
210. 1 122. 1
then
KNaCOg + H2SO4 = KNaS04 + CO2 + H2O
therefore
KNaC4H406 = KNaCOs = H2SO4
2)210.1 2)122.1 2)98.07
105.05 61.05 49.03 = 100000 v.s.
I
N
and each cc. of — H2SO4 represents 0.10505 gm. of
KNaC4H406.
Example. If one gram of rochelle salt treated .as above
N
described requires 7 cc. of — sulphuric acid, it contains
0.10505X7=0.7353 gm. = 73.53 per cent.
Potassium Bitartrate (KHC4H4O6 = 188. i) {Cream of Tartar)
The estimation of this salt is affected in the same way as the
tartrate.
The bitartrate having but one atom of potassium in its
molecule, it takes two molecules to form one molecule of
carbonate.
2KHC4H4O6 = K2CO3 = H2SO4
2)376-2 2 )98.07 i^
188. 1 gms. 49.03 gms. = iooo cc. — V. S.
Each cc. of - H2SO4 V.S. =0.1881 gm. of KHC4H4O6.
Another way of estimating bitartrate is to dissolve a weighed
N
quantity in hot water and titrate with — potassmm hydroxid
80 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
until neutral, and thus the amount of tartaric acid existing
as bitartrate is found. The bitartrate is acid in reaction.
In detail the method is as follows:
Two grams of the bitartrate are dissolved in loo cc. of
hot water, a few drops of phenolphthalein T.S. added, and
N
then titrated with — KOH V.S. until a faint, pink color
indicates that all of the acid has been neutralized. Not less
than 10.6 cc. of the normal alkali should be required, corre-
sponding to 98.9 per cent of pure salt.
The following equation will show the reaction:
KHC4H4O6 + KOH = K2C4H4O6 + H2O.
• 188.1 sS.i =1000 cc. of — KOH V.S.
I
N
Each cc. of — KOH V.S. represents 0.1881 gm. of
KHC4H4O6.
If 10.6 cc. are required for neutralization, then io.6Xo.i88i
= 1.99+ gms.:
i.ggXiCKD
=99-5 per cent.
Potassium Citrate (K3C6H507 = 306.3).
2K3C6H5O7 = 3K2CO3 = 3H2SO4.
6)612.6 6)414.6 6)294.18
N
102. 1 gms. 69.1 = 49.03 gms. = 1000 cc. — acid.
N
Thus each cc. of — acid represents 0.1021 gm. of pure
potassium citrate.
Potassium Acetate (KC2H3O2 = 98. i) . In estimating potas-
sium acetate the salt is ignited and the residue treated in
ANALYSIS BY NEUTRATJZATION 81
exactly the same manner as in the estimation of the citrates
and tartrates before mentioned.
2KC2H3O2 = K2CO3.
2)196^ N
98.1 gms. = 1000 cc. — HjSO^.
N
Each cc. therefore of — H2SO4 corresponds to 0.0981
gm. of potassium acetate.
Sodium Acetate (NaC2H302.3H20 = 136.09).
2(NaC2H302.3H20) =Na2C03,
N
Each cc. of — H2SO4 V.S. represents 0.13609 gm. of
crystallized sodium acetate.
Sodium Benzoate (NaC7H502= 144.05).
2NaC7H502 = Na2C03.
N
Each cc. of — H2SO4 V.S. represents 0.14405 gm. of sodium
benzoate.
Sodium Salicylate (NaC7H503 = 160.05).
2NaC7H303 = Na2C03.
N
Each cc. of — H2SO4 V.S. represents 0.16005 S^- of sodium
salicylate.
Lithium Citrate (Li3C6H507 = 209.82). As stated before,
the organic salts of lithium and those of the alkali earth
metals are best titrated by the residual method, after ignition,
because the carbonates formed are insoluble in water. It is
likewise best to use standard hydrochloric instead of standard
sulphuric acid. The process for lithium citrate here given
exemplifies the method.
One gram of the salt is thoroughly ignited in a pprcelain
82
THE ESSENTIALS OF VOLUMETRIC ANALYSIS
crucible as described for potassium tartrate. The residue of
lithium carbonate is then dissolved out of the crucible by add-
N
ing 20 cc. of — hydrochloric V.S. and filtering. The crucible
and filter are washed with several small quantities of water
and the washings adde.d to the acid filtrate. Three drops of
methyl orange are now added, and the solution titrated with
N
— sodium hydroxid V.S. until the yellow color appears.
Assuming that 5.8 cc. of the standard alkali were required,
then 20—5.8=14.2 cc, the quantity of normal hydrochloric
acid which reacted with the lithium carbonate. This quantity
multiplied by the normal factor for lithium citrate, 0.06994,
gives the weight of pure salt in the i gm. taken.
0.06994X14.2 = 0.993+ gm. or 99.3 per cent.
The other lithium organic salts of the U. S. P. are assayed
gravimetrically by conversion to sulphate.
TABLE SHOWING THE NORMAL FACTORS, ETC., OF THE
ORGANIC SALTS OF THE ALKALI METALS.
Substance.
Formula.
Molecular
Weight,
Equivalent
Weight in
Carbonate.
Normal
Factor,
Lithium benzoate
" citrate
" salicylate
Sodium acetate
' ' benzoate
' salicylate
Potassium acetate
" bitartrate . . . .
" citrate
" tartrate
" and sodium
tartrate, . .
LiCjHjOj
LijCeHjO,
LiCjHjOj
NaC2H,Oj-3H20
NaCjHjOj
NaC,H503
KCHjO,
KHC\H,0,
KjCeHjOj-HjO
2K.AH,0„-H20
KNaC,H,0e-4H,0
128
o.S
36
209 82
92
144-05
36
136
09
S3
144
05
53
160
°5
53
98
I
69
188
I
69
324
37
207.
470
50
13S
282, 22
■94
■35
■94
o , 1 2805
o 06994
o 14405
0.13609
o 14405
o 16005
o.ogSl
o . 1881
0.108
U.1131
0.105
ANALYSIS BY NEUTRALIZATION 83
Estimation of AlIcaLi Metals in their Salts
This may be done by first converting the salt into a
sulphate, and then by means of barium hydroxid, forming
an alkali hydroxid which is finally converted into an alkali
carbonate by means of carbon dioxid.
(a) K2S04 + Ba(OH)2 = BaS04 + 2KOH;'
(b) 2KOH + CO2 =K2C03+H20.
The conversion of the original salt into a sulphate may
be done in several ways, depending upon whether the acid
in combination is a volatile or a non-volatile one, as described
below.
Alkalies Combined with Volatile Acids. A definite quantity
of the salt in solution is treated with an excess of sulphuric
acid and evaporated to dryness, and then further heated to
drive off some of the excess of sulphuric acid. The residue,
which consists of the alkali as a sulphate, is dissolved in water
and treated with a slight excess of barium hydroxid solution.
The mixture now contains the alkali in solution as hydroxid,
and a precipitate of barium sulphate (see equation (a)), also
the excess of barium hydroxid in solution. A stream of carbon
dioxid (CO2) is now passed through the mixture; this converts
the alkali hydroxid into carbonate and at the same time
removes the barium hydroxid by precipitating it as barium
carbonate (see equation (b)). When this conversion into car-
bonate is complete, the free carbon dioxid must be driven
off by boiling, because barium carbonate is converted into
the soluble barium bicarbonate, in the presence of free carbon
dioxid. The mixture now contains the alkali in solution as
a carbonate, and a sediment consisting of barium sulphate
and barium carbonate. This mixture is now made up to a
definite volume and the alkali carbonate titrated in the usual
8-1 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
manner in an aliquot portion, which may be removed by
filtration, or by means of a pipette, if the precipitate settles
rapidly and leaves a clear supernatant liquid.
Alkalies Combined with Non-Volatile Acids. In the case
of alkali salts of non-volatile acids, as phosphoric, boric,
chromic, arsenic, molybdic, etc., the acid is removed by means
of lead acetate and the resulting alkali acetate converted into
sulphate by means of sulphuric acid.
(c) K2Cr04+Pb(C2H302)2 = PbCr04 + 2KC2H302;
(d) 2KC2H3O2+H2SO4 =K2S04 + 2HC2H302;
(e) Pb(C2H302)2+H2S04 =PbS04 + 2HC2H302.
To the solution of the salt an excess of lead acetate solu-
tion is added; this causes a precipitation of the acid as a
lead salt and converts the alkali into an acetate which remains
in solution. (See equation (c)). The excess of lead acetate
is also in solution. The mixture is filtered and the filtrate
treated with a slight excess of sulphuric acid. This converts
the alkali acetate into a sulphate (see equation (d)) and
removes the lead acetate by precipitation in the form of lead
sulphate (see equation (e)) which is filtered out, and the
solution of alkali sulphate treated as above described.
Estimation of tlie Salts of the Alkali Earths
Standard solution of hydrochloric or of nitric acid is
preferred by many operators for the titration of hydroxids
or carbonates of the alkali earths.
These acids possess the advantage over most other acids
of forming soluble salts. The hydroxids may be estimated
by any of the indicators, but as they readily absorb CO2 out
of the air they are generally contaminated with more or less
carbonate, and the residual method should be used, i.e., a
known excess of standard acid should be added, the mixture
ANALYSIS BY NEUTRALIZATION 85
boiled to expel any trace of CO2, and titrated with standard
alkali.
The carbonates are of course estimated in the same way,
as are also the organic salts of the alkali earths, after ignition.
As an example:
One gram of calcium carbonate is mixed with 5 cc. of
water. A measured excess of normal hydrochloric acid V.S.
is now added, and the solution boiled to drive off the CO2.
Then add a few drops of phenolphthalein, and titrate with
N
— alkali \^S. until a faint pink color is obtained.
N
Note the quantity of — alkali used, and deduct this from
N
the quantity of — acid first added, and the remainder will
represent the amount of acid which combined with the calcium.
N
Each cc. of — acid V.S. represents 0.05 gm. of CaCO:i.
CaCO.3 + 2HCI = CaCls + H2O + CO3.
2)100 2)72^ j^
50 gms. 36.46 gms, or 1000 cc — acid V.S.
N
Assuming that 30 cc. of — HCl V.S. were added to the i gm.
N
of CaCOs, and that 11 cc. of — KOH V.S. were required
N
to bring the mixture back to neutrality, then 19 cc. of — HCl
were actually required to saturate the CaCOs.
Therefore 0.050X19 = 0.950 or 95 per cent.
The hydroxids and carbonates may also be estimated by
direct titration with standard hydrochloric acid (in the cold)
using methyl orange as indicator. A better plan, however,
would be to add the standard acid in slight excess, and then
standard alkali until a distinct yellow color appears; the
86 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
slight excess of alkali is then determined by adding standard
hydrochloric acid until the red color reappears. A much more
distinct color reaction is thereby obtained. The quantity of
the standard alkali used is deducted from the total quantity
of standard acid added.
Soluble salts of calcium, barium and strontium, such as
chlorids, nitrates, etc., may be readily estimated as follows:
A weighed quantity of the salt is dissolved in water,
cautiously neutralized if it is acid or alkaline, phenolphthalein
is added, the mixture heated to boiling, and standard solution
of sodium carbonate delivered in from time to time, with
constant boiling until the red color is permanent.
This process depends upon the fact that sodium carbonate
forms with soluble salts of these bases insoluble neutral car-
bonates.
CaCla + NazCOa = CaCOg + 2NaCl.
Ba(N03)2 + NajCOs = BaCOs + 2NaN03.
Magnesium salts cannot be estimated in this way, as
magnesium carbonate affects the indicator.
The alkali earth salts may also be estimated by dissolving
them in water, precipitating the base as carbonate, with an
excess of ammonium carbonate and some free ammonia.
The mixture is then heated for a few minutes, and the car-
bonate separated by filtration, thoroughly washed with hot
water till all soluble matters are removed, and then titrated
with normal acid V.S. as carbonate.
Normal Sodium Carbonate V.S. (Na2C03 = io6) contains
53 gms. in i liter. This solution is made by dissolving 53
gms. of pure sodium carbonate (anhydrous) previously ignited
and cooled, in distilled water, and diluting to i liter at 15°
C. (59° F,).
If a pure salt is not at hand the solution may be made as
follows :
ANALYSIS BY NEUTRALIZATION 87
About 85 gms. of pure sodium bicarbonate, free from
thiosulphate, chlorid, etc., are heated to dull redness (not to
fusion) for about fifteen minutes to expel one half of the CO2;
it is then cooled under a desiccator. 'WTien cool, weigh off
53 gms. and dissolve it in distilled water to make i liter at
15° C. (59° F.). This solution should neutralize — acid V.S.
I
volume for volume.
As an example of the process: Take of calcium chlorid
one gram, dissolve it in a small quantity of water, neutralize
the solution if it is acid or alkaline, heat to boiling, add a
N
few drops of phenolphthalein, and titrate with — sodium
carbonate, delivered cautiously while boiling until the red
color is permanent.
CaCla + NaoCOs = CaCOs + 2NaCl.
56.5 gms. 53 gms. or 1000 cc. — V.S.
N
Each cc. of — Na2C03 V.S. represents 0.0565 gm. of
CaCla- If 17 cc. are used the salt contains 0.0565 gm. X17
= 0.96 gm. or 96 per cent.
In the other method in which an excess of ammonium
carbonate is added together with some free ammonia, the
calcium is precipitated as carbonate; this is then separated
by filtration, thoroughly washed with hot water to remove all
soluble matters, and then titrated as directed for carbonate.
CaBra = CaCOz = H2SO4.
2 )198-52 2 )q9-.^.s 2 )98 j^
99.26 gms. 49-675 gms. 49 gms. or 1000 cc. — V.S.
N
Each cc. of — acid thus represents 0.09926 gm. of CaBr2.
88
THE ESSENTIALS OF VOLUIVIETRIC ANALYSIS
The Estimation of Mixed Hydroxids and Carbonates of
Alkali Earths. This may be done as described under esti-
mation of mixed alkali hydroxids and carbonates, page 73,
except that in this case it is unnecessary to precipitate the
carbonate by barium chlorid in that the alkali earth carbonates
are already insoluble.
Acidimetry
The Estimation of Acids by Neutralization. In the preceding
pages it has been shown how alkalies are estimated by the
1,:
t=--^
Fig. 35. Fig. 36.
use of acid solutions of known neutralizing power. In the
estimation of acids, which will now be described, the order
is reversed, alkaline solutions of known power being used
in determinmg the strength of acids and of acid salts. Thus
the procedure is analogous to that of the alkalimetric methods.
ANALYSIS BY NEUTRALIZATION .S9
The choice of the indicator, whether litmus, phenolphthalein,
or methyl orange, depends upon the particular acid to be
estimated. Phenolphthalein is employed for the organic acids
and boric acid and is preferred for phosphoric acid; while
methyl orange and litmus are usually employed in the titration
of the inorganic acids.
The standard alkali used may be either an hydroxid or
a carbonate, the former is, however, usually preferred, because
the carbonate when brought in contact with an acid gives
off carbonic acid gas (CO2) which interferes to a great extent
with most indicators. On the other hand, it must be remem-
bered that the alkali hydroxids are very prone to absorb carbon
dioxid from the atmosphere, therefore their solutions often
contain some carbonate, the presence of which even in small
quantities will occasion errors when used with most indicators,
especially with litmus and phenolphthalein. It is therefore
advisable, when using these indicators or others which arc
affected by carbon dioxid, to employ gentle heat toward the
close of each titration, in order to drive off the liberated gas.
Methyl orange is not affected by this gas, and therefore heating
is not necessary when this indicator is used. In fact, it is
imperative that heat should not be employed with this
indicator.
In acidimetrical operations when methyl orange is used
as indicator, residual titrations may be advantageously done,
because the change of color from yellow to red which is
brought about by the acid is much more readily seen than
that from red to yellow.
In the U. S. P. standard solutions of both potassium and
sodium hydroxid are official. The former, however, is pref-
erable, because it attacks glass more slowly and less energetically,
and also foams much less than does the sodium hydroxid
solution. The neutralizing power of each is, however, the
90 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
same. Standard solutions of alkali hydroxid should be pre-
served in small vials, provided with well-fitting rubber stoppers,
or better still they should be provided with tubes filled with
a mixture of soda and lime, which absorbs CO2 and prevents
its access to the solution. A vessel of this description is
illustrated in Fig. 35.
An improvement upon this is shown in Fig. 36, since it
allows of the burette being filled without removing the stopper,
and consequently without any access of CO2 whatever.
Where a series of titrations of the same kind have to be
made with the same alkali standard solution, the arrangement
shown in Fig. 9 may be used, both the reservoir and the
burette in this case being provided with soda-lime tubes.
Preparation of Standard Alkali Solutions
N
, Normal Potassium Hydroxid (KOH = 56.i; — V.S. = 56.1
gms. in 1000 cc). Potassium hydroxid being prone to absorb
carbon dioxid out of the air the pure article is not readily
obtained in commerce. If pure potassium hydroxid were
easily obtained it would only be necessary to dissolve 56.1
gms. in sufficient water to make 1000 cc. But since it always
contains some CO2 and H2O, it is necessary to take a slight
excess and dilute the solution to the proper volume after having
determined its strength.
The standardization may be effected by means of any of
the standard acid solutions.
A satisfactory method for the preparation and standard-
ization of this solution is as follows:
Dissolve 75 gms. of potassium hydroxid in sufficient water
to make about 1050 cc. at 15° C. (59° F.), and fill a burette
with a portion of this solution.
Dissolve 0.63 gm. of pure oxalic acid in about 10 cc. of
ANALYSIS BY NEUTRALIZATION 91
water in a beaker or flask, add a few drops of phenolphthalein
T.S., and then carefully add from the burette the potassium
hydroxid solution, agitating frequently and regulating the flow
to drops towards the end of the operation until a permanent
pale pink color is obtained. Note the number of cc. of the
alkali solution consumed, and then dilute the remainder so
that exactly lo cc. of the diluted liquid will be required to
neutralize 0.63 gm. of oxalic acid. Instead of weighing off
0.63 gm. of the acid, 10 cc. of its normal solution may be
used.
Example. Assuming that 8 cc. of the stronger potassium
hydroxid solution had been consumed in the trial, then each
8 cc. must be diluted to 10 cc, or the whole or the remaining
solution in the same proportion. Thus if 8 cc. must be diluted
to 10 cc, 1000 cc. must be diluted to 1250' cc.
8:10: : 1000: :*; 31;= 1250 cc.
It is always advisable to make another trial after diluting.
10 cc. should then neutralize 0.63 gm. of pure oxalic acid.
Standardization by Means of Potassium Bitartvate.
This method is based upon the reaction
KHC4H4O6 + KOH = K2C4H4O6 + H2O.
188.: 4 56.1
N
1000 cc. of — KOH contains 56.1 gms. of KOH and will
react with 188.14 gms. of potassium bitartrate. 25 cc. of
— KOH will therefore react with 4.7035 gms. of potassium
I
bitartrate.
A solution of potassium hydroxid, 75 gms. in 1050 cc, is
prepared and titrated against pure potassium bitartrate,
using phenolphthalein as indicator.
92 TPIE ESSENTIALS OF VOLUMETRIC ANALYSIS
4.7035 gms. of purified dry potassium bitartrate * are
dissolved in 100 cc. of boiling distilled water, a few drops (3)
of phenolphthalein are added, and the solution of potassium
hydroxid run into it (the solution being frequently boiled)
until a permanent pale pink color appears. Exactly 25 cc.
will be required if the alkali solution is normal. If only 23
cc. are consumed, then each 23 cc. must be diluted to 25 cc,
or the whole of the remaining solution in the same proportion.
Staiiflardizafioit by Menus of Potasstuni Bl-iodate.\
Potassium bi-iodate is an acid salt and may be directly
titrated with potassium hydroxid, using phenolphthalein as
indicator.
One molecule of the bi-iodate is equivalent to one molecule
of potassium hydroxid, as shown by the equation,
KH(I03)2 + KOH = 2KI03 + HaO.
389.94 56.1
To standardize a potassium-hydroxid solution, weigh ac-
curately 3.8994 gms. of potassium bi-iodate, dissolve it in
about 25 cc. of water, add a few drops of phenolphthalein,
and then run into this, from a burette, the hydroxid solution
* Purified potassium bitartrate for standardizing caustic alkali volumetric
solutions may be obtained as follows: loo gms. of the salt are placed in a
beaker, together with 85 cc. of water and 25 cc. of 10 per cent hydrochloric
acid, the beaker is covered and heated on a boiling water bath, stirring
occasionally for three hours. The liquid is then quickly cooled, decanted,
and the residue washed first by decanlation with 100 cc. of cold water, then
again washed after it has been transferred to a plain filler, using cold water
until the filtrate ceases to become opalescent when acidified with a few drops
of nitric acid upon the addition of silver nitrate solution. The precipitate is
then dissolved in the smallest possible quantity of boiling water (about 1500
cc.) filtered, and the filtrate stirred constantly while cooling. When cold,
the crystalline precipitate is collected upon a filter washed with 300 cc. of
cold water, run through it in small portions at a time. It is then allowed
to drain, and finally dried in an air oven at 120° C. until its weight is constant.
t See Meinecke, Chem. Ztg., XIX. 2. Also Caspari, Proc. A. Ph. A.,
i9°4, 389-
ANALYSIS BY NEUTRALIZATION 93
which is to be standardized, until a pale pink color appears.
Note the number of cc. used and dilute the solution so that
exactly lo cc. of it will neutralize 3.8994 gms. of the bi-iodate.
Example. Assuming that 8.2 cc. had been consumed,
then each 8.2 cc. must be diluted to 10 cc, or the whole of
the remaining solution in the same proportion.
The advantages of this salt as an ultimate standard are
(i) that it may be procured in the market in a state of absolute
purity; * (2) that it is permanent, being neither deliquescent
nor efflorescent; (3) that it can be dried at 110° C. without
decomposition; (4) that the results obtained with it are quite
accurate, and (5) that it may be employed for standardizing
most of the volumetric solutions commonly found in the
laboratory.
Stayidartlisatlon by Means of Normal Acid I'.S. 20 CC.
of a strictly normal acid V.S. are placed into a beaker, 2
drops of phenolphthalein solution are added and the potas-
sium hydroxid solution delivered into it until the liquid just
turns pink and remains so after boiling. If the alkali hydroxid
solution is strictly normal, there will be consumed exactly
20 cc. If less is consumed the solution is too strong and
must be so diluted with distilled water that equal volumes
of it and the normal acid will exactly neutralize each other.
Thus if 18 cc. of the alkali are consumed, then each 18 cc.
must be diluted to 20 cc.
N
Normal Sodium Hydroxid (NaOH = 4o; — V.S. =40 gms.
* According lo Caspari, the salt may be readily prepared as follows: See
A. Ph. A., 1904, 390. Potassium bicarbonate is mixed in solution with an
equivalent amount of iodic acid, and to the neutral solution is added an
amount of iodic acid equal to the quantity first used. The solution is then
evaporated until crystallization begins, and the first crop of crystals rejected.
Those which separate after the solution has cooled to 50° C. are almost pure
and will be rendered absolutely pure if recrystallized.
94 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
in looo cc). Dissolve 54 gms. of sodium hydroxid in enough
water to make about 1050 cc. of solution, fill a burette with
a portion of this, and check it with normal acid, or a weighed
quantity of oxalic acid or potassium bitartrate, in exactly the
same manner as described for normal potassium hydroxid.
Other strengths of standard alkali V.S. are Half-normal
Fifth-normal 1^1, Tenth-normal I — I, Twentieth-
/N\ /N\ /N
normal — , Fiftieth-normal — , Hundreth-normal ( —
\2o/ Vso/' Vioo,
These are all prepared by properly diluting the normal V.S.
and then checking the strength of the product.
Other standard alkali solutions in frequent use are normal
sodium carbonate, normal and other strengths of ammonia,
and decinormal barium hydroxid.
Estimation of the Inorganic Acids
To weigh off directly a definite quantity of a fluid acid, is
not a very easy matter. It is always a better plan to measure
a small quantity of the acid and weigh it accurately in a tared
and stoppered weighing flask (Fig. 37), then to add
water and titrate with the standard alkali in the
presence of a suitable indicator. If the specific gravity
of the acid is known or can be easily taken, it is
sufficient to measure a certain quantity of it by
means of a pipette, and then determine its weight
by multiplying the volume in cubic centimeters by
the specific gravity. It must be remembered, however, that
the liquid must be measured at the same temperature at
which the specific gravity was taken. This method is
applicable to the diluted acids as well as to the concentrated
acids of commerce, as hydrochloric, nitric and sulphuric.
ANALA'SIS BY NEUTRALIZATION
!)5
In the case of very volatile acids, i.e., such as evolve acid
vapors at ordinary temperatures, the determination of the
weight by means of the specific gravity is inadmissable. Such
acids should be weighed in a Lunge pipette. Fig. 38, or in a
simple bulb pipette provided with a glass stop-cock, Fig. 39,
or in a Grethan's pipette. Fig. 40.
The Lunge pipette is used by producing a vacuum in
the bulb (a), the air-tight glass mantle (c) is then removed.
Fig. 39.
Fig. 40.
and the tip of the tube (d) sunk into the acid which is drawn
up into the bulb, upon opening the cock (i); when sufficient
of the acid has been drawn into the apparatus the cock is
closed, the tip of the pipette wiped, the glass mantle put in
place, and the whole weighed. The weight of the empty
pipette deducted gives the weight of the acid taken up. The
pipettes shown in Figs. 39 and 40 are filled by applying direct
suction with the lips, the operator protecting himself against
inhalation of harmful vapors by attaching an absorption tube
containing soda-lime, caustic soda, or similar substance.
96 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
The quantity of acid to be taken (in most cases) should
be such as will require for neutralization from 20 to 50 cc.
of the standard alkali. In the case of concentrated inorganic
acids, 2 or 3 gms. may be taken, while in the case of the
dilute acids, from 6 to 8 gms.
Any of the indicators may be employed for the inorganic
acids, but because of the usual presence of carbonate in the
standard alkali, methyl orange is preferred.
Hydrochloric Acid (HC1 = 36.468). About 2 cc. of hydro-
chloric acid (sp.gr. 1.048) are introduced into a tared weighing
flask and its weight accurately taken. (The weight is found
to be 2.098 gms.) 20 cc. of water are now added, followed
by two drops of methyl orange, and the solution carefully
titrated with normal potassium hydroxid until the reddish
color of the solution is changed to yellow.
Assuming that 18.4 cc. were required, then 18.4 cc. X
0.036468 gm. =0.671 gm. of absolute hydrochloric acid in the
2.098 gms. taken.
To find the per cent apply the proportion
2.098 gms. : 0.671 gm. : : 100: x. ^ = 31. 9 per cent.
The equation is:
HCl + KOH = KCl + H2O.
N
36.468gms,= 56.i gms. = 1000 cc. — V.S.
N
.036468 gm. = I cc. — V.S.
Sulphuric Acid (112804 = 98.07). About i cc. of the
concentrated acid is weighed in a tared weighing flask and
found to weigh 1.8 gms. 20 cc. of water are added and then
2 drops of methyl orange, and the titration with normal potas-
sium hydroxid begun, and cautiously continued until the
yellowish color of the solution indicates the completion of
ANAL\'SIS BY NEUTRALIZATION 97
the operation. Note the number of cc. of alkali solution used
and apply the equation
H2SO4 + 2KOH = K2SO4 + 2H2O.
2 )98.07 2)112.2
49'°3 gms. = 56.1 gms. = 1000 cc. — V.S.
Thus each cc. of normal KOH V.S. represents 0.04903
gm. of pure H2SO4.
Phosphoric Acid (H3P04= 98.064). In the assay of phos-
phoric acid by direct neutralization with standard KOH, the
acid is converted into, first, KH2PO4, then K0HPO4, and finally
into the normal K3PO4. We have no indicator which reliably
shows the completion of the neutralization, i.e., the formation
of the tribasic K3PO4. Litmus cannot be used as indicator
here for the dipotassic or disodichydric phosphate (K2HPO4
or Na2HP04) which is formed is slightly alkaline towards
litmus; the same is true of most other indicators.
It is recommended, therefore, in order to estimate phos-
phoric acid alkalimetrically, to prevent the formation of soluble
phosphate of the alkali, and to bring the acid into a definite
compound with an alkali earth, as follows :
The free acid in a diluted state is placed in a flask and
a known volume of normal alkali in excess added in order
to convert the whole of the acid in a basic salt. A few drops
of rosolic acid are now added, and sufficient neutral BaCl2
solution poured in to combine with the phosphoric acid. The
mixture is heated to boiling, and while hot the excess of alkali
N
is titrated with — acid.
The suspended basic phosphate, together with the liquid,
possesses a rose-red color until the last drop or two of acid,
after continuous heating and agitation, gives a permanent
white or slightly yellowish milky appearance, when the process
is ended.
98 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
The volume of normal alkali, less the volume of normal
acid, represents the amount of alkali required to convert the
phosphoric acid into a normal trisodic or tripotassic phosphate.
H3PO4 + 3KOH = K3PO4 + 3H2O.
3 )98-°64 3 )i68-3 j>^
32.688 gms. 56.1 gms. = 1000 cc. of — KOH V.S.
N
Thus I cc. of — alkali = 0.032688 gm. of H3PO4.
Thompson, however, has demonstrated that this acid may
be accurately titrated by standard alkali when using either
methyl orange or phenolphthalein, or both, successively.
If methyl orange is used the color changes upon the
completion of the formation of monobasic phosphate, KH2PO4,
as per the following equation :
H3PO4 + KOH = KH2PO4 + H2O.
If phenolphthalein is used, the color changes upon the
completion of the formation of the dibasic phosphate, K2HPO4,
H3PO4 + 2KOH = K2HPO4 + 2H2O.
.45 an example: A weighed quantity of the acid is diluted
with water to measure 20 cc. and sufficient pure sodium chlorid
added to saturate the solution. Four drops of methyl orange
N
are then introduced and the titration with — KOH begun
and continued until the red color changes to yellow, indicating
the formation of the monobasic phosphate
H3PO4 + KOH = KH2PO4 + H2O.
N
98.064 gms. 56.1 gms. = 1000 cc. — V.S.
N
Each cc. of - KOH V.S. = 0.098064 gm. of H3PO4.
The use of sodium chlorid in this assay is to decrease the
ionization of the acid salts produced in the reaction.
ANALYSIS BY NEUTRALIZATION 99
Another portion of the acid is treated in like manner,
adding sodium chiorid and titrating, but using phenolphthalein
as the indicator. The titration is continued until a faint
permanent pink color appears. It is advisable to use heat,
or better still, a standard alkali solution which is quite free
from CO2. The end-reaction in this case marks the formation
of the dibasic phosphate
H3PO4 + 2KOH = K2HPO4 + 2H2O.
2)98.064 2)112.2
49.032 gms. 56.1 gms. = 1000 cc. — V.S.
N
Each cc. of — KOH V.S. =0.049032 gm. of H3PO4.
N
Just twice as much of the — KOH V.S. will be taken
in this assay as in the foregoing.
The two assays may be combined as follows: A weighed
quantity of the acid ' is diluted with water saturated with
sodium chiorid and titrated with the normal alkali V.S.
using methyl orange as indicator until the red color of the
solution changes to yellow. The number of cc. is noted and
multiplied by 0.098064 gm. A few drops of phenolphthalein
solution are now added and the titration continued until a
pale-red color appears. The total number of cc. of normal
alkali used in the double titration is then multiplied by
0.049032 gm.
Hypophosphorous Acid (HPH202 = 66.064).
HPH2O2 -h KOH = KPH2O2 + H2O.
N
Each cc. of — alkali represents 0.066064 gm. of HPH2O2.
Nitric Acid (HN03 = 63.01).
HNO.3 4- KOH = KNO3 + H2O.
N
Each cc. of — alkali represents 0.06301 gm. of HNO3.
100 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Hydrobromic and hydriodic acids may be estimated in
the same way as the foregoing, but it is usually preferred to
estimate them by precipitation analysis. Sulphurous acid is
best assayed by oxidation with iodin.
Boric Acid (H3B03 = 62). This acid is estimated by
N
neutralization with — NaOH in the presence of a large
quantity of glycerin. (Thompson's Method, J. S. C. I., XII,,
432). The addition of sufficient glycerin to a boric acid
solution, so that no less than 30 per cent be present throughout
the titration, develops the acidity of boric acid with regard
to phenolphthalein to a great degree, and enables one to
titrate direct with standard soda solution, i gm. of boric
acid is dissolved in 50 cc. of water; to this is added an equal
volume of glycerin, then a few drops of phenolphthalein, and
the titration with normal sodium hydroxid begun and con-
tinued until a pink color appears.
N
Each cc. of — NaOH = 0.062 gm. of H3BO3.
H3BO3 + NaOH = NaH2B03+H20.
N
62 40 gms. in 1000 cc. — V.S.
N
0.062 gm. = I cc. — V.S.
Estimation of the Organic Acids
As the individual organic acids require different indicators,
the table on page 27 should be consulted in the selection of
an indicator for a particular organic acid. Phenolphthalein
is, however, the most suitable for organic acids generally.
Acetic Acid (HC2H302 = 6o). Mix 3 gms. of the acid
with a small quantity of water, add a few drops of phenol-
phthalein T.S., and titrate with normal potassium hydroxid
ANALYSIS BY NEUTRALIZATION 101
V.S. until a permanent pale pink color is obtained, and apply
the following equation:
HC2H3O2 + KOH - KC2H3O3 + H2O.
60 56.1
N
Thus 1000 cc. of — KOH V.S. will neutralize 60 gms.
N
of acetic acid; therefore each cc. of — KOH V.S. represents
0.060 gm. of acetic acid.
If 18 cc. are required to neutralize 3 gms. of the acid, it
contains 18X0.06=1.08 gms. of absolute acetic acid. "
1.08 X TOO
= 36 per cent.
Tartaric Acid (H2C4li406=iSo). Dissolve 2 gms. of tar-
taric acid in sufficient water to make a solution, add a few
drops of phenolphthalein and then pass into the solution
N
from a burette — potassium hydroxid V.S. until a faint pink
tint is acquired by the solution, and apply the equation
H2C4H4O6 + 2KOH = K2C4H4O6 + 2H2O.
75 gms. = 1000 cc— V.S.
The other organic acids are assayed in exactly the same
manner as that described for the foregoing.
Citric Acid (H3C6H507=i92),
HaCeHsOr + 3KOH = K3C6H5O7 + 4H2O.
3)192 N
64 gms. = 1000 cc. — V.S.
N
Each cc. of — KOH represents 0.064 g^- oi citric acid.
102 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
TABLE SHOWING QUANTITY OF SUBSTANCE TO BETAKEN FOR
ANALYSIS IN DIRECT PERCENTAGE ESTIMATIONS.
Molec-
ular
Weight.
Quantity to be
taken so that
each cc. of —
I
V.S. will rep-
resent 1%.
Percentage
strength of
Official
Substance.
Acid, acetic, HC^HjOj
boric, H3BO3
citric, HsCoHsOj-FHjO
hydrobromic, HBr. Dil
hydrochloric, HCl
hydriodic, HI. Dil
hypophosphorous, HPH^Oj
lactic, HC3II5O3
nitric, HNO3
oxalic, HjC204 4- 2H2O
phosphoric, H3PO4
phosphoric with methyl orange
phosphoric with phenolphthalein
sulphuric, HjSOj
tartaric, HjC^H^Oj
trichloracetic, HC2CI3O2
Ammonium carbonate, N3H11C2O5
Ammonia water, NH3
Ammonia water, stronger, NH3
Lime water, Ca(OH)j
Lithium carbonate, LijCOs
" citrate, Li3CeH50,+4H20
Potassium acetate, KC2H3O2
bicarbonate, KHCO3
bitartrate, KHCiH^O,,
carbonate, K2CO3
citrate, K3CoH50,+H20
hydroxid, KOH
hydroxid, liquor, KOH
sodium tartrate
KNaC4H,0„+4H20
Sodium acetate, NaC2H302+3H20
" benzoate, NaCjHsOj
" bicarbonate, NaHC03
" carbonate, Na2C03
5o.o
62,0
210.0
80.92
36.46
127.92
66.04
go.u
63.01
r26.o
98.04
98.07
150.0
163.38
157-11
17.01
17.01
74.09
73.88
281 .92
98.1
100. 1
r88.i
138.2
324-3
56.1
56.1
2S2.1
136.0
144.0
84.0
106.0
6.0
6.2
7-"
8.092
3.646
12.792
6.604
9.0
6.301
6.3
gms.
9.804
4.902
4-9°3
7-5
1-6338
5-25
1-7
1-7
3-7°4
3-69
9-397
9.81
10.01
18.81
6.gi
10.81
5. 61
5-61
14.10
13.6
14.4
8.4
5-3
36
99
99
10
31
10
30
75
68
85-
99
99
98
99
85
5
99
99
99
99
85
14
S
s
ANALYSIS BY NEUTRALIZATION 103
Oxalic Acid (H2C204.2H20=i26).
H2C2O4.2H2O + 2KOH = K2C2O4 + 4H2O.
63 gms. = 1000 cc. — V.S.
N
Each cc. of — KOH represents 0.063 ?>^- of crystallized
oxalic acid.
Lactic Acid (HC3H503 = go).
HC3H5O3 + KOH = KC3H5O3 + H2O.
N
90 56.1 gms. = 1000 cc. — V.S.
N
Each cc. of — KOH represents 0.090 gm. of lactic acid.
Referring to the table it will be seen that if the quantities
indicated are taken for analysis, the amount of standard
solution required for substances of high percentage strength
will be very large (in some cases over 99 cc), while for sub-
stances of low percentage strength, as for instance lime water,
so small a volume of standard solution is required as to be
unreadable (0.14 cc). It is therefore advisable to take for
analysis a smaller quantity of high percentage substances and
a larger quantity of such substances as contain a low per-
centage. It is usually best to so adjust it that no less than
10 nor more than 30 cc. of the standard solution be required.
For example: In the case of citric acid, instead of taking
for analysis 7 gms. it will be better to take one-fourth of this
quantity, then each cc. of the standard solution used will
represent 4 per cent, and only one-fourth as much will be
required, i.e., 24.9 cc. instead of 99.5 cc. Again, in the case
of lime water, if 37.04 gms. are taken instead of 3.704 gms.,
N
1.4 cc. of the — standard solution will be required, which
is better than 0.14 cc, but in this case it will be still better
104 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
to use a decinormal I — I solution, then 37.04 gms. of lime
N
water would require for neutralization just 14 cc. of the —
acid V.S. If half the quantity indicated in the table is taken,
then each cc. of the standard solution will represent 2 per
cent. If one-tenth the quantity is taken each cc. will repre-
sent TO per cent. If double the quantity is taken each cc.
will represent 0.5 per cent", etc.
ESTIMATION OF ACIDS IN COMBINATION IN NEUTRAL SALTS
This may be done in the case of a large number of salts,
by adding to the solution of the salt a measured excess of
alkali or alkali carbonate in the form of normal solution, and
then ascertaining the excess by retitration with normal acid.
Thus the amount of alkali which went into combination with
the acid is obtained. Most bases are precipitated by the
hydroxid; some, however, require the addition of carbonate
to effect their precipitation.
The carbonate is required for alkali earth salts, mag-
nesium salts, alum, zinc salts, bismuth salts, nickel, cobalt,
and lead salts.
. Example. 2 gms. of barium chlorid are dissolved in water
and sufficient normal sodium carbonate added to make the
liquid decidedly alkaline (say 20 cc), and the whole diluted
to 300 cc. and set aside to settle. 100 cc. of the clear super-
natant liquid are then removed with a pipette and titrated
for excess of alkali with normal nitric acid or normal hydro-
chloric acid, of which say 1.2 cc. are required, making it 3.6
cc. for the whole quantity; therefore 20 — 3.6=^16.4 cc. is the
measure of the alkali which combined with the acid of the
orginal salt. This multiplied by 0.03546, the factor for chlorin,
gives 0.57695 gm. of chlorin.
CHAPTER IX'
ANALYSIS BY PRECIPITATION
The general principle of this method is that the deter-
mination of the quantity of a given substance is effected by
the formation of a precipitate, upon the addition of the
standard solution to the substance under examination. There
are three ways of determining the end-reaction in precipi-
tation analyses:
1. By adding the standard solution until it ceases to produce
any more precipitate, as in the estimation of silver by standard
sodium chlorid, and the estimation of haloid salts and acids
by means of standard silver nitrate. The application of this
ending is almost limited to the above estimations, because
in these only can accurate results be obtained. The silver
halids formed are not only quite insoluble, but they have a
tendency to curdle closely upon shaking (especially in acid
solutions), and thus leave a clear supernatant liquid in which
any further precipitation can readily be seen. Most of the
other precipitates, such as barium sulphate, calcium oxalate,
etc., although heavy and insoluble, are so finely divided and
powdery that they do not readily subside.
2. By the use of an indicator, as in the estimation of haloid
salts by means of standard silver nitrate solution, using neutral
potassmm chromate as the indicator. The latter is added to
the haloid solution, and the silver nitrate V.S. delivered into
the mixture until a permanent rod color (silver chromate)
is produced. Silver nitrate reacts by preference with the
halogen, and does not react with the chromate until the halogen
105
106 THE p:ssentials of volumetric analysis
has been entirely precipitated. Hence the production of a
permanent red color in the precipitate marks the completion
of the precipitation of the halogen.
Another illustration is in the estimation of silver by sul-
phocyanate solution, using ferric alum as indicator. The
sulphocyanate produces with the silver a white precipitate
of silver sulphocyanate, but when the precipitation of silver
is complete the sulphocyanate reacts with the ferric alum
present and a red ferric sulphocyanate appears and marks the
end-point. On the other hand, the indicator may be used
externally, i.e., alongside of the liquid being analyzed, a drop
of the latter being brought in contact with a drop of the indi-
cator at frequent intervals in the course of the titration, as in
the estimation of phosphoric acid by means of uranium nitrate
solution, in which potassium ferrocyanide is used as indicator.
3. By adding the standard solution until the first appearance
of a precipitate, as in the estimation of cyanogen by silver
nitrate solution, and the estimation of chlorin by mercuric
nitrate V.S. In these estimations the standard solution is
added to the solution of the substance under analysis until a
precipitate appears.
/N\
Preparation of Decinormal I — I Silver Nitrate (AgNOa
N
= 169.89; — V.S. = 16.989 gms. in 1000 cc). Dissolve 16.989
gms. of pure silver nitrate * in sufficient water to make, at
or near 15° C. (59° F.), exactly 1000 cc. One liter of this solu-
tion thus contains xV of the molecular weight in grams of
silver nitrate. It is therefore a decinormal solution.
If pure crystals of silver nitrate are not readily obtainable,
and pure sodium chlorid is at hand, a solution of the silver
* This should be pulverized and dried at 120° C. for half an hour in a
covered crucible before weighing.
ANALYSIS BY PRECIPITATION 107
nitrate may be made of approximate strength, a little stronger
than necessary, and then standardized by means of the sodium
chlorid, as follows: 0.11692 gm. of sodium chlorid is'dissolved
in water, and a burette filled with the solution of silver
nitrate to be standardized. The silver solution is now slowly
added from the burette to the sodium chlorid solution con-
tained in a beaker until no more precipitate of silver chlorid
is produced.
If neutral potassium chromate is used as an indicator,
the end of the reaction is shown by the appearance of yellowish-
red silver chromate. This indication is extremely delicate.
The silver nitrate does not act upon the chromate until all
of the chlorid is converted into silver chlorid.
In the above reaction 20. cc of silver nitrate should be
required. But since the silver-nitrate solution is too strong,
less of it wil! complete the reaction, and the solution must
be diluted so that exactly 20 cc. will be required to precipitate
the chlorin in o. 11 692 gm. of NaCl.
Thus if 17 cc. are used, each 17 cc. must be diluted to
20 cc, or each 170 cc. to 200 cc, or the entire remaining
solution in the same proportion.
After dilution a fresh trial should always be made.
Silver nitrate solution should be kept in dark amber-
colored, glass-stoppered bottles, carefully protected from dust.
Titration by decinormal silver nitrate V.S. may be managed
in various ways, adapted to the special preparation to be
tested.
1. In most cases it is directed to be used in the presence
of a small quantity of potassium chromate T.S.
2. In some cases it is added until the first appearance of
a permanent precipitate, as in potassium cyanid and hydro-
cyanic acid assays.
3. It may be used in all cases without an indicator by
108 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
•
observing the exact point when no further precipitate occurs.
But since this consumes too much time in waiting for the
precipitate to subside, so as to render the supernatant hquid
sufficiently clear to recognize whether a further precipitate is
produced by the addition of the silver solution, it is imprac-
ticable.
4- It may be added in definite amount, known to be in
excess of the quantity required, and the excess measured
back by titration with decinormal potassium sulphocyanate
V.S., or even with decinormal sodium chlorid V.S. (residual
titration).
N N
Decinormal — Sodium Chlorid (NaCl=?8.46; — V.S.
10 ^ -^ lO
= 5.846 gms. in 1000 cc). Dissolve 5.846 gms. of pure
sodium chlorid in enough water to make exactly 1000 cc.
at the standard temperature.
Check this solution with decinormal silver nitrate. The
two solutions should correspond, volume for volume.
Pure Sodium Chlorid may be prepared by passing into '
a saturated aqueous solution of the purest commercial sodium
chlorid a current of dry hydrochloric acid gas. The crystal-
line precipitate is then separated and dried at a temperature
sufficiently high to expel all traces of free acid.
N
The method of standardizing — NaCl solution is as follows :
0.33978 gm. of silver nitrate is dissolved in 10 cc. of
N
distilled water, and the solution carefully titrated with —
•^ ID
NaCl V.S. until precipitation ceases. 20 cc. of the standard
solution should be required.
AgNOg -t- NaCl = AgCl -t- NaNOg.
10)169.89 io):;8.46 ^
16.989 gms. 5.846 gms., or looo cc. — NaCl V.S.
ANALYSIS BY PRECIPITATION 109
Each cc. of the standard sokition represents 0.016989 gm.
of pure AgNOs.
0.016989X20 = 0.33978 gm.
0.33978X100
^ — =100 per cent.
0-33978 ^
This solution may also be standardized by residual tira-
tion with Volhard's solution.
N
Decinormal — Potassium Sulphocyanate (Volhard's Solu-
N
tion) (KSCN = 97.18; — V.S. = 9.7i8 gms. in 1000 cc). Dis-
solve 10 gms. of pure crystallized potassium sulphocyanate
(thiocyanate) in 1000 cc. of water.
This solution, which is too concentrated, must be adjusted
so as to correspond exactly in strength with decinormal silver
nitrate V.S. For this purpose introduce into a flask 20 cc.
N
of — AgNOs V.S., 3 cc. of ammonioferric sulphate solution,
and 5 cc. of diluted nitric acid (10 per cent and free from
nitrous compounds).
Dilute the Uquid with 75 cc. of distilled water, and titrate
it with the sulphocyanate solution.
At first a white precipitate of silver sulphocyanate is
produced, giving the fluid a milky appearance, and then as
each drop of sulphocyanate falls in it is surrounded by a deep
brownish-red cloud of ferric sulphocyanate, which quickly
disappears on shaking, as long as any of the silver nitrate
remains unchanged.
When the point of saturation is reached and the silvei
has all been precipitated, a single drop of the sulphocyanate
solution produces a faint brownish-red color, which does not
disappear on shaking.
Note the number of cc. of the sulphocyanate solution
110 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
used, and dilute the whole of the remaining solution so that
equal volumes of this and of the decinormal silver nitrate
will be required to produce the permanent brownish-red tint.
(The same tint of brown or red to which the volumetric solution
is adjusted must be attained when the solution is used in
volumetric testing.)
Assuming that 19 cc. of the sulphocyanate solution were
required to produce the reaction, then each 19 cc. must be
diluted to make 20 cc, or the whole of the remaining solution
in the same proportion.
Always make a new trial after the dilution to see if the
N
solutions correspond, e.g., 50 cc. of — silver nitrate are taken,
and 5 cc. of ammonioferric sulphate, 5 cc. of pure nitric acid
and 200 cc. of water are added, and there should be required
exactly 50 cc. of the potassium sulphocyanate solution. The
same depth of reddish-brown tint should be obtained in all
assays by this method, as is obtained in standardizing the
solution.
Estimation of Soluble Haloid Salts
The estimation of these salts is based upon the powerful
affinity existing between the halogens and silver, and the
ready precipitation of the resulting chlorid, bromid and iodid.
Standard solution of silver nitrate is used for this purpose,
and for the sake of exactness and convenience, is made of
decinormal strength. In some cases it is advisable to use
centinormal solutions.
Mohr's Method with Chromate Indicator. This method
is the best to use, if the haloid salts are in neutral solution,
and salts of lead, bismuth, barium or iron are absent. If
the solution is acid the indicator is inadmissable, in that acids
have a solvent action upon silver chromate and thus prevent
the end-reaction from being clearly and accurately observed.
ANALYSIS BY PRECIPITATION 111
If the above-mentioned metals are present, the indicator is
likewise useless, as these bases form insoluble, highly colored
compounds with the chromate. The neutral potassium chro-
mate (yellow chromate) which is used as the indicator must be
free from chlorid * and should be used in the form of a lo
per cent solution.
In the volumetric analysis of soluble haloid salts (chlorids,
bromids and iodids) 0.5 gm. of the well-dried salt is dissolved
in 40 cc. of water in a beaker. This is placed upon a white
surface and a few drops of the chromate indicator (or suffi-
cient to give the solution a pale yellow tint), added. The
decinormal — silver nitrate solution is then added cautiously
from a burette, stirring constantly until a permanent red
tint is produced. The red tint is due to the formation of
silver chromate, which does not appear permanent until the
last trace of halogen has been precipitated.
The reactions are as follows:
NaCl + AgNOs = AgClH- NaNOs
and
K.CrOi + 2AgN03 = Ag2Cr04 + 2KNO3.
If the solution to be estimated is acid it should be accu-
rately neutralized with ammonia, or sodium or calcium car-
bonate. If it is alkaline in reaction it should likewise be
neutralized, using acetic acid for this purpose.
In the estimation of bromids and iodids it must not be
forgotten to take into account the invariable presence of
chlorids as an impurity.
* The presence of chlorid in the chromate solution may be determined
by adding a small quantity of silver nitrate solution, and then some nitric
acid. If the red precipitate dissolves completely and leaves a clear solution,
chlorid is absent. If it is found to be present it may be removed by the
addition of a few drops of silver nitrate solution, and filtering, without using
any nitric acid.
112 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
The method in detail is exemplified in the following assays:
Estimation of Sodium Chlorid. One gm. of the well-dried
sodium chlorid is dissolved in sufficient distilled water to
measure loo cc. Of this solution lo cc. (representing o.i
gm. of the salt) is taken, a few drops of neutral potassium
N
chromate solution added, and then the — silver solution
ID
delivered from a burette with constant stirring or shaking
until the chlorid is entirely precipitated, as evidenced by the
formation of a permanent red color (silver chromate). The
equation is
NaCl + AgNOs = AgCl + NaNOg.
10)58-46 io )i6g.89 j^
5.846 lo.gbg gms. = iooo cc. — V.S.
Thus each cc. of 10 V.S. represents 0.005846 gm. of NaCl.
If in the above assay 17 cc. of the silver solution were required,
then 17X0.005846 gm. =^0.099382 gm. or 99.382 per cent.
0.099^82 X 100
^ =99.382 per cent.
Estimation of Ammonium Bromid. Three gms. of the salt
are dried at 100° C. (212'' F.) (to remove moisture, which
the salt readily absorbs out of the air), and dissolved in suffi-
cient water to measure 100 cc. 10 cc. of this solution (repre-
senting 0.3 gm. of the salt) are placed in a beaker, a few
drops of potassium chromate solution added, and then the
N
— silver nitrate V.S. carefully delivered from a burette until
a permanent red coloration is produced. Apply the equation
NH4Br + AgNOa = AgBr + NH4NO3.
i° )97-93 j^
9.793 gms. = 1000 cc. — V.S.
ANALYSIS BY PRECIPITATION 113
N
Thus each cc. of the — V.S. represents 0.009729 gm. of
N
NH4Br. Not more than 31.6 cc. of — AgNOs should be
required for 0.3 gm. of ammonium bromid. If the salt is
absolutely pure only 30.84 cc. would be required for 0.3 gm.
The excess is due to the presence in the commercial salt of
a certain amount of ammonium chlorid which is precipitated
by the silver nitrate as well as the bromid, and which, having
a lower molecular weight, requires proportionately more silver
nitrate to precipitate it than the bromid does. The presence
of chlorids must always be taken into account in the valua-
tion of bromids, because the latter usually contain more or
less of the former as an impurity.
The Determination of the Amount of Chlorid Present is
calculated as follows: The amount of the salt examined
. N ., . , . . ,
equivalent to 1000 cc. of — silver nitrate solution is first
found thus:
31.6 : 0.3 :. 1000 cc.:x. x =9.493 gms.
This is then deducted from the quantity of pure ammonium
N
bromid (9.729 gms.) which is equivalent to 1000 cc. of —
silver nitrate solution.
9.729-9.493=3/. y=o.236gm.
y represents the excess of — silver nitrate solution used
up by the ammonium chlorid, reckoned in terms of ammo-
nium bromid, and since 5.311 gms. of NH4CI is equivalent
to 9.729 gms. of NH4Br, the excess which NH4CI can consume
is represented by
9.729-5.311=4-418 gms.
therefore,
4.418: 5.311 :; 0.236: 3. 2 = 0.283 gm.
114 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
z represents the amount of NH4CI present in 9.493 gms.
of the sample. Lastly, calculate the percentage
9.493 : 0.283 : : 100 : p. p = 2.g8 per cent of NH4CI.
Thus the salt examined contained 97.02 per cent of NH4Br.
Estimation of Potassium lodid. This is conducted in
exactly the same manner as the preceding salts. The pres-
ence of chlorid (KCl) as an impurity must likewise be taken
into accoimt, and the calculations made to determine its
quantity, in the same manner as described under estimation
of ammonium bromid.
0.5 gm. of the well-dried salt is dissolved in 10 cc. of water, 2
N
drops of neutral potassium chromate are added, and then the —
AgNOa V.S. slowly added from a burette until a permanent
red color of silver chromate is produced. Not more than
30.5 cc. nor less than 30 cc. of decinormal silver nitrate V.S.
should be required. This quantity corresponds to 100 per
cent of the pure salt.
KI + AgNOs = Agl -f KNO3.
10)166.02 ^^
N
16.602 Kms.= 1000 cc. — V.S.
° 10
N
Each cc. of — AgNOs V.S. thus corresponds to 0.016602
gm. of KI.
Thus 0.016602X30.5 = 0.5063 gm.
To determine the amount of chlorid present as an impurity
calculate as follows:
The amount of the salt under examination equivalent to
1000 cc. is first found.
30.5 cc. :o.5 gm. : : 1000 cc. : x. :!(;= 16.393.
ANALYSIS BY PRECIPITATION 115
This is deducted from 16.602 gms., the quantity of pure
N
KI equivalent to 1000 cc. of — AgNOa V.S.
16.602—16.393 = 0.209.
This represents the excess of standard silver solution used
up by the KCl, reckoned in terms of- KI.
Since 7.45 gms. of KCl is equivalent to 16.602 gms. of
KI, the excess which KCl can consume is represented by
16.602-7.45 = 9.152;
therefore
9.152 : 7.45 :: 0.209 :x. x = o.i8i.
0.181 gm. is the amount of KCl in 16.393 g™^- o^ the salt
examined.
The percentage is now calculated.
16.393 ■ o-i8i : : 100 : x. x= 1.104 per cent
of KCl, which leaves 98.896 per cent of pure KI.
The same method of assay may be applied to the following
haloid salts: LiBr, 86.86; KBr, 119,02; NaBr, 102.92; SrBr2,
247.47; ZnBrs, 225.21; Nal, 149-92; NH4CI, 53.50.
Titration without an Indicator — Gay-Lussac's Method. In
this method no indicator is used, the standard solution
being added imtil it ceases to produce any further precipi-
tation. This method is applicable to acid solution of the
haloid salts, and to the haloid acids— hydrochloric, hydro-
bromic and hydriodic; also to the estimation of silver by
standard solution of sodium chlorid. The method is carried
out in hot solutions, slightly acidulated with nitric acid, in
order to facilitate the precipitation of the silver halid. The
haloid acids are neutralized with an alkali and then slightly
acidulated with nitric acid before the titration is begun. The
calculations are precisely like those in the foregoing assays.
116 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Estimation of Haloid Acids
These acids, namely, hydrochloric, hydrobromic and
hydriodic, may be estimated by Gay-Lussac's method @,bove
described, or they may be estimated by Mohr's Method.
using neutral potassium chromate as an indicator. In this
case it is necessary to carefully neutralize the acid with
N
ammonia and then titrate with — silver nitrate solution,
lO '
using a few drops of chromate as indicator, in the manner
described in the foregoing assays. They may also be esti-
mated by Volhard's Method, in which an excess of the standard
silver nitrate solution is used, in the presence of nitric acid,
and the amount of the excess determined by residual titration
with potassium sulphocyanate, using ferric alum as the indi-
cator. This method is especially useful for iodids and hydri-
odic acid, in that the nitric acid need not be added until after
an excess of silver nitrate solution is used, and thus liberation
of iodin by the nitric acid avoided. This method is more fully
described further on.
The estimation of the haloid acids may also be effected
by neutralization with standard alkali, in the same way as
other acids, but since hydrobromic and hydriodic acids are
now frequently prepared by the method of Fothergill, in
which potassium bromid or potassium iodid (according to
the acid to be made) is brought in contact with tartaric acid
(as shown in the equation), an excess of the latter acid is
unavoidably present, and hence the neutralization method is
inapplicable.
KI + H2C4H4O6 = KHC4H4O6 + HI
Dtassium Tartaric acid Potassium Hydriodi
Iodid Bitartrate Acid
KBr " " HBr
ANALYSIS BY PRECIPITATION 117
Assay of Hydrobromic Acid, Using Chromate as Indicator.
lo gms. of hydrobromic acid are diluted with sufi&cient dis-
tilled water to make loo cc. lo cc. of this solution, repre-
senting I gm. of the acid, is exactly neutralized with diluted
ammonia water (using litmus solution as indicator); 3 drops
of neutral potassium chromate solution are added, and then
N . . .
the — silver nitrate run m from a burette until the solution
10
acquires a permanent red tint. The following equation is
then applied:
HBr + AgNOs = AgBr + HNO3.
10)80.02
■ — - — N
8.092 gms. = 1000 cc. — V.S.
10
If the assay is to be made by the direct percentage method,
8.092 cc. (8.09 cc.) of the solution (10 gms. in 100 cc.)
(representing 0.809 gms. of the acid) should be taken, in
which case each cc. of the standard silver solution consumed
will at once indicate i per cent.
Volhard's or Sulphocyanate Method. This method depends
upon completely precipitating the halogen in the presence of
nitric acid, by a measured excess of standard silver nitrate
solution, and then estimating the excess of silver by retitrating
with standard sulphocyanate solution, using ferric alum as
an indicator.
The sulphocyanate has a greater affinity for silver than
it has for iron, and therefore, so long as any silver is in solu-
tion, the sulphocyanate will combine with it and form a pre-
cipitate of silver sulphocyanate.
As soon as the silver is all taken up, the sulphocyanate
will combine with the ferric alum and strike a brownish-red
color.
The sulphocyanate solution is to be made of such strength
118 THE ESSENTIALS OF VOLUMETRIC 7VNALYSIS
that it corresponds with the silver solution, volume for
volume.
The difference between the volume of silver solution origi-
nally added and the volume of sulphocyanate solution used,
will give the volume of silver solution equivalent to the haloid
salt present.
This method has the advantage over the direct method
for haloids with chromate indicator, in that it may be used
in the presence of nitric acid. It thus enables one to estimate
the haloids in the presence of phosphates or other salts which
precipitate silver in neutral but not in acid solutions, and also
in that the presence of barium, bismuth, lead, iron and other
metals do not interfere, as they do with the chromate in
Mohr's method. The presence of mercury, however, exerts
a disturbing influence upon the end-reaction. The nitric acid
acidulates the solution and thus facilitates the precipitation
of silver by the halogens, and prevents its precipitation by
other substances. The quantity of nitric acid employed is of
no great importance, except in the case of iodids (because
silver iodid is slightly soluble in nitric acid). Usually suffi-
cient of the acid is added to just remove the color produced
by the indicator. A very large excess of the acid would,
however, interfere with the proper determination of the end-
reaction, in that it to a slight extent prevents the formation
of ferric sulphocyanate. In the estimation of iodids by this
method, the nitric acid should be added after the standard
silver solution, while in the case of the other haloid salts the
acid may be added before.
The indicator also should be added after the standard
silver solution, when estimating iodids, because being a ferric
salt it is, like nitric acid, capable of liberating iodin.
The solutions required for this method are:
(I) Decinormal Silver Nitrate (page io6);
ANALYSIS BY PRECIPITATION 119
(II) Decinormal Potassium Sulphocyanate (page 109);
(III) Ferric Alum Solution. (The indicator.)
This is a 10 per cent aqueous solution of ferric-ammonium
sulphate, Fe2(S04)3- (NH4)2S04 + 24H20.
(IV) Nitric Acid (C. P.). This must be free from nitrous
acid. If it or any of the lower oxids of nitrogen are present
they may be removed by diluting with one-fourth part of
water and boiling until colorless.
The process is exemplified in the following assays :
Assay of Hydriodic Acid by the Sulphocyanate Method.
Introduce into a 200-cc. stoppered flask 2 gms. of the acid,
add 50 cc. of distilled water and 25 cc. (accurately measured)
of decinormal silver nitrate, shake thoroughly, and then add
5 cc. of the ferric alum solution and 3 cc. of nitric acid,
C. P. The flask is stoppered and again thoroughly shaken,
and finally, the decinormal potassium sulphocyanate run in
slowly from a burette, until a permanent reddish-brown tint
is produced. Note the number of cc. of sulphocyanate solu-
tion employed.
Deduct this from the 25 cc. of silver solution added, and
multiply the remainder by the factor for HI, which is 0.01269.
I. HI + AgNOa = Agl + HNO3.
10) 127.92 10)169.89
12.792 gms. 16.989 gms. = 1000 cc. — V.S.
N ^°
0.012792 gm. of HI = i cc. — V.S.
10
II. AgNOa -hKSCN=AgSCN-hKN03.
III. Fe2(NH4)2(S04)4 + 6KSCN
= Fe2(SCN)o + (NH4)2S04+3K2S04.
The reddish-brown color which marks the end-reaction
is due to the formation of Fe2(SCN)6 ferric sulphocyanate.
120 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Assuming that in the above titration 10.2 cc. of decinormai
sulphocyanate were employed, then 25 cc. — 10.2 = 14.8 cc.
0.012792X14.8 = 0.1893 gm.
0.1893X100
= 940 per cent.
Assay of Syrup of Hydriodic Acid. Six gms. of the syrup
are weighed off carefully in a 200-cc. stoppered flask, 20 cc.
of distilled water are added, followed by 10 cc. of decinormai
silver nitrate and the mixture thoroughly shaken. Five cc. of
diluted nitric acid and 3 cc. of the ferric alum solution are
now added, and after again shaking the mixture it is titrated
with decinormai potassium sulphocyanate until a permanent
reddish-brown tint appears. If 5.1 cc. of the sulphocyanate
solution are used, this quantity is deducted from the 10 cc.
N . .
of — silver nitrate solution added, which leaves 4.9 cc, the
10
quantity of the latter which reacted with the syrup.
Assay of Syrup of Ferrous lodid by the Sulphocyanate
Method. Take 10 gms. of the syrup, dilute it with distilled
water to measure 100 cc. Of this solution 15.58 cc. are
mixed with 15 cc. of water, 6 cc. of decinormai silver nitrate
and 2 cc. each of diluted nitric acid and ferric alum solution,
and then after thoroughly shaking the mixture is titrated
with decinormai sulphocyanate until a permanent reddish-
brown tint appears. Not more than i cc. of the latter should
be used. This i cc. deducted from the 6 cc. of decinormai
silver nitrate, leaves 5 cc, the quantity of the latter which
reacted with the ferrous iodid. Each cc. represents i per
cent. The equation is
Fel2 + 2AgN03 = 2AgI + Fe(N03)2.
2)311.66
io)2S^83_ j^
15.583 gms. = 1000 cc. — AgNOg V.S.
ANALYSIS BY PRECIPITATION 121
N
I cc. of — AgNOs V.S. thus represents 0.015583 gm.
of ferrous iodid.
In this (direct percentage) method, a quantity of the syrup
is taken which equals the weight of pure Fel2 represented
by 100 cc. of the decinormal silver nitrate solution.
Strontium Iodid (Srl2) and Zinc Iodid (Znl^) may be
assayed by the sulphocyanate method above described.
The sulphocyanate method may be used for the estima-
tion of chlorids, and bromids, as well as iodids.
When used for the estimation of chlorids, however, the
precipitated silver chlorid must be removed by filtration,
because of the action of ferric sulphocyanate upon silver
chlorid, which causes the results of the analysis to be too
high.
In the case of silver bromid no such reaction takes place,
or if it does, the reaction is so slow as not to interfere in the
least with the getting of accurate results. Therefore, when
this method is used for the determination of bromids or iodids,
there is no need for filtering to remove the precipitate.
Estimation of Cyanogen
Titration with Standard Silver Solution to First Appearance
of a Precipitate— Liebig's Method. This gives fairly accurate
results. The cyanogen must be in the form of an alkali salt
and in an alkaline solution. If hydrocyanic acid is to be
estimated, it must be made alkaline by the addition of potas-
sium or sodium hydroxid. The standard silver solution is
then added cautiously and with constant stirring imtil a per-
manent precipitate of silver cyanid is produced. When silver
nitrate is added to an alkaline solution of a cyanid, the
precipitate which at first forms redissolves on stirring and a
soluble double cyanid (AgCN,KCN or AgCN,NaCN, depending
122 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
upon the alkali used) is formed, and when all of the cyanid
has been taken up, the further addition of silver nitrate causes
a decomposition of this soluble double salt and the formation
of a permanent precipitate of silver cyanid. Therefore, the
first appearance of this precipitate affords a delicate proof of
the completion of the reaction.
These equations illustrate the reactions:
2NaCN+AgN03 =AgCN,NaCN+NaN03.
Double cyanid
of silver and sodium
AgCN,NaCN + AgNOg = 2 AgCN + NaNOs-
Silver cyanid
According to these equations it is seen that the end-
reaction is reached when two molecules of the alkali cyanid
have reacted with one molecule of silver nitrate. The slightest
excess of silver nitrate above this quantity brings about a
decomposition of the double salt and a precipitation of the
silver cyanid, as above stated^
This double combination is so firm that if the estimation
is done in the presence of a halogen, no permanent precipitate
of silver halid is formed until after all of the cyanogen present
has been converted into a double salt. This fact is taken
advantage of in the processes for hydrocyanic acid and alkali
cyanid in which potassium iodid is employed as indicator
in the presence of ammonia water. The latter prevents the
precipitation of silver cyanids and thus allows the silver iodid
to precipitate alone.
N
I cc. of — AgNOs V.S. =0.005202 gm. CN;
0.005302 gm. HCN;
0.0098 gm. NaCN;
0.0130 gm. KCN.
ANALYSIS BY PRECIPITATION 123
Assay of Hydrocyanic Acid (HCN = 26.01). Dilute hydro-
cyanic acid may be estimated by weighing out about 5 gms.
and adding it without delay (to avoid evaporation) to sufficient
sodium or potassium hydroxid solution to convert the acid
into sodium or potassium cyanid (NaCN or KCN) and leave
the solution strongly alkaline. The mixture is then largely
diluted with water (50 to 100 cc); this is to enable one more
clearly to observe the end-point.
The decinormal silver nitrate solution is then delivered
in until a permanent turbidity occurs.
The difficulty experienced in this process is in the con-
version of the acid into the cyanid. Sodium cyanid has a
strong alkaline reaction, turning litmus blue, when only a
small proportion of the acid has been neutralized. If the
titration is conducted before the acid is completely neutralized
that which is free will not be acted upon. Indeed, cyanid of
sodium may be estimated in the presence of hydrocyanic acid
in this way.
According to Senier, the following procedure will answer
well:
To the dilute hydrocyanic acid add sodium hydroxid to
strong alkaline reaction, determined by litmus tincture.*
N
Then titrate with — silver nitrate, drop by drop If the
liquid becomes acid, add a little more soda solution to bring
it back to alkalinity, and continue the titration until the tur-
bidity indicates the end of the reaction. The liquid must be
kept alkaline throughout the process. It is not well to add
too much alkali at the beginning as this will use up too much
* Poirrer Blue C^B is better, in that it is not affected by alkali cyanids,
but gives a very sharp indication in the presence of the slightest excess of
alkali hydroxid. The amount of alkali used should be as near as possible
that which is required to just convert the acid into the alkali cyanid; too much
or too little alike affect the accuracy of the result.
V2i THE ESSENTIALS OF VOLUMETRIC ANALYSIS
of the silver solution and make the reading a trifle too high.
The following equations, etc., explain the reactions:
2HCN + 2NaOH = aNaCN + 2H2O.
10)54.02 10)98.02
5.402 gms. 9.802 gms.
2NaCN + AgNOs = AgCN.NaCN + NaNOg.
10)98.02 10)169.89 „
9.802 gms. 16.989 gms. or looo cc. — V.S.
It is seen that 5.402 gms. of real HCN are equivalent to
9.802 gms. of sodium cyanid, and represent 16.989 gms. of
N
silver nitrate or 1000 cc. of the — V.S. That is, 1000 cc.
10
N
of the — AgNOs V.S. may be added to a solution containing
9.802 gms. of sodium cyanid and no precipitate will be pro-
duced, but if one or two drops more of the standard solution
be added, a precipitate is at once formed, the double salt
being broken up and silver cyanid produced."
AgCN,NaCN + AgNOs = 2 A^CN + NaNOs.
N
Each cc. of the — silver solution which fails to produce
10 . ^
a precipitate represents 0.009802 gm. of NaCN, which is
equivalent to 0.005402 gm. of HCN.
Titration with Standard Silver Solution, Using Chromate
Indicator — ^Vielhaber's Method. This method is especially
recommended for the assay of weak solutions containing
hydrocyanic acid, as bitter almond oil, bitter almond water,
cherry laurel water, etc., but it may also be employed for
alkaline cyanids.
A sufficient quantity of an aqueous suspension of mag-
nesium hydroxid * to make the solution opaque and distinctly
* Calcined magnesia triturated with water.
ANALYSIS BY PRECIPITATION 125
alkaline is added; this is followed by a few drops of potassium
N
chromate indicator and then the — silver nitrate delivered
lO
into the mixture from a burette until a permanent red tint
appears, as in the titration of haloid salts. The method is
a very satisfactory one if chlorids are absent.
The reactions in this method are the same as in the fore-
going, but the end-reaction (the production of silver chromate)
does not occur until the double cyanid is completely decom-
posed, at which point the addition of another drop of silver
solution reacts with the chromate and produces the red pre-
cipitate (silver chromate).
The equations are as follows: Sodium is used in the
equations instead of magnesium in order to make the explana-
tion clearer.
(a) 2NaCN-F AgNOg = AgCN,NaCN -HNaNOs = (2HCN) ;
(b) AgCN,NaCN + AgNOs = 2 AgCN + NaNO.,.
These equations show that it requires two molecules of
silver nitrate to completely precipitate two molecules of cyanid.
169.89 gms. of AgNOg is equivalent to 27.01 gms. of HCN,
while by Liebig's method 169.89 gms. of AgNOs is equivalent
to 54.02 gms. of HCN.
N
I cc. — AgNOs V.S. =0.002601 gm. CN;
0.002701 gm. HCN;
0.004901 gm. NaCN;
0.0065 1 1 gm. KCN.
Example. 1.35 gms. of the diluted acid is mixed with
enout^h water and magnesia to make an opaque mixture of
about 10 cc. Add to this 2 or 3 drops of potassium chromate
solution and then from a burette deliver the decinormal silver
126 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
nitrate V.S. until a red tint is produced which does not
disappear by shaking.
Titration with Standard Silver Solution, Using Potassium
lodid as Indicator. This method is recommended by W. J.
Sharwood, J. A. C. S., 1897, 400-434, and is a modification
of the method proposed by M. Georges Deniges, Ann. chim.
phys. (7) 6.381.
In this method 5 gms. of hydrocyanic acid are diluted
with distilled water to measure 50 cc. Then 25 cc. of this
solution, after the addition of 5 cc. of ammonia water and
3 drops of a 20 per cent potassium iodid solution, are titrated
with tenth-normal silver nitrate, until a slight permanent
precipitate occurs. The potassium iodid in this process acts
as indicator.
The reactions may be expressed thus:
(i) HCN + NH4OH-NH4CN + H2O;
(2) 2NH4CN+AgN03 = NH4Ag(CN)2-^NH4N03;
(3) NH4Ag(CN)2 + AgNOs = NH4NO3 + 2AgCN;
(4) KI + AgNOa = KNO3 + Agl.
The silver nitrate forms with the cyanid a double sale
which is soluble, no precipitate occurring until after all of
the cyanid has entered into combination as the double salt;
then the further addition of silver nitrate decomposes the
double salt, and a precipitate of silver cyanid occurs. In
the presence of ammonia water, however, as in the above
assay, the precipitation of silver cyanid is prevented, but the
iodid is now (not before) acted upon by the silver solution
and a precipitate of silver iodid occurs, which very delicately
indicates the end-reaction.
Each cc. of the standard silver nitrate solution used repre-
sents 0.005302 gm. of absolute HCN. If 26.51 cc. of the above
ANALYSIS BY PRECIPITATION 127
solution are taken instead of 25 cc, each cc. will represent at
once 0.2 per cent.
Potassium cyanid is assayed in the same way.
Estimation of Potassium Cyanid (KCN = 65.ii). i gm.
of potassium cyanid is dissolved in sufficient distilled water
to make 100 cc, then 65.11 cc. of this solution mixed with
5 cc. of ammonia water and 3 drops of potassium iodid
N
solution are titrated with — AgNOs V.S. until the appearance
of a permanent precipitate. Each cc. indicates 2 per cent.
N
I cc. of — AgNOs V.S. =0.0130 gm. KCN.
Estimation of Silver Salts
Soluble silver salts are estimated by direct titration with
standard sodium chlorid, the process being exactly the converse
of the precipitation methods for halogens. The standard
sodium chlorid solution is added to the solution of the silver
salt until precipitation ceases; or the titration may be done
in the presence of chromate indicator, the end-point being
then known, to be reached when the red color of the silver
chromate disappears. The first of these methods is imprac-
ticable. Too much time being consumed in waiting for the
precipitate to settle so as to render the supernatant liquid
sufficiently clear to recognize whether a precipitate is produced
in it by the fiu-ther addition of the standard solution.
If chromate indicator is used, the end-point is easily over-
stepped, because of the slow decomposition of the silver
chromate by the chlorid. It is best to add an excess of sodium
chlorid solution and then retitrate with standard silver nitrate
solution until the red color appears.
Silver salts may also be titrated by means of standard
sulphocyanate solution, using ferric alum as indicator.
128 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
N
Assay of a Solution of Silver Nitrate by Means of —
Sodium Chlorid. Ten gms. of the solution are introduced
into a beaker and diluted with lo cc. of distilled water. Two
drops of yellow potassium chromate solution are added as
N
indicator, and then a measured excess of — sodium chlorid
10
(sufficient of this must be added to completely destroy the
red color) added slowly from a burette and with constant
stirring. Assuming thajt 20 cc. were used, then the excess
N
may be ascertained by titrating back with — silver nitrate
V. S. until a permanent red tint is produced. Whatever number
N
of cc. of — silver nitrate are used, that number represents
N
the quantity of ^ sodium chlorid which was added in excess,
and must be deducted from the 20 cc. of the sodium chlorid
solution employed. Assuming this number to be 3 cc, then
N
3 from 20 leaves 17 cc, which is the exact quantity of —
NaCl V.S. which reacted with the silver in the solution examined.
N
The — factor for silver nitrate multiplied by 17 will then
give the exact weight of silver nitrate in the 10 gms. of solu-
tion taken. The following equation illustrates the reaction
which occurs:
AgNOs + NaCl = AgCl + NaNOg.
10)169.89 io )s8-46 j^
16.989 gms. 5.846 gms. = 1000 cc. — V.S.
0.016989 gm. of silver nitrate is thus represented by each
N
of — sodium chlorid.
10
In the assay of silver nitrate crystals, 0.2 gm. is taken,
ANALYSIS BY PRECIPITATION 129
dissolved in lo cc. of distilled water, and then treated as in
the foregoing assay. In the case of molded silver nitrate about
the same quantity is taken for assay. Of mitigated silver
nitrate, i gm. may be taken.
Silver oxid (Ag20) may be converted into nitrate by
solution in nitric acid and then tested as above. Free nitric
acid is apt to be present in this case and therefore the solu-
tion should be neutralized, before it is assayed, if the above-
described method is to be employed. The presence of free
acid does not interfere, however, if the method of Gay-Lussac
or the sulphocyanate method be employed.
N
Assay of Silver Nitrate by Means of — Sulphocyanate.
This method, as applied to the assay of halogen compounds,
is described in the preceding pages. The great advantage
which this method presents over the others, is that the presence
of most other metals does not interfere. The only metal
which does materially interfere with the determination of
silver is mercury.
Example. A weighed quantity (0.2 to 0.5 gm.) of the
silver salt is dissolved in water, some diluted nitric acid and
ammonium ferric sulphate solution are added, and the mixture
N
then titrated with — potassium sulphocyanate until a per-
manent reddish-brown color of ferric sulphocyanate is produced.
The following equation explains the reactions:
AgNOs + KSCN = AgSCN -t- KNO3.
10)169. 89 10 )97.18
16.989 gms. 9-7i8 gms. or 1000 cc. standard V.S.
Thus each cc. of the standard V.S. represents 0.016989
gm. of pure silver nitrate, or 0.010788 gm. of metallic silver.
Estimation of Metallic Silver and Silver Alloys. A quantity
of the metal; weighing about 0.5 gm., is dissolved in 10 cc. .
130 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
of nitric acid, and after complete solution is attained it is
heated sufficiently to drive off all traces of nitrous acid. The
solution is then diluted with about loo cc. of distilled water
and assayed by one of the methods described under the assay
of silver nitrate. The sulphocyanate method is the preferred
one.
Estimation of Alkali lodids by Precipitation with Mercuric
Chlorid Solution (Personne). Alkali iodids may also be
N
estimated by titration with — mercuric chlorid V.S., the
•' lO
termination of the operation being indicated by the formation
of a red precipitate.
(i) 4KI + HgCla = 2KCI + Hgl2 . 2KI (soluble)
(2) Hgl2.2KI+HgCl2 = 2KCl + 2Hgl2
This process originated with M. Personne, and is foiuided
on the fact that if a solution of mercuric chlorid be added
to one of potassium iodid, in the proportion of one equivalent
of mercuric chlorid to four of potassium iodid, red mercuric
iodid is formed, which dissolves at once to a colorless solution.
The slightest excess of mercuric chlorid will cause a brilliant
red precipitate (Hgl2) to make its appearance.
4KI + HgCla = 2KCI + Hgl2.2KI (soluble).
20)664.08 20 )270.92
33.204 gms. 13.546 gms. or 1000 cc. of standard solution.
Thus each cc. of standard solution of the above strength
represents 0.033204 gm. of potassium iodid, which means that
I cc. is the largest quantity of this standard solution which
can be added to 0.033204 gm. of potassium iodid without
producing a permanent precipitate.
N
The above solution of mercuric chlorid is strictly a — V.S.
10
The author of this process states that neither chlorids,
bromids, nor carbonates interfere with the reaction.
ANALYSIS BY PRECIPITATION
131
TABLE OF SUBSTANCES ESTIMATED BY PRECIPITATION
Name.
Formula.
Molecular
Weight.
Standard
Solution
Used.
Factor.*
Acid, hydrobromic .
" hydrochloric . .
" hydrocyanic . .
tt It
" hydriodic
Allyl-iso-thiocyanate
Ammonium bromid
chlorid .
" iodid . .
Calcium bromid . . .
" chlorid
Ferrous bromid . . . .
" iodid
Lithium bromid . . .
Potassium bromid . ,
" chlorid . .
" cyanid . .
HBr
HCl
HCN
HCN
HCN
HI
CSNC3H5
NH^Br
NH,C1
NHJ
CaBrj
CaClj
FeBr^
Felj
LiBr
KBr
KCl
KCN
KCN
KCN
80.92
36.46
27. CI
27.01
27.01
127.92
97.08
97.96
53-5°
144.96
199-93
III. 01
215 .66
309.66
86.86
119.06
74-56
65.11
65.11
65.11
N
-AgN03
N
— AgNO;i
N
- AsNO,
10 ^ '
without
indicator
N
- AgN03
with chromate
indicator
N
-AgN03
with iodid
indicator
N
- AgNOa
N
-AgN03
without
indicator
N
- AgN03
with chromate
indicator
N
-AgN03
with iodid
indicator
0.008092
0.003646
0.005402
0.002701
0.005402
0.012792
0.004854
0.009729
0.00535
0.014496
o . 009996
o-ooSSS
0.010783
0.015483
0.008686
0.011906
0.007456
o 013022
0.0065 1 1
0.013022
* This is the coefficient by which the number of cc. used of the decinormal solu-
tion is to be multiplied in order to obtain the quantity of pure substance in the
sample analyzed. It represents the weight of the substance precipitated by i cc.
of the decinormal solution.
132 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
TABLE OF SUBSTANCES ESTIMATED BY PRECIPITATION—
Continued
Name.
Formula.
Molecular
Weight.
Standard
Solution
Used.
Factor.*
Potassium iodic!
KI
KSCN
Ag2
AgN03
Ag^O
NaBr
NaCl
Nal
SrBrj
Sri,
ZnBrj
ZnClj
Znlj
166.02
97.18
2X107.88
169.89
231.76
102.92
58.46
149.92
247-47
341-47
225.21
136.29
319.21
N
- AgNO,
It
N
- NaC! or
10
N
— KSCN
10
([
N
- AgNO,
0.016602
'* sulphocyanate . .
0.009653
0.010788
0.016989
0.011588
0.010292
0.005846
0.014992
0.012373
0-017573
0. 01 I 260
" oxid
chlorid
Strontium bromid
** iodid
Zinc bromid
" chlorid
0.006814
0.015960
CHAPTER X
ANALYSIS BY OXIDATION AND REDUCTION
An extensive series of analyses are niade by these methods
with extremely accurate results; in fact, the results are generally
more accurate than those obtained by gravimetric methods.
The principle involved is exceedingly simple. An oxidizing
agent is employed for the estimation of an oxidizable sub-
stance, and likewise a reducing agent is employed for the
estimation of a reducible substance. Oxidizing agents are
always reducible and reducing agents always oxidizable. An
oxidation and a reduction take place at the same time, i.e.,
the oxidizing agent is itself reduced in the operation and the
reducing agent is at the same time oxidized.
Thus substances which are capable of absorbing oxygen
or are susceptible of an equivalent action may be accurately
estimated by subjecting them to the action of an oxidizing
agent of known power, and from the quantity of the latter
required for complete oxidation the weight of the oxidizable
substance is ascertained.
Example. Ferrous oxid (FeO), an oxidizable substance,
is ever ready to take up oxygen, while potassium permanganate
and potassium dichromate are always ready to give up some
of their oxygen. When potassium permanganate gives up
its oxygen in this way it is reduced and decolorized, while
the ferrous oxid in taking up oxygen is oxidized to ferric oxid
(Fe203). The decolorization of the permanganate here spoken
of is taken advantage of in volumetric analysis for the deter-
mination of the completion of the oxidation. The perman-
ganate in the form of a standard solution being slowly delivered
133
134 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
from a burette, until it is no longer decolorized, the iron salt
is known to be completely oxidized, when the permanganate
is no longer reduced. The reaction is as follows:
ioFeO + 2KMn04=sFe203 + 2MnO +K2O.
Ferrous oxid Ferric oxid
The oxidation of ferrous oxid by potassium dichromate
is sho^vn by the following equation :
6FeO + K2Cr207= sFeaOs + CrgOs + K2O.
As before stated, an oxidation is always accompanied by
a reduction, the oxidizing agent being itself reduced in the
operation. ^ As shown in the above equations, the manganic
compound is reduced to a manganous, and the chromic to
a chromous, while the ferrous salt is oxidized to a ferric
condition.
In the same way any substance which readily yields oxygen
in definite quantity or is susceptible of an equivalent action
which involves its reduction to a lower quantivalence, may
be estimated by ascertaining how much of a reducing agent
of known power is required for its complete reduction.
Example. The available chlorin in bleaching powder may
be accurately ascertained by treating it with a standard solu-
tion of arsenous oxid, and from the volume of the solution
required for the complete reduction of the chlorin, the quantity
of the latter present is found, or in other words, from the
quantity of arsenous oxid (AS2O3), oxidized to arsenic oxid
(AS2O5) the weight of the chlorin present is ascertained.
The principle substances which are used as oxidizing
agents in volumetric analysis, are potassium permanganate,
potassium dichromate and iodin. The latter contains no
oxygen, but it abstracts hydrogpn from accompanying water
and liberates the oxygen which does the oxidizing, hence iodin
is known as an indirect oxidizing agent. The other two
ANALYSIS BY OXIDATION AND REDUCTION 135
contain available oxygen which they readily give up when
brought in contact with an oxidizable substance.
The principal reducing agents or deoxidizers which are
used in volumetric analysis are, sodium thiosulphate, sul-
phurous acid, oxalic acid, arsenous oxid, stannous chlorid,
ferrous oxid, hydriodic acid, hydrosulphuric acid, metallic
zinc, and magnesium.
/N\
Preparation of Decinormal I — ) Potassium Permanganate
N
(2KMn04 = 3i6.o6; — V.S. = 3.1606 gms. in i liter). Abso-
lutely pure potassium permanganate cannot be obtained,
therefore the preparation of a decinormal solution of this
salt cannot be effected by simply dissolving the requisite
proportion of the molecular weight in the water. The presence
of oxidizable matter in the water used, the contact of dust
and exposure to light, have a tendency to decompose the
salt and hence weaken the standard solution. It is therefore
advisable to use boiling distilled water, and to preserve the solu-
tion in amber glass bottles, provided with ground-glass stoppers.
It will then retain its strength for several weeks, but should
nevertheless be checked by titration immediately before using.
It is not necessary, and it is usually undesirable, to make
the solution an exact decinormal one. It is preferable to
fix the titer of the solution and employ it as it is.
Place 3.5 gms. of pure crystallized potassium perman-
ganate in a flask, add 1000 cc. of distilled water, and boil
imtil the crystals are dissolved; put a plug of absorbent
cotton in the mouth of the flask and set it aside for two days
so that any suspended matter may deposit. After the lapse
of this time pour off the clear solution into a glass-stoppered
bottle, and when wanted for use standardize by either of the
following methods:
136 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Standardisation by Means of Iron. Thin annealed
binding- wire, free from rust, is one of the purest forms of iron.*
O.I gm. of such iron is placed in a flask which is provided
with a cork through which a piece of glass tubing passes,
to the top of which a piece of rubber tubing is attached,
which has a vertical slit about one inch long in its side, and
which is closed at its upper end by a piece of glass rod (this
arrangement is known as the " Bunsen Valve "). (See Fig.
41.) Diluted sulphuric acid is added and gentle heat applied.
The iron dissolves and the steam and liberated hydrogen escape
through the slit under slight pressure. The air is thus pre-
vented from entering and the ferrous solution protected from
oxidation.
A better form of apparatus in which to dissolve the iron
and avoid oxidation through admission
Jl of air is shown in Fig. 42. A loo-cc.
11 flask is fitted with a rubber stopper and
l| a I I shaped glass tube; into this
11 flask is placed 20 cc. of diluted sulphuric
•" 1 acid (i : 5) and then 2 or 3 crystals of
Fig. 41. Fig. 42.
pure sodium carbonate; this causes an evolution of carbon
dioxid which expels the air from flask. The o.i gm. of iron
* This contains 99.6 per cent of iron.
ANALYSIS BY OXIDATION AND REDUCTION 137
wire above described is now introduced, the stopper inserted,
and a beaker containing a solution of pure sodium carbonate
placed in position so that the tube will dip into the solution.
Gentle heat is applied \intil the iron is wholly dissolved, and
only a few minute particles of carbon remain (which must
not be mistaken for iron). When the fiame is withdrawn
the cooling of the flask and contents causes a drawing up
of the sodium carbonate solution, but the first drops that
enter the flask cause an effervescence with evolution of carbon
dioxid, which drives the liquid back and at the same time
fills the flask with the gas; this is repeated until the flask
and contents are cold. Another useful form of apparatus
for this purpose is shown in
Fig- 43-
When the iron is completely
dissolved a small quantity of
cold, recently boiled, distilled
water should be used to rinse
the lower end of the stopper
and the neck of the flask, and
the titration with potassium per-
manganate at once begun and
continued imtil a faint permanent
pink color is produced. If the
solution is decinormal, exactly
17.84 cc. will be required to pro-
duce this result.
The iron is converted by
the sulphiuic acid into ferrous
sulphate, Fe2 + 2H2SO4 = 2FeS04 + 2H2. This ferrous sulphate
is easily oxidised by the air, and therefore it is directed that
access of air should be prevented, and the distilled water with
Fig. 43-
138 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
which the solution is diluted previously boiled in order to drive
off any dissolved free oxygen.
loFeSOi + 2KMn04 + 8H2SO4
10 0)558.2 100 )316.06 ^
5.582 gms. 3.1606 gms. or looo cc. — V. S.
= 5Fe2 (SO4) 3 + K2SO4 + 2MnS04 + 8H3O.
N
This equation, etc., shows that each cc. of — perman-
ganate represents 0.005582 gm. of metallic iron.
Standardization by Means of Oxalic Acid. 0.12605 S'^-
of the pure crystallized acid is weighed (or 20 cc. of decinormal
oxalic acid carefully measured) and placed in a flask, with
3 cc. of sulphuric acid C. P. and distilled water to make 100
cc. The solution is warmed to 60° C. (140° F.) and the
permanganate solution delivered in from a burette.
The action is in this case less decisive and rapid than
in the titration with iron, and more care should be used.
The color disappears slowly at first, but afterwards more
rapidly.
Note the number of cc. of the permanganate solution
used, and then dilute the remainder so that equal volumes
of decinormal oxalic acid and decinormal permanganate solu-
tion will exactly correspond.
Example. Assuming that 18.5 cc. of the permanganate
solution are required to produce a permanent pink tint in
the above test, then the permanganate solution must be diluted
with distilled water in the proportion of 18.5 cc. of the per-
manganate solution and 1.5 cc. of v/ater, or 1850 cc. to 150 cc.
After dilution a new trial should be made, in which 50
cc. of the diluted permanganate solution should require exactly
N
i;o cc. of — oxalic acid V.S.
•^ 10
ANALYSIS BY OXIDATION AND REDUCTION 139
The reaction between potassium permanganate and oxalic
acid is illustrated by the following equation:
2KMn04 + 5(H2C204.2H20) +3H2SO4
= K2SO4 + 2MnS04 + 10CO2 + 18H2O.
Standardization by the lodometric Method, This
method, which was proposed by Volhard, is the most accurate
and rapid for the standardization permanganate. It is based
upon the fact that potassium permanganate reacts with potas-
sium iodid in solutions acidulated with either hydrochloric or
sulphuric acid, and liberates an equivalent quantity of iodin,
which may be estimated by standard solution of sodium
thiosulphate. The reactions are illustrated by the equations
(ff) 2KMn04+8H2S04 + ioKI
316.06
= 2MnS04 + 6K2S04+8H20 + 5l2;
1269.2
{b) I2 + 2 (Na2S203 . 5H2O) = 2NaI + Na2S406 + 10H2O.
253-84 49I5-44
Thus it is seen that 2KMn04 (316.06 gms.) containing
five atoms of available oxygen, has the power of liberating
its equivalent of iodin, i.e., 10 atoms or 1269.2 gms. (see
equation a) and that 496.44 gms. of sodium thiosulphate
will reduce 253.84 gms. of iodin (see equation b). Hence
N
1000 cc. of — sodium thiosulphate (contammg 25.384 gms.)
10
will reduce, and therefore be equivalent to 12.692 gms. of
iodin, which in turn represents 3.1606 gms. of potassium
N
permanganate. Therefore i cc. of the — thiosulphate repre-
sents 0.012692 gm. of iodin and 0.0031606 gm. of potassium
permanganate, which latter is the quantity of potassium per-
N
manganate present in i cc. of its — V.S.
140 THE ESSENTIALS OF VOLUiMETRIC ANALYSIS
The process is conducted as follows: Into a 200-cc. flask
place about 0.5 gm. of potassium iodid and 10 cc. of diluted
sulphuric acid, add to this (slowly from a burette) exactly
10 cc. of the permanganate solution to be standardized and
dilute the mixture (which is brown in color, because of the
liberated iodin) with distilled water to about 150 cc. Then
slowly titrate (with constant stirring) with an accurately stand-
N
ardized — sodium thiosulphate until the color of the solution
is a faint yellow, then add a few drops of starch solution and
continue the titration until the color is discharged. Note the
number of cc. consumed' and dilute the permanganate with
distilled water so that equal volumes of the two solutions
correspond to each other.
Example. If 13 cc. of the thiosulphate solution were
required, then each 10 cc. of the permanganate solution must be
diluted to 13 cc.
Standardization with Ferrous Annnoniiim Suljfhate
{Mohr's salt) (FeSOi- (NH4)2S04.6H20). 392.14 gms. of this
salt contains 55.82 gms. of iron (3.512 gms. contain 0.5 gm. of
iron). 3.512 gms. of the salt are accurately weighed out
and dissolved in sufficient recently boiled distilled water to
make 250 cc. Fifty cc. of this solution containing o.i gm. of
iron are transferred to a small flask, 10 cc. of diluted sul-
phuric acid added, and then the permanganate solution to
be standardized is run in slowly until a faint pinkish tint
appears. "WTiatever number of cc. is consumed that number
represents o.i gm. of iron, and must be diluted to 17.91 cc.
to make the solution exactly decinormal.
Volumetric Analyses by Means of Potassium Permanganate
When potassium permanganate solution is added to a solu-
tion of any readily oxidizable substance strongly acidulated
with sulphuric acid, it undergoes reduction, as shown in the
ANALYSIS BY OXIDATION AND REDUCTION 141
equation below. The molecule (2KMn04) has eight atoms
of oxygen which it gives up in the process of oxidation. These
eight atoms of oxygen unite with the replaceable hydrogen
of an accompanying acid, liberating an equivalent amount
of acidulous radical. Three of these atoms of oxygen liberate
suflScient acidulous residual to combine with the potassium
and manganese of the permanganate, while the other five
atoms are a^'ailable for direct oxidation.
2KMn04+3H2S04=K2S04 + 2MnS04f3H20 + sO,
or, for combination with the hydrogen of more acid, more
acidulous residual being set free, to combine with the salt
acted upon.
2KMn04 + 8H2S04 = K2S04 + 2MnS04 + 8H20 + 5(804).
5(804) when combined with ioFeS04 forms reio(S04)i5
or 5Fe2(S04)3, ferric sulphate. Thus it is seen that one
molecule of potassium permanganate (2KMn04) has the
power of converting 10 molecules of a ferrous salt to the
ferric state.
The equation in full is
loFeSOi + 2KMn04 +8H2SO4
= K28O4 + 2MnS04 + 8H2O + 5Fe2 fS04)3.
We have seen that 2KMn04 has 5 atoms of oxygen
available for oxidizing purposes, and that each of these will
combine with 2 atoms of hydrogen. 2KMn04 is consequently
chemically equivalent to 10 atoms of hydrogen, and a normal
solution of this salt when used as an oxidizing agent is one
that contains in one liter one-tenth of the weight of 2KMn04
expressed in grams, and a decinormal solution, one which
contains one-hundredth of this weight.
As before stated, when potassium permanganate is brought
142 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
in contact with a ferrous salt or other oxidizable substance,
it is decomposed and decolorized. Hence when titrating with
a standard solution of this salt it is decolorized so long as an
oxidizable substance is present. As soon, however, as the
oxidation is completed the standard solution retains its color
when added to the substance, and the first appearance of a
faint red color is the end-reaction, and the oxidation is laiown
to be completed.
In titrating with potassium permanganate it must be
remembered that excess of free acid (preferably sulphuric)
should always be present in the solution titrated, in order
to keep the resulting manganous and manganic oxids in solu-
tion; these, forming a dense brown precipitate, would make
it difficult if not quite impossible to recognize the pinkish
color of the end-reaction. Sulphuric acid alone, if in large
excess, has a reducing effect upon potassium permanganate.
Nitric and hydrochloric acids are prejudicial and should
be avoided; they are, however, frequently present in salts
which are to be analyzed, and in such event should be
removed by converting them into sulphate. By adding a
small excess of sulphuric acid and applying heat, until hydro-
chloric acid or nitrous vapors are no longer evolved, the
chlorid or the nitrate is converted into sulphate, and the
deleterious effect of their presence overcome. Hydrochloric
acid, unless present in very small quantities, and the titra-
tion conducted at a low temperature, will vitiate the analysis
through its action upon the permanganate whereby chlorin
is liberated,* thus
KMn04 + 8HCl = KCl-(-MnCl2-h4H20-H5Cl.
* This decomposition of the permanganate by hydrochloric acid is due
to the presence of ferric salt, which latter seems to act catalytically, for oxalic
acid may be accurately titrated with permanganate even in the presence of
hydrochloric ifcid, no chlorin being given off. Thus the decomposition of
the permanganate is not due to the hydrochloric acid alone.
ANALYSIS BY OXIDATION AND REDUCTION 143
A very convenient way of obviating the irregularities due
to the presence of hydrochloric acid is to add a few grams
of manganous sulphate * to the solution before titrating it.
Mercuric sulphate f and magnesium sulphate may also
be used with satisfactory results.
Potassium permanganate, being so readily decomposed by
contact with organic matter, should be protected from such
contact. It should never be filtered through paper (glass-
wool or gimcotton may be used), nor should it be used in
a Mohr's burette or in any other apparatus in which it is
in contact with rubber or cork. Furthermore, all substances
of an oxidizing or reducing nature, aside from that being
analyzed, must be excluded from the solution. Among such
substances may be mentioned hydriodic acid, sulphureted
hydrogen, nitrous acid and the lower oxids of nitrogen, phos-
phorous and hypophosphorous acids, thiosulphuric, sulphurous,
and all the other acids of sulphur except sulphuric, also ous
salts and the metallic suboxids and peroxids.
Burettes and other apparatus which have been used for
* Kessler and Zimmermann suggest using 20 cc. of a solution of man-
ganous sulphate (200 gms. per liter).
X Cady and Ruediger (J. A. C. S., XIX, 575) concluded from the following
general principles that it is possible to titrate iron with permanganate in the
presence of hydrochloric acid if an excess of mercuric sulphate be added to
the solution. Mercuric halids in solution ionize to an extremely slight extent,
while the mercuric salts of oxyacids are readily ionized, since compounds of
slight ionization always result when their constituent ions meet; mercuric
halids are always produced when a mercuric salt of an oxyacid is added to a
solution containing halogen ions. Therefore when mercuric sulphate solution
and hydrochloric acid are mixed, ionization of both occurs, and the mercuric
ions unite with the chlorin ions and produce mercuric chlorid which is only
very slightly ionized. In the presence of a large excess of mercuric sulphate,
the mercuric ions resulting from its dissociation diminish the ionization of
the mercuric chlorid until it is practically nil. Thus no chlorin ions will be
present in the solution to induce decomposition of the permanganate.
144 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
permanganate, should be emptied and rinsed immediately
after use, and any manganic oxid which may be adhering
to the glass should be removed by means of hydrochloric
acid and boiled water.
Not only oxidizable substances but reducible substances
may be estimated by means of potassium permanganate.
In the estimation of oxidizable substances the standard
potassium permanganate is added directly to the acidulated
solution of the substance being analyzed. The completion of
the oxidation being then known by the appearance of a faint
pinkish tint. This is the direct method.
In the estimation of reducible substances (i.e., oxidizing
substances) the indirect or the residual method is employed.
In this an accurately weighed or measured quantity of
the substance is brought together with an excess of a third
substance having reducing power, and which is similarly
effected by the permanganate and by the substance analyzed.
After completion of the reaction the excess of the reducing
substance is found by titration with standard permanganate.
T^he difference between the quantity so found and that originally
added gives the quantity which reacted with the salt under
analysis, and from this the calculation is made.
On the Use of Empirical Permanganate Solutions.
A. If the standardization of the solution is done by means
of iron, as described on page 136, o.i gm. of iron wire (repre-
senting 0.0996 gm. of pure iron) will require 17.84 cc. of the
permanganate solution if the latter is exactly decinormal.
If less than this quantity of solution is used (say r7.5 cc.)
it indicates that the solution is stronger than decinormal,
and may either be diluted so that each 17.5 cc. will measure
17.84, or it may be used as it is. This latter is in most cases
ANALYSIS BY OXIDATION AND REDUCTION 145
preferable. The value of i cc. of the solution in iron is
calculated thus:
17.5 cc. : I cc. : : 0.0996 gm. : x. 51; =0.00569 gm.
If a solution of this strength is to be used for the estima-
tion of iron, simple multiplication of the number of cc. used
by 0.00569 gm. gives the weight of Fe present. If, however,
this solution is employed for the titration of other oxidizablc
substances, the number of cc. consumed is multiplied by
0.00569 gm. and then by a fraction in which the numerator
represents a quantity of the substance examined, equivalent
in grams to an atom of iron in its reaction with permanganate,
and the denominator is the atomic weight of iron.
Example. If in a titration we use 40 cc. of a perman-
ganate solution, the titer of which has been found to be i cc.
= 0.00569 gm., the calculation would be:
in the case of ferrous sulphate (FevSOa, 151.89),
151.89
40X0.00569 gm.X =0.6192 gm.;
in the case of oxalic acid (H2C2O4. 21120=126.05),
63
40X0.00569 gm.X— -g^= 0.2 56 gm.;
in the case of hydrogen dioxid (H20o = 34),
17
40X0.00569 gm.X—— = 0.0693 gm.
B. Another way. The solution just mentioned, of which
17.50 cc. are consumed in titrating o.i gm. of iron wire, is
compared with a true decinormal permanganate solution, of
which 17.84 cc. are consumed in the same reaction. Tho
146 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Strength of the former sokition is therefore as compared
with a decinormal solution.
In titrating with this solution the number of cc. consumed
are to be multiplied by -^-;^ and then by the true decinormal
factor for the substance being analyzed.
Example. 40 cc. of the solution are consumed.
In the case of ferrous sulphate (FeS04= 151.89), the deci-
normal factor (i.e., the weight of ferrous sulphate represented
by I cc. of a true decinormal solution) is 0.015189 gm.
1984
40X — — X0.01S189 gm. =0.0192 gm.
In the case of oxalic acid (H2C2O4, 2H2O = 126.05) j ^^ deci-
normal factor is 0.0063 g™-
1784
40X X0.0063 gm. =0.256 gm.
In the case of hydrogen dioxid (H2O2 = 34) , the decinormal
factor is 0.001688 gm.
1784
40 X X0.0017 gm. =0.0693 gin-
C. If the standardization is done by means of oxalic acid,
as described on page 138, in which 10 cc. of a strictly deci-
normal oxalic acid solution are titrated with the permanganate
solution which is being standardized, exactly 10 cc. of the
latter will be consumed if it is of decinormal strength. If
in the trial, however, it is found that only 9.6 cc. are con-
sumed it indicates that the solution is stronger than decinormal;
100
its strength being expressed by —7-. If, on the other hand,
ANALYSIS BY OXIDATION AND REDUCTION 147
more than lo cc. of the solution are consumed (say 10.4 cc.)
100
the solution is below decinormal strength, namely,
In using a solution of the first strength the number of
100
cc. of it consumed in any titration is to be multiplied by —7-
and then by the decinormal factor for the substance examined.
In the case of the weaker solution the number of cc. con-
TOO
sumed is multiplied by and then by the decinormal factor
for the substance being analyzed.
Examples. Ferrous sidphate (FeS04= 151.89) is titrated
with the stronger solution, 40 cc. of the latter being consumed.
100
Then 40X— 7-X0.015189 gm.=o.628 gm.
Oxalic acid (H2C204.2H20= 126.05), 40 cc. are consumed.
100
Then 40X— — X0.0063 gm. =0.260 gm.
Hydrogen dioxid (H202 = 34), 40 cc. are consumed.
100
Then 40X— — X0.0017 gm. = 0.0703 gm.
D. If the checking of the permanganate solution is done
by the iodometric method (page 139) and it is found that
10 cc. of the permanganate requires the use of 13 cc. of
decinormal thiosulphate solution, the titer of the solution
13
is expressed with reference to decinormal as — . In using
a solution of this strength, the number of cc. of it consumed
13
in an analysis is multiplied by — and then by the decinormal
factor for the substance analyzed.
148 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
TYPICAL ANALYSES WITH PERMANGANATE
A. Direct Titrations
a. Estimation of Ferrous Sulphate (FeS04 + 71^20 = 278).
One gm. of ferrous sulphate is dissolved in 25 cc. of water
and the solution strongly acidulated with sulphuric acid. Deci-
normal potassium permanganate is then delivered from a
burette until a permanent pink tint is obtained, indicating
the complete oxidation of the ferrous salt.
The reaction is as follows:
(ioFeS04 + 7H2O)
100)2780
27.80 gms. =
+
2KMn04
100)316.06
3.1606
+ 8H2SO4
N
gm. = 1000 cc. ■^- V.S.
10
2.780 gms. =
N
100 cc. — V.S.
10
0.0278 gm. =
. cc. ^ V.S.
10
= 5Fe2(S04)3 + K2SO4 + 2MNSO4 + 78H2O.
Thus 316.06 gms. of permanganate = 2780 gms. of crys-
tallized ferrous sulphate, which equals 55.82 gms. of metallic
N
iron. One cc. of — permanganate solution therefore presents
0.0278 gm. of FeS04 + 7H20 or 0.005582 gm. of Fe.
N
In the analysis 35 cc. of the — permanganate were con-
sumed. The I gm. taken then contains 35X0.0278 = 0.973
gm. or 97.3 per cent.
If it is desired that each cc. of the permanganate solution
should represent a certain percentage of pure salt, a molecular
quantity of the salt should be taken for analysis instead of
I gm. For example, if 2.78 gms. be taken, each cc. of the
decinormal solution consumed will correspond to i per cent,
because 2.78 gms. is the weight of crystallized ferrous sul-
ANALYSIS BY OXIDATION AND REDUCTION U9
phate which can be oxidized by loo cc. of the decinormal
solution. If half of this weight be taken, i.e., 1.39 gms., each
cc. of the permanganate solution compound will represent
2 per cent of pure salt.
Granulated Ferrous Sulphate (FeS04 + 7H20) is estimated
in the same way as the foregoing, and should correspond
with it in strength.
Exsiccated {Dried) Ferrous Sulphate. This salt is tested
in the same manner as the other two sulphates. It contains
a larger percentage of ferrous sulphate than the other two,
having less water of crystallization. Its composition is approx-
imately FeS04+3H20.
loFeSOi + 2KMn04 + 8H2SO4
100)1518.9 100)^16.06
15.189 gms. 3.1606 gms. or looo cc. — standard solulion.
= 5Fe2(S04)3 + K2SO4 + 2MnS04 + 8H2O.
Each cc. of the standard solution represents 0.015189 gm.
of anhydrous (real) ferrous sulphate. If one gm. of the dried
N
salt, treated as above described, requires 48 cc. of — per-
manganate solution, it contains
0.01518948 = 0.72808 gm.,
or 72.80 per cent of real ferrous sulphate, and 100.00—72.80
= 27.20 per cent of water of crystallization.
Saccharated Ferrous Carbonate. Two gms. of saccharated
ferrous carbonate are dissolved in 20 cc. of 10 per cent sulphuric
acid, diluted with water to about 100 cc, and then titrated
N
with — potassium permanganate V.S. imtil a pink tint is
produced in the liquid. This method is not an exact one,
especially if heat is applied for solution of the powder, in
that permanganate is reduced by the sugar present.
150 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
b. Estimation of Metallic Iron in Ferrum Reductum. Fer-
rum reductum (reduced iron) always contains besides metallic
iron a varying quantity of oxid. Therefore, in assaying this
preparation a method must be employed which will estimate
the iron only, which is present as metallic iron. This may
be done by means of a solution of mercuric chlorid which
reacts with metallic iron only and not with the oxid.
The method is as follows :
0.55 gm. of reduced iron is introduced into a glass-stoppered
bottle, 50 cc. of mercuric chlorid solution (5 gms. in 100 cc.)
are added and the bottle heated on a water bath for one hour,
agitating frequently, but keeping the bottle well stoppered. .
2HgCl2 + Fea = 2FeCl2 + 2Hg,
then allow it to cool, dilute the contents with water to 100
cc, and filter. Take 10 cc. of the filtrate (representing 0.055
gm. of reduced iron) add to it 10 cc. of diluted sulphuric acid and
10 cc. of a solution of manganous sulphate (1:5), introduce
the mixture into a glass-stoppered bottle (having a capacity
of 100 cc), and titrate with decinormal permanganate imtil
a permanent pink color is obtained. Each cc. of the per-
manganate solution represents 0.005582 gm. of metallic iron.
loFe S04+2KMn04 + 8H2SO4
100)558.2 100 1316.06 --
5.582 gms. = 3.1606 gms. = iooo cc. — V.S.
N
0.005582 gm.-— 0.0031606 giTi. = i cc. — V.S.
= sFe2(S04)3 + K2SO4 + 2MnS04 + 8H2O.
N
If 9 cc. of the — permanganate are consumed, then
9X0.005582=0.0502 gm., and since the 10 cc. of the iron
ANALYSIS BY OXIDATION AND REDUCTION 151
solution taken for analysis represented 0.055 S'^-> th^ P'^''
cent of metallic iron present is 91.
0.055:100: : 0.0502: Jt. x = 9i.
The use of manganous sulphate in this process is to prevent
decomposition of permanganate by the hydrochloric acid.
The quantity is, however, so small, that if the titration be
conducted cold, its use is unneccesary.
Titration with an Empirical Permanganate Solution. A
solution of permanganate, which is found upon standardiza-
tion to be of a strength in which i cc. is equivalent to 0.00512
gm. of Fe, is to be used.
Each cc. of this solution is equivalent to the following
quantities:
FeS04 0.01393 gm-
FeS04 + 7H2O 0.02549 "
FeCOs 0.01062 "
FeCla 0.01162 "
Fe 0.00512 "
c. Estimation of Oxalic Acid and Oxalates with Potassium
Permanganate Solution (H2C2O4 + 21120 = 126.05; H2C2O4
= 90). The estimation of oxalic acid may be accurately
made either by neutralization with a standard alkali or by
oxidation with standard permanganate. The latter method
is, however, the one to be employed in the case of oxalates.
The oxidimetric estimation of oxalic acid is carried out
as follows:
One gm. of the acid (accurately weighed) is dissolved in
sufficient water to make 100 cc. Of this solution, 10 cc.
(representing o.i gm. of the acid) is taken for. analysis. Two
cc. of diluted sulphuric acid are added, the solution is heated
to between 40° C. and 60° C, and keeping it at about this
152 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
temperature, is titrated with decinormal potassium perman-
ganate, agitating constantly, until a faint rose tint marks
the completion of the reaction.
Each cc. of the permanganate solution consumed repre-
sents 0.0063 gm. of crystallized oxalic acid.
The reaction is as follows:
S(H2C204 + 2H20) +3H2S04 + 2KMn04
100)6,^0.25 100)316.06
N
6.30 gms. = 3.1606 gms. = iooo cc. — V.S.
10
= K2S04 + 2MnS04 + 8H20 + 502.
Direct Percentage Titration. 0.63 gm. of crystallized oxalic
N
acid is oxidized by 100 cc. of — permanganate. Therefore
N
if 0.63 gm. of the acid is taken for analysis, each cc. of —
permanganate will represent i per cent.
Titrating with an Empirical Solution. If the permanganate
is checked with iron, we take into consideration that 2KMn04
will oxidize 10 atoms of iron (558.2 parts), and on the other
hand 5 molecules of oxalic acid (630.25 parts). If the titer of
the permanganate be found on experiment to be i cc. =0.00569,
whatever number of cc. of this solution is consumed is to
63
be multiplied by 0.00569 and then by — ^.
Example. 0.3 gm. of oxalic acid require for oxidation
40 cc. of a permanganate solution whose titer is i cc. = 0.00569
gm. Fe, the calculation is made as follows :
63
40X0.00569 gm.X— -^^ = 0.256 gm.
0.256 gm. is the quantity of pure crystallized oxalic acid
ANALYSIS BY OXIDATION AND REDUCTION 153
present in the 0.3 gm. taken for analysis. This is 85.3 per-
cent.
0.21^6X100
— ^ = 85.3.
0.3 ^-^
If the standardization of the permanganate is done by
means of a decinormal oxaHc acid, or by the iodometric method,
the calculation is as described on pages 146-147.
Oxalates are estimated in the same manner; a much
larger quantity of sulphuric acid is, however, required. This
serves to liberate the oxalic acid from its combination.
The presence of precipitates of sulphates of calcium, barium,
or lead does not interfere with the recognition of the end-
point.
iLach cc. of — potassium permanganate represents
Oxalic acid anhydrous (H2C2O4) 0.0045 o™-
Oxalic acid crystallized (H2C2O4 + 2H2O) . . .0.0063 "
This method may be applied to calcium salts which are
soluble in water or in acetic acid, as well as to other metals
which are precipitable as oxalates. It is, however, especially
applicable to calcium, because of the readiness with which
this metal may be separated from others as oxalate. The
precipitation may be accomplished in either an ammoniacal
or a weak acetic acid solution. If it is necessary to dissolve
the calcium salt with the aid of hydrochloric acid, the solution
must be rendered strongly alkaline with ammonia, and the
precipitation effected with ammonium oxalate.
Calcium Carbonate may also be estimated by this method.
The precipitation is effected either in ammoniacal or weak
acetic acid solution.
Example (a). 0.2 gm. of calcium carbonate is placed in
a beaker. 20 cc. of water are added, and then sufficient strong
154 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
hydrochloric acid to effect solution. The beaker should be
covered with a watch-glass to prevent loss of contents during
effervescence and the liquid should be heated to boiling in
order to remove CO2. The liquid is then diluted with water
to 150 cc. and made alkaline by the addition of ammonia
water. Ammonium oxalate solution is then added, drop by
drop, until precipitation is complete, the mixture boiled for
about 3 minutes and set aside for several hours.
The precipitate is then washed with hot water containing
some ammonium oxalate, transferred to a filter and the washing
continued with cold water until free from soluble oxalate.
The washed precipitate, together with the filter, is then trans-
ferred to a beaker, some sulphuric acid added, the mixture
N
diluted to iKo cc. with distilled water and titrated with —
■^ 10
potassium permanganate V.S.
N
Each cc. of — permanganate V.S. represents
0.002004 gm. of Ca,
0.002804 gm. of CaO,
0.005004 gm. of CaCOs.
Example (b). 0.2 gm. of calcium carbonate is dissolved
in the smallest necessary quantity of dilute acetic acid, then
sufficient oxalic acid is added to completely precipitate the
calcium as oxalate (CaC204). This precipitate is then
thoroughly washed on the filter. A hole is then made in
the filter and the precipitate washed through the funnel into
a flask (about 100 cc. of water being used), a small quantity,
say about 2 cc, of dilute sulphvu-ic acid are added, the mixture
warmed to between 40° C. and 60° C. and titrated with
decinormal potassium permanganate until a permanent rose
tint appears.
ANALYSIS BY OXIDATION AND REDUCTION ITj")
Each cc. of the decinormal permanganate represents
0.0045 S^- of oxalic acid (anhydrous) or 0.005004 gm. of cal-
cium carbonate.
d. Estimation of Hydrogen Dioxid and Barium Dioxid with
Standard Potassium Permanganate. Hydrogen dioxid {Hydro-
gen peroxid) (Hi.02 = 34). Hydrogen dioxid and potassium
permanganate, though both oxidizing agents, will, when mixed
in an acid solution, reduce each other. The reaction which
occurs is probably primarily an oxidation of the H2O2 to a
higher oxid (H2O4 (?)) which, however, immediately breaks
up with the liberation of oxygen. The method of assaying
hydrogen dioxid by means of permanganate is applicable not
only to this substance but also to the estimation of barium
dioxid and the soluble alkali peroxids. The method is usually
carried out by adding the permanganate solution to the dioxid
in a solution acidulated with sulphuric acid. Immediate
decolorization of the permanganate occurs, as long as any
hydrogen dioxid is present. When the latter has been entirely
taken up the permanganate is no longer decolorized and a
faint pink tint marks the end-point. In the estimation of
the pharmacopoeial or commercial dioxid solutions, containing
2 or 3 per cent of H2O2, a measured quantity is taken for
analysis. The specific gravity of the solution, being nearly
that of water, i cc. is taken to represent i gm. In the case
of solutions of hydrogen dioxid of high percentage strength,
it is advisable to take a weighed quantity for analysis. If
hydrochloric acid is present a small quantity of manganese
sulphate should be introduced before titrating.
The assay is conducted as follows :
Ten cc. of the solution are accurately measured and diluted
(in a graduated cylinder) with water to make 100 cc. Ten cc. of
this diluted liquid (containing i cc. of hydrogen dioxid solu-
tion) are transferred to a beaker, 5 cc. of diluted sulphuric
156 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
N
acid (i-8) are added and then the — permanganate solution
run in from a burette, stirring after each addition until a
permanent faint pink tint appears. The reaction is as follows:
5H2O2 + 2KMn04 + 3H2SO4
100)170 100)316.06
1.7 gms. 3.1606 gms. = iooo cc. — permanganate V.S.
0.0017 gm. = I cc. — permanganate VS.
= K2SO4 + 2MnS04 + 8H2O + SO2.
N
Thus each cc. of — permanganate represents 0.0017 S^^-
of absolute hydrogen dioxid. Assuming that in the above
estimation 19 cc. of the permanganate solution were required,
then the i cc. taken for analysis contained 0.0017 g™-^i9)
which is 0.0323 of absolute H2O2. This corresponds to 3.23
per cent.
The Direct Percentage Method. Ten cc. of the solution are
diluted with water to measure 100 cc. Seventeen cc. of this
diluted solution (containing 1.7 cc. of hydrogen dioxid) are
acidulated with sulphuric acid and titrated with decinormal per-
manganate, as above described. Each cc. of the permanganate
solution consumed will represent o.i per cent by weight of H2O2.
Titration with an Empirical Solution. A permanganate
solution is on hand which is found upon standardization with
iron to be i cc. =0.00569 gm. Fe. To use this solution as
it is, we take into consideration that 2KMn04= (316.06) = 10
atoms of Fe (558.2) and also 5 molecules of H2O2 (170).
31.606 gms. KMn04, = 55.82 gms. Fe, = 17 gms. H2O2. What-
ever number of cc. of this permanganate solution is used,
17
multiplied by 0.00569 gm. and then by — —, will give the
55-°2
weight of H2O2 present in the sample analyzed.
ANALYSIS BY OXIDATION AND REDUCTION 157
Estimation of Volume Strength. Let us look at the above
equation in a different light.
We see that when potassium permanganate and hydro-
gen dioxid react, lo atoms of oxygen are liberated.
The permanganate itself when decomposed liberates five
atoms of oxygen. Therefore of the above ten atoms only
five come from the hydrogen dioxid.
5H202 = sH20 + 50;
2KMn04-l-3H2S04 = K2S04 + 2MnS04 + 3H20 + 50.
In order to find the factor for volume of available oxygen,
see the following equation, etc. :
SH2O2 + 2KMn04+3H2S04=K2S04 + 2MnS04 + 8H2O + sO +5O.
100)316.06 ^ 100)80
3.1606 gms. or 1000 cc. — V.S.= 0.80 gm.
N
I cc. — V.S.= 0.0008 gm.
10 "
Thus it seen that each cc. of — potassium permanganate
V.S. represents 0.0008 gm. of oxygen. But we require to
find the volume of oxygen, not the weight represented by
I cc. of — permanganate.
1000 cc. of oxygen at 0° C. and 760 mm. pressure, weigh
1.43 gms. Therefore, if 1.43 gms. measure 1000 cc, 0.0008
gm. will measure 0.57 cc.
The factor, then, for volume of oxygen liberated when
N
hydrogen dioxid is titrated with — potassium permanganate,
N
is 0.57, and the number of cc. of the — potassium permanganate
consumed in the titration gives the volume of oxygen liberated
by the quantity of hydrogen dioxid taken.
158 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
N
Thus if 19 cc. of the — V.S. were required,
0.57X19=10.83 cc. of oxygen.
It is convenient to operate upon i cc. hydrogen dioxid
solution. Then each cc. of potassium permanganate V.S. used
will represent 0.57 cc. of available oxygen and is necessary
only to multiply the number of cc. by this factor to find the
volume of available oxygen.
If any other quantity ' than i cc. of dioxid be taken for
analysis, it will be necessary after multiplying by 0.57 to
divide the result by the quantity of dioxid solution taken, in
order to find volume strength.
Hydrogen dioxid solution may also be volumetrically
assayed by Kingzett's method, which is described under
lodometry.
The gasometric estimation is also described further on.
Barixun Dioxid {Barium Peroxid) (Ba02 = 169.37). This
substance is assayed by treating it with an acid, and then
estimating the liberated hydrogen dioxid, as follows:
Weigh off 2 gms. of the coarse powder, put it in a porcelain
capsule, add about 10 cc. of ice-cold water, then 7.5 cc. of
phosphoric acid (85 per cent), and sufficient ice-cold water
to make 25 cc. Stir and break up the particles with the end
of the stirrer xmtil a clear or nearly clear solution is obtained
and all that is soluble is dissolved.
Five cc. of this solution (which corresponds to 0.4 gm.
of barium dioxid) is measured off for assay.
Drop into this from a burette, with constant stirring,
decinormal potassium permanganate until a final drop gives
the solution a permanent pink tint.
About 40 cc. of the decinormal permanganate should l?e
required to produce this result.
ANALYSIS BY OXIDATION AND REDUCTION 159
In this process, the first step is the formation of hydrogen
dioxid by treating the barium dioxid with phosphoric acid,
as illustrated by the following equation :
BaO^i + H3PO4 = BaHPOi + H2O2.
169-37 34
The hydrogen dioxid is then estimated with decinormal
permanganate, as described above.
S(Ba02) = 5H2O2 + 2KMn04 + 3H2SO4
100)845.85 100)170 100)316.06
8.4585 gms.= 1.7 gms. 3.1606=1000 cc. — permanganate.
= K2SO4 + 2MnS04 + 8H2O + 5O2.
e. Estimation of Ferric Salts by Means of Potassium Per-
manganate (after reduction). It is frequently necessary to
estimate ferric salts by means of permanganate solution; this
is particularly the case in compounds where ferric and ferrous
salts are both present.
The ferric salts must of course be reduced to the ferrous
state in order to estimate them with permanganate, or in
fact with any oxidizing agent. There are many ways of
affecting this reduction, but the best way (where permanganate
is to be used) is no doubt by the use of metallic zinc or mag-
nesium in sulphuric acid solutions. Hydrochloric acid may
be used instead of sulphuric, but in that case the solution
must be very dilute and of low temperature, in order to avoid
the liberation of chlorin, which would spoil the analysis.
In concentrated or hot solutions hydrochloric acid acts
upon permanganate as a reducing agent, as shown in the
equation
KMn04+8HCl = KCl+MnCl2+4H20 + 5Cl.
The irregularities due to the liberation of chlorin may
be obviated by the addition of an excess of mercuric sulphate
160 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
before titration, as suggested by Cady and Ruediger, or by
the use of magnesium or manganous sulphate, as suggetsed by
Kessler and Zimmermann (see page 143).
The reduction is effected by adding to the warm diluted
solution of the ferric salt acidulated with sulphuric acid small
pieces of pure metallic zinc or coarsely powdered magnesium,
and setting aside in a covered vessel imtil the solution is
colorless, or until it fails to produce a red color when a drop
of it is brought in contact with a drop of sulphocyanate.
The zinc used must be free from iron, or if the latter metal
is present its quantity must be known. All of the zinc or
magnesium must be dissolved before the titration is begun,
otherwise the reduction would continue while the titration
is being done. When the ferric salt is completely reduced
the titration should be carried out without delay in order
to avoid reoxidation through exposure to the air. Reoxida-
tion takes place more readily in the presence of hydrochloric
acid than of sulphuric acid. According to D. J. Carnegie,
reduction takes place much more rapidly in neutral than
in acid solutions. He suggests neutralization of the solu-
tion with ammonia, and after reduction the addition of sul-
phuric acid to keep the iron in solution. Other methods
for the reduction of ferric salts are described further on.
The solution of the ferric salt to be estimated should not
contain more than 0.15 gm. of metallic iron in 250 cc. To
this quantity of solution about 10 gms. of metallic zinc and
25 cc. of sulphuric acid are taken. The solution is kept at a
temperature between 60° and 80° C. imtil the zinc is entirely
dissolved, then the mixture is boiled in a flask provided with
a valve stopper, as shown in Fig. 41 (in order to exclude air
and prevent reoxidation). It is then rapidly cooled, and
titrated with permanganate without delay.
Example. Estimation of Ferric Chlorid. 0.35 gm. of the
ANALYSIS BY OXIDATION AND REDUCTION 161
dried salt are dissolved in 250 cc. of water in a flask, 25 cc.
of sulphuric acid are added, and then 10 gms. of metallic
zinc are introduced. The flask is then gently warmed until
the zinc is entirely dissolved and the solution is colorless and
fails to give a red color when a small portion of it, removed
with a glass rod, is brought in contact with a drop of potas-
sium sulphocyanate. The solution is then brought to a boil,
and after this rapidly cooled, avoiding entrance of air, and
N
when cool titrated with — potassium permanganate, until a
faint permanent pink color appears.
19.5 cc. of the permanganate were required. Each cc. of
N „ , „. .
— permanganate represents 0.005582 gm. of metallic iron,
which is equivalent to 0.01622 gm. of anhydrous ferric chlorid.
Then if 19.5 cc. of the permanganate were employed, the
quantity of real ferric chlorid present in the sample is 0.01622
gm. X19.5, while the quantity of metallic iron present is
0.005582 gm.Xi9.5.
The reactions are represented by the following equations:
FeaCle + Zn = 2FeCl2 + ZnCb
loFeCla + 2KMn04 + 16HCI
= 5Fe2Cl6 + 2KCI + 2MnCl2 + 8H2O.
Because of the frequent and almost invariable presence in
zinc of carbon and iron, which have a reducing action upon
permanganate, it is necessary to carry out a blank experiment,
to determine the quantity of permanganate solution used up
by these impurities in the zinc. This blank experiment must
be conducted under the same conditions as the assay, and
differs only in that the iron is left out.
Example. Ten gms. of zinc from the same lot as used for
the assay is treated with 250 cc. of water and 25 cc. of sul-
162 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
phuric acid, and when it is completely dissolved, the potassium
permanganate solution is added, until a permanent pale pink
tint results. The number of cc. consumed is deducted from
the quantity employed in the assay; the difference is the
quantity of the permanganate solution which was consumed
by the ferrous chlorid. Another methjd for the reduction of
ferric salts, previous to titration with permanganate, is that
of N. Matolcsy. In this the ferric salt is precipitated with
ammonium sulphid and the precipitated ferrous sulphid dis-
solved in sulphuric acid, which converts it into ferrous sul-
phate. This is then titrated with permanganate after the H2S
has been driven off.
/. Estimation of Nitrous Acid and Nitrites. Nitrous acid,
when brought in contact with a potassium permanganate solu-
tion acidulated with sulphuric acid, is oxidized to nitric acid.
Two molecules of KMn04 reacting with 5 molecules of HNO2,
as the equation shows,
5HNO2 + 2KMn04 + 3H2SO4
--= 5HNO3 -l-K2S04-l-2MnS04-h3H20.
In the case of nitrites, as for example sodium nitrite, the
oxidation takes place in the same manner, and the process
may be applied with equally good results to the salts, as well
as to free HNO2. At ordinary temperatures the oxidation
proceeds very slowly, but at a temperature of 40° C. (104° F.)
rapid reaction occurs. But because of the volatility of nitrous
acid in acidulated solutions of its salts it is. impossible to
accurately estimate them by direct titration with permanganate
at a raised temperature.
It is customary to add the nitrite solution to a measured
volume of warm acidulated standard permanganate solution.
The nitrite is then oxidized immediately as it comes in con-
tact with the permanganate, and each drop added makes the
ANALYSIS BY OXIDATION AND REDUCTION 103
permanganate lighter in color, and when complete decolor-
ization of the permanganate is attained, the reaction is at
an end.
The process in detail is as follows:
loo cc. of — potassium permanganate are measured mto
a flask, 5 cc. of diluted sulphuric acid (1:5) are added, and
the solution warmed to 40° C. (104° F.). A solution of the
nitrite (say sodium nitrite) is now prepared by dissolving i
gm. of the salt in sufficient water to make 100 cc. This solu-
tion is placed in a burette and delivered slowly into the acidu-
lated permanganate solution, with constant shaking, and reduc-
ing the flow to drops towards the end of the titration, until
the permanganate is completely decolorized. We will assume
that 38 cc. of the NaN02 solution were used.
SNaNOa -h 2KMn04 + 3HaS04
100 )345 -OS 100 )316.06 j^
3.4505 gms. 3.1606 gms. = iooo cc. — permanganate.
= sNaNO., -I- K2SO4 + 2MnS04 + 3H2O.
N
Thus 100 cc. of — permanganate represent 0.34505 gm.
of pure NaN02. Therefore if 38 cc. of the sodium nitrite
N
solution decolorized 100 cc. of — permanganate, the 38 cc.
must contain 0.34505 gm. of NaN02. If 38 cc. contains
0.34505 gm., 100 cc. contains 0.902 gm.
38 : 0.34505 : : 100 : x. :x;=o.9o8 gm.,
and since i gm. of salt was dissolved in 100 cc. of solution
the percentage of pure NaN02 is 90.8 per cent.
Nitrites may also be estimated by adding an excess of
acidulated permanganate solution, warming the mixture, and
retitrating with standard oxalic acid.
161 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
To 30 cc. of — potassium permanganate add water to
make about 150 cc. of solution, then add 5 cc. of sulphuric
acid and 10 cc. of a solution (i gm. in 100 cc.) of the sodium
nitrite to be assayed, warm the mixture to 40° C. (104° F.)
N
and allow to stand for five minutes, then titrate with — oxalic
10
acid solution until complete decolorization is effected. Not
more than 3.75 cc. of the latter should be required.
N
The volume of — oxalic acid solution, deducted from the
10
30 cc. of — potassium permanganate solution used, gives the
quantity of the latter which reacted with the one gram of
sodium nitrite, each cc. of — permanganate represents 0.0034505
gm. of NaN02.
B. Residual Titrations.
a Methods in which an Excess of Standaed Permanganate is Added,
AND THE Excess Determined by Residual Titration with Stand-
ard Oxalic Acid.
Estimation of Hypophosphorous Acid and Hypophos-
phites. An accurately weighed quantity of the acid or its
salt is dissolved in water, the solution is strongly acidulated
N
with sulphuric acid, and then a measured excess of — potas-
sium permanganate solution added. The mixture is boiled
for fifteen minutes to hasten and facilitate the oxidation, and
then the excess of the permanganate solution estimated by
N . ".
residual titration with — oxalic acid solution.
ID
Hypophosphorous Acid (HPH202 = 66.04). Three gms. of
the acid accurately weighed are diluted with water to make 60
cc. Of this solution, 6 cc. (containing 0.3 gm. of the acid)
are carefully removed with a pipette, and introduced into a
ANALYSIS BY OXIDATION AND REDUCTION 165
flask. Three cc. of sulphuric acid are added and then 50 cc. of
N
— potassium permanganate soKition, and the mixture boiled
for fifteen minutes.
The potassium permanganate, in the presence of sulphuric
acid, oxidizes the hypophosphorous acid to phosphoric, as
the equation shows:
5HPH2O2 + 6H2SO4 + 2(2KMn04)
2 )33°-^ 2)632^
100)165.1 100 )316.06
1. 651 gms. 3.1606 gms. or 1000 cc. — V.S.
= 5H3PO4 + 6H2O + 2K2SO4 + 4MnS04.
Each cc. of the decinormal V.S. represents 0.001651 gm.
of absolute hypophosphorous acid. The quantity of per-
manganate solution directed to be added is slightly in excess.
The excess is then ascertained by retitration with decinormal
oxalic acid. Each cc. of oxalic acid required corresponds to i
cc. of decinormal permanganate which has been added in
excess of the quantity actually required for the oxidation.
The excess of permanganate colors the solution red, and
the oxalic acid V.S. is then added until the red color just
disappears, which indicates that the excess of permanganate
is decomposed.
If 4.7 cc. of decinormal oxalic acid are required, it indicates
that 50 cc — 4.7 cc. = 45.3 cc. of decinormal permanganate
were actually used up in oxidizing the hypophosphorous acid;
therefore
0.001651 gm.X45.3=o.o747-|- gm.
of absolute hyposphorous acid, HPH2O2, or
0.0747 X 100
— —^ = 24.7 per cent.
166 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
In the above process, boiling facilitates the oxidation, but
if the acid is boiled before sufficient permanganate has been
added to completely oxidize it, decomposition will take place.
Hence direct titration with the permanganate is impossible,
and the residual method must be resorted to.
Calcium Hypophosphite (Ca(PH202)2 = 170.17). o.i gm.
of the salt is dissolved in 10 cc. of water, then 10 cc. of sul-
phuric acid and 50 cc. of decinormal potassium permanganate
are added, and the mixture boiled for fifteen minutes.
The excess of permanganate is then found by titrating
with decinormal oxalic acid solution.
The reactions which take place are expressed by the fol-
lowing equations:
(i) sCa(PH202)2 + SH2S04= 5CaS04 + 10HPH2O2;
(2) ioHPH202-l-i2H2S04-F4(2KMn04)
= ioH3P04 + i2H20-f-4K2S04+8MnvS04.
These two reactions may be written together thus :
5Ca(PH202)2 + 17H2SO4 +4(2KMn04)
= SCaS04 + 4K2S04-l-8MnS04-fioH3P04-t-i2H20.
6. Methods Involving a Precipitation by Oxalic Acid and the Titra-
tion OE THE Excess of the Latter with Standard Permanganate.
Estimation of Soluble Calcium Salts. To a weighed quan-
tity of the calcium salt dissolved in water, a measured excess
of normal oxalic acid is added. The mixture is then made
alkaline with ammonia and boiled, to facilitate the separa-
tion of the precipitate. It is then cooled and diluted with
water to an accm-ately measured volume, and after filtra-
tion an aliquot portion removed, acidulated with sulphuric
N
acid, and carefully titrated with — potassium permanganate.
Example. 0.4 gm. of calcium chlorid is dissolved in water,
ANALYSIS BY OXIDATION AND REDUCTION 167
lo cc. of normal oxalic acid added, the mixture made alkaline
with ammonia water, and boiled for a few minutes. It is
then filtered, the residue and filter washed with water, and
after cooling the combined filtrate and washings are diluted
to make loo cc.
Of this solution 50 cc are taken for analysis (representing
0.2 gm. of the salt), acidulated with sulphuric acid, and then
, ., N .
titrated with — potassium permanganate to a faint rose tint.
The 50 cc. of solution represent 5 cc. of normal oxalic
acid, which is equivalent to 50 cc. of decinormal oxalic add,
so that whatever number of cc. of decinormal permanganate
solution is required in the titration, that quantity is to be
deducted from 50 cc. and the difference multiplied by the
N
— factor for calcium chlorid to find the quantity of pure
CaCl2 present in 0.2 gm.
N
If 14 cc. of — permanganate are employed, then 14 from
50 cc. leaves 36 cc, the quantity of decinormal oxalic acid
solution which combined with the 0.2 gm. of calcium chlorid.
Then
0-00555 gm.X36 = o.i998 gm.,
the quantity of pure CaCb present in the 0.2 gm., or 99.9
per cent.
Estimation of Lead in the Acetate and Subacetate. Take
for assay 0.2 gm. of the salt or 2 gms. of the solution in a
beaker and add 20 cc. of recently boiled distilled water.
Pour this slowly and with constant shaking into a graduated
N
cylinder containing 50 cc. of — oxalic acid V.S. Wash the
beaker with small portions of distilled water and add the
washings to the contents of the cylinder. Then dilute the
mixture to 100 cc. and set aside to allow the precipitate to
168 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
settle. Remove 20 cc. of the clear liquid (representing 0.04
gm. of the salt or 0.4 gm. of the solution) for titration. Add
N
5 cc. of (1:10) sulphuric acid, and titrate with — perman-
ganate until a final drop imparts a permanent pale pink tint.
The reactions are represented by the following equations :
Pb(C2Hs02)2 + H2C2O4.2H2O
Lead acetate .
325.1 126.05
= PbC.Oi + 2HC2H3O2 + 2H2O.
Pb20(C2H302)2 + 2H2C2O4.2H2O
Lead subacetate
548.2 2X126.05
= 2PbC204 + 2HC2H3O2 + 5H2O.
N
Each cc. of — oxalic acid represents 0.01625 gm. of
Pb(C2H302)2 or 0.013705 gm. of Pb20(C2H302)2.
Calcium salts to be estimated by this method must be
tolerably pure, and free at least from impurities which would
react with oxalic acid or which would reduce permanganate.
Many of the less soluble calcium salts may be estimated
by this method, but they must be subjected to longer treat-
ment with the oxalic acid.
Gold and lead salts may also be estimated by the same
method.
c. Methods Involving a Reduction by Means of Oxalic Acid, and
Retiteation of the Excess of the Latter with Potassium Pek-
manganate.
Estimation of Manganese Dioxid (Mn02). The estima-
tion of manganese dioxid depends upon the fact that when
it is boiled with oxalic acid in the presence of sulphuric acid
definite reaction takes place, as the equation shows:
Mn02+H2C204+H2S04 = MnS04-h2C02 + 2H20.
ANALYSIS BY OXIDATION AND REDUCTION 169
In the estimation a measured excess of oxalic acid solu-
tion is added, together with some sulphuric acid, and the
mixture heated until solution is complete.
The excess of oxaHc acid is then found by retitration with
standard permanganate solution. It is well to use a normal
oxalic acid solution and a decinormal permanganate solution.
0.5 gm. of the dioxid is a convenient quantity to operate
upon. Each cc. of decinormal solution represents 0.004346
gm. of Mn02.
Example. 0.5 gm. of Mn02 is treated with sulphuric
acid and 10 cc. of normal oxalic acid solution, which is equiv-
alent to 100 cc. of decinormal oxalic acid solution, the mix-
ture treated as described above, and upon retitrating 25 cc.
or decinormal permanganate are required. Thus
IOC cc — 25 cc. = 75 cc.
N
of — oxalic acid went into reaction with the Mn02. Then
10
75X0.004346 = 0.3259 gm.
d. Methods Involving a Reduction by Means of a Standardized
Solution of a Ferrous Salt, and Titration of the Remaining
Unoxidized Ferrous Salt, by Permanganate.
Estimation of Nitrates (Pelouze). This method consists
in adding a weighed quantity of the nitrate to an acidulated
solution of a ferrous salt of known strength, and, when reaction
is complete, estimating the ferrous salt remaining, by titra-
tion with permanganate, or in certain cases by means of
dichromate V.S. The principle upon which the method is
based is, that when nitric acid or a nitrate is brought in con-
tact with a highly acidulated solution of a ferrous salt, the
former gives off oxygen, which, passing over to the ferrous
170 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
salt, oxidizes it to the ferric state, while at the same time NO
is evolved. The reaction is
2HNO3 + 6HC1 + 6FeCl2 = 3F2CI6 + 4H2O + 2NO.
Nitric acid Ferrous chlorid
126.02 760.44
Iron
334.92
Thus one molecular weight of nitric acid (63.01) will
oxidize three molecular weights of ferrous salt, or three atoms
of iron (167.46).
Either hydrochloric or sulphuric acid may be employed.
The former is preferred by most operators, and it is generally
agreed that in order to attain results of sufficient precision
the estimation should be done in the presence of hydrochloric
acid only. In using hydrochloric acid, however, where the
titrations are to be made with permanganate, certain precau-
tions (previously mentioned) must be observed, because of
the evolution of chlorin which will otherwise take place and
spoil the analysis. This may be obviated by adding to the
solution to be titrated an excess of manganese sulphate.
The NO which is produced during the reaction must be
removed by boiling before titration with permanganate is
begun. Air must be absolutely excluded during the entire
process to prevent oxidation of ferrous salt by the atmospheric
oxygen, as well as to prevent oxidation of NO to HNO3,
which will oxidize more ferrous salt. The exclusion of air
may be partially affected by the use on the flask of a Bimsen
valve stopper (see Fig. 41), but the best method is to employ
an apparatus so arranged that a constant stream of CO2 or
H gas may be passed through it (see Fig. 44).
This method, although theoretically perfect, is in practice
liable to great irregularities, and will give fairly good results
only if the directions, especially those as to exclusion of air.
ANALYSIS BY OXIDATION AND REDUCTION 171
are faithfully carried out. The method of Kjeldahl is to be
preferred.
To conduct the process, weigh accurately 1.5 gms. of flower
wire* free from rust (the iron content of which is known),
place it an Erlenmeyer flask which is provided with a double
perforated stopper fitted with two glass tubes, one of which
should reach just to the surface of the liquid in the flask when
in place, and the other, which is the outlet tube, should reach
Fig. 44.
no lower than the bottom of the stopper. The first of these
tubes is connected with an apparatus generating carbon dioxid
or hydrogen, while the outlet tube serves to convey the gas
into the air or into another flask containing water or an alka-
line solution. 30 to 40 cc. of pure fuming hydrochloric acid
are added to the iron wire in the flask, gentle heat is applied,
and a stream of either CO2 or H passed through the flask and
maintained throughout the entire process. When the iron is
completely dissolved, the stopper is raised just long enough
to introduce a small glass tube open at one end and con-
taining the nitrate to be estimated. The quantity or nitrate
taken must be equivalent to not more than 0.2 gm. of HNO3.
The stopper is then reinserted, heat applied, and gradually
increased until the reaction is complete. The free hydro-
chloric acid liberates nitric acid from the nitrate and oxidation
* Or fine piano-forte wire.
172 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
of a portion of the iron is effected. The ferrous chlorid is
oxidized to ferric chlorid, as the equation shows, and the
solution becomes at first dark brown through the presence
of NO. As the heat is increased, the, dark-brown color of
the solution is gradually changed to yellow, as ferric chlorid
is formed, and increases in intensity until the reaction is
complete, then the color remains stationary and indicates com-
pletion of oxidation. The solution is now allowed to cool,
but the stream of CO2 or H gas is maintained. Forty cc. of
a solution of manganese sulphate are now added (this is not
necessary if sulphuric acid is used instead of hydrochloric),
and titration with — potassium permanganate solution begun,
in order to determine the quantity of unaltered ferrous salt
remaining in the solution. Assuming that 89 cc. were required,
the calculation is made as follows:
Since one molecule of HNO3 (63.01) reacts with three
atoms of iron (167.46) the quantity of iron found to have
63.01
been oxidized, if multiplied by —z — 7, will give the quantity
of nitric acid present.
Example. 1.5 gms. of iron wire, 99.6 per cent Fe= (1.494 gms.
of iron), is dissolved in hydrochloric acid, as above described,
and 0.6 gm. of potassium nitrate, KNO3 (loi.ii), added.
After oxidation, 98 cc. of decinormal permanganate were
N
required. Each cc. of — KMn04 = 0.005582 gm. of Fe.
0.005582 gm.X 98 = 0.547 gm. of oxidized iron. 1.494 gms.
of iron were originally taken.
Therefore,
1.494
0.547
gm. = the quantity of iron oxidized.
0.947 ^ ^ J
ANALYSIS BY OXIDATION AND REDUCTION 173
Then
0.047 X6?.oi
-^%i— °-357 gm. of HNO3,
which equals
0.947X63.01X101.11 , rr^rr^
167.40X63.01 0/ & -1'
or 95.5 per cent pure.
N N
It is usually advisable to use an — instead of an ^- KMn04
, . 5 10 '^
solution.
Chromic Acid and Chromates. Chromic acid oxidizes
ferrous salts in the same manner as nitric acid does. The reac-
tion is thus expressed:
6FeS04+6H2S04 + 2Cr03 = Cr2(S04)3+3Fe2(S04)3+6H20.
SFe =334.92 200
To an accurately weighed quantity of ferrous ammonium
sulphate (Mohr's salt) FeS04 + (NPl4)2S04 + 6H20 (the per-
manganate titer of which is known), which is dissolved in a
sufficient quantity of diluted sulphuric acid in an Erlenmeyer
flask * add a weighed quantity of the chromate or chromic
acid in a concentrated aqueous solution. Warm the mixture
on a water-bath, under a constant stream of carbon dioxid
until the liquid assumes a clear green color. This occurs in
a few minutes, and indicates complete reduction of the chromate.
Now allow the solution to cool, continuing the passage
of carbon dioxid through the flask, and transfer the cold
solution to a large beaker, and after diluting it to about 300
cc. and strongly acidifying it with sulphuric acid, titrate it
* This flask should be provided with a stopper having two perforations
through which glass tubes are passed, one of these, which serves to convey
carbon dioxid gas, should reach close to the surface of the liquid, the other
tube should end just below the stopper and serve as the outlet tube. See
Fig. 44.
174 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
N
for iinoxidized ferrous salt by means of — potassiiim per-
lO
manganate.
It is usually sufficient to mix the solutions cold, but it
is better to employ heat after mixing. A large excess of
ferrous salt is unnecessary. It is imperative to dilute the
solution highly before titration, as then only can the end color
point be accurately determined in the green solution. The
use of an excess of sulphuric acid before titration is likewise
demanded. A violet-red color marks the end-point, and unless
too great a quantity of chromate be taken, or the solution be
insufficiently diluted, it can be easily recognized. This method
is applicable not only to free chromic acid and soluble chro-
mates, but also to chromates which are insoluble in water.*
It can therefore be employed for the indirect estimation of
such bases as are precipitable by chromic acid, out of neutral,
ammoniacal or acetic acid solutions, as for instance lead,
bismuth and barium.
Finally, the method may be employed for the estimation
of chromic oxids. The solution of the latter is treated with
an excess of sodium carbonate, bromine water added, and
heat applied until a clear solution results. This solution,
which contains all of the chromium in the form of sodium
chromate, is evaporated, the residue dissolved in dilute acetic
acid and the chromium completely precipitated by means of
lead acetate. The precipitated lead chromate is then treated
as above.
The calculation is made with reference to the equation,
in which it is shown that one molecule, loo of chromic oxid
(CrOs), is equivalent to three molecules (167.46) of metallic
* In the case of insoluble chromates the salt is shaken directly with the
ferrous solution, and the mixture more highly diluted, and more strongly
heated, than in the case of soluble salts.
ANALYSIS BY OXIDATION AND REDUCTION 175
lOO
iron. The quantity of iron oxidized, multiplied by
167.46'
gives the weight of chromic oxid present, and from this its
equivalent in potassium, sodium, lead, bismuth or barium
chromate is calculated.
In the case of potassium dichromate (K2Cr207) one mole-
cule (294.2) is equivalent to six atoms (334.92) of metallic
294.2
iron. The quantity of iron oxidized is multiplied by .
Example. To 1.5 gms. of ammonio-ferrous sulphate (con-
taining 0.2142 gm. Fe) add 0.1241 gm. of K2Cr207 (molecular
weight 294.2), and after complete oxidation, titrate the solu-
N
tion with — KMn04 to determine the quantity of unchanged
ferrous salt. 13 cc. are required. Each cc. represents 0.005582
gm. of Fe.
Thus, 13X0.005582 gm. =0.0725 gm., the quantity of iron
which was not oxidized by the dichromate. This, deducted
from the quantity of iron originally added (0.2142 — 0.0725
= 0.1417 gm.), gives the quantity which was oxidized.
Then,
O.I4I7XIOO „ r ^ ^
— ^ '. — = 0.08475 -f gm. of CrOs
or
0.1417X 294.2
334-92
= 0.1247 gm. of K2Cr207.
Example. To 1.5 gms. of ammonio-ferrous sulphate (con-
taining 0.2142 gm. of Fe) add the precipitate of barium
chromate obtained from 0.2491 gm. of BaCl2-l-2H20 (molec-
ular weight 244.29) and after complete oxidation, titrate with
N
— permanganate. 7.8 cc. are consumed, thus 7.8X0.005582
=0.04353 gm. the quantity of unoxidized iron present. Then
176 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
0.2142 — 0.04353 = 0.17057 gm. of iron oxidized by the barium
chromate.
0.17057X244.20
— '-— — ^^^*— ^ = 0.2489 gm. BaCl2 + 2H20.
e. Methods Involving the Oxidation of the Substance Analyzed by
Means of a Ferric Salt, and Titration or the Resultant Fer-
rous Salt.
Estimation of Tin (Lowenthal). When stannous chlorid
is brought in contact with ferric chlorid it acts as a reducing
agent, the ferric chlorid being reduced to ferrous, and the
stannous chlorid oxidized to stannic. This reaction, which
is an exact quantitative one, takes place according to the
following equation:
SnCla + FeaCle = SnCU + 2FeClo.
2)119 2)111.64
59-5 55-82
Every 55.82 parts of iron reduced to the ferrous state
represents 59.5 parts of tin. The quantity of ferrous iron
N
produced is determined by titration with — permanganate.
Metallic tin, or any protosalt of tin, will dissolve in ferric
chlorid solution in the presence of a little hydrochloric acid
and act in the manner described.
About 0.5 gm. of tin or an equivalent of stannous salt
is introduced into a flask graduated at 250 cc. Five cc. of
tolerably concentrated ferric chlorid solution and a little hydro-
chloric acid are then added. It is well to drop into the flask
a crystal of sodium carbonate, in order to produce carbon
dioxid to replace the air in the flask and thus prevent oxida-
tion by the oxygen of the air. The mixture is gently warmed
until the tin is wholly dissolved, and then the solution diluted
with cold, recently boiled water, to 250 cc. Of this solution
50 cc. is withdrawn by means of a pipette and titrated with
ANALYSIS BY OXIDATION AND REDUCTION 177
N N
— permanganate. Each cc. of — permanganate = 0.005582
gm. Fe = 0.00595 gm. Sn.
It is always advisable, when an exact assay is to be made,
to make a blank experiment, using a like quantity of water
and ferric chlorid solution, and deducting the quantity of
permanganate solution used from the quantity required in
the assay. The difference is calculated as tin.
Estimation of Qopper (Fleitmann). The copper salt is
first reduced either to cuprous oxid by means of glucose or
to the metallic state by means of pure zinc. The reduced
product is then dissolved in a mixture of ferric chlorid and
hydrochloric acid, a little sodium carbonate added to expel
N
the air, and the titration with — permanganate begun, as in
the preceding assay. The reaction is
or
CU2O + FeaCle + 2HCI = 2CUCI2 + H2O + 2FeCl2
Cu + FeaCls = CuCb + iFeClj.
2)63.57 aim. 64
31-78 55-82
N
Each cc. of — KMn04 = o.oo3i78 gm. Cu.
Example, o.i gm. of the copper salt is dissolved in water,
an excess of a weak sodium carbonate solution is then added,
the mixture heated to boiling and a slight excess of glucose
solution added, i.e., sufficient to completely precipitate the
copper as CU2O and cause the blue color of the solution to
disappear. The boiling should be continued several minutes
longer and the precipitate separated by filtration through asbes-
tos. After thoroughly washing the precipitate with hot water,
it is transferred to a flask filled with CO2. Solution of
ferric chlorid or ferric sulphate is then added, together with
178 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
some hydrochloric or sulphuric acid, and when the precipitate
N
(CuaO) is dissolved, the solution is titrated with — perman-
ganate V.S.
Volumetric Analysis by Means of Potassium Dichromate
In some respects the dichromate possesses advantages over
permanganate:
1. It may be obtained in a pure state. .
2. Its solution does not deteriorate upon standing as does
that of permanganate.
3. It is not decomposed by contact with rubber as the
permanganate is, and may therefore be used in Mohr's burette.
Its great disadvantage, however, is that when used in the
estimation of ferrous salts the end-reaction can only be found
by using an external indicator. The indicator which must
be used is freshly prepared potassium ferricyanid T.S., a
drop of which is brought in contact with a drop of the solu-
tion being tested, on a white slab, at intervals during the
titration, the end of the reaction being the cessation of the
production of the blue color, when the two liquids are brought
together. Thus the estimation by potassium dichromate is
cumbersome, and very exact results are not as easily obtained
as with permanganate.
Besides ferrous salts, a great many other substances may
be estimated by oxidation analysis with dichromate. Among
them nitrat-es, sulphates, arsenous acid, barium, lead, ferric
salts after reduction by stannous chlorid or an alkaline sul-
phite, but not after reduction by means of metallic zinc.
The presence of the dissolved zinc salt interferes with the
reaction of the ferricyanid indicator. Ferrous salts may be
estimated in the presence of hydrochloric acid, by means of
dichromate, without the precautions that apply in the case
ANALYSTS BY OXIDATION AND REDUCTION 179
of permanganate. Chromium as chromate may be indirectly
estimated; an excess of a solution of a ferrous salt being
added and then the excess determined by dichromate. lodids,
thiosulphates and alkalies may also be estimated by means
of potassium dichromate.
N
Preparation of Decinormal — Potassium Dichromate
10
N
(K2Cr207 = 294.2; — V.S. =4.903 gms. in 1000 cc).
4.903 gms. of pure potassium dichromate * which has
been pulverized and dried at 120° C. is dissolved in sufK-
cient water to make 1000 cc. of solution.
It will be noticed that Yo of the molecular weight of the
dichromate (expressed in grams) is taken in the preparation
of 1000 cc. of this solution. The reason for this is that one
molecule of potassium dichromate when treated with an acid
yields three atoms of nascent oxygen which are available for
oxidizing purposes, thus
K2Cr207+4H2S04 = K2S04 + Cr2(S04)3+4H20 + 03;
and since each atom of oxygen is equivalent to two atoms
of hydrogen, one molecule of the dichromate must be equiv-
alent to six atoms of hydrogen. Hence a normal solution of
potassium dichromate, when used as an oxidizing agent, should
contain one-sixth of the molecular weight, expressed in grams,
in 1000 cc. (see definition for normal solution) and its deci
normal solution ^.
If a standard solution of potassium dichromate is to be
made for use as precipitant, as in the titration of barium,
one-fourth of the molecular weight is to be taken for 1000
cc. of the normal solution, as explained in Chapter III.
* Potassium dichromate for use in volumetric analysis should respond
to all the tests for purity given in the U. S. P., or it should be recrystallized
several times and then dried.
180 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Standard solution of potassium dichromate is sometimes
used as a neutralizing solution for estimating alkalies, phenol-
phthalein being used as indicator.
When used for this purpose the normal solution contains
147. 1 gms. in I liter (one-half the molecular weight in grams).
It is then the exact equivalent of any normal acid V.S.
2KOH + KaCr^Or = 2K2Cr04 + H2O.
2)112.2 2)294.2
56.1 gms. 147. 1 gms., or looo cc. normal V.S.
Decinormal potassium dichromate may also be used in
conjunction with potassium iodid and sulphuric acid for
standardizing sodium thiosulphate. lodin is liberated from
potassium iodid in this reaction. The reaction is expressed
by the equation
KaCraO 7 + 6KI + 7H2SO4 = 4K2SO4 + Crg ( SO4 ) 3 + 7H2O + 3I2.
Thus one molecule of the dichromate will liberate six
atoms of iodin, therefore a normal solution should contain
one-sixth of the molecular weight, and a decinormal. solution
^V in Tooo cc. The solution is hence of the same strength
as that which is used for oxidizing purposes. If the deci-
normal solution containing 14.71 gms. in i liter is used, it
3N
has the effect of a — solution.
10
The decinormal solution which is used as an oxidizing
agent is chemically equivalent to decinormal potassium per-
manganate. When used for the purpose of liberating iodin
from potassium iodid, it is the equivalent of an equal volume
of decinormal sodium thiosulphate.
For litraling ferrous salts the decinormal solution of dichro-
mate is used in the following manner:
Make an aqueous solution of the ferrous salt, introduce
ANALYSIS BY OXIDATION AND REDUCTION 181
it 'into a flask, and acidulate it with sulphuric or hydrochloric
acid. Now add gradually from a burette the decinormal
potassium dichromate until a drop taken out upon a white
slab no longer shows a blue color with a drop of freshly
prepared potassium ferricyanid T.S. Note the number of
cc. of the standard solution used, multiply this number by
the factor, and thus obtain the quantity of pure salt in the
sample taken.
Ferrous salts strike a blue color with potassium ferricyanid,
but as the quantity of ferrous salt gradually diminishes during
the titration, the blue becomes somewhat turbid, acquiring
first a green, then a gray, and lastly, a brown shade. The
process is finished when the greenish-blue tint has entirely
disappeared.
The reaction of potassium dichromate with ferrous salts
always takes place in the presence of free sulphuric or hydro-
chloric acid at ordinary temperatures. Nitric acid should not
be used.
If it is desired to estimate ferric salts by this standard
solution it is necessary to first reduce them.
This may be done by metallic magnesium, sulphurous
acid, the alkali sulphites, or by stannous chlorid.
Standard potassium dichromate may be checked in the
same way as standard permanganate, with pure metallic iron.
ESTIMATION OF FERROUS SALTS WITH POTASSIUM DICHROMATE
One molecule of potassium dichromate yields, under favor-
able circumstances, three atoms of oxygen. This is shown by
the following equation:
KaCraOy = CrgOs + K2O + O3.
Here it is seen that the three liberated atoms of oxygen
182 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
combine at once with the ferrous oxid, converting it into
ferric oxid:
6FeO + 03 = Fe609 or sFcaOs.
In the oxidation of a ferrous salt, the reaction takes place
only in the presence of an acid.
The dichromate then gives up its oxygen. Four of its
oxygen atoms combine at once with the replaceable hydrogen
of the accompanying acid, the other three being liberated.
The three oxygen atoms thus set free are available either for
direct oxidation or for combination with the hydrogen of
more acid. In the latter case a corresponding quantity of
acidulous radicals is set free.
K2Cr207+4H2S04 = K2S04 + Cro(S04)3+4H20 + 03.
In this case four of the liberated atoms of oxygen combine
with eight of the atoms of hydrogen of sulphuric acid and
liberate four SO4 radicals, which at once combine with the
K2 and Cr2 of the dichromate. The other three atoms are
set free. If seven sulphuric acid molecules are used instead
of four molecules, the three free atoms of oxygen will liberate
3(S04):
K2Cr207 + 7H2S04 = K2S04 + Cr2(S04)3 + 7H20 + (804)3.
If this liberation of 3(804) takes place in the presence of,
a ferrous salt, the 3(804) will combine with six molecules of
the ferrous salt, converting it into a ferric salt:
6Fe804+3S04=Fe6(S04)9 = 3Fe2(S04)3;
6FeS04 + K2Cr207 + 7H2SO4
= K2S04 + Cr2(804)3 + 7H20 + [3Fe2(S04)3].
If in the above case hydrochloric acid is used instead of
ANALYSIS BY OXIDATION AND REDUCTION 183
sulphuric, fourteen molecules of the former must be taken to
supply the neccessary hydrogen.
The seven liberated atoms of oxygen must have fourteen
atoms of hydrogen to combine with.
Three of these atoms of oxygen liberate six univalent or
three bivalent acidulous radicals.
Therefore, since one molecule of K2Cr207 will give up
for oxidizing purposes three atoms of oxygen, which are equiva-
lent chemically to six atoms of hydrogen, one-sixth of the
molecular weight in grams of the dichromate, dissolved in
sufl&cient water to make one liter, constitutes a normal solution,
and one-tenth of this quantity of K2Cr207 in a liter, a deci-
normal solution.
Thus the estimation of ferrous salts is effected by oxidizing
them to ferric with an oxidizing agent of known power, the
strength of the ferrous salt being determined by the quantity
of _ the oxidizing agent required to convert it to ferric.
Saccharated Ferrous Carbonate (FeC03= 115.82). One
gm. of saccharated ferrous carbonate is dissolved in 10 cc. of
diluted sulphuric acid and the solution diluted with water
to about 100 cc. The decinormal potassium dichromate is
carefully added, until a drop of the solution taken out and
brought in contact with a drop of freshly prepared solution
of potassium ferricyanid ceases to give a blue color.
The number of cc. of the dichromate solution is read off
and the following equations applied :
6FeC03-f6H2S04=6FeS04 + 6H20 + 6C02;
694.9 911-34
then
6FeC03 or 6FeS04 + K2Cr207 + 7H2S04
6 )694.9 6 )911. .S4 6) 294.2
1 9)115.82 10 )151.89 10 )49.03 j^
11.582 gms. 15.189 gms. 4.903 gms., or 1000 cc. — KjCrjO, V.S.
= K2S04 + Cr2(S04)3 + 7H20+3Fe2(S04)3.
181 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
N
Thus each cc. of — K2Cr207 represents 0.011582 gm. of
pure ferrous carbonate or 0.005582 gm. of metalhc iron.
If strong sulphuric acid is added to saccharated ferrous
carbonate it will char the sugar, and a black mass of burnt
sugar is obtained. This may be prevented by adding water
first, and then, slowly, the sulphuric acid.
Instead of sulphuric acid, hydrochloric acid may be used.
Fig. 45-
This will not char the sugar, but the ferrous chlorid which
is then formed is too readily oxidized by the air.
It has also been suggested that as hydrochloric acid so
rapidly converts ordinarj' sugar into invert sugar as to render
it easily attacked by the dichromate, it should be cautiously
used, if at all. Phosphoric acid has none of these disad-
vantages, and may be employed with good results.
In making estimations of ferrous salts with potassium
ANALYSIS BY OXIDATION AND REDUCTION 18.3
dichromate, care should be taken to avoid atmospheric oxida-
tion. It is good practice to calculate approximately how
much of the standard solution will probably be required to
complete the oxidation, and then add almost enough of the
standard solution at once, instead of adding it slowly.
A white porcelain slab is then got ready, and placed
alongside of the flask in which the titration is to be performed.
Upon this slab are placed a number of drops of the freshly
prepared solution of potassium ferricyanid, and at intervals
during the titration a drop is taken from the flask on a glass
rod and brought in contact with one of the drops on the
slab. The glass rod should always be dipped in clean water
after having been brought in contact with a drop of the
indicator. See Fig. 45.
When a drop of the solution ceases to give a blue color
on contact with the indicator, the reaction is complete.
Ferrous Sulphate (FeS04 + 7H2O = 277.89). Dissolve about
one gram of crystallized ferrous sulphate in a little water,
add a good excess of sulphuric or hydrochloric acid, titrate
with the decinormal potassium dichromate, as directed under
Ferrous Carbonate, and apply the following equation:
6(FeS04.7H20) + KaCrgOr + 7H2SO4
6)1667.34
10 )277.89 j^
27.789 gins., or 1000 cc. — K^CruOy V.S.
= 3Fe2(S04)3 + K2SO4 + Cri(S04)3 + 49H2O.
N
Thus each cc. of the — K2Cr207 V.S. represents 0.027789
gm. of crystallized ferrous sulphate or 0.015 189 anhydrous.
If one gm. of the salt is taken and dissolved as above, it
should require about 37 cc. of the standard solution, equiva-
lent to about 100 per cent.
1S6 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Anhydrous Ferrous Sulphate
6FeS04 + KoCraOr + 7H2SO4
6 )9"-.U
10)15 1-89 ^T
15.189 gms., or 1000 cc. — KjCrjO, V.S.
= 3Fe2(s6°4)3 + K2SO4 + Cr,(S04)3 + 7H2O.
Each cc. of the standard solution represents 0.015189 gm.
of real ferrous sulphate or 0.005582 gm. of metallic iron.
Dried (Exsiccated) Ferrous Sulphate has the approximate
composition FeS04 + 3H20.
It is tested in the same manner as the anhydrous ferrous
sulphate.
TABLE OF SUBSTANCES WHICH MAY BE ESTIMATED BY
MEANS OF POTASSIUM PERMANGANATE OR POTASSIUM
BICHROMATE.
Name.
Fori
Molecular
Weight.
N
Factor.
Acid, chromic
" hypophosphorous
" nitric
" nitrous
" oxalic (cristallized)
Barium dioxid
Calcium chlorid
" hypophosphitc
Ferric chlorid
" hypophosphitc
" sulphate
Ferrous carbonate
" oxid
" sulphate (anhydrous).
" " (crystallized)
Ferrum (metallic)
Hydrogen dioxid
Manganese dioxid
Potassium hypophosphitc . . . .
Sodium hypophosphite
" nitrite
CrOj
HPH2O2
HNO3
HNOj
H2C2O4+2H2O
BaOj
CaClj
CaCPH^Oj)^
FeCIs
Fe(PH202)3
Fe2(SO,)3
FeCOs
FeO
FeSO<
FeSO, + 7H20
Fe2
H2O2
Mn02
KPHzOj
NaPHjOj
NaNO,
100
66.04
63-01
47.01
126.05
169-37
III. 01
1 70. 1 7 -
162 . 20
250.94
399-85
115.82
71.82
151.89
277.89
55-82
34-0
86,93
104.15
88.05
69.01
0.0033
0.00165 I
0.0021
u. 00235
o . 0063
o . 00845
0-00555
0.002127
0.01622
0.025094
0.01999
O.OII582
0.007182
0.015 189
0.027789
0.005582
0.0017
0.004346
0.0026
0.0022
0.00345
ANALYSIS BY OXIDATION AND REDUCTION 187
Granulated Ferrous Sulphate (FeS04 + 7H20) is tested in
the same manner as crystallized ferrous sulphate, with which
it should correspond in strength.
Analysis by Indirect Oxidation
This method of analysis is based upon the oxidizing power
of iodin.
lodin acts upon the elements of water, forming hydri-
odic acid with the hydrogen, and liberating oxygen in a nascent
state.
Nascent oxygen is a very active agent, and readily com-
bines with and oxidizes many substances, such as arsenous
oxid, sulphurous acid, sulphites, thiosulphates, hydrosulphuric
acid, the lower oxids of antimony and their salts.
As203 + 2H20-|-2l2 = As205+4HI;
H2SO;h+H20+I2 = 2HI+H2S04.
Therefore iodin is said to be an indirect oxidizer, and
may be used for the estimation of a great variety of substances
with extreme accuracy.
When iodin is brought in contact with certain oxidizable
substances it is decolorized. This decolorization occurs as
long as some of the oxidizable substance is present, and ceases
when oxidation is complete. Hence when the yellow color
of iodin shows itself in the solution being analyzed the reaction
is known to be at an end. In most cases a more delicate
end-reaction is obtained by using starch solution as an indicator.
This gives a distinct and unmistakable blue color with the
slightest excess of iodin.
In making an analysis with standard iodin solution, the_
substance imder examination is brought into dilute solution
(usually alkaline), the starch solution added, and then the
188 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
iodin, in the form of a standard solution, is delivered in from
a burette, stirring or shaking constantly, until a final drop
colors the solution blue — a sign that a slight excess of iodin
has been added.
N
Preparation of Decinormal Iodin (1=126.92; — V.S. =
12.692 gms. per liter). Dissolve 12.692 gms. of pure* iodin
in 300 cc. of distilled water containing 18 gms. of pure potas-
sium iodid. Then add enough water to make the solution
measure at 15° C. (59° F.) exactly 1000 cc.
The solution should be kept in small glass-stoppered vials,
in a dark place.
The potassium iodid used in this solution acts merely as
a solvent for the iodin.
If pure iodin is used in making this solution, there is no
necessity for checking (standardizing) it.
But if desired the solution may be checked against pure
arsenous acid or sodium thiosulphate. It there is any doubt
as to the purity of the iodin, it is best to take a larger quantity,
say 14 gms. instead of the 12.692 gms. directed above, and
then dilute the resulting solution to the proper strength after
standardizing.
* If pure iodin be not at hand, it may be prepared from the commercial
article as follows:
Powder the iodin and heat it in a porcelain dish placed over a water-
bath, stirring constantly with a glass rod for 20 minutes. Any adhering
moisture, together with any cyanogen iodid, and most of the iodin bromid
and iodin chlorid, is thus vaporized.
Then triturate the iodin with abput five per cent of its weight of pure, dry
potassium iodid. The iodin bromid and chlorid are thereby decomposed,
potassium bromid and chlorid being formed and iodin liberated from the
potassium iodid.
The mixture is then returned to the porcelain dish, covered with a clean
glass funnel, and heated on a sand-bath. A pure resublimed iodin is then
obtained.
ANALYSIS BY OXIDATION AND REDUCTION 189
Standardization of lodin V.S. by Means of a Decinor-
mal Sodiiiiii TJiiosiilpJiate Solution. 25 cc. of the iodin solu-
tion are accurately measured off into a beaker, and then from a
N
burette the — thiosulphate is delivered until the solution is of
a pale yellow color, two or three drops of starch solution are
then added, and the titration with the thiosulphate solution
continued until the blue color of starch iodid is discharged.
If the iodin solution is exactly decinormal, the 25 cc. will
require 25 cc. of decinormal sodium thiosulphate to exactly
complete the reaction.
If on the other hand more than 25 cc. of thiosulphate
solution is required, it indicates that the iodin solution is too
concentrated, and must be diluted so as to correspond with
the thiosulphate solution, volume for volume.
Example. Assuming that in the above titration 27 cc. of
the thiosulphate solution were used, then each 25 cc. of the
iodin solution must be diluted with water to make 27 cc. in
order to convert the iodin solution into a strictly decinormal
solution. If, however, the iodin solution is found to be weaker,
N
as evidenced bv its using up less than its own volume of —
" ^ 10
thiosulphate, its relative strength should be noted on the label
of the container.
Thus if only 24.8 cc. of the thiosulphate solution are
25
used up, then i cc. of the latter equals — ^ cc. or 1.008 cc.
of the iodin solution.
One cc. of this iodin solution is equivalent to 0.992 cc. of
N
— thiosulphate, which is the same as saymg i cc. =0.992
^° N
cc. of — iodin, or expressed in another way, i cc. of this iodin
10
solution contains 0.01259+ gm. of iodin.
Such an iodin solution may be used as an empirical solu-
I!i0 THK ESSENTIALS OF VOLUMETRIC ANALYSIS
tion. and in any assay the quantity of it (in cubic centimeters)
24.8
which is consumed is divided by 1.008 or multiplied by
or by 0.992, and then multiplied by the decinormal 'factor
for the substance analyzed. Another way is to multiply the
cc. of this iodin solution used by the weight of iodin contained
in each cc, and then by a fraction in which the numerator
represents the quantity of the substance analyzed equal to
an atom of iodin, and the denominator is the atomic weight
of iodin.
Example, o.i gm. of arsenous acid consumes 20 cc. of
this empirical solution. How much absolute AS2O3 does it
N
contain ? The — factor for AS2O3 is 0.004948 gm.
-.M- , , / S 20X0.004948
Method (a) 3 =0.0981 gm.
24.8
Method (b) 20 X X 0.004948 = 0.0981 gm.
Method (c) 20X0.992X0.004948 = 0.0981 gm.
Method (d) 2oXo.oi2c:9X — 7 — =0.0981 gm.
^ -^^ 126.92 ^ *
It is a good plan to have the factors marked on the labels.
In the above case the label may, be marked
24.8
X or X0.992 or ICC =0.01259 g^i- iodin.
Standardizntion of Iodin V.S. by Means of Arsenous
Oxid. 0.2 gm. of pure resublimed vitreous arsenous oxid is
weighed off very carefully into a flask 50 cc. of water are
added, and then, after the addition of 2 gms. or more of
ANALYSIS BY OXIDATION AND REDUCTION 191
sodium bicarbonate, the mixture is gently warmed and shaken
until the arsenous oxid is completely dissolved.*
To this solution a few drops of starch indicator are added,
and then the iodin solution delivered carefully from a burette
until a blue color marks the end of the reaction.
AS2O3 + I4 + 2H2O = AS2O5 + 4HI.
197.92 4x126.92
49.48 gms. of Ar203 = 126.92 gms. of iodin;
4.948 " " As203= 12.692" " " or 1000 cc. — V.S.
0.2 gm. of AS2O3 will require
1000X0.2 N .
^ — = 40.44 cc. of a true — 10dm V.S.
4.948 10
Assuming that in the above titration 37.4 cc. of the iodin
solution were used, then the iodin solution is too concentrated
and must be diluted so that each 37.4 cc. will be made up to
40.44 cc.
After diluting in this way a new trial should be made.
It is a good plan to make a decinormal solution of the
arsenous oxid by dissolving 4.948 gms. of the pure oxid and
30 gms. of sodium bicarbonate in sufficient water to make
1000 cc. at 15° C. and to titrate this with the iodin solution.
25 cc. of this solution should require for complete oxidation
exactly 25 cc. of the iodin solution, if the latter is strictly of
decinormal strength.
* Arsenous oxid is much more readily soluble in alkali hydroxid, than in
carbonated alkalies, therefore the following method of making the sulution
is preferred: 0.2 gm. of arsenous oxid is dissolved in a small quantity of
boiling water with the aid of potassium hydroxid (free from sulphur), the
solution is then acidified with hydrochloric acid, and then again made alkaline
by the addition of sodium bicarbonate. The latter must be added in con-
siderable excess, being careful, however, to avoid loss of solution during
effervescence.
1<)2 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
The Starch Solution. This solution, which is used as an
indicator in iodometric determinations, is made as follows:
One gm. of starch (potato, arrowroot or corn starch), is tri-
turated with lo cc. of cold water, until a smooth mixture is
obtained, then sufficient boiling water is added, with constant
stirring, to make 200 cc. of a thin, translucent fluid. If the
solution is not translucent it should be boiled for about three
minutes, then allowed to cool, and filtered. This solution
does not keep very long, in fact it becomes useless after
standing one day, therefore it should be freshly prepared
when required.
This indicator is very sensitive to iodin — it will detect
one part of iodin in 3,500,000. If the solution is not clear,
or contains flocks of insoluble starch, the characteristic
beautiful blue color is not obtained with iodin; instead, a
greenish or brownish color is produced, and the insoluble
particles are even colored black and are decolorized with
difficulty.
The blue color which starch gives with iodin constitutes
a very delicate indication of the slightest excess of iodin.
This color is usually regarded as being due to the formation
of a compound of starch and iodin, called iodid of starch.
It is a compound of very unstable character and of doubtful
composition.
Sodium thiosulphate behaves towards iodid of starch
exactly as it does toward free iodin — it takes up the iodin
and thus discharges the blue color.
Iodid of starch dissociates upon heating, but reunites
upon cooling, hence it is advisable to avoid heat in estimations
where starch is used as an indicator.
In order to prevent the deterioration of this solution a
few drops of chloroform may be added; thi$ will preserve
it for a long time. Oil of cassia is also recommended as a
ANALYSIS BY OXIDATION AND REDUCTION 193
preservative. Moerk adds 2 cc. of the oil to a liter of the
cooled starch solution. Zinc chlorid or iodid added to the
boiling starch solution will prevent its decomposition for a
long time. A starch solution so made, however, should not
be used in titrations of sulphids, because zinc reacts with
sulphids.
In the case of solutions containing carbonates, the pre-
cipitate of zinc carbonate is so small in amount that it does
not interfere in the least with the recognition of the end-
reaction tint. Mercuric iodid is also a very valuable preserva-
tive.
o.oi gm. of mercuric iodid in a liter of the starch solution
is quite sufficient. A very satisfactory indicator is the com-
mercial soluble starch which is made by heating potato starch
with glycerin and precipitating the starch by repeated treat-
ment with alcohol. This starch dissolves readily in hot water
forming a clear solution, which gives a very delicate reaction
with iodin. It is best preserved under alcohol, the latter
being removed by filtration and evaporation, when the starch
is wanted for making a solution.
In making starch solution for use as an indicator, long
continued boiling should be avoided, as this converts some
of the starch into dextrin.
On the Use of Sodium Bicarbonate in Titrations with
Iodin. In these titrations an excess of alkali is necessary in
order to neutralize the hydriodic acid formed.
AS203 + 2HoO-|-2l2 = As205-t-4HI.
If the hydriodic acid is not removed by neutralization it
will react with the arsenic oxid (AS2O 5), reducing it to arsenous
oxid (AS2O3) and liberate iodine, as shown by the following
equation :
4HI -I- AS2O5 == AS2O3 -f- 2H2O -I- 2I2.
194 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Sodium bicarbonate is usually employed to neutralize the
HI and should be used in slight excess.
Alkali hydroxids or carbonates cannot be used for this
purpose, because they react with free iodin or even with
starch iodid. Bicarbonates ordinarily have no such action,
and therefore sodium bicarbonate is usually directed to be
added in excess to the solution to be titrated with iodin.
It is well known that sodium hydroxid solution reacts
with free iodin, with formation of hypoiodite and iodid.
2NaOH + l2 = NaIO+NaI+H20,
the hypoiodite quickly forming iodate.
3NaIO = 2NaI + NaI03.
It is also now a recognized fact that sodium carbonate
is partly hydrolyzed when in solution, with formation of
some sodium hydroxid, as per equation,
NaoCOs + H2O = NaOH + NaHCOs.
It therefore reacts in much the same way with iodin as
the hydroxid, though to a less extent.
On the other hand, it is generally supposed that bicar-
bonate of soda is without effect on iodin, and when, in iodo-
metric estimations, addition of sodium bicarbonate is indicated,
little attention is given to amount added, as long as it be in
excess.
The experiments of W. A. Puckner, Proc. A. Ph. A., 1904,
408, prove that we are entirely wrong in the supposition that
sodium bicarbonate has no effect upon iodin. He showed
that when using i to 2 gms. of the bicarbonate, an error of
1.5 to 4.5 cc. of decinormal iodin may be introduced, even
when the sodium bicarbonate used is of exceptional purity.
ANALYSIS BY OXIDATION AND REDUCTION 195
and especially proven to be free from carbonate, sulphite or
thiosulphate. He shows that when sodium bicarbonate is
added to a decinormal iodin solution, residual titration with
sodium thiosulphate will show a considerable loss of free
iodin, which went into combination in some form or other
(probably iodid) and that the quantity so lost is proportional
to (i) the mass of sodium bicarbonate; (2) the time of the
interaction (the reaction is slow); (3) the concentration of
the solution; (4) the temperature, and (5) the size of the flask
in which reaction occurs. These phenomena are due to the
fact that sodium bicarbonate when dissolved in water under-
goes hydrolysis, thus
2NaHC03 = Na2C03 + H2C03 or (H2O + CO2).
This breaking up of the NaHCOs into Na2C03 and
H2CO3, and the latter into H2O and CO2, continues until the
pressure of the CO2 above is equal to the pressure of the gas
in the solution, i.e., until equilibrium has been reached. In
concentrated solutions of NaHCOs the amount hydrolyzed is
much greater than in dilute solutions. An elevation of temper-
ature materially increases the absorption of iodin.
Less iodin is lost when smaller flasks are used, provided
the glass stopper completely shuts off communication with
the atmosphere. The CO2 will escape from the solution
until its pressure in the solution is equal to that of the gas
above. Thus, since a larger volume of air is contained in
a larger flask, more CO2 passes from the liquid before equi-
librium is estabhshed, hence more NaHCOs is decomposed,
and more iodin in consequence absorbed.*
Reasoning from the above observations it may be said
* For further study of equilibrium, see the work of Dr. H. N. McCoy,
Am. Ch. J., vol. XXIV, 437-
196 THE ESSENTIALS OF \'OLUAIETRIC ANALYSIS
that: I, though sufficient sodium bicarbonate be used to
more than neutrahze the hydriodic acid formed, the solution
titrated should be well diluted; 2, that the titration should
be done cold; 3, that the titration should be done in small
stoppered flasks, and 4, it should be done quickly.
Estimation of Arsenous Compounds
These compounds are estimated by means of iodin in a
manner similar to that described under standardization of
iodin solution by means of arsenous oxid. The method is
as follows:
Arsenous Oxid {Arsenous Acid, Arseiwus Anhydrid, Arsenic
Trioxid){As203='-!g'j.g2). When arsenous acid is brought in
contact with iodin in the presence of water and an alkali,
it is oxidized into arsenic acid and the iodin is decolorized.
The reaction is:
As20n + 2l2 + 2H20 = As205 + 4HI;
NaHCOa + HI = NaT + H2O + CO2.
The alkali should be in sufficient quantity to combine
with the hydriodic acid formed, and must be in the form of
potassium or sodium bicarbonate.
The hydroxids or carbonates should not be used. Starch
solution is used as the indicator, a blue color being formed
as soon as the arsenous acid is entirely oxidized into arsenic
acid.
0.1 gm. of arsenous acid is accurately weighed and dis-
solved, together with about i gm. of sodium bicarbonate, in
20 cc. of water heated to boiling. Allow the liquid to cool,
add a few drops of starch solution, and allow the decinormal
iodin to flow in, shaking or stirring the mixture constantly
ANALYSIS BY OXIDATION AND REDUCTION 107
until a permanent blue color is produced. The following
equation illustrates the reaction:
AS2O3 + 2H2O + 2I2 = 4HT + AS2O5.
4)197-92 4 )5°7-68
io)4C).48 10)126.92
4.948 gms. 12.692 gms. or 1000 cc. — I V.S.
10
N
Thus each cc. of — I V.S. represents 0.004948 gm. of
pure AS2O3.
Solution of Arsenous Acid and Solution of Potassium
Arsenite are assayed in the manner above described. Twenty cc.
are taken for the assay, i gm. of sodium bicarbonate added,
the solution diluted to 100 cc, and titrated with the deci-
normal iodin solution. No indicator is required though starch
may be used.
In the case of solution of potassium arsenite, it is advisable
to slightly acidify with hydrochloric acid, then to make the
solution alkaline with sodium bicarbonate before titrating.
The hydrochloric acid is employed here in order to neutralize
any potassium hydroxid which may have been formed through
hydrolysis of the potassium bicarbonate contained in the
solution.
Arsenous lodid (Asis = 455.72). This salt is estimated in
the same way as described for arsenous oxid. The reaction
is illustrated by the following equation:
2ASI3 + 5H2O + 2I2 = AS2O5 + loHI.
4 )9"-44
io)_227^86_ j^^
22.786 gms. = 1000 cc. — I V.S.
The Direct Percentage Assay of Arsenous Compounds.
A quantity of arsenous acid is taken, which is equal to the
weight of pure As20-f, oxidized by 100 cc. of decinormal iodin,
i.e., 0.4948 gm.
198 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
N
If 0.4948 gm. of the sample be taken then each cc. of —
10
I V.S. will represent rJir °^ ^^^^ quantity or i per cent of
pure AS2O3. In the case of weak solutions of arsenic, as
liquor acidi arsenosi, liquor potassii arsenitis, etc., which
contain only one per cent of arsenous acid. A much larger
quantity should be taken for analysis, otherwise the quantity
of standard iodin solution used will be so small as to diminish
the accuracy of the test.
Thus, if only 0.4948 gm. of either of the above solutions
be taken, no more than i cc. of the standard solution would
be required. It is better to take enough of the preparation
to use up 30 to 50 cc. of standard solution.
Estimation of Antimony Compounds
Antimonous oxid (Sb203) or any of its compoxmds may
be accurately estimated by means of iodin, in a manner similar
to that described for the estimation of arsenous oxid, the
antimonous oxid being oxidized to antimonic oxid, as per
equation,
SbaOs + 2H2O + 2I2 = 4HI + SbsOs.
The antimonous oxid is dissolved and kept in solution by
the aid of tartaric acid, and then after the addition of an
N
excess of sodium-bicarbonate, the solution is titrated with —
10
iodin, using starch as an indicator. Accurate results can only
be obtained if the solution is sufficiently alkaline to neutralize
the hydriodic acid formed during the reaction. The titration
should be conducted without delay after the addition of the
bicarbonate, otherwise a precipitate of antimonous hydrate
will be formed, upon which iodin has little effect. The anti-
ANALYSIS BY OXIDATION AND REDUCTION 199
mony must be in solution to be properly attacked by the
iodin.
To O.I gm. of antimonous oxid 20 cc. of water are added
and the mixture heated to boiling; to this tartaric acid is
added in small portions at a time until the oxid is completely
dissolved. The solution is then • neutralized by means of
sodium carbonate, and sufficient of a saturated solution of
sodium bicarbonate is added to make the solution distinctly
alkaline (about 10 cc. is required for o.i gm. of the antimonous
oxid). The mixture is now ready for titration with standard
iodin solution. This should be done immediately. The
appearance of a permanent blue color marks the end-point,
starch being used as indicator.
SbaOa + 2H2O + 2I2 = 4HI + SbaOs.
4 )288.4 4 )507.68
10)72.1 10)126.92
7.21 gms. 12.692 gms. or 1000 cc. — V.S.
10
N
One cc. of — iodin represents 0.00721 gm. of SbaOs.
The solution of the oxid may be made by means of hydro-
chloric acid, and after adding a portion of tartaric and diluting
with water, sodium bicarbonate is added and the titration
conducted as above.
Other compounds of antimony may be estimated in the
same way. Antimonic compounds are reduced to antimonous
sulphid (SbaSs) by precipitating with hydrogen sulphid, and
after thoroughly washing the precipitate, dissolving it in hydro-
chloric acid; thus a solution of antimonous chlorid is obtained
from which all traces of hydrogen sulphid are expelled by
boiling. This solution is diluted with water, tartaric acid
added, and finally, after making alkaline with sodium bicar-
bonate, titrated with the standard iodin solution as above
described.
200 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
' Antimony and Potassium Tartrate (Tartar Emetic)
[2(K[SbO]C4H406)+H20 = 564.7]. i gm. of the salt is
dissolved in sufficient water to make loo cc. 30 cc. of this
solution, representing 0.3 gm. of the salt, are taken for assay.
20 cc. of a cold saturated solution of sodium bicarbonate are
added, then a little starch .solution, and the mixture titrated
N
with — iodin until a permanent blue color appears.
The calculation is as follows:
2K(SbO)C4H,06 + H2O + 2I2 + 3H2O
4)664.7 4)5°7-68
10)166.17 10)126.92
16.617 gms. 12.692 gms. = 1000 cc. — V.S.
= 4HI + 2KHC4H4O6 + 2HSbOa.
N
I cc. of — iodin represents 0.016617 g™- o^ 2K(SbO)C4H406
+ H2O (crystallized tartar emetic).
K(SbO)C4H406 (anhydrous tartar emetic) = 323.34.
1° ) 161 -67 j^
16.167 gms. = 1000 '^'^- — V-S-
N
Thus I cc. of — iodin represents 0.016167 gm. of anhydrous
tartar emetic.
Estimation of Sulphurous Acid and Sulphites
These substances may be accurately estimated by means
of a standard solution of iodin. When sulphurous acid or
one of its salts is brought in contact with iodin, a complete
oxidation takes place. The sulphurous acid is oxidized to
ANALYSIS BY OXIDATION AND RKDUCTION 201
sulphuric acid and the sulphite to a sulphate, as the equations
show:
H2S03 + H20 + T2 = 2HI+H2S04,
Na2S03+H20 + l2 = 2HI + Na2S04,
NaHS03 + H20+l2-=2HI+NaHS04.
There are two methods which may be employed. In one
method the substance is brought into solution in water, an
excess of sodium bicarbonate is added, and then the standard
iodin solution is run in until a faint yellow color of free iodin
marks the end-reaction. If starch solution is used as indicator
the end-point is the production of a blue color. The other
method is that of Giles and Shearer, who, in a ver}' voluable
series of experiments detailed in the J. S. C. I., Ill, 197, and
IV, 303, suggest the following modification:
The weighed sulphurous acid or the sulphite (in fine
N
powder) is added to an accurately measured excess of —
iodin, without diluting with water. After the mixture has
been allowed to stand for about one hour, with frequent
shaking, the oxidation is complete, and the excess of iodin
N
is ascertained by titrating back with — sodium thiosulphate.
The quantity of the latter deducted from the quantity
N
of — iodin solution added, will give the quantity of the latter
10
which reacted with the sulphite.
The neutral and acid sulphites of the alkalies, alkali earths,
and even zinc and aluminum, may be accurately estimated
in this manner. The less soluble salts requiring, of course,
more time and shaking, to insure their complete oxidation.
The latter is the U. S. P. method.
202 THE ESSENTIALS OF VOLU.METRIC ANALYSIS
Sulphurous Acid. This is an aqueous solution of sulphur
dioxid (502 = 64.07).
Sulphurous acid when brought in contact with iodin is
oxidized into sulphuric, the iodin being decolorized because of
its union with the hydrogen of the accompanying water,
forming hydriodic acid.
Two grams of sulphiu-ous acid are taken and diluted with
distilled water (recently boiled and cooled *) to about 25
cc. Two grams of sodium bicarbonate are added, and then
the decinormal iodin WS. is delivered into the solution (to
which a little starch solution had been previously added)
imtil a permanent blue color is produced.
The following equations, etc., show the reactions that take
place:
H2S03+H20+l2 = 2HI+H2S04.
Sulphurous acid being, however, looked upon as a solu-
tion of SO2 in water, the quantity of this gas is generally
estimated in analyses.
H20,S02 + H2O + I2 = 2HI + H2SO4.
2 )6407 ^ )253S4
10)32. o^ 10)126. q2
3.203 gms. 12.692 gms.
N
Thus each cc. of — iodin consumed before the blue color
10
appears, represents 0.003203 gm. of SO2.
The Residual Method. Because of the volatile nature of
this acid the residual method described below is the most
satisfactory in that loss by volatilization is avoided and com-
* "Recently boiled" insures absence of air, the oxygen of which would
partially oxidize the sulphurous acid, and "cooled" is directed to avoid loss
of SO2, which would occur if hot water were used.
ANALYSIS BY OXIDATION AND REDUCTION
203
plete oxidation of the acid assured. When the direct method
described is used there is more or less loss of SO2 and incom-
plete oxidation, with separation of sulphur.
Measure 2 cc. of the sulphurous acid into a stoppered
weighing flask and find its exact weight. Add this to the
N
■JO cc. of — iodin contained in a titration flask and let the
■^ 10
solution stand for about five minutes. Then titrate with
N
10
sodium thiosulphate until the mixture is decolorized. Subtract
the number of cc. of the thiosulphate used
N
from the <^o cc. of — iodin added, and multi-
^ 10
N
ply the difference bv the — factor for SO2,
^ •' "10
which is 0.0032035 gm. This will give the
weight of SO2 in the quantity of acid taken for
analysis.
When a solution containing sulphur dioxid
is to be measured by means of a pipette, it is
never advisable to fill the instrument by
suction in the usual manner, as this would
cause a loss of the gas. A better plan is to fill
the pipette by pressure by the use of an
arrangement similar to that shown in Fig. 46.
The' solution containing sulphur dioxid or
other volatile substance is poured into a flask
which is provided with a stopper through
which two glass tubes pass; one of these
tubes reaches nearly to the bottom of the flask
and the other projects about one- half an inch
below the stopper and is bent outward above. To the upper
end of the former the pipette is. attached by means of a piece of
Fro. 46.
204 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
rubber tubing. By blowing into the flask through the shorter
tube the liquid is caused to rise and fill the pipette, which may
then be easily pulled out of the rubber tube connection.
Sodium Sulphite (Na2S03 + 7H20 = 252.2). One gm. of the
salt is dissolved in 25 cc. of distilled water recently boiled to
expel air, and after the addition of an excess of sodium bicar-
bonate a little starch T.S. is added, and then the decinormal
iodin V.S. delivered in from a burette, until the blue color
of starch iodid appears, which does not disappear upon shaking
or stirring.
The reaction is expressed as follows:
NazSOa + 7H2O + I2 = 2HI + Na2S04 + 6H2O.
2)2^2.^ 2)25.^.84
10)126.1 10)126.0"
N .
12.61 gms. 12.692 gms. or looo cc. — lodin V.S.
Thus each cc. of the standard solution represents 0.01261
gm. of crystallized sodium sulphite.
If I gm. .of the salt is taken, to find the percentage multi-
ply the factor by the number of cc. of standard solution con-
sumed, and the result by 100.
For the residual method take 0.5 gm. of the finely powdered
N . .
crystals, add to 50 cc. of — iodin, contained in a loo-cc. glass-
stoppered flask, and allow to stand for one hour (shaking
N
frequently); then titrate with — sodium thiosulphate until
the color is discharged.
Potassium Sulphite (K2SO3 -1-21120 = 194.37). Operate
upon 0.5 gm. in the same manner as for sodium sulphite.
K2SO3 + 2H2O -H I2 = 2HI -f K2SO4 -h H2O.
2 )194-37
10)97.18
9.718 gms. or 1000 cc. of standard V.S.
ANALYSIS BY OXIDATION AND REDUCTION 205
N
Each cc. of the — iodin represents 0.009718 gm. of crys-
tallized potassium sulphite.
Sodium Bisulphite (NaHS04= 104.08). Operate upon
about 0.25 gm. in the same manner as for sodium sulphite,
and apply the following equation:
NaHS03 + l2 + H20 = 2HI+NaHS04.
Sodium Thiosulphate (Sodium Hyposulphite) (Na2S203
+ 51^20 = 248.24). This salt, when brought in contact with
iodin, is converted into sodium iodid and sodium tetrathionate.
The reaction is expressed by the equation
2Na2S203 + 12 = 2NaI +Na2Sj06.
It is estimated as follows: i gm. of the salt is dissolved
in 20 cc. of water, a few drops of starch solution are added,
N .
and then the — iodin is delivered in from a burette, until
10
the appearance of blue starch iodid indicates an excess of
iodin.
Hydrogen Sulphid (H2S = 34.07) . When iodin and hydrogen
sulphid are brought together in solution the following reaction
occurs :
H2S4-2l = 2HI + S.
The reaction is not regular, however, when performed in
an acid solution, but in the presence of alkali bicarbonates
the results are constant. The method may "be employed for
the estimation of alkali sulphates.
The process may be conducted as follows :
Into 30 cc. of a cold saturated solution of sodium bicar-
206 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
bonate, contained in a 500-cc. flask, measure a suitable quantity
of the solution of hydrogen sulphid, stopper the flask and
mix contents by shaking. Dilute the solution with about 300
N
cc. of water, add starch solution and titrate with — iodin
10
V.S. until a distinct and permanent blue color appears.
N
Each cc. of — iodin represents 0.0017035 gm. of H2S.
The residual method may also be employed. A suitable
N
volume of the sample is added to an excess of — iodin V.S.
mixed with some sodium bicar-
bonate solution, the solution
is thoroughly shaken, and then
N
titrated with — thiosulphate; the
quantity of the latter, deducted
N
from the quantity of — iodin
added, gives the quantity of
N . .
— iodin which reacted with
10
the H2S.
Sulphids. Soluble sulphids
Fig. 47. may be estimated by either
of the above methods. The
solution of sulphid containing about 0.2 gm. being treated
like an H2S solution.
Sulphids insoluble in water but decomposable by dilute
acids, may be estimated as follows :
A weighed quantity of the sulphid is introduced into a
flask, provided with a double perforated stopper; through
one of the perforations the stem of a separatory funnel is
ANALYSIS BY OXIDATION AND REDUCTION 207
passed, through the other a glass delivery tube (see Fig. 47).
The funnel tube extends nearly to the bottom of the flask and
is bent to form a hook, the opening of which is under water.
The delivery tube begins at the lower end of the stopper and
ends in another flask containing sodium bicarbonate solution.
The fimnel contains diluted sulphuric acid, which," upon open-
ing the glass stop-cock, is allowed to flow into the flask, upon
the contained sulphid; the H2S liberated is conducted into
the solution of sodium bicarbonate which absorbs it com-
pletely. A current of air aspirated through the apparatus
insures absorption of the entire H2S developed. The sodium
bicarbonate solution of H2S is then titrated with the standard
iodin, in the presence of starch.
Estimation of Metallic Iron in Reduced Iron
Professor E. Schmidt, of Marburg, recommends * the fol-
lowing process:
Weigh accurately 0.4 gm. of reduced iron, and place in a
loo-cc. flask with 10 cc. of water, and add 2 gms. of pure
dry iodin. Now rinse down the iodin left in the neck of the
flask with some water, and add 2 gms. of potassium iodid;
when all of the iodin has dissolved, add sufficient water to make
100 cc. Shake the flask and allow to stand for several
hours.
The iodin combines with metallic iron, but does not react
with any ferric oxid which may be present.
Fe2-l-2l2 = 2Fel2.
Then measure off 50 cc. of the clear liquid and titrate
* Proc. Soc. German Naturalists and Physicians, Sept., 1897.
208 THK ESSENTIALS OF VOLUMETRIC ANALYSIS
the free iodin with decinormal sodium thiosulphate, using
starch as an indicator. The reaction is thus expressed :
I2 + 2Na2S203, 5H2O = NaaSiOo + 2NaI + 10H2O.
2 )253-^4 2 )496-28
10)126.92 10)248.24 „
12.692 gms. 24.824 gms. or looo cc. — \^.S.
0.012692 gm. I cc. " "
Example. Assuming that 9 cc. of the decinormal solution
were employed in titrating the 50 cc, then 18 cc. would be
required for the entire quantity.
As seen in the above equation, each cc. of the decinormal
solution represents 0.012692 gm. of iodin; hence if 18 cc.
are employed we have 18X0.01269 gm. =0.228456 gm., the
quantity of free iodin.
Then by subtracting this amount from the quantity of
iodin taken (2 gms.) we ascertain the quantity which went
into combination with the iron, namely, 1.7715 gms. All
that is now necessary is to ascertain by calculation the quantity
of metallic iron represented by the above weight of iodin.
Fe + I2 = Felg;
55.82 253.84
i.77it;X«.82
" ^ o ^ — = 0.389+ gm.
253.84 -3 y B
Thus the 0.40 gm. of reduced iron taken contained 0.389 +
|m. of metalHc iron, or 87.7 per cent.
Many qther substances besides those mentioned in the
foregoing pages may be estimated by titration with standard
iodin solution. Among them are cyanids, stannous compounds,
mercurous compounds, metallic zinc, and aluminum.
ANALYSIS BY OXIDATION AND REDUCTION
209
TABLE OF SUBSTANCES WHICH MAY BE ESTIMATED BY MEANS
OF STANDARD lODIN SOLUTION
Name.
Formula.
Molecular
Weight.
— Factor.
Acid, sulphurous
Antimonous oxid
Antimony and potas'm tartrate
Arsenous iodid
" oxid
Cyanogen
Hydrogen sulphid
Iron (metallic)
Mercuric chlorid
Mercurous chlorid
Potassium cyanid
" sulphite (anhydrous)
" (crystallized)
Sodium bisulphite
" sulphite (anhydrous).
" " (crystallized) .
" thiosulphate
Sulphur dioxid
Tin in stannous compounds .. .
Zinc
H2SO,
SbjOa
■[K(SbO)C4He08] + H20
Aslj
AS2O3
CN
H^S
Fe,
HgClj
HgCl
KCN
K2SO3
K2SO3+2H2O
NaHSOa
NajSOj
Na2S03+ 7H2O
Na2S203+5H20
SO2
Suj
Zn,
82.07
288.4
664.7
455-72
197.92
26.01
34-07
I I I . 64
270.92
235-46
65.11
158.27
194-37
104.08
126.07
252.2
248 . 24
64.07
238.0
130-74
0.004103
0.00721
0.016617
0.022786
o . 004948
0.0013005
0.0017035
0.002791
0.027092
0.023546
0-003255
0.007913
0.009718
o . 005 204
o . 006303
O.OI26I
0.024824
0.003203s
0.00595
0.003268
Estimation of Substances Readily Reduced.
Any substance which readily yields oxygen in a definite
quantity, or is susceptible of an equivalent action, which
involves its reduction to a lower quantivalence, may be quan-
titatively tested by ascertaining how much of a reducing agent
of known power is required by a given quantity of the sub-
stance foi* its complete reduction.
The principal reducing agents which may be employed
in volumetric analysis are sodium thiosulphate, sulphurous acid,
arsenous acid, oxalic acid, metallic zinc, and magnesium.
The sodium thiosulphate is the only one which is employed
ofi&cially in th^ U. S. P. in the form of a volumetric solution.
210 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
It is used in the estimation of free iodin, and indirectly of
other free halogens, or compounds in which the halogen is
easily liberated, as in the hypochlorites, etc.
Estimations Involving the Use of Sodium Thiosulphate V.S.
(lodometry)
When sodium thiosulphate acts upon iodin, sodium tetra-
thiohate and sodium iodid are formed, and the solution is
decolorized.
This reaction takes place in definite proportions: one
molecular weight of the thiosulphate absorbs one atomic weight
of iodin.
2Na2S203 +l2 = 2NaI +Na2S406.
Chlorin cannot be directly titrated with the thiosulphate,
but by adding to the solution containing free chlorin an excess
of potassium iodid, the iodin is liberated in exact proportion
to the quantity of chlorin present, atom for atom.
Cl2 + 2KI = 2KCl+l2.
Then by estimating the iodin, the quantity of chlorin is
ascertained. All bodies which contain available chlorin, or
which when treated with hydrochloric acid evolve chlorin,
may be estimated by this method.
Also, bodies which contain available oxygen, and which
when boiled with hydrochloric acid evolve chlorin, such as
manganates, chromates, peroxids, etc., may be estimated in this
way.
Solutions of ferric salts, when acidulated and boiled with
an excess of potassium iodid, liberate iodin in exact propor-
tion to the quantity of ferric iron present.
ANALYSIS BY OXIDATION AND REDUCTION 211
Thus sodium thiosulphate may be used in the estimation
of a great variety of substances with extreme accuracy.
Preparation of Decinormal Sodium Thiosulphate (Hypo-
sulphite) (Na2Sa03 + 51120 = 248.48; conta,ins 24.848 gms. in
I liter). Sodium thiosulphate is a salt of thiosulphuric acid
in which two atoms of hydrogen have been replaced by sodium;
it therefore seems that a normal solution of this salt should
contain one-half the molecular weight in grams in one liter.
But this salt is used chiefly for the estimation of iodin,
and, as stated before, one full molecular weight reacts with
and decolorizes one atomic weight of iodin, and since one
atom of iodin is chemically equivalent to one atom of hydrogen,
a full molecular weight of sodium thiosulphate must be con-
tained in a liter of its normal solution.
Sodium thiosulphate is easily obtained in a pure state,
and therefore the proper weight of the salt, reduced to powder
and dried between sheets of blotting-paper, nSay be dissolved
directly in water, and made up to one liter.
A stronger solution than decinormal is usually made, its
titer found, and then the solution diluted to the proper measure.
Thirty gms. of selected crystals of the salt are dissolved in
enough water to make, at or near 15° C. (59° F.), 1000 cc.
This concentrated solution is then standardized by one of
the following methods:
JV
a. HUitulardiMition hy Meanfi of jTi Iodin. Transfer 10
cc. of this solution into a flask or beaker, add a few drops of
starch T.S., and then gradually deliver into it from a burette
decinormal iodin solution, in small portions at a time, shaking
the flask after each addition, and regulating the flow to drops
toward the end of the operation. As soon as a blue color is
produced which does not disappear upon shaking, but is not
deeper than pale blue, the reaction is completed. Note the
212 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
number of cc. of iodin solution used, and then dilute the thio-
sulphate solution so that equal volumes of it and the deci-
normal iodin will exactly correspond to each other, under the
above-mentioned conditions.
Example. The to cc. of sodium thiosulphate, we will
assume, require 10.7 cc of decinormal iodin.
The sodium-thiosulphate solution must then be diluted
in the proportion of 10 cc. to 10.7 cc, or 1000 cc. to 1070 cc.
After the solution is thus diluted a new trial should be
made, in the manner above described, in which 50 cc. of the
thiosulphate solution should require exactly 50 cc. of the
decinormal iodin to produce a faint blue color.
The solution should be kept in small dark amber-colored,
glass-stoppered bottles, carefully protected from dust, air,
and light.
One cc. of this solution is the equivalent of:
Iodin 0.012692 gram.
Bromin 0.007992 "
Chlorin .' 0.003546 "
Iron in ferric salts 0.005582 "
i. Standai-fJizatiou bjj 3Ieanl • alkalies = FcBow
mieoi. ^^jjg ^Colorless
Chemically it is an oxy-chlor-diphenyl-quinoxalin. It was
suggested as an indicator by Autenrieth.
The solution for the purpose of an indicator is prepared
by dissolving i part in loo parts of alcohol. Of this, four
drops are sufficient for 50 cc. of fluid to be titrated.
In sensitiveness, luteol exceeds both litmus and phenol-
phthalein. It is more sensitive toward ammonia than Nessler's
solution. Ten cc. of a solution containing one drop of am-
monia water per liter, is colored yellow immediately upon add-
ing luteol, whereas with Nessler's solution it takes quite some
time before a reaction is obtained.
Methyl Orange: ^'^f^ ^I^'f" "
Poirrier's Orange III, Tropaeolin D, Helianthin, Mandarin-
orange, Para-sulpho-benzeneazo-dimethylanilin.
This is prepared by the action of diazo-sulphanilic acid
upon dimethylanilin; the acid so formed is converted into
a sodium or ammonium salt, purified by reprecipitation with
HCl, and again converted into a sodium or ammonium salt.
If prepared carefully and from the purest materials, it is a
bright orange-red powder, perfectly soluble in water and
slightly in alcohol; but it is often found in commerce as a
dull orange-brown powder, often not completely soluble in
water. Many conflicting statements have been made by opera-
336 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
tors as to the value of methyl orange as an indicator, which
have tended to bring this indicator into disrepute.
Sutton has examined many specimens, but has not found
any in which the impurities sensibly affected its delicate action.
He claims that the common error is the use of too much
indicator, and that some eyes are more sensitive to a change
of tint than others.
Methyl orange is no doubt a very good indicator, but
practice with it must be had in order to obtain good results.
The author has found one sample which had a beautiful
orange color, but which was absolutely useless as an indicator.
A. H. Allen describes the characters and tests of a good
article as follows:
1. Aqueous solution, not precipitated by alkalies. (Orange
I becomes red-brown: orange II brownfsh-red.)
2. Hot concentrated aqueous solution yields with HCl
microscopic acicular crystals of the free sulphonic acid, soon
changing to small lustrous plates or prisms having a violet
reflection. (Orange I gives yellow-brown color or flocculent
precipitate; orange II brown-yellow precipitate.)
3. Dissolves in concentrated H2SO4 with a reddish or
yellowish-brown color, which on dilution becomes fine red.
4. BaCly yields a precipitate.
5. CaCl2 yields no precipitate. (Orange I gives a red
precipitate.)
6. Pb(C2H302)2 yields an orange-yellow precipitate.
7. MgS04 in dilute solutions precipitates the coloring
matter in microscopic crystals.
Methyl-orange T.S. is made by dissolving i gm. of methyl
orange in 1000 cc. of water. Add to it carefully diluted sul-
phuric acid in drops until the liquid turns red and just ceases
to be transparent. Then filter.
The great value of this indicator consists in the fact that
DESCRIPTION OF INDICATORS 337
it is not affected by carbonic-acid gas, sulphurated hydrogen,
or silicic, oleic, stearic and many other acids.
It answers well for ammonia, but it is useless for most
of the organic acids. Phosphoric and arsenic acids are rendered
neutral to methyl orange when only one third of the acid has
combined with the base, the end-reaction being well defined.
(Phenolphthalein indicates neutrality when two-thirds of acid
are combined.)
This indicator should not be employed when titrating with
standard solutions which are weaker than decinormal, nor
should it be used in any hot titrations, nor in excessive quan-
tities. Two drops are sufficient for 50 cc. of the fluid to be
titrated, or just enough to give it a faint tint.
,, ,. J carbonates = i?ed
Phenacetolin : { hydroxids = Yellow
acids = Yellow
This indicator is prepared by heating together for several
hours equal molecular weights of phenol, glacial acetic acid,
and sulphuric acid in a vessel provided with a reflux con-
denser. The product is then thoroughly washed with water
to remove excess of acid and dried for use. It is only very
slightly soluble in water, but dissolves readily in alcohol,
forming a greenish-brown solution.
The solution yields with alkali hydroxids a scarcely per-
ceptible pale yellow, but with normal carbonates of the alkalies,
sulphids, and with ammonia it gives a decided pink color;
with bicarbonates a more intense pink, while with acids a
golden yellow.
This indicator is useful for estimating the amount of alkali
or alkali earth hydroxids in the presence of carbonate, unless
the hydroxid is present in too small a quantity. Ammonia
must not be present. The titration is carried out by adding
the acid until a faint red color appears; this indicates that
338 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
the alkali hydroxid or the lime has been neutralized. The
further addition of the acid intensifies the red until the car-
bonate present in the mixture is neutralized, when a golden-
yellow color appears. The proportion of alkali hydroxid must
be far in excess of the carbonate in order to obtain reliable
results; furthermore, considerable practice is required in the
use of this indicator in order to accustom the eye to the color
changes.
A convenient strength of solution is i : loo in alcohol.
Phenolphthalein (C.oH:404): ^'^t^Icl/...
Preparation. Five parts of phthalic anhydrid (C8H4O3),
10 parts of phenol (CeHeOH), and 4 parts of H2SO4 are
heated -together at 120° to 130° C. for several hours. The
product is then boiled with water, and the residue, which
consists of impure phenolphthalein, is dissolved in dilute
soda solution and filtered. By neutralizing this solution the
phenolphthalein is precipitated and may be purified by crys-
tallization from alcohol; or the alcoholic solution may be
boiled with animal charcoal, filtered, and the phenolphthalein
reprecipitated by boiling water.
Uses. Phenolphthalein is a very valuable indicator; is
extremely sensitive, and exhibits a well-marked and prompt
change from colorless to pink, and vice versa. A few drops
of the solution of the indicator show no color in neutral or
acid liquids, but the faintest excess of alkali produces a sudden
change to red.
It may be employed in the titration of mineral and organic
acids and most alkalies, but it is not suited for the titration
of ammonia or its salts. It is very sensitive to CO2, and
therefore in estimating carbonates the liquid must be boiled.
DESCRIPTION OF INDICATORS 339
as with litmus. It is inapplicable for borax, ejJcept in the
presence of glycerin, because the color gradually fades away
as the acid is added. One great advantage which phenol-
phthalein possesses is that its indications may be clearly
read in many colored liquids; another is that it may be used
in alcoholic liquids or in mixtures of alcohol and ether, and
therefore many organic acids which are insoluble in water
may be accurately titrated by its help.
Phenolphthalein T.S. is a one per cent solution in alcohol.
1, ,. f carbonates =B/Mfi
Poirrier Blue (C4B): ''"^'''' j hydroxids ^Red
acids =Blue
This indicator, which is closely allied to Gentian Blue in
properties, is obtained by the action of sulphuric acid on
triphenylrosanilin. It is a blue powder with a coppery luster.
It dissolves in water and in alcohol, yielding blue solutions.
KOH and NaOH change the color to red, but ammonia
decolorizes at. It is employed as an indicator in aqueous
solution 1:500. This indicator is exceedingly sensitive to
acids. Borax and boric acid give a blue color; in the titra-
tion of boric acid the red color does not appear until the acid
is completely neutralized. This indicator is recommended
for the titration of hydrocyanic acid, toward which it is especially
sensitive, the alkaline cyanids are alkaline in reaction to most
indicators, but C4B does not show an alkaline reaction until
the HCN is completely neutralized, and a minute excess of
the alkali hydroxid has been added. C4B is of the character
of a weak acid and its salts are very unstable; they are decom-
posed by water alone when in very great dilution, therefore
the indicator must be used in sufficient quantity. The addition
of a few drops of alcohol facilitates the color change, which
is indeed a very sharp one.
340 THE ESSENTIALS OF VOLUMETRIC ANALYSIS
Resazurin: alkalies =Bto«
acids =Rea
This is a new indicator for alkalimetry, proposed by Crismer.
It is prepared as follows: Dissolve 4 gms. of resorcin in 300
cc. of anhydrous ether and add 40 to 45 drops of nitric acid
(sp.gr. 1.25) saturated with nitrous anhydrid. Allow the
mixture to stand in a cold place for two days, whereupon
a deposit of blackish crystals, having a reddish-brown reflec-
tion, will be formed in the bottom of the vessel. The super-
natant clear red liquid is decanted and the crystals washed
with ether until the washings show a blue color with ammonia
water.
Resazurin (C12H7NO4) is slightly soluble in water, more
so in alcohol and freely soluble in acetic ether. It produces
a blue solution with water, alkalies, and alkali carbonates,
which are turned red upon the addition of a slight excess of
acid. To use this indicator in alkalimetry, Crismer recom-
mends the following solution: Resazurin 0.2 gm. dissolved
m 40 cc. of — ammonia solution, and made up to 1000 cc.
with distilled water.
This is deep blue in color and keeps well. Two or three
drops are sufficient to color 200 cc. of liquid.
This indicator is not suited for the titration of nitric acid
or monobasic organic acids, and it is not very sensitve to
carbonic acid. It is, however, extremely sensitive to alkalies.
If the solution is acidulated to a rose-red color and heated
in a white glass flask, the solution will turn blue through
the alkaline reaction of the dissolved glass before the boiling-
point is reached.
This indicator is especially useful for borax.
DESCRIPTION OF INDICATORS 341
Rosolic Acid (C.0H14O3): ^"'ZZo.
■This compound is also called Aurin and Coralline, and
is prepared as follows:
A mixture of phenol and sulphuric acid is placed upon
a water-bath, and oxalic gradually added, waiting each time
till the evolution of gas ceases, and using less oxalic acid than
is required to attack all the phenol.
In this process the oxalic acid is decomposed into CO,
CO2, and H2O. The CO immediately reacts with the phenol
and forms rosolic acid, as the following equation shows :
3C6H5OH + 2CO = C20H14O3 + 2H2O.
Commercial rosolic acid is a mixture of several derivatives
among them the above, methylaurin C20H16O3 and others.
Commercial poeonin (also known as Aurin R.) [chiefly C19H14O3]
may be used in place of rosolic acid.
Rosolic acid is soluble in diluted alcohol. Its color is
pale yellow, not changed by acid, but turns violet-red with
alkalies.
It is an excellent indicator for the mineral acids and strong
bases, weak ammoniacal solutions, oxalic acid and other or-
ganic acids, except acetic.
The test solution is made by dissolving i gm. of the com-
mercial rosolic acid in 10 cc. of diluted alcohol and then adding
enough water to make 100 cc.
T-«««-.^i:« fr\ni\ ■ alkalies =FeKoa'
Tropaeolm (OO). ^^-^^ ^Yellowish-red
This is used in the form of a solution containing 0.5 gm.
to 1000 cc. of alcohol.
Turmeric Tincture. Digest any convenient quantity of
342 THE ESSENTIALS OT VOLUMETRIC ANALYSIS
ground curcuma-root (from Curcuma longa Linnd, nat. ord.
ScilaminecB) repeatedly with small quantities of water, and
throw this liquid away. Then digest the dried residue for
several days with six times its weight of alcohol and filter.
Turmeric Paper. Impregnate white, unsized paper with
the tinctiu-e and dry it.
The color principle of turmeric is curcumin. It is seldom
used in volumetric analysis, except in the form of turmeric
paper. For high-colored solutions curcumin gives no reaction
with acids, but becomes brown with alkalies. There is another
color principle in turmeric besides curcumin, which is, however,
useless in that it is indifferent to alkalies; it is soluble in water,
and extracted by digestion with water, after which the cur-
cumin is dissolved out with alcohol.
Turmeric paper is especially useful, because of its peculiar
reaction with boric acid, with which it develops a brown color
after drying, and which color, when touched with caustic
soda solution is changed to dark green.
INDEX
PAGE
Acetate, lead 167
— potassium 80
— sodium 81
Acetic acid 100
Acid, acetic 100
— arsenous ig6
decinormal V.S 239
— • — solution of - 197
V.S., use of in reduction 238
— defined 56
— value of fats and oils 275
— boric 100
— chromic 1 73, 230
— citric loi
— hydriodic 100
— hydriodic by sulphocyanate method iig
— hydriodic, syrup of 1 20
— hydrobromic 100, 117
-by sulphocyanate method 117
by Volhard's method 117
using chromate as indicator 117
— hydrochloric ^6
normal 61
action of, on permanganate 142
standardization of '. . 64
standardization by sodium carbonate 63
— hydrocyanic 1 23
using chromate indicator ' 1 24
potassium iodid indicator 1 26
— hypophosphorous 99, 164
— lactic 103
— nitric 99. ii9> 3^5
3-13
344 INDEX
... . PAGE
Acid, nitrous 162
— oxalic jQ,
and oxalates !„
decinormal .' gj
— phosphoric n^
— rosolic ly
— sulphuric ng
normal 64
— sulphurous 100, 200, 202
— tartaric loi
Acidimetry gg
— and alkalimetry 57
Acids, estimation of, by neutralization gg
in salts 104
— haloid 116
— inorganic 5,4
— organic 100
— quantity to be taken for assay g(,
— weighing of, for assay g4
volatile 05
Alcohol, in tinctures and beverages 303
Alcoholometric table 304
Alizarin 32g
Alkali bicarbonates and carbonates mixed yc
— carbonates 68
— hydro xid and carbonate mixed ^3
— hydroxid, standard solution, preservation of no
— hydroxids, estimation g^
— iodids 231
— metals, in their salts ' g3
— standard solutions, preparation of go
Alkali earth hydroxids g4^ gc
and carbonates mixed gy
salts 84, 86, 104
— earths, organic salts of yy
Alkalis combined with non-volatile acids g^
■ with volatile acids 83
^ in presence of sulphites ^j
— organic salts of 76
Alkalimetry jg
— and acidimetry 57
Alkaloids, estimation of 249
INDEX 345
PAGE
Alkaloids, separation of 258
Alum 104
Ammonium bromid 112
— carbonate 71
— chlorid as an impurity in the bromid 113
Ammonia water 67
stronger 68
Amyl nitrite 316
Anions 18
Anthracene violet 329
Antimonic compounds i gg
Antiraonous oxid 198
Antimony compounds ig8
— and potassium tartrate 200
Apparatus, cleaning of 39
— used in volumetric analysis 28
— use of 3g
Arsenic trioxid 196
Arsenite of potassium solution 197
Arsenous acid 196
solution 197
decinormal V.S 239
V.S., use of in reduction 238
— anhydrid 196
— compounds 196
direct percentage assay of 197
— iodid ig7
— oxid 196
standardization of iodine with 190
Atomic weights xii
multiples of xi
Azolitmin 3^8
Barium chlorid 104
— dioxid 15s. 158
— peroxid 158
— soluble salts of 86
Benzoate, sodium 81
Berzelius' system of oxids - 54
Bicarbonate of sodium 71
— of potassium 7°
Bismuth salts 104
346 INDEX
PAGE
Bisulphite, sodium 20,-
Bitartrate, potassium yq
Bleaciiing powder 242
Boric acid loo
Boyle's Law ogg
Brazil wood ,28
test solution 17
Bromates 235
Bromate, potassium 236
Bromid, ammonium 112
Bromids m
Bromin free 218
— V.S ■ 269
— water 223
Burette, automatic 30
— connected with reservoir 31
— clamps 33
— glass stop-cock 29
— holder 33
— Mohr's 28
Burettes, special forms of 44
Burette supports 33
Butter, examination of 279
Calcium carbonate 85, 153
— chlorid 87
— hypophosphite 166
— salts 153, 166
■ — soluble salts of 1 86
Calculating results 48
Calibration of instruments. 45
Calx chlorinata 220
Cane sugar, inverted 288
Carbonate, ammonium 71
— and hydroxid of alkali mixed 73
— calcium 85
-^ of lithium 71
— potassium 69
— of sodium (anhydrous) 71
(crystalllized) 70
— sodium, normal V.S 86
Carbonates and bicarbonates of alkalies, ^xed 1 175
INDEX 347
PAGE
Carbonates and hydroxids of alkali earths, mixed 87'
— of alkalies 68
— soluble, assay of b\' tlie use of the nitrometer 322
Cathions 18
CiB 339
Centinormal solutions 10
Charles' Law 309
Chlorate potassium 236
Chlorates 234
Chlorid, barium 104
— calcium 87
— ferric 237
— of lime 220
— sodium 112
V.S 108
Chlorids iii
Chlorin, in bleaching powder 242
— in chlorin water 241
— free 218
— water 218
Chlorinated lime 220
■ — soda solution 222
Chloiometry 238
Chromates 167, 210, 224, 230
Chromic acid i73. 230, 234
— anhydrid 230
— oxids 174
Chromium trioxid 230
Chrdmophoric theory 20
Citrate lithium 81
— potassium 80
Citric acid i°i
Cobalt salts i°4
Cochineal i7.- 3=9
Coefficients for calculating analyses 51
Cold way, titration 69
Congo red 329
Copper, Fleitmann's method 177
Cream of tartar 79
Cyanid potassium 127
Cyanogen '^i
Cylinder, graduated 38
348 INDEX
PAGE
Decinormal solutions lo
Diastasic value of malt extract 293
Bichromate, potassium 230
analysis by means of 178
preparation of V.S 179
Digestion methods 233
Dioxid, hydrogen 223
— manganese 228, 234, 243
Direct percentage estimations 48
— ■ table of quantities for 102
Dissociation theory 18
Distillation methods 224
Double normal solutions 10
Eau de Javelle 222
Elements, list of xii
Empirical permanganate solutions, use of 144
— solutions II
End-reaction 16
Eosin 17
Erdmann's float 43
Erythrosin B 331
Factors 51
Fats, waxes and oils 275
Fehling's solution 287
end-point 290
Ferric alum solution 119
— chlorid i6o,*237
— salts 210, 234, 237
estimation of by means of permanganate 159
reduction of 159
Ferrous ammonium sulphate 140
■ — carbonate saccharated 149, 183
— iodid, syrup of ' 120
— salts 181
— sulphate 148, 185
Ferrum reductum 150
Flask, liter 37
— measuring 37
Flasks, titration 3$
Fluorescein 18
INDEX 349
PAOE
Formaldehyde. 295
Free fatty acids 275
Galenical preparations 263
Gallein 329
Gasometric analyses 307
Gay-Lussac's method for haloid salts T 115
General methods of assaying drugs 261
General principles 4
Glucose 288
Gordin's modified alkalimetric assay 255
Gravimetric method, the i
Grethan's pipette 95
Grouvelle's bleaching fluid 222
Hsematoxylin 330
Halogens, free 240
Haloid acids 116
— salts no
estimation of with chromate as an indicator no
Mohr's method no
Helianthin 335
Hot way titrations 68
Hiibl's number 283
Hydriodic acid 100, 119
syrup 120
Hydrobromic acid 100, 117
Hydrochloric acid 9^
— -^ action of, on permanganate 142
normal 61
standardization of 63
Hydrocyanic acid.. 123
Hydrogen dioxid 155. 223, 317
Hydrogen sulphid 205
Hydroxid and carbonate of alkali mixed 73
of alkali earths, mixed 87
— potassium 66
— potassium normal V.S 9°
— sodium "7
normal V.S 93
Hydroxids, alkali, estimation 64
. — of alkali earths S4
350 INDEX
PAOE
Hydroxids, sodium and potassium mixed yj
Hypobromite solution for urea estimation 323
Hypochlorite 222
Hypophosphite, calcium 166
Hypophosphites 164
Hypophosphorous acid gp, 164
Hyposulphite, sodium 205
V.S. preparation of 211
Immiscible solvents 258
Indicator 16, 59
Indicators, classification of 24
— description of individual 328
— guide for the selection of 26
Indicator, requirements of a good 26
— sensitiveness to alkaloids 268
— theories of 20
Indirect oxidation, analysis by - 187
Inorganic acids 94
Instruments, calibration of 45
Introduction i
Inverted cane sugar 288
lodates 234
lodeosin 331
lodid, arsenous 197
— ferrous syrup of 1 20
— potassium ' 114
• — strontium 121
— zinc - 121
lodids Ill
— alkali 231
lodin, free 216
— purification of 188
— tincture 214
— titrations, use of sodium bicarbonate in '. 193
Iodine absorption number 283
— V.S. preparation of 188
Iodized starch test paper 240
lodometry 210
lodometiic estimationsj indirect 217
Ionization theory 18
Ions 18
INDEX 3,-)l
PAOE
Iron, estimation of by stannous chlorul 245
— reduced 207
Javelle's water 222
Katz's method 261;
Kebler's- Keller method 261
Kingzett's method 223
Knop's hypobromite solution , 324
Kappeschaar's solution 269
Kottstorter number 2^6
Labarraque's solution 222
Lacmoid 331
Lacmus 333
Lactic acid 103
Lactose 288
Law of Boyle 309
— of Charles 309
Lead acetate 167
— peroxid 234
— salts 104
— subacetate 167
Lime, chlorid of 220
— chlorinated 220
Liter flasks 37
Lithium carbonate 71
— citrate 81
— organic salts of 77
Litmus 333
— tincture of 17
Lloyd's method 263
Lugol's solution 217
Lunge's pipette 95
Magnesium salts 86, 104
— sulphate, use of in permanganate titrations 143
Malt extract, diastasic value of 293
maltose in 291
Maltose 288
Mandarin-orange -" 33s
Manganates 2io> 224
Manganese dioxid , if'8, 228, 234, 243
352 INDEX
PAGE
Manganous sulphate, use of in permanganate titrations 143
Measuring flask 37
Meniscus 42
Mercuric chlorid V.S., estimation of alkali iodids by 130
— salts 247
— sulphate, use of, in permanganate titrations 143
Methyl orange 17, 335
Mohr's burette 28
— salt 140
Multiples of atomic weights xiii
Neutralization analysis ; 36
— of acids 88
Nickel salts 104
Nitrate, silver V.S 106
Nitrates,, nitric acid in 315
— Pelouze method 169
Nitric acid 99, 119, 315
Nitrite, amyl 316
— ethyl 316
— sodium 314
Nitrites 162, 311
Nitrogen dioxid 316
Nitrometer, the 307
Nitrous acid 162
— ether 311
Normal oxalic acid : - ■ - 60
— solutions 7
Orange, methyl 335
Oils, fats and waxes 275
— iodin absorption number of 283
— table showing iodin absorption number of 286
Organic acids 100
■ — salts of alkalies , 76
of the alkalies, table of fa,ctors for 82
of alkali earths 77
of lithium 77
Oxalic acid 103
and oxalates 151
decinormal 61
normal solution 60
INDEX 353
PAGE
Oxalic acid, standardization of permanganate by 138
Oxid, antimonous 197
— arsenous ig6
Oxidation and reduction 133
— indirect analysis by 187
Oxy-chlor-diphenyl-quinoxalin 335
Paranitrophenol 22
Percentage rules for direct estimations 48
Permanganate, action of hydrochloric acid on 142
— potassium V.S 135
— solutions, empirical 144
— titration with in presence of hydrochloric acid 143
— typical analysis with 148
— volumetric analysis by means of 140
Peroxid, lead 234
Peroxids 210, 224
Phenacetalin -^337
— in estimating mixed alkali hydroxid and carbonate 74
Phenol 269
Phenolphthalein 17, 338
Phosphoric acid 97
Pinch cocks 32
Pipettes 33
Poirrier blue 339
use of in cyanogen assay 123
Poirrier's orange iii 335
Potassium acetate 80
— aisenite solution 197
— bicarbonate 70
— bi-iodate, advantages of for standardizing V.S 93
preparation of 93
— bitartrate 79
purification of 92
— bromate 236
— carbonate 69
— chlorate 236
— chromate T.S 18
— citrate 80
— cyanid 127
— dichromate 230
— ferricyanid T.S 18
354 INDEX
PAGE
Potassium hydroxid 66
normal V.S no
— iodid 114
— permanganate V.S i ^r
— sulphite 1 204
— sulphocyanate V.S ion
— tartrate -j-j
— and sodium hydroxids mixed yc
tartrate.
79
Precipitation analysis 105
Preparation of normal oxalic acid solution 60
— of standard acid solutions en
Prollius' fluid 258
Puckner's method 262
Pyrogallol-phthalein 329
Ramsay's bleaching fluid 222
Reading of instruments 41
Reduced, estimation of substances readily 209
— iron .' 150, 207
Reducing agents 209
— sugars 288
Reduction and oxidation analysis 133
— methods, involving the use of arsenous acid V.S 238
stannous chlorid 244
Reichert number 277
Reichert-Meissl number 278
Resazurin 340
Residual titration ■ 15
Re-titration 15
Rochelle salt 79
Rosolic acid 17, 341
Rules for direct percentage estimations 48
— for finding percentage 52
Salicylate, sodium 81
Saponification number 276
Seminormal solutions 10
Separators 259
Shaking-out process for alkaloids 258
Silver alloys 129
— metallic , 1 29
INDEX 355
PAGE
Silver nitrate, assay of by means of sodium chlorid V.S 128
sulphocyanate 129
V.S 106
— salts 127
Soda, clilorinated 222
Sodium acetate 81
— and potassium hydroxids mixed 75
tartrate i . 79
— benzoate 81
— bicarbonate 71
• use of in titrations with iodin '. 193
— bisulpiiite 205
— carbonate (aniiydrous) 71
(crystallized) 7°
normal V.S 86
pure, liow to make 86
— chlorid 112
— — preparation of pure 108
V.S 108
— hydroxid 67
V.S 93
— hyposulphite 205
V.S., preparation of 211
— nitrite 3^4
— salicylate 81
— sulphite 204
— tetrazo-diphenyl-naphthonate 3^9
— thiosulphate 2°S
V.S., preparation of 211
Spirit of ammonia 68
— of nitrous ether - 3"
Squibb's hypobromite solution 3^4
Standard solutions 7
— temperature ^3
Stannous chlorid, estimation of iron by means of 245
solution, preparation of 245. 248
use of in reduction methods 244
Starch =88
— as an indicator '92
— after inversion 291
— inversion by diastase 292
— iodized, test paper 240
356 INDEX
PA.GE
Starch solution 102
Stating results ,■■,
Strontium iodid 121
— soluble salts of 86
Subacetate, lead i(,y
Sugars 287
Sugar in urine 289
Sulphid, hydrogen 205
Sulphids, insoluble 206
Sulphuric acid g(,
normal 64
Sulphites, estimation of alkalies in presence of 75
Sulphite, potassium 204
— sodium 204
Sulphites 200
Sulphocyanate, potassium V.S 109
— V.S., assay of silver nitrate by 1 29
Sulphurous acid 100, 200, 202
Syrup of hy driodic acid 1 20
Table, alcoholometric 304
— for correction of volume for the temperature 41
— of elements xii
— of factors of organic salts of the alkalies 82
— of normal factors for acids, alkalies and alkali earths 53
— or normal factors for oxids, etc 55
— of multiples xiii
— of quantities for direct percentage estimations 102
— of substances estimated by standard iodin solution 209
precipitation 131
permanganate and dichromate 186
— showing color changes of indicators 254
factors for alkaloids 254
iodin absorption number of oils 286
Tartar, cream of 79
— emetic 200
Tartaric acid loi
Tartrate, antimony and potassium 200
— potassium. 77
— sodium and potassium 79
Temperature, standards of 13
Test mixer 38
INDEX 357
PAGE
Tetra-iodo-fluorescein 331
Theories of indicators 20
Theory, chromophoric 20
— ionization of indicators 20
— of Ostwald 20
Thiosulphate sodium 205
V.S., estimations involving use of 210
preparation of 211
— standardization of iodin with 189
— V.S., standardization of by dichromate 212
of by potassium bi-iodate 214
of by iodin 211
of by permanganate 216
Tin, Lowenthal's method 176
Titrate, to 14
Titrated solution 7
Titration, influence of concentration of V.S 40
of rate of speed ,. 40
of temperature 40
— residual ' 15
Titer 7
Tropaeolin D 335
— (O O) 341
Turmeric i?
— paper 342
— tincture 34^
Urea apparatus, Squibb's 325
— estimation of by Doremus' ureometer 323
Ureometer, Doremus' 323
— Hinds-Doremus' 3^5
Urine, sugar in 289
Valence '2
Vegetable drugs, assaying of 257
Vielhaber's method for cyanogen 1 24
Violet, anthracene 329
'Volatile acids, vi^eighing of 95
— fatty acid, value 277
— solvents, influence of in alkaloidal assays 268
Volhard's solution 109
Volume strength of hydrogen dioxid 157
358 INDEX
PAGE
Volumetric method, the -^ 2
— or standard solutions 7
Wilson's bleaching fluid 222
Zinc iodid 121
— salts 104
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3 00
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3 00
3 00
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3 00
3 50
1 00
3 00
1 50
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Wehrenfennig's Analysis and Softening of Boiler Feed-water, (Patterson.)
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MINERALOGY.
* Browning's Introduction to the Rarer Elements Svo, 1 50
Brush's Manual of Determinative Mineralogy. (Penfield.) Svo, 4 00
Butler's Pocket Hand-book of Minerals 16mo, mor. 3 00
Chester's Catalogue of Minerals Svo, paper, 1 00
Cloth, 1 25
* Crane's'Gold and Silver Svo, 5 GO
Dana's First Appendix to Dana's New "System of Mineralogy". .Large Svo, 1 00
Dana's Second Appendix to Dana's New " System of Mineralogy."
Large Svo, 1 50
Manual of Mineralogy and Petrography 12mo, 2 00
Minerals and How to Study Them 12mo, 1 50
System of Mineralogy Large Svo, half leather, 12 50
Text-book of Mineralogy Svo, 4 00
Douglas's Untechnical Addresses on Technical Subjects 12mo, 1 00
Eakle's Mineral Tables Svo, 1 25
* Eckel's Building Stones and Clays Svo, 3 00
Goesel's Minerals and Metals: A Reference Book 16mo, mor. 3 00
* Groth's The Optical Properties of Crystals. (Jackson.) Svo, 3 50
Groth's Introduction to Chemical Crystallography (Marshall) 12mo, 1 26
* Hayes's Handbook for Field Geologists 18mo, mor. 1 50
Iddings's Igneous Rocks Svo, 5 00
Rock Minerals 8vo, 5 00
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Johannsen's Determination of Rock-forming Minerals in Thin Sections. 8vo,
With Thumb Index S5 00
* Martin's Laboratory Guide to Qualitative Analysis with the Blow-
pipe ' . . 12mo, 60
MerriU's Non-metallic Minerals: Their Occurrence and Uses 8vo, 4 00
Stones for Building and Decoration 8vo, 5 00
* Penfield's Notes on Determinative Mineralogy and Record of Mineral Tests.
Svo, paper, 50
Tables of Minerals, Including the Use of Minerals and Statistics of
Domestic Production Svo, 1 00
* Pirsson's Rocks and Rock Minerals 12mo, 2 50
* Richards's Synopsis of Mineral Characters 12mo, mor. 1 25
* Ries's Clays : Their Occurrence, Properties and Uses Svo, 5 00
* Ries and Leighton's History of the Clay-working inaustry of the United
States Svo, 2 50
* Rowe's Practical Mineralogy Simplified 12mo, 1 25
* Tillman's Text-book of Important Minerals and Rocks Svo, 2 00
Washington's Manual of the Chemical Analysis of Rocks Svo, 2 00
MINING.
* Beard's Mine Gases and Explosions Large 12mo, 3 00
* Crane's Gold and Silver ■. Svo, 5 00
* Index of Mining Engineering Literature Svo, 4 OQ
* Svo, mor. 5 00
* Ore Mining Methods Svo, 3 00
* Dana and Saunders's Rock Drilling Svo, 4 00
Douglas's Untechnical Addresses on Technical Subjects 12mo, 1 00
Eissler's Modem High Explosives Svo, 4 GO
Goesel's Minerals and Metals: A Reference Book 16mo, mor. 3 00
Ihlseng's Manual of Mining Svo, 5 00
* Iles's Lead Smelting 12mo, 2 50
* Peele's Compressed Air Plant . Svo, 3 50
Riemer's Shaft Sinking Under Difficult Conditions. (Coming and Peele.)Svo, 3 00
* Weaver's Military Explosives Svo, 3 00
Wilson's Hydraulic and Placer Mining. 2d edition, rewritten 12mo, 2 50
Treatise on Practical and Theoretical Mine Ventilation 12mo, 1 25
SANITARY SCIENCE.
Association of State and National Food and Dairy Departments, Hartford
Meeting, 1906 Svo,
Jamestown Meeting, 1907 Svo,
* Bashore's Outlines of Practical Sanitation; 12mo,
Sanitation of a Country House 12mo,
Sanitation of Recreation Camps and Parks 12mo,
* Chapin's The Sources and Modes of Infection Large 12mo,
Folwell's Sewerage. (Designing, Construction, and Maintenance.) Svo,
Water-supply Engineering Svo,
Fowler's Sewage Works Analyses 12mo,
Fuertes's Water -filtration Works 12mo,
Water and Public Health 12mo,
Gerhard's Guide to Sanitary Inspections 12mo,
* Modem Baths and Bath Houses Svo,
Sanitation of Public Buildings 12mo,
* The Water Supply, Sewerage, and Plumbing of Modem City Buildings.
Svo,
Hazen's Clean Water and How to Get It Large 12mo,
Filtration of Public Water-supplies Svo,
* Kinnicutt, Winslow and Pratt's Sewage Disposal Svo,
Leach's Inspection and Analysis of Food with Special Reference to State
Control Svo,
Mason's Examination of Water. (Chemical and Bacteriological) 12mo,
Water-supply. (Considered principally from a Sanitary Standpoint).
Svo,
* Mast's Light and the Behavior of Organisms Large 12mo,
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* Merriman's Elements of Sanitary Engineering 8vo, S2 00
Ogden's Sewer Construction 8vo, 3 00
Sewer Design 12mo, 2 00
Parsons's Disposal of Municipal Refuse 8vo, 2 00
Prescott and Winslow's Elements of Water Bacteriology, with Special Refer-
ence to Sanitary Water Analysis 12mo, 1 50
* Price's Handbook on Sanitation 12mo, 1 50
Richards's Conservation by Sanitation 8vo, 2 50
Cost of Cleanness 12mo, 1 00
Cost of Food. A Study in Dietaries 12mo, 1 00
Cost of Living as Modified by Sanitary Science 12mo, 1 00
Cost of Shelter 12mo, 1 00
Richards and Woodman's Air, Water, and Food from a Sanitary Stand-
point 8vo, 2 00
* Richey's Plumbers', Steam-fitters', and Tinners* Edition (Building
Mechanics* Ready Reference Series) 16mo, mor. 1 50
Rideal's Disinfection and the Preservation of Food 8vo, 4 00
Soper's Air and Ventilation of Subways 12mo, 2 50
Tumeaure and Russell's Public Water-supplies 8vo, 5 00
Venable's Garbage Crematories in America 8vo. 2 00
Method and Devices for Bacterial Treatment of Sewage 8vo, 3 00
Ward and Whipple's Freshwater Biology. (In Press.)
Whipple's Microscopy of Drinking-water 8vo, 3 50
* Typhoid Fever Large 12mo. 3 00
Value of Pure Water Large 12mo, 1 00
Winslow's Systematic Relationship of the Coccaceee Large 12mo, 2 50
MISCELLANEOUS,
* Burt's Railway Station Service 12mo, \ 2 00
* Chapin's How to Enamel 12mo. 1 00
Emmons's Geological Guide-book of the Rocky Mountain Excursion of the
International Congress of Geologists , Large 8vo, 1 50
Ferrel's Popular Treatise on the Winds 8vo, 4 00
Fitzgerald's Boston Machinist 18mo, 1 00
* Fritz, Autobiography of John 8vo, 2 00
Gannett's Statistical Abstract of the World 24mo, 75
Haines's American Railway Management 12mo, 2 50
Hanausek's The Microscopy of Technical Products. (Winton) 8vo, 5 00
Jacobs's Betterment Briefs. A Collection of Published Papeifs on Or-
ganized Industrial Efficiency 8vo, 3 50
Metcalfe's Cost of Manufactures, and the Administration of Workshops.. 8vo, 5 00
* Parkhurst's Applied Methods of Scientific Management 8vo, 2 00
Putnam's Nautical Charts 8vo, 2 00
Ricketts's History of Rensselaer Polytechnic Institute 1824-1894.
Large 12mo. 3 00
* Rotch and Palmer's Charts of the Atmosphere for Aeronauts and Aviators.
Oblong 4to, 2 00
Rotherham's Emphasised New Testament Large 8vo, 2 00
Rust's Ex-Meridian Altitude, Azimuth and Star-finding Tables 8vo 5 00
Standage's Decoration of Wood, Glass, Metal, etc 12mo 2 00
Thome's Structural and Physiological Botany. (Bennett) 16mo, 2 25
Westermaier's Compendium of General Botany. (Schneider) 8vo, 2 00
Winslow's Elements of Applied Microscopy 12mo, 1 50
HEBREW AND CHALDEE TEXT-BOOKS.
Gesenius's Hebrew and Chaldee Lexicon to the Old Testament Scriptures.
(Tregelles.) Small 4to, half mor, 5 GO
Green's Elementary Hebrew Grammar 12mo 1 25
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