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l««M»»»« g>tate CoIIese of aisriculturc at Cornell iHnibersitp Stbaca. M. S- iCifirarp QD 1 1 1 .S32 "°" ""'"""^ '■""■"^ 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 Short-title Catalogue OF THE PUBLICATIONS OF JOHN WILEY & SONS New York London: CHAPMAN & HALL, Limited ARRANGED UNDER SUBJECTS Descriptive circulars sent on application, Boeks marked with an asterisk (*) ar« sold at net prices only. 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