Robert W. Woodruff Library Kelly Miller Library EMORY UNIVERSITY Special Collections & Archives QUANTITATIVE CHEMICAL ANALYSIS by H. G. SGURLOGK, A. M„ M. D„ PROFESSOR OF CHEMISTRY, HOWARD UNIVERSITY copyright, 1915 WASHINGTON, D. G. Beresford, Pr., 605 F Street 1915 FOREWORD. The author, in preparing this book for his pupils, has had in mind the purpose of supplying an elementary course for those students who wish to extend their knowledge of general chemistry beyond the courses in Inorganic Chemistry and Qualitative Analysis, so as to include Quantitative Analysis, and especially for those who wish to prepare for further work, or to enter the Medical, Dental and Phar¬ maceutical Colleges. The exercises contained herein are intended to give practice in the common examples of determinations by gravimetric and volumetric methods. The plan of the book is in accordance with the lecture course which has been designed, and a great deal has been left for consideration in the class room. The student will be constantly referred to his text-books on Inorganic Chemistry and Qualitative Analysis, and the larger text-books on Quantitative Analysis included in the following list: Olsen, "Quantitative Analysis," Fresenius, "Quantitative Analysis," Morse, "Quantitative Chemistry," Treadwell and Hall, "Analytical Chemistry, Vol. II," Clowes and Coleman, "Quantitative Analysis," Sutton, "Handbook of Volumetric Analysis." Attention is directed to the importance of Quantitative Analysis to the general subject of Chemistry and its large application in the in¬ dustrial world. It covers an extensive field, and a proper knowledge of the subject can be gained only by large laboratory experience and careful reading of the literature. Cleanliness, order, promptness and accuracy in making notes, and the recording of things just as they are found, even if they should vary from expected results, are absolutely essential in any kind of experimental work. CONTENTS. Section I. General Principles. PAGE. Chapter I. Introduction. Apparatus i Chapter II. Stoichiometry 18 Section II. Gravimetric Analysis. Chapter III. General Operations 25 Chapter IV. Gravimetric Exercises 37 Chapter V. Electrolytic Methods 48 Section III. Volumetric Analysis. Chapter VI. General Principles 52 Chapter VII. Acidimetry and Alkalimetry 59 Chapter VIII. Oxidizing Reactions 65 Chapter IX. Iodimetry 70 Chapter X. Silver Nitrate and Potassium Sulphocyanate Titrations 73 Chapter XI. Colorimetric Methods 75 Section IV. Chapter XII. Miscellaneous Analysis 78 Index 87 QUANTITATIVE CHEMICAL ANALYSIS. SECTION I. GENERAL PRINCIPLES. Chapter I. Introduction. Apparatus. Quantitative Analysis comprises, in two general meth¬ ods,—gravimetric and volumetric,—the determination of the quantity of one or more of the constituents of the sub¬ stance analyzed ; as, the amount of an element in a com¬ pound, of a metal in an ore, of a given substance in an impure sample, of an acid or other substance in solution, etc. In the gravimetric method, a weighed portion of the substance to be analyzed is put into solution and the components to be determined are precipitated and isolated in the form of some pure compound of known constitution. The amount of the new compound is found by direct weighing, and from this weight the substance sought is found by calculation. A volumetric determination is accomplished without the isolation and weighing of an insoluble product. A known amount of the substance to be analyzed, in solution, is treated with a test solution which contains a known amount of the test reagent. The volume of the test solution required to complete a reaction with a given volume of the solution analyzed furnishes the basis for calculation of the quantity of the substance sought. The completion of the reaction is shown by an indicator,—a substance added to the solution tested, which by a color change, indicates t e 2 quantitative chemical analysis. end-point; e. g., the neutralization of an alkaline solution by an acid is indicated by the change of color of litmus, phenolphthalein, etc. Materials used in quantitative analysis must be weighed and measured with as great a degree of accuracy as possible ; hence, there are especially required (i) analytical balances, sensitive to small differences of weight; (2) weights, ac¬ curately calibrated ; (3) measuring vessels, correctly gradu¬ ated. THE BALANCE. Construction and Use.—The analytical balance is illus¬ trated in Fig. 1. Upon examination of a balance the student will have no difficulty in recognizing the fol¬ lowing parts, and should endeavor to early learn their functions : beam, post, knife edges, stirrups, hangers, pans, QUANTITATIVE CHEMICAL ANALYSIS. 3 graduated scale, pointer, rider carrier, beam release and pan arrests. The balance is enclosed in a glass case to prevent accumulation of dust and to avoid draughts of air while weighing. By placing a drying agent within the case the air may be kept reasonably free from excessive moisture which might, if present, be condensed on substances while being weighed. Errors in analytical work cannot be properly charged against the balances used, but rather against the improper use of them and carelessness. The balance is put in adjustment by an instructor and should not be tampered with by the student until he is sufficiently familiar with it to make slight adjustments, and only then after an instructor has given permission to make them. Observe the following directions for using the balance Sit or stand directly in front of the balance so as to avoid errors of parallax while observing the movements of the pointer over the graduated scale. Dust off the pans with a camel's hair brush, but avoid giving them a rotary motion. Keep the balance closed while weighing. Do not weigh a hot object. Do not weigh chemicals directly on the scale pans. Weigh them on a tared watch glass or in a weighing bottle. Keep beam and pans in arrest except during the actual operation of weighing. Avoid jarring the balances at any time. If they are placed on a table take care not to lean on it while weighing, and at no time use the table to rest substances upon while pounding them. WEIGHTS. Construction and Use. — Analytical weights are grad¬ uated in denominations of the metric system, usually stamped in grams and milligrams. The gram denomina- 4 QUANTITATIVE CHEMICAL ANALYSIS. tions are made of brass, while the fractional ones (milli¬ grams) are made of platinum. Ordinary weights are lacquered or nickel-plated ; higher grade weights are plated with gold or platinum. Only the highest grade of weights conform closely to the masses stamped on them, and it is necessary with all weights to ascertain by comparison with a standard the amount of error which may be present. The errors should be recorded and the weights which vary from the correct mass should be marked with light prick-punch marks for identification. Weights of the lower grades show a considerably greater variation from the correct mass, and every such set should be calibrated before being used, at least one of them being compared with a standard, and then the relation of all the members of the set found. It will be understood from this why it is necessary that the weights from one box should not become mixed with those from another. Handle all weights with pincets ; never with the fingers, and familiarize yourself at once with the denominations, and arrangement of the weights in your box. The Rider.—The rider is a piece of platinum wire so formed that it may be conveniently lifted by the rider- carrier and placed at any position along the graduated beam. The beam is usually divided into 5, 6, 10 or 12 large divisions, each of which is subdivided into 10 small divisions. Riders whose weights correspond to the number of large graduations on the beam will indicate at the extreme end graduation their weight in milligrams, and the value of each small division will be one-tenth milligram. Usually the rider is used to obtain equilibrium when a weight under 10 milligrams is required. In Fig. 2 is illustrated the graduated beam, divided into 60 equal divisions, with a six-milligram rider indicating a weight of 3.7 milligrams. Zero Point.—The zero point is the point on the graduated quantitative chemical, analysis. 5 scale over which the pointer would finally come to rest when the beam is swinging free, and should be very close to the middle graduation. It seldom coincides exactly Fig. 2.—Graduated end of beam showing use of rider. with the middle graduation. It is essential to any weigh¬ ing operation that the zero point be known ; otherwise one could not know when the balance is in equilibrium. The first thing to do, then, before weighing, is to find the zero point. Exercise I. Determination of the Zero Point of a Balance. Release the pans and then the beam with a slow, steady motion of the hand. If the beam does not start swinging at once, cause it to do so by gently fanning with the hand or a piece of paper. Close the door of the balance and observe the amount of swing of the pointer on each side of the middle graduation on the ivory scale. After the first few swings record the readings on each side of the middle graduation, making the last reading on the same side as the first. Example, Left 3.8 divisions 3.6 M " 3)10.8 3.6, mean swing to left. Right 3.4 divisions 3. ° " 2)6.4 3.2, mean swing to right. 6 QUANTITATIVE CHEMICAL ANALYSIS. ^= .2, gives the zero point as .2 of a division to the left of the middle graduation. It will often be found necessary to estimate fractional parts of a scale division by the eye. This may be facilitated by the use of a magnifying glass before the ivory scale. Sensibility.—By the sensibility of a balance is meant the amount of deviation of the zero point, measured in scale divisions, caused by an excess weight of one milligram added to one of the pans. The amount of this deviation will vary, generally, with varying loads, and should be found for different masses up to the limit of capacity. Knowledge of the sensibility of a balance facilitates "weighing operations. The more sensitive the balance the more nearly can the exact mass of an object be obtained. For ordinary analytical purposes a balance which shows a sensibility of .i milligram with full load is sufficiently sensitive. Balances are constructed to carry a certain maximum load which should never be exceeded, for in such cases the beam is deflected and the weighing incorrect. Exercise II. Determination of the Sensibility of a Balance. With the pans empty, add a weight of one milligram to the right-hand pan, or place the rider at the one-milligram division on the beam. Find the zero point. The number of scale divisions of the displacement from normal zero is the sensibility with no load. Then find the sensibility for loads of 5, 10, 15, 20, 30, 40, 50, 60, 75 and 90 grams, by placing weights of these denominations in each pan and adding the excess weight of one milligram to the right- hand pan. If it should be found that two weights of the same denomination do not have the same mass, put the lighter into the right-hand pan and bring the balance into equilibrium with the rider. Record all findings in your note book. QUANTITATIVE CHEMICAL ANALYSIS. 7 Weighing.—An object is weighed when it is exactly counterbalanced by a known mass. When a substance is weighed in the air its true weight is not found because of the difference due to the buoyancy of the air, hence it weighs less in air than it would in a vacuum. Weighings are reduced to vacuum values as follows : Divide the air weight of the object by its specific gravity, and the air weight of the weights by the specific gravity of the metal of which they are made (brass), to find the cc. of air displaced by them. Multiply the difference between the cc. of air displaced by the object and by the weights by the density of air at the temperature and pressure of the determination. This will give the amount in grams to be added to the air weight of the object. Exercise III. Determination of the Weight of an Object. Place a suitable object, e. g., a small beaker, on the left- hand pan, and on the right-hand pan place weights sup¬ posed to be about equal to it. Slowly release the balance, pans first and then the beam, until it is seen which way the pointer swings, and then as slowly arrest it again. Add or remove weights as may be required until equilibrium is nearly reached. Use the rider for differences of weight under ten milli¬ grams, moving it along the beam to right or left as required. In the same manner as under determination of the zero point, determine the position at which the pointer would now come to rest, by observing the amount of swing on each side of the zero point already established, making, as before, the last reading on the same side as the first. As an illustration of how to arrive at the correct weight of an object, suppose the weights in the pan amount to 16.520 grams, and that the rider indicates 3.7 milligrams ; also, suppose that the point of equilibrium now is 6 divis- 8 QUANTITATIVE CHEMICAL ANALYSIS. ions to the left, and that the sensibility of the balance, previously ascertained, is 5 divisions for 1 milligram. According to the supposition of the example the zero point is .2 of a division to the left; therefore, the present devia¬ tion is 5.8 divisions, and since 1 milligram causes a dis¬ placement of 5 divisions it is evident that 5.8 divisions represent a difference of 1.16 milligrams, and the weight is too great by this amount. Then from 16.5237 gms. (16.520 + .0037) there must be subtracted .00116 gm. giving 16.52254 gms., the air-weight of the object. The proper way to count the weights on the pan is to first record in the note book the weights missing from the box and check them when replacing. The record may be made as follows : Gms. Mg. 10 5 500 020 0037 (rider) 16 5237 (Zero, .2, left; displacement, 6, left; correction, 5.8, = — .00116 gm. Correct weight, 16.52254 grams.) MEASURING VESSELS. Measuring vessels consist of cylindrical or conical grad¬ uates, volumetric flasks, burettes, and pipettes, graduated in cubic centimeters ; the latter three forms of vessels are shown in Fig. 3. Graduates.—The graduates ordinarily found in the lab¬ oratory are not intended to be used in making accurate measurements. The conical form is not intended at all to be used for such purposes. Cylindrical graduates are sometimes graduated to contain accurate quantities. The U. S. Bureau of Standards accepts for standardization QUANTITATIVE CHEMICAL, ANALYSIS. 9 "only cylinders graduated to contain. The inside diameter of cylinders must not be more than one-fifth the graduated length." A T=f JtO. /31f Conta-ins 1000CC ao°C M*7 cc wc -&■ -33- / \ 10 CC 2JfC US'Sec. \ J Fig. 3.—Volumetric flasks, burette, transfer pipette and measuring pipette. (CC\ ZOt -m IO QUANTITATIVE CHEMICAL ANALYSIS. Flasks.—Volumetric flasks are made to contain or to deliver accurate quantities of liquids. If only one mark is found around the neck without other indication it means, usually, that the flask when filled to the mark will contain the quantity of liquid engraved on the body of the vessel. If there are two marks it will deliver the amount engraved on the flask when filled to the upper mark. All graduated vessels are calibrated at a given temperature which is also engraved on them and is the temperature at which liquids are to be measured for accurate results. The temperature used by the U. S. Bureau of Standards and in most laboratories in this country is 20° C. Transfer Pipettes.—Transfer pipettes are made to deliver the amount of liquid engraved on the body of the instrument. They are used by sucking the liquid up into the instrument, well above the mark; the upper end is closed with the finger and the excess liquid allowed to run out by slightly releasing the pressure of the finger so as to admit a small stream of air. When the liquid has run down to the mark the upper end of the pipette is again tightly closed with the finger. The liquid is then run into the vessel to which it is to be transferred, the lower end of the pipette being held against the side of the receptacle and allowed to drain for several seconds after the liquid seems to cease flowing. There will always be a portion of the liquid remaining in the pipette. Do not blow this out into the vessel; the correct amount has been delivered when the instrument has drained itself as far as it will by gravity. Measuring Pipettes.—Measuring pipettes are used to deliver any quantity up to their capacity in cubic centi¬ meters or fractional parts of a cubic centimeter. Burettes.—The chief use of the burette is for the ad¬ dition of the test solution in titrations in volumetric analysis; but it may be also used for the accurate meas¬ urement of liquids. For most purposes a burette having a graduated capacity of 50 cc. is suitable, though instru- quantitative; chemical analysis. II ments of 25 cc. are also much used. The cc. divisions are divided into fifths and tenths, and by estimation may be read to hundredths of a cc. The tip of some burettes is a separate piece of glass tubing drawn to a proper sized outlet and attached to the main instrument by a short piece of rubber tubing kept closed by a pinch-cock. Such instruments will not answer for use with liquids which attack rubber, and when reagents of this kind are used the rubber-tipped burette should be replaced by a glass-stoppered one. The burette is to be held in a vertical position in a burette clamp, and filled well above the zero mark with the liquid to be measured ; then the liquid is slowly and carefully run out until its level at the lower part of- the meniscus coin¬ cides with the zero mark. Before beginning a measurement from the burette, or a titration, the drop of liquid adhering to the tip of the instrument should be removed with a piece of filter paper or a glass rod. When transferring a measured portion of liquid, the last adhering drop is removed by bringing the wet surface of the vessel in contact with the drop, or it is removed with a glass rod. Method of Reading Burettes.—It is important in reading the level of liquids in measuring vessels that the eye be brought in a direct line of vision with the mark so as to avoid the errors due to parallax. The following instruc¬ tions are issued by the U. S. Bureau of Standards : " In all apparatus where the volume is limited by a meniscus the reading or setting is made on the lowest point of the meniscus. In order that the lowest point may be observed it is necessary to place a shade of some dark material immediately below the meniscus, which renders the profile of the meniscus dark and clearly visible against a light background. A convenient device for this purpose is a collar-shaped section of thick black rubber tubing, cut open at one side and of such a size as to clasp the tube firmly." Unless measuring vessels have already been standard- 12 QUANTITATIVE CHEMICAL ANALYSIS. ized they should be calibrated before use, and the various pipettes, burettes and flasks tested for agreement with one another. Exercises in calibration are given below. It is absolutely essential that measuring vessels shall be clean. Sometimes, in the absence of visible accumulations, a vessel may be very dirty, as when drops of water adhere to the surface of a burette. Cleaning Solution.—An efficient cleaning solution for use when there is plenty of time consists of a mixture of a few crystals of potassium dichromate and concentrated sulphuric acid. The vessel to be cleaned is filled with the cleaning mixture and set aside for several hours, after which the solution is returned to the bottle, and the vessel washed thoroughly with distilled water. A more rapid cleansing may be effected by washing with sodium hydroxide solution, then with dilute acid, and, finally, with distilled water. Vessels of suitable size may be dried by placing in the oven. Sometimes it is convenient to rinse the vessel with alcohol, and then with ether, after which it can be made quite dry in a short time in the oven. Great caution is always necessary when using ether near an open flame. The drying of large or long pieces of apparatus, such as a burette, may be assisted by passing through them a blast of dry air. Care of Stop-cocks.—Stop-cocks and glass stoppers should be lubricated slightly with paraffin. When the vessel is to be set aside for some time or be returned to the storeroom, it should be thoroughly cleaned and the stop-cock properly lubricated, or all lubrication removed and a piece of paper placed between the stop-cock and its seat at one side with one end projecting outward. This is to prevent the stick¬ ing of the stop-cock, with the probable loss of the instrument. Units of Capacity.—The units of capacity employed by the U. S. Bureau of Standards are (i) the liter, defined as the volume occupied by a quantity of pure water at 40 Centigrade having a mass of 1 kilogram ; and (2) the cubic QUANTITATIVE CHEMICAL ANALYSIS. 13 centimeter or milliliter, which is the one-thousandth part of a liter. One milliliter is 1.000027 cubic centimeter, hence the cubic centimeter is not exactly one-thousandth part of a liter, but the difference is so small that in volu¬ metric analysis it makes no material difference. Although the standards of capacity are defined at 40 C., 760 mm. pressure, vessels are graduated at 20° C., which is close to the average temperature of most laboratories. Pure water at 20° C. has a density of 0.9982343 ; i. e., one liter of pure water, measured at 20° C., would weigh in a vacuum 998.2343 gms. Weighing is affected by the buoy¬ ancy of the air, and to find the true weight, reduction must be made to weight in a vacuum. One liter of air at 760 mm. pressure weighs 1.2 gms. and exerts this amonnt of buoyancy upon a liter of water. The density of brass is 8.4 ; therefore, a weight of 998.2343 gms. of brass has a volume of 998.2343 h- 8.4 = 118.8527 cc., which is also the volume of air displaced, having a weight of 0.1426 gm.; 1.2—0.1426 = 1.0574 = loss of weight of a liter of water when weighed in air at 20°. The weight of a liter of water at 20° in air is 998.2343 — 1-0574 = 997.1769 gms. Calculate the weight of the fractional parts of a liter from this factor. Exercise IV. Calibration of a Transfer Pipette. Bring the water to be used to the temperature etched upon the pipette. Measure accurately into a carefully-tared weighing bottle the full contents of the pipette, touching the tip against the side of the bottle to remove the last ad¬ hering drop, but do not blow into the bottle the portion of water remaining within the tip. Stopper the bottle and carefully take its weight. Subtract the weight of the bottle alone from the weight of bottle and contents to find the weight of the water delivered. Record this weight in 14 QUANTITATIVE CHEMICAL, ANALYSIS. the note-book. By reference to the table of water volumes calculate the volume of water delivered and record in the note-book. Exercise V. Calibration of a Burette. Fill the burette with distilled water at the required temperature; run out successive portions of 5 cc. into a tared flask whose capacity is as great as that of the burette. Weigh after the addition of each successive portion of 5 cc. and from the results calculate the correct readings and record in the note-book. The first calibration should be checked by a duplicate. It is important that in measuring the water from the burette that the reading should not be taken earlier than after three minutes, in order to allow the film of liquid adhering to the walls of the instrument to run down and indicate the correct height in the instru¬ ment. Exercise VI. Calibration of a Measuring Pipette. Calibrate a measuring pipette in the same manner as a burette. Exercise VII. Calibration of a Flask. (a) By Weight.—Placed the counterpoised flask on the left-hand pan of the balance and add to the right pan the requisite number of grams, on the basis of 997.177 grams for one liter. Fill the flask with an amount of distilled water at 20° C. slightly less than the required amount. Then, carefully, drop in water until equilibrium is reached. If the flask is ungraduated a film of melted paraffin should be smeared around the neck before beginning the operation, and when the height of the liquid is noted a thin line is drawn around the neck of the flask through the paraffin, and QUANTITATIVE CHEMICAL ANALYSIS. a little hydrofluoric acid placed in the groove thus made to etch the line upon the glass. If the flask is already grad¬ uated it may be filled to the mark and weighed. From the weight obtained correction, if necessary, is to be made for the contents of the flask. Or, if the existing mark is erroneous a new mark may be made and so indicated. {b) By Morse-Blalock Bulbs.—Where several vessels are to be calibrated to the same capacity it may conveniently be done with the Morse-Blalock bulbs, figured in Fig. 4. U Fig 4.—Morse-Blalock bulbs for calibrating flasks, burettes and pipettes. In the figure the large bulb has a capacity of 500 cc. from the upper mark to the first mark (zero) on the graduated stem. The stem is graduated in millimeter divisions. The n U j5 quantitative chemical analysis. combined capacity of bulb and stem at o° C. is not less than 500 cc. A delivery tube with stop cock is attached by rubber tubing to the lower end. To calibrate the instrument, it is filled with distilled water (including the delivery tube) to the upper mark. The water is then run out into a tared flask to the first mark on the stem, and weighed. Then run the water in the stem into a weighing bottle to the last mark. Weigh the bottle. The temperature of the water must be taken and the weight divided by the weight of 1 cc. of water at the observed temperature, making correction for air dis¬ placement. In this way the capacity of the bulb and the capacity of the stem at the observed temperature are found. Divide the number of cc. in the stem by the total number of graduations on the stem to find the value in cc. of each division, and select the mark on the stem to which water must be run out in order, when added to the bulb, to measure just 500 cc. at the temperature of the calibration. If practicable bring the water to 20° C. Then the fac¬ tor for dividing the weight of the water will be .997177 (.9982343 — .001574). The apparatus is then ready for calibrating any number of flasks at that temperature. Procedure.—Smear the necks of the flasks to to be cali¬ brated with a thin coating of melted paraffin. Fill the standard bulb with distilled water, as before, at the temper¬ ature of the experiment. Run the water into the flask down to the mark on the stem necessary to deliver 500 cc. Then make a thin groove through the paraffin down to the glass at the lower edge of the meniscus and etch it in with hydrofluoric acid. Also etch the capacity of the flask, the temperature of the calibration, and your initials on the body of the flask. These directions call for a 500 cc. flask, but flasks of any size may be calibrated in like manner by using the proper standard bulbs. QUANTITATIVE CHEMICAL ANALYSIS. 17 Questions. 1. What is the chief difference between gravimetric and volumetric methods ? 2. What special equipment is required for quantitative analysis ? 3. What is the zero-point of a balance, and how is it found ? 4. What is meant by the sensibility of a balance, and how is it determined ? 5. Does the sensibility of a balance vary with the load ? 6. State how weights which do not conform exactly to the masses stamped on them may be used in quantitative analysis. 7. A 10-milligram rider is used on a beam having 12 large divisions, each divided into 10 small divisions. What is the value of the rider for each small division ? 8. Advance a reason why objects should not be weighed hot. 9. Why should weights not be handled with the fingers ? 10. What does the term " weight" mean when used for the findings with the analytical balance ? 11. Describe how a transfer pipette is used for measuring liquids. 12. Describe how a burette is used and the manner of reading a burette. 13. How may glass vessels be made clean? 14. What gives evidence that a clean-appearing vessel is dirty ? 15. Define the units of capacity used in graduating vessels. 16. At what standard temperature are vessels graduated in this country ? 17. Is the weight of an object as ordinarily taken the true weight ? 18. Discuss the factors bearing on the correct answer to 17. 2 18 QUANTITATIVE CHEMICAL ANALYSIS. 19. Describe the calibration of a burette. 20. Describe the calibration of a flask by the use of Morse-Blalock bulbs. Chapter II. STOICHIOMETRY. The calculations of analytical chemistry depend upon the quantities of substances used and found and the atomic or molecular proportions entering into their reactions. Atomic and molecular weights are made use of here in the same manner as in the problems worked in a first course in chemistry. Usually a simple proportional statement is all that is required for most calculations ; but in order to select the proper quantities for the proportional statement it is necessary to understand the reactions which take place and to be able to write the equations. BALANCING EQUATIONS. Metathetical Reactions.—The reactions most commonly met with in a quantitative analysis are double decomposi¬ tions between (1) two salts ; (2) a salt and an acid ; (3) an acid and a base ; resulting respectively, in an exchange of radicals, the formation of a salt of the acid used, and neu¬ tralization with the formation of a salt. In writing equations it is essential that the equivalent quantities of the reacting substances be set down. Silver nitrate (AgN03) and sodium chloride (NaCl) form silver chloride (AgCl) and sodium nitrate (NaNOs). Inspection of the formulas of these substances shows that both sodium chloride and the silver chloride formed, each contain one equivalent of chlorine, are univalent combinations, and the reaction, a simple exchange of radicals ; AgN03 + NaCl = AgCl + NaNOa. quantitative; chemical analysis. 19 Silver also forms silver chloride with barium chloride (BaCl2). Barium chloride contains two atomic equivalents of chlorine, and since the product of the reaction with silver is silver chloride, which contains but one atomic quantity of chlorine, two molecular quantities of silver nitrate are required to furnish the silver necessary for the complete reaction ; 2AgN03 + BaCl2 = 2AgCl + Ba(N03)2. It is evident that in attempting to balance an equation one must have knowledge of the products of the reaction, and a review of the following illustrations will be of assist¬ ance : 1. Two salts exchange radicals, as in examples above. 2. Strong acids decompose the salts of weaker acids with the formation of a salt of the stronger acid ; CaC03 + H2S04 = CaS04 + H20 + C02. 3. An acid and a base form a salt and water ; HC1 + NaOH = NaCl + H20. 4. A metalliooxide and a non-metallic oxide form a salt \ BaO + C02 = BaC03. 5. A metallic oxide and an acid form a salt and water ; BaO + H2S04 = BaS04 + H20. 6. Carbonates yield carbon dioxide, as in 2 ; when roasted they give also a metallic oxide ; BaCOs = BaO + C02. Other cases of the formation of oxides by heating are given under Ignition. Oxidizing Reactions.—When a substance gains in positive valences it is said to be oxidized ; the opposite is reduction ; 20 QUANTITATIVE CHEMICAL ANALYSIS. thus, when ferrous chloride (FeCl2) is oxidized to ferric chloride (FeCl3), Fe gains a positive valence. In the light of the theory of electrolytic dissociation oxidation and re¬ duction are looked upon as the assumption of positive and negative charges, respectively. Since oxidizing reactions involve a change of valence they are not so easy to balance as the metathetical equations just considered. A common example of oxidation is that of iron by pot¬ assium dichromate in the presence of hydrochloric acid. First, consider the reaction of potassium dichromate (K20.2Cr03) when reduced, thereby furnishing the oxidizing charge; and, second, the oxidation of ferrous chloride, finally combining the two equations, K2Cr207 + 8HC1 = 2KC1 + 2CrCl3 + 4H20 + 3O. (1) 6FeCl2 + 6HC1 + 30 = 6FeCl3 + 3HA (a) 6FeCl2+K2Cr2Or+i4HCl=6FeCl3+2KCl+2CrCl3 + 7H20. (3) The molecular equivalent of potassium dichromate may be found from equation 1, in which it is seen that three atoms of oxygen are liberated : K2Cr207 = 30 = 6H ; therefore, one-sixth the formula-weight of potassium di¬ chromate is equivalent to one atomic weight of hydrogen. Iron, by oxidation, gains one valence, and K2Cr207 = 30 = 6Fe. Oxidation by nitric acid also furnishes an illustrative example. When heated, concentrated nitric acid decom¬ poses as shown in equation (4). 2HNO3 = H20 -f- 2NO2 -f~ O. (4) 2FeCl2 + 2HCI + O = 2FeCl3 + H20. (5) 2FeCl2 -f 2HN03 + 2HCI = 2FeCl3 + 2H20 + 2N02. (6) Two formula-weights of nitric acid as a unit yield one atom of oxygen ; hence, 2HN03 = O = 2H = 2Fe. QUANTITATIVE CHEMICAL ANALYSIS. 21 Calculations based on equations.—Write the equation for the reaction considered and set down under each member of the equation the equivalent quantities involved, thus : H2S04 + BaCl2 = BaS04 + 2HCI 98.09 208.27 233.43 72.924. 1. The amount of a substance required to combine with a given amount of another substance. How much barium chloride required to combine with 18 grams of sulphuric acid ? 98.09 : 208.27 : : 18 : x = 38.21 gins. 2. The amount of a substance required to form a given amount of another substance. How much sulphuric acid required to form 115 milligrams of barium sulphate ? 233-43 : 98.09 : : 115 : x = 48.324 mgs. 3. The amount of a substance formed by a given amount of another substance. How much barium sulphate is formed by 20 grams of barium chloride ? 208.27 : 233.43 :: 20 : x = 22.949 gms. 4. The amount of a substance equivalent to a given amount of another substance. Twenty cc. of a sulphuric acid solution by analysis give 175 milligrams of barium sulphate. How much sulphuric acid in a liter of the solution ? 233-43 : 98-°9 T75 : x =73-54 tng.=H2S04 in 20 cc., and 73.54 Xi.ooo cc. (1 liter) , 1 = 3>677 or 3-677 gms-, amount of H2S04 in one liter. 22 QUANTITATIVE CHEMICAL ANALYSIS. Analytical Factors.—An analytical factor is found by dividing the equivalent weight of the substance sought by the •equivalent weight of the substance found ; thus, the factor for sulphuric acid from barium sulphate: 98.09 -h 233.43 = -.42021. To calculate the quantity of sulphuric acid found by precipitation as barium sulphate, multiply the amount of barium sulphate obtained by the factor .42021. (See also volumetric factors.) Use of Logarithms.—Arithmetical calculations are short¬ ened by the use of logarithms, and errors are usually de¬ tected more easily. It is advisable that the student acquire facility in using logarithmic tables. The slide rule, based on logarithms, is a mechanical means of solving problems and may be used to advantage in many instances. Stating Results.—If the sample analyzed is a liquid, the results may be stated in grams per liter, or if the specific gravity of the liquid is known the percentage strength may be given. When solids are examined the report is usually made in f>er cents. The ratio of the amount of the calculated substance to the amount of the sample used, the latter taken as 100, the base of percentage, will give the per cent of the sub¬ stance as found by analysis. Substance calculated x , . , —_ . . . :: — : or, put into a proportional Original sample 100 r r r statement with x as the last member, A : B :: 100 : x (A = sample, B = calculated substance). Chemical Tables.—As a result of very careful analyses tables have been prepared for the use of the chemist which give important information. Among them will be found lists of the elements and the compounds and radicals com¬ monly encountered in analytical practice, together with their atomic and molecular weights and their logarithms ; also, lists of analytical factors and their logarithms. Tables which show the per cent of substances in solution QUANTITATIVE CHEMICAL, ANALYSIS. 23 at different specific gravities are exceedingly useful. For example, suppose it were desired to make a solution of very nearly 10 per cent of hydrochloric acid from the reagent in the stock bottle. Referring to a table of the properties of hydrochloric acid it is found that 10 per cent hydrochloric acid has a specific gravity of 1.050. It would be a simple matter, using a hydrometer, to add water to a portion of the stronger acid until the specific gravity fell to the desired point. (See "Making Volumetric Solutions.") Or, suppose again that the acid in the stock bottle is concentrated, i. e its specific gravity is 1.2 ; it would then contain 39.11 per cent hydrogen chloride (HC1). The proportions of acid and water to be mixed may be easily calculated by alligation. Subtract the S. G. of water (1) from the desired S. G. of acid (1.050) and place the result under "acid;" subtract desired S. G. of acid from S. G. of strong acid and place under " water," as shown below. Desired S. G. of acid 1.050 t * N, S. G. water S. G. acid 1 1.2 .150 .050 It is apparent that the ratio of the two numbers obtained by the above subtraction is 3 : 1 ; hence, three volumes of water to one of acid will give an acid solution of the desired specific gravity. One point to be considered is whether contraction of volume takes place on making the mixture. If so, it is to be allowed to stand until contraction has ceased and then bring up to the correct volume. The percentage strengths may be used in the same way as the specific gravities with the same results, but it is not to be forgotten that the acid strength of water is- zero. 24 QUANTITATIVE CHEMICAL ANALYSIS. Questions. 1. Point out the difference between metathetical and ox¬ idizing reactions. 2. What is meant by a molecular equivalent ? 3. Define the " analytical factor." 4. Name some ways in which analytical results are stated. 5. Balance the following equations and state for each whether it is metathetical, oxidizing, or reducing : (a) KI + H202 = KOH + I. (^) MnS04 -f- Na2C03 -f- O = C02 H- Na2S04 -)- Na2 Mn04. (c) Co(NO,)2 + HN02 = H20 + NO + Co(N02)3. {d) KC103 + H2S04 + FeS04 = Fe2(SOA + H20 + KC1. (e) HgCl + NH3 = NH4C1 + HgNH2Cl + Hg. (/) K2Cr207 + HI +H2S04=K2S04+Cr2(S04)3+H20 + I. Or) HgCl2 + SnCl2 = SnCl4 + HgCl. 6. Solve the following problems : (a) What weight of ferrous sulphate corresponds to 1.5 gms. of Fe203? (,b) How much Mg2P207 will be obtained by the ignition of •75 gm- of MgHP04? (c) How many cc. of sulphuric acid, S. G. 1.210, must be measured to get 3 gms. of H2S04 ? (d) How many cc. of hydrochloric acid, S. G. 1.12, will be required to dissolve 1 gm. of Fe203 ? (e) Calculate the factor for P205 from Mg2P207* (/) Reduce the weight of 750 gms. of water at 20° C. in air to weight in a vacuum. (j?) Ten gms. of a sample of sodium carbonate yield 1890 cc. of C02; what is the degree of purity of the sample in per cent of Na2C03? QUANTITATIVE CHEMICAL ANALYSIS. 25 SECTION II. GRAVIMETRIC ANALYSIS. Chapter III. General Operations. The usual steps of gravimetric analysis are (1) preparation and weighing of the sample; (2) solution ; (3) precipitation; (4) collection of precipitate on filter and washing ; (5) drying of precipitate and filter; (6) ignition; (7) cooling and weighing crucible .and contents. Preparation and Weighing of Sample.—The sample is reduced to the state of a fine powder, and the mechanically- held water is removed by drying in the oven at ioo° C. to constant weight. It is not always necessary to weigh out a certain exact amount of the sample, but the exact weight of the portion taken must be found. The amount of sample weighed out should be such that the precipitate to be formed will not exceed 1 gm. A convenient and satisfactory method of weighing out the required amount is to place the powdered substance in a weighing bottle and weigh the whole accur¬ ately. Then shake into a beaker an amount of the substance judged to be about what is required. Again carefully weigh the bottle and contents ; subtract the last weight from the first and the difference will be the amount of the sample transferred to the beaker. During the operation of weigh¬ ing, as just described, the bottle should not be handled with the bare fingers, but with a piece of cheese-cloth or filter paper. Should it be necessary to weigh out a certain exact quantity of the sample, it must be weighed in a tared watch- glass or other suitable vessel, and never directly on the 26 QUANTITATIVE CHEMICAL ANALYSIS. scale pans. When the desired amount has been nearly reached, small quantities may be put on or taken off as required with the point of a thin blade of a pocket knife or a spatula. Keep the weighed substance covered with a clean watch-glass to prevent loss from air draughts. Loss must also be avoided in transferring a substance. The last adhering particles are brushed off with a small camel's hair brush. Solution.—Under each exercise the method of procedure includes the solution of the sample. The solvents com¬ monly employed for inorganic substances are: (i) water; (2) hydrochloric acid ; (3) aqua regia,—a mixture of hydro¬ chloric and nitric acids, three parts and one part by volume, respectively; (4) fusion with sodium and potassium car¬ bonates, and solution in water,—applicable to silicates. Water alone is used whenever possible. If heating is required, the beaker must be covered with a clean watch-glass, and the mixture stirred with a glass rod, the cover being raised just high enough on one side to permit it. If the mixture is to be boiled, or if there is a reaction in which a gas is evolved which may cause me¬ chanical loss of liquid, the substance should be dissolved in an Erlenmeyer flask with a small funnel placed in its mouth. Precipitation.—A suitable precipitant, in solution, is added in slight excess to the solution of the sample. Pre¬ cipitation may be effected in most cases at ordinary room temperature, but it is generally best to heat the mixture. The directions for heating during solution apply to heating during precipitation. When the operation is concluded the cover of the vessel is to be washed with a stream of water from the wash bottle, the stream flowing into the beaker containing the mixture. The precipitant chosen is the one which will form the most nearly insoluble product. All substances are more or less soluble; those whose solubility is so slight as to be almost negligible are usually said to be insoluble. quantitative; chemical analysis. 27 The theory of electrolytic dissociation holds that substances in solution dissociate into their constituent groups to a greater or less degree de¬ pending on certain conditions, notably temperature and concentration. For example, sodium chloride, which is freely soluble in water, dissociates into sodium ions, bearing positive electrical charges, and chlorine ions bearing negative charges. The word ion is derived from a Greek verb meaning "go," and ions are named according to the electrical pole to which they are attracted in electrolysis; thus, sodium is a cathion and chlorine is an anion. The degree of ionization means the per cent, of the total dissolved molecules which become dissociated into ions. For any given compound there' is always a constant ratio of dissociated molecules to undissociated molecules, represented by the formula a ^ ^ = k, where ab is the dis¬ solved undissociated molecules, a and b the ions of dissociated molecules, and k a constaht. ... Na+XCl~ For sodium chloride, this ionic equation would read —— = ■ * now another soluble chloride, e. g., hydrogen chloride were added to the solution it would also ionize, giving hydrogen ions and chlorine ions. This increase of chlorine ions would make the product a X b momentarily greater, but the equilibrium between sodium and chlorine ions and undis¬ sociated sodium chloride, as shown in the equation above, would be maintained. Hence, the effect of the addition of more chlorine ions by hydrogen chloride would be to drive back the ionization of the sodium chloride and there would be fewer dissociated molecules of this salt. If the sodium chloride solution were saturated, the effect would be to pre¬ cipitate the molecules whose ionization had been checked. This fact is sometimes made use of in the laboratory to prepare pure sodium chloride. In the case of difficultly soluble substances the amount which passes into solution is so small that it may be considered totally ionized, and the ionic product becomes the solubility product. For example, the solu¬ bility of barium sulphate at 180 C. is 0.00001 mole per liter (1 mole = molecular weight in grams). The ionic equation for barium sulphate is BaSQ4~7~'>Ba + + +SO4 ; the ionic product, 0.00001 X 0.00001 = .091 (solubility product). If a soluble barium salt is added to a solution of barium sulphate a larger number of barium ions enters into the solution so that the ionic product Ba + + X SO4 exceeds the solubility product of the barium sulphate with the consequent precipitation of the latter salt. In this is the reason for the addition of the precipitant in slight excess. Also, it will be apparent from the above paragraph why large quantities of water are to be avoided in washing precipitates. A large excess of precipitant is to be avoided because of the increased difficulty in com¬ pletely washing the precipitate. Filtration and Washing.—The precipitate is separated from the supernatant liquid by filtration, ordinarily by use of filter paper in a funnel whose sides include an angle of 28 QUANTITATIVE CHEMICAL ANALYSIS. 6o°. The paper is folded into a cone which fits the funnel closely, and the latter must be of such size that the paper will not fill it completely to the rim, and it should have a fairly long stem. Papers of 9 and 11 cm. diameter are commonly used, but the size will be determined by the character and bulk of the precipitate to be filtered. Quantitative filter papers are described as " ashless," be¬ cause they have been thoroughly washed with suitable reagents to remove almost completely all inorganic mate¬ rials. The ash content of the smaller papers is negligible in the majority of gravimetric determinations. Some papers filter rapidly, others more slowly, and still others are of such close texture that it is advantageous to use the filter pump with them. The filter flask and pump are illustrated in Fig. 5. Papers of rather close texture are Fig. 5.—Filter flasks and filter pump. At the left, conical funnel with platinum cone ; right, Gooch crucible in holder. required for certain precipitates, which, like barium sul¬ phate, contain particles so fine that they readily pass through the more rapidly filtering papers. The apex of the folded filter should be supported during filtration by suction to prevent rupture of the paper. For this purpose a platinum cone, conforming to the shape of quantitative; chemical analysis. 29 the funnel, or a very small, folded, filter paper of tough texture may be used, care being taken that the support does not interfere with the filter lying close against the sides of the funnel. Some precipitates are advantageously filtered upon a felt of asbestos in a Gooch crucible supported in a suitable holder connected to a suction flask. A rubber band or hollow rubber stopper to receive the crucible forms an air¬ tight joint around it. Asbestos of suitable form is prepared by washing in hydrochloric acid, afterwards with distilled water and then ignited. It is shaken up with distilled water and poured into the crucible, suction being applied to draw off the water and to imbed the asbestos upon the perforated bottom of the crucible. The felt formed in this way should be at least one milliter thick. After the water is drawn out as much as possible, the crucible is dried in the oven to a constant weight. It is then ready to be used in filtering off precipitates, in which operation the suction pump is used as in the preparation of the crucible. Crucibles made of alundum for filtering purposes are sufficiently porous to permit of filtration by suction, and require no preparation other than cleaning and drying to constant weight. In using the filter pump do not turn on the full force of the pump, but proceed with gentle suction. The method of transferring a liquid from the beaker to the filter is illustrated in Fig. 6. Be careful to direct the stream against the side of the filter, and not upon the apex. The point on the outer rim of the beaker where the glass rod is held should be smeared with a little melted paraffin. After nearly filling the filter the liquid is allowed to run through until nearly all has passed, when it is again nearly filled, and so on until all has been introduced. Adhering portions of the precipitate are detached from the sides of the beaker by rubbing off with a rubber-tipped glass rod (" policeman"), made by passing a short piece of QUANTITATIVE CHEMICAL ANALYSIS. QUANTITATIVE CHEMICAL ANALYSIS. 31 rubber tubing partly over one end of a stirring rod, the edges of the free, projecting end being pressed together and sealed with a little rubber cement. The particles are finally washed onto the filter as shown in Fig. 7. Precipitates should be well washed by decantation and all washings passed through the filter. After the precip¬ itate has been removed to the filter, washing is continued with a fine stream from the wash-bottle until the filtrate, upon test, shows an entire absence of soluble materials. The manner of washing a precipitate is important. Use a fine stream and direct it over all portions of the precipitate until the whole of the latter is well covered. Allow this water to pass through the filter and repeat the process until the precipitate is completely washed. The character of the soluble materials is known and a suitable test must be applied to the last portions of the filtrate to determine when they are completely removed. For example, in washing a precipitate of barium sulphate, precipitated from magnesium sulphate by barium chloride, magnesium chloride and barium chloride will be present in the solution and mixed with the precipitate. Complete removal of these chlorides will be indicated at that point in the washing, when the filtrate, tested with silver nitrate solution, gives no cloudiness (absence of chlorides). Drying Precipitate and Filter.—The precipitate and filter are put into the oven where a temperature ioo°-iio° is maintained, until dried to a constant weight, if they are to be weighed together in the form in which dried. If the precipitate is to be ignited, and this is usual, the drying need not be carried to constant weight. In fact, they need not be weighed at all, but are dried only until all sensible moisture is removed. No attempt should be made to re¬ move a wet filter from the funnel. Press a moistened piece of filter paper over the rim of the funnel for a cover and place in the oven. When a precipitate is dried in a crucible, the crucible may be put into a small beaker and the latter covered with a watch-glass. 32 QUANTITATIVE CHEMICAL ANALYSIS. Ignition.—The object of ignition may be (i) to burn off the filter paper from the precipitate; (2) to remove all traces of organic matter ; (3) to drive off volatile impurities ; and (4) chiefly, in most cases, to convert the precipitate into a substance more stable and better suited for taking the exact weight than the original precipitate. Chlorides^ sulphates and oxides are the forms in which most metallic substances are weighed. If a metal is precipitated as hydroxide, carbonate or oxalate, it will be changed during ignition to oxide. Many nitrates also change by ignition to oxides. The following equations illustrate these changes: 2Fe(OH)3 + A = Fe2Os + 3H20. 0aCO3 -f- A = CaO -(- C02. CaC204 -f- A = CaO -)- C02 -I- CO. 2Pb(N03)2 + A= 2PbO -f 02 + 2N2Oi. The precipitate is ignited in a crucible which has been previously made thoroughly clean, carefully ignited, cooled in the desiccator, and weighed. It is better to weigh the crucible and its cover separately on account of the possibility of breaking the cover during subsequent ignition. Should this happen it would not necessarily interfere with further carrying out of the determination. The weights are recorded in the note-book. This preparation of the crucible is to be done every time the crucible is to be used, but time may be saved in the weighing by reference to the former weight. Porcelain crucibles are much used for general purposes, but are not suitable for alkaline fusions, or where the sub¬ stance is to be treated with hydrofluoric acid. They should always be gently heated at first. Silica crucibles are used for much the same purposes as porcelain crucibles, and have the advantage that they may be subjected to sudden changes of temperature without danger of fracture. Platinum crucibles are best for ignitions, on account of the well-known properties of the metal, such as its resistance QUANTITATIVE CHEMICAL ANALYSIS. 33 to oxidation, and the effect of most acids, except a mixture of hydrochloric and nitric acids. Also, platinum crucibles cannot be used in the following cases : (i) fusion with the hydroxides and nitrates of the alkalis ; (2) fusions in which bromine, fluorine and iodine are set free ; (3) fusions in which lead, silver, zinc, tin, bismuth, arsenic and antimony are reduced to the metallic state, on account of their fusion with the metal; (4) it is better not to ignite phosphates on a filter paper in platinum crucibles because of the possibility of reduction, whereby phosphorus may be set free and combine with the platinum. Platinum ware is cleaned by scouring with sea sand. Firmly adhering stains may be removed by fusing potassium bisulphate in the crucible and then removing the fused mass with boiling water. Crucibles are supported on triangles made of clay, iron wire, silica, nichrome' wire, and platinum. Platinum crucibles must not be supported on iron triangles. If the precipitate has been dried before ignition it should be removed as far as possible from the paper and collected on a clean watch-glass or a piece of black glazed paper, and covered with a watch-glass to prevent loss. The filter paper is folded and a piece of platinum wire coiled about it. It is then held over the weighed crucible and burned, the ash dropping into the crucible. The remainder of the precipitate is transferred to the crucible, with a camel's hair brush, and the whole ignited. The paper is burned separately for the reasons that many substances are reduced when burned in contact with paper, and the burning of the latter is accomplished easier on account of exposure to a larger volume of air than it would meet within the crucible. When the precipitate and the paper are ignited together, the crucible lid should be in place and heat gently applied until the paper is charred, and then the whole brought to a dull red heat. In case the paper burns with difficulty, or 3 34 QUANTITATIVE CHEMICAL ANALYSIS. the precipitate is moist, the crucible must be slightly tilted on the triangle as shown in Fig. 8, with the lid touching it near the upper edge, but making a larger opening at the lower edge, so as to direct the flame into the crucible. In these operations every care must be exercised to prevent loss of material. Sometimes a deposit of carbon accumu¬ lates on the surface of the crucible and the lid and must be removed by applying the flame to such portions and burning it off. The Bunsen burner of suitable size answers very well for ordinary heating operations, but the Tirrill burner illus¬ trated at A, Fig. 9, is, perhaps, the best burner for general use in the quantitative laboratory, since it permits the regu¬ lation of both gas and air, and the flame may be made very small or quite large. Gas is regulated by the milled screw near the bottom ; air regulation is obtained by screwing the body of the burner up or down as required. The air inlets quantitative; ch^micai, analysis. 35 should not be opened to the extent that the flame is pro¬ duced with a roaring or decided blowing noise. The M£ker burner, illustrated at B, Fig. 9, differs from the Bunsen burner in that the volume of air admitted is considerably larger for the same amount of gas, affording better combustion and a hotter flame. The expanded top contains a nickel grid which serves to break what would otherwise be one solid flame into several small flames which coalesce into one large flame without the large inner cone of cold gases. Unless the burner is suited to the gas pres¬ sure at hand there will be much annoyance from " striking back" of the flame. The Mdker burner may be used in¬ stead of the blast lamp, in many instances, for igniting pre¬ cipitates. The blast lamp, illustrated at C, Fig. 9, is used for ob¬ taining a high-temperature flame for ignitions. Gas is led in at the side tube and lighted at the mouth of the burner. Air under pressure is led in at the straight con- 36 QUANTITATIVE CHEMICAL ANALYSIS. nection and should be so regulated with reference to the gas flow that the flame does not roar, but has only a slight blowing sound. The size of the full flame is determined by the opening in the tip. Blast burners are usually fur¬ nished with interchangeable tips having different sized openings. Cooling and Weighing.—Before a precipitate can be weighed after ignition it must be cooled to the temperature of the room. If the crucible and contents are weighed hot, air currents will be set up within the balance case and un¬ equal expansion caused of the balance parts, both of which render the weighing incorrect. Cooling, is allowed to take place in a desiccator, Fig. 10, so that moisture may not condense on the crucible. The air within the desiccator is kept dry by a layer of sulphuric acid about i cm. deep, or the bottom compartment may be fairly filled with lumps of anhydrous calcium chloride. The ground rims of the desiccator and its lid should be smeared lightly with vase¬ line, and the lid must be kept in place except when it is necessary to remove it to introduce or remove something from the desiccator. As soon as the crucible and contents are cold they should be weighed. Do not allow substances to remain for a great while in the desiccator before weighing. Fig. 10. —Desiccator. QUANTITATIVE CHEMICAL ANALYSIS. 37 Questions. 1. What are the steps of a gravimetric determination? 2. State how a substance is prepared for analysis and how weighed. 3. Discuss the solution of the sample. 4. What governs the choice of the precipitating agent ? 5. Why is the precipitant added in " slight excess ?" 6. What is meant by ionization, and what is the ioniza¬ tion constant? 7. What is the effect of adding to a solution a substance giving ions common to existing ions ? 8. Describe u quantitative" filter papers. 9. Describe the preparation of a Gooch crucible. 10. Why are large quantities of water to be avoided in washing most precipitates? 11. How is the completion of the washing of a pre¬ cipitate determined? 12. What is the object of ignition of a precipitate? 13. Why is the filter paper burned apart from the pre¬ cipitate? 14. Describe the ignition of moist precipitates. 15. Should an object be allowed to stand indefinitely in the desiccator before weighing ? Chapter IV. GRAVIMETRIC EXERCISES. Exercise VIII. Determination of Iron. Iron is determined gravimetrically by precipitation in the ferric state by ammonium hydroxide as ferric hydroxide> and ignited to ferric oxide, in which form it is weighed. FeCl3 + 3NH4OH = Fe(OH)3 + 3NH4C1. 2Fe(OH)3 = FeA + 3HA 33 QUANTITATIVE CHEMICAL ANALYSIS. The instructor will furnish you with a solution of an iron salt. You are to report the amount of iron in the portion of solution given you. Transfer the solution to a 250 cc. beaker and rinse the smaller vessel originally containing the solution with dis¬ tilled water and pour into the larger beaker. Add distilled water enough to bring the volume up to at least 50 cc. Add about 3 cc. of hydrochloric acid, and boil for a few minutes. Then add 2 cc. of nitric acid and continue to boil for fifteen or twenty minutes. Set the solution aside to cool, and then pour into 200 cc. of water containing 10 cc. of ammonium hydroxide and again boil for two or three minutes, stirring the mixture constantly. Allow the precipitate to settle, and then pour off the supernatant liquid through a filter, leaving the precipitate in the beaker. Wash the' precipitate with hot water by decantation, passing all the washings through the filter- Finally, transfer all of the precipitate to the filter and wash with hot water from the wash bottle until the absence of chlorides in the filtrate is shown by the test with silver nitrate solution. Dry the precipitate in the oven and ignite over a Tirrill burner; at the last, use the blast burner for a few minutes. Cool the crucible and contents in the desiccator and weigh. Calculate the amount of iron in the solution. Exercise IX. Determination of Lead. In this exercise the amount of lead in lead nitrate is determined by ignition of the salt to lead oxide. Any salt of lead capable of being changed into the form of nitrate may be analyzed for its lead content in this way. Also, the soluble salts of lead may be determined by precipitation with hydrogen sulphide and weighed as lead sulphide. quantitative; chemical analysis. 39 Weigh out from the weighing bottle about 0.5 gram of lead nitrate and put into a crucible which has been previ¬ ously cleaned, ignited and weighed. Place the lid on the crucible and heat gently until all crepitation has ceased, and a large amount of nitrous fumes is no longer given off; then, at dull red heat, continue the heating until no fumes at all are evolved. Cool the crucible and contents, and weigh. From the amount of lead oxide found calculate the per cent of lead in the sample. Pb(N03)2 = PbO + 2N02 + NO. Exercise X. Determination of Mercury. a. Precipitation as Mercurous Chloride.—Mercury must be in the mercurous form to be precipitated as mercurous chloride. If a mercuric salt is to be determined it must first be reduced. For this exercise you are given a solution of a mercuric salt. Add to the solution 3 cc. of hydrochloric acid and an excess of phosphorous acid and heat for 15 minutes at 550 to 6o° C.; not higher than 6o°. Allow the precipitate to settle, and filter through a Gooch crucible which has been previously properly prepared. Report the amount of mercury. b. Precipitation as Sulphide.—Dilute the mercury solu¬ tion given you to about 100 cc. Saturate the solution with hydrogen sulphide, and filter through a Gooch crucible. Wash thoroughly with cold water, dry at ioo° C. and weigh. It may happen that free sulphur is mixed with the precipi¬ tate, and for this reason it would be well to again wash with carbon disulphide, and dry again at no0 C. Report the amount of mercury. 4° QUANTITATIVE CHEMICAL ANALYSIS. Exercise XL Determination of Magnesium. Magnesium is precipitated in alkaline solution as the acid phosphate (MgHP04), which is afterward ignited to magnesium pyrophosphate, Mg2P207, in which form it is weighed. The solution given you is to be diluted to about 50 cc., and treated with 5 cc. of hydrochloric acid and 10 cc. of di- sodium phosphate solution. Then, with constant stirring, add dilute ammonia until the mixture is distinctly alkaline. Be careful not to rub the sides or bottom of the beaker with the glass rod, on account of the formation at such points of a strongly adhering precipitate. Cover the beaker and set aside for twelve hours. Filter through a 9 cm. filter paper and wash with very dilute ammonia until the washings, tested with silver nitrate, show only the slight turbidity given by the ammonia. Cover the funnel and contents, convey to the oven and dry at ioo°. By means of a small brush of camel's hair remove as much as possible of the dry precipitate from the filter to a piece of black glazed paper. Then fold the filter paper for burning on a platinum wire, allowing the ash to drop into a weighed crucible. If difficulty is found in completely burning portions of the paper within the crucible, it may be moistened with nitric acid after cooling and the Bunsen flame again applied. When the paper has been completely burned to a white ash, add the precipitate to the crucible. Heat the crucible and contents gently for a few minutes and then turn on the full flame of the burner; finally, ignite over the blast burner. Cool in the desiccator and weigh. From the quantity of magnesium pyrophosphate obtained calculate the amount of magnesium in the solution given you. 2MgHP04 = Mg2P207 + H20. quantitative; chemical analysis. 41 Exercise XII. Determination of Sulphuric Acid. Sulphuric acid and soluble sulphates are determined by precipitation with barium chloride. The resulting barium sulphate is very insoluble, but the particles, unless formed in hot solution, are very fine and easily pass through most filters. For this reason precipitation is carried out in boil¬ ing solution, and the mixture afterward boiled for several minutes, which causes still greater enlargement of the particles. A large excess of barium chloride is to be avoided in the precipitation on account of the tendency which barium sulphate has to carry down other substances with it (absorption) which renders complete washing of the precipi¬ tate difficult. The method to be described for the deter¬ mination of sulphates may be used for the determination of barium by using a soluble sulphate as precipitant. Dilute the solution of a neutral sulphate given you to about 100 cc., add 3 cc. of hydrochloric acid, cover and heat to boiling. Also, heat 50 cc. of 5 per cent barium chloride solution to boiling and pour cautiously into the boiling sulphate solution. Boil for at least five minutes, stirring constantly. Should the precipitate not settle readily, boil again for a few minutes. Decant the supernatant liquid through a small filter pre¬ viously wetted with hot water, retaining the precipitate in the beaker. Add 100 cc. of hot water and 1 cc. of dilute hydrochloric acid to the precipitate in the beaker, stir well, allow the precipitate to settle, and pour the liquid through the filter. Again wash the precipitate by decantation with hot water alone, and then transfer the precipitate to the filter. Continue the washing with hot water from the wash bottle until the final washings show no trace of chlorides with silver nitrate. The filter and contents may be dried in the oven before ignition, or they may at once be transferred to a weighed 42 quantitative; chemical analysis. crucible. If the latter is done the crucible should be ar¬ ranged on the triangle as described under ignition and illustrated at Fig. 8. Heat should be applied gently at first to the cover so as to dry the filter, and when the water has been expelled the crucible is gently heated to drive off volatile portions of the paper. Afterward, apply the flame to the bottom of the crucible, using a large flame, until the paper is all charred. Allow the crucible to cool, moisten the residue with concentrated nitric acid and again ignite until the residue is of a uniform, grayish-white appearance. Cool in the desiccator, weigh, and calculate the quantity of sul¬ phuric anhydride, S03, in the solution. Exercise XIII. Determination of Hydrochloric Acid. Hydrochloric acid and soluble chlorides are determined by precipitation with silver nitrate and weighed as silver chloride. When a soluble chloride is used as the precipitant the same method may be used for the determination of silver. Silver nitrate is also used for the 'precipitation of bro¬ mides, iodides and cyanides. Chlorates, after reduction to chloride, may be determined by precipitation with silver nitrate. Dilute the chloride solution given you to about 150 cc., add ten drops of concentrated nitric acid and 25 cc. of silver nitrate solution. Carefully heat the mixture to boiling, stirring occasionally, until the precipitate forms in curds and promptly settles. Add a drop or two more of silver nitrate solution to the clear supernatant liquid to observe if further precipitations occurs. During the boiling protect the solution from direct sunlight and as far as possible from strong diffused light. When precipitation is complete, pour off the supernatant liquid through a prepared Gooch crucible, leaving as much QUANTITATIVE CHEMICAL ANALYSIS. 43 as possible of the precipitate in the beaker. Wash the precipitate two or three times by decantation with hot water, then transfer to the Gooch crucible, and wash , with hot water from the wash bottle until the filtrate gives no cloud¬ iness with a drop of hydrochloric £cid. Dry the crucible and contents at 130° to constant weight, and calculate the chloride as hydrogen chloride. Exercise XIV. Determination of Phosphoric Acid. {a) By Precipitation as Phosphomolybdate.—Prepare a concentrated solution of ammonium nitrate. Prepare also a molybdate solution as follows: Dissolve 37.5 gms. of am¬ monium molybdate in 250 cc. of water to which a little ammonia is added. Filter if turbid. Make a mixture of 125 cc. each of concentrated nitric acid and water, and while constantly stirring, pour the solution of ammonium molybdate into it. Set the solution aside in a warm place for a few days and then filter before use. Heat the phosphate solution given you nearly to boiling and, while constantly stirring, add 50 cc. of molybdate solution. Stir for a while, maintaining the temperature on a water bath for about ten minutes. Allow the mixture to stand for an hour; then, filter through a Gooch crucible. Test the filtrate for the presence of phosphoric acid by the addition of molybdate solution ; if present, return the pre¬ cipitate to the crucible. Wash the precipitate thoroughly with a solution contain¬ ing 50 gms. of potassium nitrate and 40 cc. of concentrated nitric acid per liter. Place the Gooch crucible inside of a larger crucible and heat gently until there is no further evolution of ammonia ; then ignite, cool, and weigh as phosphomolybdic anhydride. 44 QUANTITATIVE CHEMICAL ANALYSIS. H3P04 + i2(NH4)2Mo04 + 2iHN03= (NH4)3P04i 2M0O3 + 21NH4NO3 + i2H20. 2(NH4)3P04i2M0O3 = 24M0O3P2O5 + 6NH3 -j- 3H20. Report the amount of P2Os in the portion of solution given you. (b) Precipitation as Ammonium-Magnesium Phosphate. —The phosphate may be at once precipitated by magnesia mixture (see determination of magnesium), or, the phos- phomolybdic precipitate may be redissolved and precipitated by magnesia mixture. If the latter method is employed, after washing the molybdate precipitate a beaker is placed under the funnel and the filter pierced ; wash the precipi¬ tate into the beaker with a fine stream of water. Moisten the paper with a little ammonia and wash with a small quantity of hot water. Add sufficient ammonia to dissolve the precipitate. Add hydrochloric acid to neutralize the solution, but if phosphomolybdate should be again pre¬ cipitated add more ammonia to dissolve it. Again make the solution acid with hydrochloric acid, and add sufficient magnesia mixture to precipitate all the phosphate present. With constant stirring, add ammonia to the mixture until it is neutral and then add a slight excess of ammonia. Set the mixture aside over night, then filter off the pre¬ cipitate, wash with dilute ammonia, ignite and weigh. The residue is magnesium pyrophosphate. If the sample of phosphate to be analyzed contains only the alkali metals and if ammonium salts are present in moderate quantity only, the determination by magnesia mixture is satisfactory; but if other metals are present, precipitation by phosphomolybdate solution is advantage¬ ous, but hydrochloric, sulphuric and boric acids must be absent. The quantity of nitric acid present should not exceed 1.6 cc. of the concentrated variety for every 100 mg. of phosphoric acid. In case the latter method is em¬ ployed better results are secured by transforming the quantitative: chemical analysis. 45 molybdate precipitate into ammonium-magnesium phos¬ phate, and igniting to magnesium pyrophosphate. The determination of phosphorus constitutes one of the important features of fertilizer analysis, and the method of the Association of Official Agricultural Chemists should be read (U. S. Dept. Agr., Bur. Chem., Bull. 107). (a) By Loss.—Use the apparatus- shown in Fig. 11, Mohr's alkalimeter. Weigh out 2-3 grams of the powdered carbonate material and put into the flask a; nearly fill bulb c with dilute hydrochloric acid, partly fill bulb f with concentrated sulphuric acid. Insert the bulbs into their respective places in the flask. Weigh the whole apparatus, Exercise XV. Determination of Carbon Dioxide. Fig. 11.—Mohr's alkalimeter. 46 QUANTITATIVE CHEMICAL ANALYSIS. then remove from the balances and turn stop-cock d so as to allow the hydrochloric acid solution to flow into the flask and decompose the carbonate. When the acid has all run out close the stop-cock again, allow the apparatus to set until the evolution of C02 has ceased, and then warm gently on the hot plate to expel the gas. Bring the apparatus to the temperature of the laboratory and replace the carbon- dioxide in the apparatus with air by careful suction at e, having opened stop-cock d. Weigh the apparatus; the loss in weight will be the carbon dioxide. This method of the determination of carbonates is not accurate, but will serve very well for such work as the comparison of available C02 in different baking powders. In such cases water would be used in bulb c instead of quantitative; chemical analysis. 47 hydrochloric acid, unless the object were to determine total C02. (ib) By Absorption.—This method depends on the absorp¬ tion of C02 by caustic potash and the determination of the quantity involved by the increase of weight of the bulb. A satisfactory way of doing this is by the method of Rose, illustrated at Pig. 12. Tube g, which is about 70 cm. long, is half-filled with calcium chloride, as shown, a plug of glass wool being placed near its middle. A stream of dry carbon dioxide is blown through the tube to saturate the calcium chloride, after which dry air is blown through. The potash bulb h is partly filled with caustic potash solu¬ tion, and the U-tube k is filled with calcium chloride. The whole apparatus must be tested for air-tightness and the rubber connections are to be coated with shellac. Weigh out about 1 gram of the carbonate material and put into flask a ; put about 50 cc. of dilute hydrochloric acid into dropping funnel c, with which is connected the tube b filled with calcium chloride. Carefully weigh the potash bulb and record its weight. When the potash bulb has been again attached and the apparatus made air-tight, open the stop-cock of the dropping funnel and allow the dilute acid to run into the flask at such a rate that no more than two bubbles of gas per second pass through the potash bulb. After the acid has all run in, close the stop-cock and gently heat the flask, gradually bringing it to the boiling point. It must not be boiled to the extent that the gases pass through the caustic potash in a solid stream, but in a series of bubbles which may be counted. When the opera¬ tion is completed, open the stop-cock of the dropping funnel and draw air through the apparatus to thoroughly remove all carbon dioxide. Remove the caustic potash bulb and again weigh. The increase in weight will be the weight of the carbon dioxide. This method has been slightly modified from the usual manner of conducting the determination and some details 48 QUANTITATIVE CHEMICAL ANALYSIS. omitted, but careful attention to carrying out the experiment as given will result in a fair degree of accuracy. Chapter V. ELECTROLYTIC METHODS. Electrolytic analysis depends on the fact that many metals may be separated from solutions of their salts by deposition on a suitable electrode, dried and weighed. For the purpose of studying electrolytic effects, consider first two platinum electrodes immersed in pure water and con¬ nected with a source of electricity. It is easily demonstrated that no current will flow through the water from electrode to electrode. Now, dissolve in the water some copper sulphate ; a current passes. The explanation offered is that copper sulphate in solution dissociates into Cu cathions and S04 anions, and the current is conveyed through the solution by these ions. The copper ions, bearing a positive charge, go to the negative electrode and there yield up their electrical charge, the ionic copper being deposited as metallic copper. The amount of electrical charge borne by each ion is proportional to the valence of the substance, hence, all ions of equal valence carry the same amount of electrical charge. It also follows that the amount of substance deposited by a given current must be directly proportional to its atomic mass and inversely proportional to its valence. For each metal there is a minimum of potential difference at which it will be deposited, which makes it possible to separate metals in solution by electrolyzing at increasing voltages as each metal is successively removed. Metals tend to redissolve in the media in which they are deposited and the amount of current in amperes must be sufficient to deposit the metal faster than it dissolves. The surface area of the electrode will determine the amount of QUANTITATIVE CHEMICAL ANALYSIS. 49 current, since the whole surface of the electrode presents deposited metal to the action of the solvent. Current Density.—By current density is meant the amount of amperage per unit area, usually 100 sq. cm. One ampere per 100 sq. cm. is expressed by the formula, CD100; 1.25 amperes per 100 sq. cm. by CD100= 1.25 amperes. Source of Current.—The commercial no-volt direct-cur¬ rent lighting circuit may be used if means are employed to reduce the voltage and control the amperage. Amperage may be satisfactorily controlled by passing the current through lamps of suitable resistance connected in parallel. Lamps are rated in candle-power or in watts. The watt is an electrical unit found by multiplying the voltage of the circuit by the amperes used. A lamp of 25 watts rating will draw from the no-volt circuit, .2277 amperes (25 -r- 110 = .2277); 50 watts, .4554 amperes; 100 watts, .910 amperes, etc. Carbon filament lamps rated as 16 candle- power, pass .4 ampere; 32 candle-power, .8 ampere ; 50 candle-power, 1.2 amperes. When lamps are connected in parallel the value of the current is the product of the amperage of one lamp by the total number of lamps ; if in series, it is the quotient of the amperage of one lamp by the total number of lamps. The voltage employed must be sufficient to carry the de¬ sired amount of current through the solution being elec- trolyzed, since the current in a circuit is directly proportional to the voltage and inversely proportional • to the resistance (Ohm's law). When the no-volt circuit is used the elec¬ trolytic solution is placed in shunt with an adjustable re¬ sistance and in series with the parallel lamp bank. The voltage is brought to the proper value by sliding the shunt contact along the resistance member until the voltmeter or ammeter indicates the proper passage of current. The storage battery is also a convenient source of cur¬ rent, the amperage being controlled by suitable resistance coils. The single storage cell gives a voltage of 2.2 when 4 5° QUANTITATIVE CHEMICAL ANALYSIS. charged, and when connected in series the voltage is the product of a single cell by the total number of cells. Do not attempt to measure the current of the storage battery with an ammeter; there is danger of damaging the outfit through the short circuiting of the battery. An adjustable resistance is to be used in series with the solution. Fig. 13.—Open cylindrical and helical electrodes. Electrodes.—The electrodes for electrolysis consist of cylinders of platinum, one smaller than the other, so as to be placed within it, or the smaller electrode may be a spiral or helix of platinum wire. Sometimes the op¬ eration is carried on in a platinum dish which forms the electrode for receiving the deposit. The time devoted to electro-deposition is shortened by warming the solution to 6o°-y^° C.; also, deposition takes place in better form if the electrode is rotated. Exercise XVI. Determination of Silver in Solution. Pour the silver solution furnished you into 25 cc. of potassium cyanide solution containing 3 grams of the salt. Connect the electrolysis apparatus, the cylinder electrode quantitative chemical analysis. 51 being attached to the negative wire, the helix to the positive. Warm the solution to 65° C. Pass a current of .4 ampere at a pressure of 2.5 volts. At the end of 3 hours remove a drop of the solution on a clean glass rod and pass into hydrochloric acid in a small test tube and observe if there is any cloudiness produced; if so, continue the electrolysis until the test shows tke absence of silver in the solution. Siphon off the solution, at the same time adding distilled water. Caution : Do not inhale the vapors arising during electrolysis, nor Jill the siphon by suction. Rinse off the electrode with alcohol and dry for ten. minutes in the oven at ioo° C. Cool, weigh and calculate, the amount of silver nitrate in the solution given you. Exercise XVII. Determination of Copper in Solution. Weigh out about 1.2 gms. of crystallized copper sulphate, dissolve in 100 cc. of water and add 1 cc. of concentrated nitric acid. Warm the solution to 70° C. Connect the cylinder electrode to the negative wire, as in the exercise above, and pass the current at .1 ampere at 2 volts. When there is no longer any blue color left in the solution remove a few drops and treat with concentrated ammonium hydroxide to test whether the copper has all been removed. If not, neutralize the portion tested for copper by nitric acid, return to the beaker containing the solution and continue the electrolysis for some time longer, and until the test shows that all copper has been removed from the solution. Siphon off the liquid, adding water, and then rinse with alcohol, dry and weigh as in the exercise above. Calculate the per cent of copper in crys¬ tallized copper sulphate. 52 QUANTITATIVE CHEMICAL, ANALYSIS. SECTION III. VOLUMETRIC ANALYSIS. Chapter V. General Principles. It has already been stated that volumetric determinations require the use of test solutions of definite strength, and the amount of substance to be determined is calculated from the volume of the test solution required to complete a reaction. Solutions for chemical operations are made up in terms of molar concentration, percentage strength, or normality; and, in some instances, an arbitrary standard of strength is selected. Volumetric test solutions are usually made up on the basis of normality. A Normal Solution is one which contains in one liter of solution an amount of the test reagent equivalent to one gram of hydrogen. On this basis solutions may be multiples or submultiples of a normal solution. Usually for analytical purposes submultiples of the normal solution are used, as, half-normal (N/2), fifth-normal (N/5), tenth-normal (N/10), centi-normal (N/100), etc. These solutions contain respect¬ ively, one-half, one-fifth, one-tenth, one-hundredth, etc., as much of the reagent in one liter of solution as contained in a normal solution. It has already been indicated that volumetric estimations are based on the complete reaction between the reagent and the substance tested. Consider the formula weights of hydrochloric acid, sulphuric acid and sodium carbonate, and the reactions between these two acids and the carbon¬ ate : the formula weight of hydrogen chloride is 36.462 ; of hydrogen sulphate, 98.09 ; of sodium carbonate, 106. The reactions are as follows : quantitative: chemical analysis. 53 2HC1 + Na2C03 = 2NaCl + H20 + C02. H2S04 + Na2C03 = Na2S04 + H20 + C02. It is plain that hydrochloric acid contains one equivalent of hydrogen, sulphuric acid two equivalents, while sodium- carbonate, though not containing hydrogen, is equivalent to one hydrogen sulphate, therefore, equivalent to two- hydrogen grams. Normal solutions of these would contains in one liter one formula-weight of hydrogen chloride, one-- half formula-weight of hydrogen sulphate and of sodium carbonate. Rule.—The amount of substance required to make a liter of normal solution is found by dividing the formula-weight by its hydrogen equivalent. For ordinary reactions the hydrogen equivalent may be determined by the valence of the compound. If the sub¬ stance is a solid containing water of crystallization, the water is added to the formula-weight of the substance. Making Volumetric Solutions.—If the reagent is a pure, solid substance the required amount is carefully weighed out and transferred to a volumetric flask of suitable capa¬ city. A portion of distilled water is added, the reagent thoroughly dissolved, and more water added exactly to the mark on the neck of the flask, and at the temperature at which the flask was calibrated. Then the solution should be thoroughly mixed. Instead of trying to get an exact, fixed weight of reagent it will be found more convenient to weigh out a quantity of material as near the amount wanted as convenient, and calculate the volume of solution which this quantity of reagent will make. Example: Suppose it is desired to make a normal solution of sodium carbonate, and that 53* I5° grams have been weighed out (53 grams are required to make a liter of normal solution). By the proportion 53 : 1,000 cc. : : 53.150 : x = 1,002.8 cc., the volume (1,002.8 cc.) is found to which the solution of the weighed material 54 QUANTITATIVE CHEMICAL ANALYSIS. must be made up. If the weighing and measuring are correctly done the solution will be normal. In the example cited above it would be convenient to choose a flask marked to deliver 500 cc. Placed the weighed material in the flask, add water enough to dissolve the salt and then fill exactly to the mark. Now transfer the solution to a bottle large enough to hold the entire amount of solution to be made. Add more water to the 500 cc. flask, giving the flask a rotary motion so as to thoroughly incorporate the solution from the first mixing which still adheres to the flask, and finally again fill exactly to the deliver mark and transfer to the bottle ; 2.8 cc. still -remain to be added and may be measured with a pipette or with a burette, after which the solution should again be Ihoroughly mixed. If it is desired to make a solution of a reagent which is already in solution, or which is a liquid, its strength may be ascertained by a gravimetric analysis ; or, if its specific gravity is known reference to tables will show the strength. Then a suitable portion may be diluted to a concentration somewhat greater than that desired, and afterward standard¬ ized against another solution of known concentration, or a gravimetric determination may be made. Solutions of the mineral acids are conveniently made in this way. Sulphuric acid may be standardized by precipi¬ tation with barium chloride; hydrochloric acid, by silver nitrate, etc. There is to be found in the market a variety of apparatus for finding the specific gravity of liquids by direct weighing. Of specific-gravity bottles, one of the simplest forms is that figured at C, Fig. 14. At B, Fig. 14, is illustrated a hydrometer graduated for densities of 1.000 to 1.200. The instrument is immersed in the liquid to be tested and the specific gravity is read off directly when the liquid is at the temperature of stand¬ ardization of the instrument. QUANTITATIVE) CHEMICAL ANALYSIS. c Fig. 14.—A, Westphal balance; B, hydrometer ; C, specific gravity bottle. The Westphal balance is shown at A, Fig. 14. The beam of the balance is divided into 10 equal parts, the tenth division coinciding with the point of suspension of 56 quantitative; chemical analysis. the hanger to which the plummet is attached. The plummet embodies a thermometer, and when immersed in pure water the pointer on the beam is brought to coincide with the fixed pointer of the balance by raising or lowering the apparatus by means of the screw shown in the base of the balance. In the illustration the largest weight is shown at 7, the next larger at 9, and the smallest at 5. The specific gravity would be read .795« For specific gravities greater than water a weight equal to the largest is swung from the hanger. The other weights are read as already indicated, e. g., 1.795. Titration.—Titration means the addition of the test reagent to the solution tested in measured quantities until the reaction is complete. The addition of the test reagent is accomplished by means of the burette, described under measuring vessels. The solution to be tested may be measured from a burette or a pipette ; but it is important that the measuring vessels used should agree, or the proper correction made for any errors which may exist. Always, in using a burette, allow a few minutes to elapse before making the reading in order that the film of liquid adhering to the walls of the instrument may drain ^nd show the correct height of reagent. When the end-point is reached the flow of reagent is stopped immediately, and if the color change is very deep the titration should be repeated, adding less reagent than at first and completing the titration by the addition of single small drops. In any case titrations should be done in du¬ plicate and should agree within one-tenth of a cc. Correction Factor.—When a test reagent is greater or less than the desired concentration the increment of error is added to or subtracted from that strength as unity, making a factor for correction of the amount of reagent added, thus, "1.057 N/10 hydrochloric acid," or, "0.996 N/10 hydro¬ chloric acid." The number of cc. used, multiplied by the quantitative; chemical analysis. 57 correction factor gives the correct number of cc. in the basic normality. Indicators.—The end-point, or completion, of a reaction is shown by the color change of a substance added to the solution tested, called an indicator. Some indicators pos¬ sess a dual character of acid and alkaline properties with one or the other predominating. For this reason some are more sensitive to acids than to bases, and vice versa, while others are moderately sensitive to both acids and bases. Some indicators commonly used with acids and bases are : i, phenolphthalein ; 2, rosolic acid ; 3, methyl orange ; 4, cochineal; 5, litmus. One and 2 are very sensitive to acids ; 3 and 4, to bases ; 5 is moderately sensitive to both acids and bases. PhenolphthalEin is a yellowish-white powder, almost insoluble in water. Solutions for use in volumetric analyses are prepared by making a 1 per cent solution in 50 per cent alcohol. It is colorless with acids; with bases it gives a bright pink to deep red color. Rosolic Acid occurs in fairly large crystals of an irri- descent red color. It gives a red color with bases and a yellow with acids. It is made up in 1 per cent solution in 60 per cent alcohol. Methyl Orange occurs as a yellow powder, yielding a yellow solution in water. Solutions of about .1 per cent are generally used. It is yellow with bases and red with acids. Cochineal owes its coloring properties to carminic acid, and is derived from the bodies of the dried female insect, coccus cacti, Linn£. The indicator solution is made by digesting the dried insects with alcohol. It is violet with bases and red with acids. Litmus is derived from certain lichens. Watery solu¬ tions are used, giving red with acids and blue with bases. Its moderate sensitiveness render it of little use in close work in analysis. Care must be taken not to use too much indicator solu¬ tion. Usually one drop, or two, will be sufficient, and in QUANTITATIVE CHEMICAL ANALYSIS. any case not more than three drops of solution will be re¬ quired. Volumetric Equivalents and Calculations.—A volumetric equivalent is the amount in grams of the substance tested equivalent to the number of grams of the test reagent con¬ tained in i liter of the test solution. Volumetric Factors.—By dividing the quantity per liter of normal strength by 1,000, the equivalent per cc.,—volu¬ metric factor,—is obtained ; or, if the test solution is tenth¬ normal, divide by 10,000. When the manner of arriving at the volumetric factor is understood it will be seen that, expressed in milligrams, it is equal to the number of grams of the substance required to make a solution of concentration equal to the test solution. Thus : (a) What is the normal volumetric factor for sodium carbonate ? The amount of sodium carbonate required to make a liter of normal solution is 53 grams; therefore, 53 grams h- 1,000 = 0.053 gram = 53 milligrams. (3) Sodium carbonate solution is titrated with 1.02-nor- mal sulphuric acid solution ; what is the volumetric equiva¬ lent or factor? Multiply the normal volumetric factor for sodium car¬ bonate by 1.02 X 0.053 §"m- = 0.05406 gm. The following examples of volumetric calculations are added by way of illustration : 1. 25 cc. of a solution of hydrochloric acid require 60 cc. of N/10 sodium hydroxide solution for saturation; how much hydrochloric acid in the solution ? The N/10 factor for hydrochloric acid is 0.003646 gm. Then, 60 X 0.003646 = 0.21876 gm. HC1 in the 25 cc. of solution. 2. How much HC1 in a liter of the solution ? Since 25 cc. contain 0.21876 gm., 1,000 cc., or 1 liter, ,, ^ . 1,000 X 0.21876 would contain — = 8.7504 gms. ^5 3. What is the per cent strength of the acid solution ? QUANTITATIVE CHEMICAL ANALYSIS. 59 To calculate the per cent of acid the specific gravity of the solution must be known. Then, (25 X S. G. of solution) : (HC1 in 25 cc.) : : 100 : x. In the above statement (25 X S. G.) gives the weight of 25 cc. of the solution. 4. What is the normality of the solution ? A normal solution of hydrochloric acid contains in 1 liter 36.464 gms. HC1; therefore, the solution is normal. 36.464 Or, since a N/10 solution contains 3.464 gms. HC1 per liter, 8.7504 -7- 3.464 = 2.4 i. e., the solution is 2.4 X N/10. 5. How should the solution be diluted to bring it to decinormal concentration ? Since the solution is 2.4 X N/10, one volume of the strong solution must be diluted with distilled water to make exactly 2.4 volumes. 6. The solution just tested was made by taking 10 cc. of acid from the stock bottle and diluting to 400 cc,; what is the strength of the acid in the stock bottle ? Since 10 cc. of the stock acid were used and diluted to 400 cc. the solution is 1/40 the concentration of the stock acid ; or, in other words, the stock acid is 40 times the concentration of the solution, which has been shown to be 2.4 N/10, or .24N. Then 40 X .24N = 9.6N, the concen¬ tration of the stock acid. Chapter VI. ACIDIMETRY AND ALKALIMETRY. Acidimetry is the determination of the amount of an acid in solution by volumetric methods. Alkalimetry is like¬ wise the determination of the amount of a base in solution by volumetric methods. Standard solutions of bases and acids are required in the respective cases. Standard Oxalic Acid Solution.—Crystallized oxalic acid (C2H204.2H20) may be obtained of sufficient purity to be used for making a standard solution directly from the 6o QUANTITATIVE CHEMICAL ANALYSIS. weighed portion. It has the disadvantage that its solutions are not permanent, but the advantage of a pure, solid acid substance for a starting solution is obvious. The recently- prepared oxalic acid may be used for standardizing an alkaline solution which may then be likewise employed for more stable acids. Carefully weigh out from a weighing bottle what is judged to be about 6.3 grams of oxalic acid (H2C204.2H20). Calculate the volume of N/10 solution to be made from the amount weighed out. Since 6.3 grams of oxalic acid are required to make a liter of N/10 solution, the following proportion will give the volume of solution to be made : 6.3 : 1,000 cc. : : weight found : required volume of solution. Standard Hydrochloric Acid Solution.—Make a N/10 solution of hydrochloric acid. First Method.—Take the S. G. of a sample hydrochloric acid from the stock bottles and, by reference to a table of properties, calculate the amount of dilution necessary to bring a portion of the acid to a strength somewhat greater than N/10. Prepare such a solution, and determine its strength by precipitation with silver nitrate and a gravi¬ metric determination. Standardize according to the findings of the gravimetric determination, and again determine its strength in the same way. Density and Concentration of Hydrochloric Acid at 15°. (Normal HC1 =36*47 grams per litre.) Density 16°/4°. 100 grams contain grams HC1. 1 litre contains grams HC1. Nor¬ mality. Density 100 grams, contain -grams HC1. 1 litre contains grams HC1. Nor¬ mality. 1*010 2*14 22 0*6 1*110 21*9 243 6*7 1*020 4*13 42 1*2 1*120 23*8 267 7-3 1*080 6*15 64 1*8 1*180 25*7 291 8*0 1*040 8*16 85 2*3 1*140 27*7 315 8*6 1*050 10*17 107 2*9 1*150 29*6 340 9*3 1*060 12*19 129 3*5 1*160 31*5 366 10*0 1*070 14*17 152 4*2 1*170 33*5 392 10*8 1*080 16*15 174 4*8 1*180 35*4 418 11*7 1*090 18*1 197 5*4 1*190 37*2 443 12*1 1*100 20*0 220 6*0 1*200 39*1 469 12*9 QUANTITATIVE CHEMICAL ANALYSIS. 61 Second Method.—Prepare a N/io hydrochloric acid solu¬ tion from constant-boiling acid. Hydrochloric acid by dis¬ tillation reaches a concentration at which the boiling point remains constant. This is known as constant-boiling acid, which, at 760 mm. pressure, in 180.170 grams contains one mole, or 36.464 grams of hydrogen chloride, the quantity required to make one liter of normal solution. To make a N/10 solution, measure into a tared 100 cc. flask 17.3 cc. of constant-boiling hydrochloric acid; weigh carefully, and calculate the volume of N/10 solution to be made; 18.017 : 1,000 cc. : : gms. found : x= number of cc. of total volume of solution. Pour the weighed acid into a flask of suitable size, as already described, and rinse the 100 cc. flask several times with distilled water, pouring each rinsing into the flask with the acid. Finally bring the volume up exactly to that which was calculated. This solution may be standardized against a standard solution of an alkali or by a gravimetric determination. If, however, due caution has been taken that everything should be just" right in the making, the solution maybe accepted as N/10. Standard Sulphuric Acid Solution.—A convenient way of making a standard solution of sulphuric acid is to dilute the concentrated acid to about 30 per cent, at which strength it possesses the advantage of greater change in specific gravity with smaller changes in concentration, and is not hygroscopic. Take the specific gravity and find the per cent of H2S04 by reference to tables. The requisite amount of acid in cubic centimeters or grams is taken and diluted to make the solution of desired strength. It is preferable to weigh the acid, since errors by this method will be smaller than by volume measurement. The amount of acid required in grams is found by the proportion ; per cent of acid : 100 : : gms. H2S04 required : x = gms. of acid to weigh out. The amount of acid to be measured in cc. is found by 6z QUANTITATIVE CHEMICAL AN"AI,Y"SFS. dividing the number of grams of H2S04 required, multiplied by 100, by the product of the per cent of the acid and the specific gravity. Example: 4.9 gms. of H2S04 are required to make one liter of N/10 solution. If it is to be made from 30 per cent acid, S. G., 1.2228, then, *°°8 = I3-35 cc- Density and Concentration of Sulphuric Acid at 15°. (Normal H2S04 = 49*04 grams j>er litre!) Density 150/4°. 100 grams contain grams H2SO4. 1 litre contains grams H2S04. Nor¬ mality. Density 100 grams contain grams H2SO4. 1 litre contains grams H2SO4. Nor¬ mality. 1-006 1 10*1 0*20 1*449 55 797 16*25 1013 2 20*3 0*41 1*502 60 901 18-38 1*020 3 30*4 0*62 1-558 65 1013 20*65 1*026 4 41*0 0*84 1*615 70 1130 23*05 1*033 5 51*6 1*05 1*674 75 1248 25*60 1*040 6 62*4 1*27 1*732 80 1386 28*20 1*047 7 73 *"3 1*49 1*784 85 1520 30-92 1*054 8 84*3 1*72 1-820 90 1540 33*40 1*061 9 95*5 1*95 1*825 91 1660 33*86 1*068 10 106*8 2*18 1*829 52 1680 34*32 1*104 15 160*6 3*38 1*833 93 1710 34*76 1*142 20 228 4*66 1*886 94 1730 35*20 1*182 25 296 6*02 1*839 95 1750 35*62 1*222 30 367 7*48 1-841 96 1770 36*03 1*264 35 444 9*02 1-841 97 1790 36-42 1*306 40 522 10*66" 1*841 98 1800 36*79 1*851 45 608 12*40 1-839 99 1820 37*13 1*399 50 700 14*26 (1-836) 100 (1836) (37-4) Standard Sodium Carbonate Solution.—Sodium carbon¬ ate (Na2C03 = 106) is obtainable in its pure, anhydrous form, or may.be prepared by heating pure bicarbonate of sodium to a temperature of 300 0 C. for about 1 hour. Tests should be applied to the carbonate, or to the bicarbonate if the latter is to be the source of the carbonate, for the presence of chlorides and sulphates. Normal solutions of sodium carbonate contain 53 grams per liter, and if the solution is carefully made it will not be necessary to standardize it, and it may be used, if desired, as a starting solution in acidimetry and alkalimetry. QUANTITATIVE CHEMICAL, ANALYSIS. 63 Standard Sodium Hydroxide Solution.—With pincets remove a " stick" of sodium hydroxide from the bottle and quickly, between pieces of filter paper, break off a length of about 5 cm. Transfer immediately to a suitable bottle and add about 1,000 cc. of distilled water, stopper the bottle, and shake to dissolve the hydroxide. Set aside to cool; again shake well to mix thoroughly, and titrate against a standard acid as follows : Fill a burette with N/io hydrochloric acid and bring the level of the acid to the zero graduation. Measure from a second burette, or carefully, with a transfer pipette, 25 cc. of the sodium hydroxide solution into a 150 cc. Erlenmeyer flask, being careful that none of it lodges in the neck of the flask. Titrate immediately with the N/10 acid, using methyl orange as the indicator. Solutions of sodium hydroxide must be carefully protected from the atmosphere of the laboratory, on account of absorption of carbon dioxide, and should frequently be checked against a standard acid. Exercise XVIII. Determination of A mount of a Base in Solution. An instructor will furnish you with a solution of a base. Do not remove from the beaker in which it is given you, but dilute with distilled water, add a drop of phenol phtha- lein solution, and titrate with N/10 hydrochloric acid solu¬ tion. Report the amount of potassium hydroxide in the solution. Exercise XIX. Determinatio7i of a Carbonate. Proceed in general as in exercise XVIII. Titrate with a N/10 acid, using methyl orange as indicator. Report sodium carbonate. 64 QUANTITATIVE CHEMICAL ANALYSIS. Exercise XX. Determination of a Bicarbonate. Add to the solution of bicarbonate given you an excess of sodium hydroxide solution, after which a slight excess of barium chloride solution is added to precipitate the carbon dioxide. Add a drop of phenolphthalein solution and titrate the excess alkali with N/io acid, constantly stirring the mixture. From the difference between the amount of alkali added and that found by titration, calculate the amount of sodium bicarbonate. Exercise XXI. Determination of Carbonate and Bicarbonate in Mixed Solution. Determine total alkalinity by titration as in Exercise XIX. Treat a second portion of the solution as in the determina¬ tion of bicarbonate. Calculate the amount of sodium car¬ bonate and sodium bicarbonate in the solution. Exercise XXII. Determination of Caustic Soda and Sodium Carbonate in Mixed Solution. Add a drop of phenolphthalein to the solution and titrate with N/io acid until the pink color just disappears. Record the number of cc. used. Add a drop of methyl orange to the same solution and continue the titration until a faint permanent pink color is produced. In the first titration, using phenolphthalein as indicator, the NaOH and half the Na2C03 were neutralized according the equations; NaOH + HC1 = NaCl + H20 (i) Na2C03 + HC1 = NaHCOs + NaCl (2). QUANTITATIVE CHEMICAL ANALYSIS. 65 In the second titration, with methyl orange as indicator, the bicarbonate formed by the reaction in the first part was neutralized ; NaHC03 + HC1 = NaCl + H20 + C02. The sodium carbonate titration is found by taking twice the number of cc. used in the second part of the titration, and this number subtracted from the total number used, gives the titer of the caustic soda. Exercise XXIII. Determination of Acid Strength. Withdraw 10 cc. of acid from one of the stock bottles designated by an instructor, dilute to 250 cc., and use por¬ tions of 25 cc. for titration with N/10 caustic soda solution. Find the specific gravity of the acid in the stock bottle and calculate its per cent strength. Chapter VII. OXIDATION REACTIONS. N/10 Potassium Permanganate Solution. — Potassium permanganate, as an oxidizing reagent in the presence of sulphuric acid, yields free oxygen according to the follow¬ ing equation : 2KMn04 + 3H2S04 = K2S04 + MnSO, + 3H20 + 5O. 5O = 10H, hence, 1/10 the double formula weight of potassium permanganate (316 X 1/10= 31-6) is the hydro¬ gen equivalent, or the amount in grams which dissolved in one liter will make a normal solution. To prepare a N/10 solution, weigh out slightly more than 3.16 grams of the salt, transfer to a perfectly clean liter flask, add about 500 cc. of distilled water and dissolve. 5 66 QUANTITATIVE CHEMICAL ANALYSIS. When solution is complete, add water to the mark, and mix thoroughly. Allow to stand for about 24 hours and filter through asbestos. Put into a clean, glass-stoppered bottle and protect from light. The solution may be standardized against a solution of iron wire, ferrous ammonium sulphate, oxalic acid, etc. Ferrous ammonium sulphate is a very convenient sub¬ stance for the purpose. Weigh out, as nearly as possible, 1 gm. of ferrous ammonium sulphate, dissolve in 25 cc. of dilute sulphuric acid, and titrate with the potassium permanganate solution. The end-point of the reaction will be shown by the pink color imparted by the un¬ changed potassium permanganate. If exactly 1 gm. of ferrous ammonium sulphate were used, and if the permanganate solution were exactly N/10, 25.5 cc. of the permanganate solution would have been required to oxidize the salt. But suppose that 24.7 cc. were used ; then, 24.7 : 25.5 : 11 : x = 1.0323 N/10 (1 in the equation standing for the unit strength of the solution, i. e., N/10). If the concentration is close to N/10 it is better to make no attempt to dilute it to exact N/10 concentration, but put on the label the strength as found. Potassium permanganate may be used for the determination of several substances, such as iron, calcium, oxalic acid, oxalates, peroxides, nitrites, nitrates, etc. N/10 Potassium Dichromate Solution.—Potassium di- chromate liberates oxygen according to the equation, K2Cr207 -f- 8HC1 = 2KCI -f- CrCl3 -f- 4H20 -f- 3O. 3O = 6 H, hence, 1/6 the formula weight of potassium dichromate (294 X 1/6 = 49) is the hydrogen equivalent, or the quantity required to make one liter of normal solution. Make a N/10 solution by dissolving 4.9 grams in a liter of water in the same general manner as already described under other solutions. QUANTITATIVE CHEMICAL ANALYSIS. 67 Potassium dichromate may be purchased of such a high degree of purity that solutions carefully made, need not be standardized. However, it may be standardized, if desired, against ferrous ammonium sulphate as follows : Prepare a fresh solution of potassium ferricyanide, by washing off a small crystal to remove superficial ferrocyanide, and dissolve to a concentration of about 0.1 per cent. Prepare a ferrous ammonium sulphate solution as in standardizing potassium permanganate. Run into the ferrous ammonium sulphate solution, from a burette, an amount of potassium dichromate solution which is calculated to be less than required to react with the iron salt. Remove a drop of the mixture in the beaker with a clean glass rod to a piece of porcelain. With another clean glass rod bring a drop of the potassium ferricyanide indicator into contact with the drop of the mixture; a pre¬ cipitate is formed, showing the presence of ferrous iron. Continue the titration with the dichromate solution, adding only very small quantities at the time, and after every addition make the test with a small drop of the mixture as before. As the quantity of ferrous iron in the solution diminishes, the color of the precipitate will pass from blue to light green, and finally, when the end point has been reached, there will be no color at all. The first titration will likely be incorrect and several titrations should be made to get the correct titer. Potassium dichromate solutions may be used for the determination of iron and for the standardization of sodium thiosulphate solutions. It possesses the following advan¬ tages over potassium permanganate: (1) when the pure salt is used it is not necessary to standardize the solution; (2) the solution is stable; (3) it does not attack rubber and may be used with any type of burette; (4) it may be used in the presence of hydrochloric acid. Its chief disadvantage lies in the fact that titrations are somewhat tedious on account of the necessity for using an indicator outside of the solution. 68 QUANTITATIVE CHEMICAL, ANALYSIS. Exercise XXIV. Determination of Iron in an Ore. (a) By Potassium Permanganate.—Weigh out from a weighing bottle about 0.3 gram of the ore into a casserole. Add 1—3 cc. of 2.5 per cent stannous chloride solution and 20 cc. of hydrochloric acid, S. G. 1.12. Cover the casserole and heat the mixture on the hot plate until the iron is all dissolved and the residue is white. The solution should be yellow ; if it is colorless, add hydrogen peroxide to destroy the excess of stannous chloride and to cause the solution to become yellow. Drops of the solution adhering to the sides of the casserole and the cover must be washed down into the casserole with a stream from the wash-bottle. While the solution is still hot, add drop by drop, very dilute stannous chloride solution until the iron is reduced as shown by the solution becoming colorless or greenish. Dilute to about 50 cc. and add 10 cc. of saturated mercuric chloride solution, which should give a silky precipitate of mercurous chloride ; if the precipitate is black, an excess of stannous chloride is present and the solution cannot be used. The titration is to be carried out with potassium per¬ manganate, and it is important that the quantity of hydro¬ chloric acid present be as small as possible, and sulphuric acid depended upon to give acidity to the solution. For this purpose, and other advantages, use is made of a solution made by dissolving 160 grams of manganese sul¬ phate in 1,750 cc. of water, to which are added 330 cc. of syrupy phosphoric acid, S. G. 1.7, and 320 cc. of sulphuric acid, S. G., 1.82. Pour the iron solution into 500 cc. of cold water containing 10 cc. of the manganese solution just described, and titrate immediately with N/10 potassium permanganate solution. The end point is reached when the first pink color is pro- QUANTITATIVE CHEMICAL ANALYSIS. 69 duced which diffuses throughout the whole mixture and then fades away. Calculate the per cent of iron in the ore. (b) By Potassium Dichromate.—Prepare the solution of iron ore as given above as far as the addition of the mercuric chloride solution. Dilute the solution to 500 cc. with cold water, add 20 cc. of concentrated hydrochloric acid and titrate with N/10 potassium dichromate solution, using potassium ferricyanide solution as indicator as described under standardization of a dichromate solution. Questions. 1. In what terms is the concentration of chemical solu¬ tions stated, and which of these is generally used for vol¬ umetric test solutions ? 2. What is a normal solution ? 3. Describe the general procedure in making a solution, of definite strength of a solid reagent. 4. Describe three ways of finding the specific gravity of a liquid. 5. How may the specific gravity of liquid reagents be made use of in making solutions of them ? 6. What is meant by titration ? 7. What is an indicator ? Name and describe five in¬ dicators. 8. Define volumetric equivalent and volumetric factor. 9. Define acidimetry and alkalimetry. 10. Describe a method of making and standardizing a decinormal solution of hydrochloric acid. 11. What would be the correction factor in terms of nor¬ mality for a hydrochloric acid solution which contains 36 gms. per liter ? 12. Describe the making of an approximate 18 per cent solution of hydrochloric acid from the concentrated form of specific gravity 1.2. 13. What precautions are to be taken with solutions of the caustic alkalies ? 7° QUANTITATIVE CHEMICAL ANALYSIS. 14. Discuss the determination of sodium carbonate and bicarbonate in mixed solution. 15. Discuss the advantages and disadvantages of potas¬ sium permanganate and' potassium dichromate solutions. 16. What is the ferrous ammonium sulphate equivalent of 1 cc. of a potassium permanganate solution containing 3 gins, per liter ? 17. One cc. of potassium permanganate solution is equiv¬ alent to .005 gms. of iron ; what is its calcium equivalent ? 18. How much hydrogen peroxide will be oxidized by 50 cc. of N/15 potassium permanganate? Chapter VIII. IODIMETRY. Iodine is an oxidizer both in acid and neutral solutions, and with sodium thiosulphate forms a useful means of making several determinations. Substances which are oxidized by iodine or reduced by sodium thiosulphate may be determined by the use of these two solutions. For ex¬ ample : (1) copper acetate, treated with potassium iodide solution, will precipitate cuprous iodide and liberate iodine according to the equation, 2 Cu(C2H203)2 + 4KI = Cu2I2 + 4KC2H203 + I2. The mixture is titrated with sodium thiosulphate solu¬ tion, from which the amount of liberated iodine is found and the equivalent amount of copper is calculated. (2) Sulphites are oxidized to sulphates by iodine accord¬ ing to the equation, Na2S03 + H20 + 2l = Na2S04 + 2HI. The sulphite solution is run into an excess of iodine solu¬ tion in which oxidation takes place. The unused iodine remains in solution, and is titrated with sodium thiosulphate quantitative; chemical analysis. 71 solution. Calculation of the amount of sulphite is made from the difference between the known amount of iodine originally present and the residual iodine found by titration. N/10 Iodine Solution.—Although iodine is very little soluble in pure water, it is readily soluble in watery solutions of potassium iodide. Weigh out about 12.8 grams of iodine, put into a liter flask, and add about 25 grams of potassium iodide and 50 cc. of water. Shake the flask until the iodine is all dissolved and then add water to the mark. Standardize the solution against a solution of sodium thiosulphate. Sodium thiosulphate is oxidized to sodium tetrathionate by iodine: 2Na2S203 + I2 = Na2S406 + 2NaI. Starch Indicator.—The indicator for use with iodine solutions is starch, which gives a blue color in the presence of iodine. Rub up about 1 gram of starch in a mortar with sufficient cold water to make a thin paste. Pour this thin paste into about 200 cc. of boiling water, stirring meanwhile, and allow to boil for a few minutes; after which, cool and filter. N/10 Sodium Thiosulphate Solution.—Sodium thiosul¬ phate, Na2S203.5H20, (molecular weight = 248.2) is ob¬ tainable in such a pure state that an accurate solution may be made without the necessity of standardization. Dissolve 24.82 grams of the pure crystals in about 300 cc. of water in a liter flask, and then fill to the mark. The water used should be boiled before use to drive off any possible carbon dioxide. Transfer to a suitable bottle and keep well stoppered. Standardization of the Iodine Solution.—Measure 25 cc. of the iodine- solution into an Erlenmeyer flask and dilute with a moderate amount of distilled water. Run in the sodium thiosulphate solution from a burette until the brown color of the iodine has become a pale yellow. Then 72 QUANTITATIVE CHEMICAL ANALYSIS. add i cc. of the starch solution. The contents of the flask will now assume a blue color. Continue the addition of the thiosulphate solution carefully until the blue color just disappears. The method of calculating the relative strengths of the two solutions is the same as in other cases of standardization already given. Exercise XXV. Determination of Antimony. The mineral stibnite, Sb2S3, is analyzed for antimony by bringing into solution with hydrochloric acid in the presence of tartaric acid, afterward diluted cautiously, and nearly neutralized with ammonium hydroxide. It is then treated with an excess of cold saturated solution of sodium bicar¬ bonate and titrated with iodine solution, with starch solution as indicator. The present exercise deals with the determination of antimony in tartar emetic, K(Sb0)C4H406. Add to the solution given you about 20 cc. of cold saturated solution of bicarbonate of sodium and a little starch indicator solution. Titrate with N/10 iodine solution until a blue color is produced. Report the amount of tartar emetic in the solution given you. Exercise XXVI. Determination of Iodine in Tincture of Iodine. Dilute the portion of the tincture given you with about 20 cc. of potassium iodide solution, add a few drops of starch indicator solution, and titrate with N/10 sodium thiosulphate solution until the blue color just disappears. Calculate the amount of iodine in the amount of the sample examined by you. QUANTITATIVE CHEMICAL ANALYSIS. 73 Exercise XXVII. Determination of Copper. When a solution of copper is treated with potassium iodide solution, cuprous iodide is precipitated and free iodine liberated according to the equation : 2CuS04 + 4KI = Cu2I2 + I2 -f 2K2S04, and the amount of copper is cal¬ culated from the amount of iodine liberated as indicated by the number of cc. of sodium thiosulphate solution used in titration. The titration is carried out in a solution in which the only free acid permissible is acetic acid. Add to the solution given you sodium carbonate solution until a small permanent precipitate is formed, then carefully add acetic acid until the precipitate is dissolved. Titrate the mixture with N/10 sodium thiosulphate solution,"using the starch indicator. Calculate the amount of copper in the solution given you. Chapter IX. SILVER NITRATE AND POTASSIUM SULPHO- CYANATE TITRATIONS. N/10 Silver Nitrate Solution.—Silver nitrate (AgN03 = 169.9) decinormal solution contains in 1 liter 16.99 grams of the pure salt. If it is desirable to standardize the solution it may be done by titration against a standard solution of pure sodium or potassium chloride of N/10 concentration. The indicator is potassium chromate solution. When the reaction with the chloride is complete the silver immediately combines with the chromate to form silver chromate which is of a red color. It cannot be used in acid solution on account of the immediate decomposition of the silver chromate. Silver nitrate solution may be used for the determina¬ tion of the chlorides and bromides of sodium, potassium, calcium, ammonium and magnesium in neutral solution 74 quantitative; chemical analysis. with potassium chromate as the indicator. It may also be used for the determination of cyanides in alkaline solution. The completion of the reaction in the latter case is shown by the production of a precipitate. N/10 Potassium Sulphocyanate Solution.—Potassium or ammonium sulphocyanate solution may be used in conjunc¬ tion with silver nitrate solution for several determinations in acid solution, in which precipitates are formed, the indicator being ferric sulphocyanate. A measured excess of silver nitrate solution is added to the solution analyzed. The precipitate which is formed is filtered off and well washed. The filtrate, which contains the excess silver solution, is treated with 5 cc. of ferric nitrate solution (indicator solution) and then titrated with potassium sulphocyanate solution to a red coloration. The difference between the amount of silver nitrate solution added and that found by titration is used to calculate the amount of the substance analyzed. Exercise XXVIII. Determination of Mercury in Mercuric Oxide. Weigh out accurately about 1 gram of mercuric oxide. Dissolve in concentrated nitric acid, transfer to a 100 cc. volumetric flask, and add distilled water to make 100 cc. Pipette out 25 cc. of the solution, add 10 cc. of concentrated nitric acid and 5 cc. of the ferric indicator, dilute to 75 cc., and titrate with N/10 potassium sulphocyanate solution. Calculate the per cent of mercury in the sample, Hg(N 03)2 + 2KSCN = Hg(SCN)2 + 2KNO3. Exercise XXIX. Determination of Bromide in a Solution. Acidify the solution given you with nitric acid and add a measured quantity of silver nitrate in excess. Stir the mixture until the precipitate settles. Add the ferric in- QUANTITATIVE CHEMICAL ANALYSIS. 75 dicator and titrate the filtrate which contains the excess silver nitrate with N/io potassium sulphocyanate solution. Calculate the amount of potassium bromide in the solution given you. Chlorides in acid solution may be determined in the same manner as bromides, but it would be necessary to filter off the precipitate of silver chloride and to wash with cold water before titrating the filtrate. Iodides are also estimated by the same method, with the modification that the silver nitrate solution is added in small quantities at the time, 1-2 cc., and the mixture shaken vigorously after each addition. It is not necessary to filter off the precipitate. Chapter X. COLORIMETRIC METHODS. Some substances in solution produce very strong colora¬ tion, and even in very dilute solutions where there may be only a trace of the substance present, the coloration may be still discernible. The red coloration produced by ammonium sulphocyanate with ferric iron is perceptible when the iron in solution amounts to no more than .0001 gm. per liter. In carrying out a colorimetric determination the solution to be examined, if not already very dilute, is made so, and a known volume of it treated with the color-producing reagent in solution. A standard solution of a salt of the kind being estimated is brought to the same volume as the solution tested, in a series of tubes, each containing a dif¬ ferent amount of the salt. These tubes are treated with the reagent in the same manner as the solution tested, and are used for comparison of the color produced in the solu¬ tion tested. Since the amount of salt in each tube is known, when a coloration is found which matches that of the tested solution, it is taken that they contain equal amounts of the salt. 76 QUANTITATIVE CHEMICAL, ANALYSIS. Exercise XXX. Colorimetric Determination of Ammonia. Ammonia in water usually results from contamination by sewage. Therefore, the examination of water for ab¬ normal quantities of nitrogen is one of the important points in the sanitary analysis of drinking water. Ammonia pre¬ sents itself in two forms, (a) free ammonia, which is made evident by a brown color with Nessler's solution ; (b) " albumenoid ammonia" which is liberated by the action of potassium permanganate in basic solution. The reagents required for the determination of ammonia in water are: 1. Ammonia-free Water.—Redistil distilled water acid¬ ified with sulphuric acid, rejecting the first portions of the distillate. 2. Nessler's Solution of Mercurio-Potassium Iodide.— (a) Prepare a saturated solution of mercuric chloride by boiling an excess of the salt in water; (b) dissolve 25 gms. of potassium iodide in a little water; (c) make a 50 per cent solution of potassium hydroxide. Add a to b until a slight but permanent precipitate remains; add 200 cc. of the potassium hydroxide solution, and dilute the whole to 500 cc. Allow to stand so that the liquid may become clear before using. 3. Alkaline Potassium Permanganate Solution. — Dis¬ solve 100 gms. of potassium hydroxide and 4 gms. of potassium permanganate in 500 cc. of distilled water, and remove 125 cc. by distillation, then dilute to 500 cc. with ammonia-free water. 4. Standard Ammonium Chloride Solutions.—(a) Dis¬ solve 1.572 gms. of pure ammonium chloride in 500 cc. of ammonia-free water. This solution will contain 1 milli¬ gram of NH3 per cc. (b) dilute 5 cc. of a to make 500 cc. ; this solution will contain .01 milligram of NH3. These two solutions are to be used for color comparisons. quantitative; chemical analysis. 77 Connect a distilling flask or a tubulated retort with a Iyiebig condenser and remove all traces of ammonia by boiling distilled water in the apparatus until the distillate shows no traces of color with Nessler's solution. Then put into the distilling flask 500 cc. of the water to be examined and distil at the average rate of about 8 cc. per minute, collecting 200 cc. of the distillate in a 200 cc. volumetric flask. Remove the 200 cc. flask and put in its place a 150 cc. volumetric flask. Introduce into the distilling flask 50 cc. of alkaline potassium permanganate solution, and continue the distillation until the flask is filled to the mark. The 200 cc. of distillate first collected contains the free ammonia ; the second distillate contains the " albumenoid" ammonia. Prepare a series of 12 Nessler tubes containing in cc. the following amounts of standard ammonium chloride solution : 0.2, 0.4, 0.6, 0.8, 1.2, 1.4, 1.7, 2.0, 2.5, 3.0, 4.0 and 5.0. Bach cc. of standard ammonium chloride solution represents .00001 gm. of ammonia. Dilute the contents of each tube to 50 cc., add 2 cc. of Nessler's solution and place in a Leeds comparator. Divide the 200 cc. of distillate into 4 tubes of 50 cc. each and dilute with ammonia-free water; treat with 2 cc. of Nessler's solution, and estimate the amount of ammonia in each by comparison with the standard tubes just prepared. Record the readings of each, and finally add together all the readings to find the total ammonia. Divide the distillate from the second distillation into three tubes of 50 cc. each and determine ammonia as above. Report " albumenoid ammonia." 78 QUANTITATIVE CHEMICAL ANALYSIS. SECTION IV. Chapter X. MISCELLANEOUS ANALYSES. Exercise XXXI. The Proximate Analysis of Coal. Coal is a carbonaceous material containing certain com¬ bustible compounds, volatile at and somewhat below red heat, " fixed" carbon which does not ignite below red heat, inor¬ ganic salts, and some moisture. The common commercial forms are the anthracite and the bituminous, to which the terms " hard" and " soft" are respectively applied. Anthra¬ cite coal differs from bituminous chiefly in that the former contains much less of volatile constituents than does the latter, and is chiefly "fixed" carbon. The determination of the components set forth above constitutes the proximate analysis of coal as distinguished from the ultimate analysis, in which determination is made of the elementary constituents. The analysis of coal fur¬ nishes a basis for ascertaining the suitability of any par¬ ticular lot of coal for a given purpose, or for the determina¬ tion of its fuel value. The fuel value as calculated from the results of a proximate analysis is usually found by the use of empirical formulas which, while not always express¬ ing the true value, serve very well for ordinary purposes. The real value of any coal as a fuel is found by burning a weighed portion of the sample in a calorimeter, from which the number of heat units evolved may be found. This exercise is concerned with the determination of (i) moisture; (2) volatile combustible matter; (3) coke; (4) fixed carbon and ash. The coal to be analyzed has been sampled and prepared quantitative; chemical analysis. 79 for analysis. Reference should be made to larger text¬ books or to special works on coal analysis for the details of sampling, etc. Moisture.—Weigh out ten grams of the sample, transfer to a weighed watch-glass, and dry in the oven for one hour at no0 C. Cool in the desiccator and weigh. Record the weight, and subtract from first weight to find moisture. Volatile Combustible Matter and Coke.—Weigh out one gram of the sample 'into a weighed crucible and heat for seven minutes over a Tirrill burner regulated to give a full, free flame, the bottom of the crucible being 5 or 6 cm. above the flame. Protect the apparatus from draughts of air. Cool in the desiccator and weigh. Subtract the weight of the residue from the first weight of the coal. This will give the total volatile matter (including moisture) the per cent of which must be subtracted from the per cent of total volatile matter to find the combustible volatile matter. The residue in the crucible is coke, i. e., the fixed carbon and ash. Fixed Carbon and Ash.—Place the crucible containing the coke on a triangle and proceed to burn off the carbon until no trace of it remains; the ash, however, will not be white on account of the presence of iron oxide. Cool in the desiccator and weigh to find the ash content, which, subtracted from the weight of coke previously found, will give the amount of fixed carbon. Report all values in per cents. Calculation of Fuel Value.—Calculate the fuel value from the formula of Goutal, 82C + AM = calories per gram. C = per cent of fixed carbon ; M = volatile com¬ bustible matter; A = coefficient whose value is fixed by the volatile combustible matter as follows : When M = 2 — 15, A = 130 15 — 3° 100 30 — 35 95 35 — 4o 9°- 80 QUANTITATIVE CHEMICAL ANALYSIS. Exercise XXXII. Examination of Burning Oils.—Kerosene. Common burning oils are derived from petroleum by fractional distillation and consist of mixtures of the liquid hydrocarbons of the methane series, and are usually defined by their boiling points, or their specific gravities. The examination of fuel oils has to do more with certain physical properties rather than with their chemical constituents, the purpose being to determine their fitness for the use intended, and usually includes, (i) specific gravity; (2) flash-point; (3) burning point. Specific Gravity.—Take the specific gravity of the sam¬ ple at 6o° F. (15.50 C.) with a Westphal balance or with a hydrometer. In commercial practice the specific gravity of oils is given in Baume degrees, to which, if desired, the true specific gravity may be translated. To convert lighter-than-water densities to Baume degrees, and vice versa, use the following formulas: B = — 136 ; o. (J. S. G. = ^ = -^aum^ ' S. G.= specific gravity). Flash Point.—The flash point of a burning oil is the temperature at which it will give off an inflammable vapor. The safety with which an oil may be used in the ordinary oil-burning utensils of the household is determined princi¬ pally by its flash-point. The matter is of such importance that the lower limit of the flash point of oils allowed to be sold in a commonwealth is fixed by state law. This lower limit of flash point varies in different places. The form of oil tester known as the New York State Board of Health pattern is conveniently used. The outer shell supports a cup which contains water, into which is placed an inner cup to contain the oil to be tested. The oil cup is provided with a glass cover in which is an opening through which a thermometer may be suspended in the oil QUANTITATIVE CHEMICAL ANALYSIS. 81 and a larger opening through which the flame is to be applied, and which is normally kept closed, and is un¬ covered when the flame is to be passed over the heated oil. Set up apparatus as indicated in the paragraph above. Light the burner and bring the temperature of the oil up to 90° F. (32.2° C.), then turn burner very low and slowly bring the temperature up to 950 F. (350 C.). Remove the cover from the aperture in the glass cover and pass a lighted taper over the opening. If there is no flash, carefully bring the temperature up to ioo° F. (37.70 C.) and make the test with the flame as before. Continue to make the test in this way until the temperature at which the oil flashes is found. The test should be repeated after allowing the oil to cool somewhat. Burning Point.—The burning point is the temperature at which the vapor is given off so rapidly that the flame will be continuous rather than a mere flash. Find the burning point by continuing the experiment as for flash point, until the temperature is reached at which there is a continuous flame. Exercise XXXIII. Determination of Nitrogen.—Kjeldahl Method. This exercise deals with the determination of nitrogen by the Kjeldahl method. It depends on the decomposition of the nitrogenous substance by sulphuric acid with the formation of ammonia compounds, which are afterward decomposed by caustic soda, distilled into a measured volume of standard acid solution, and the excess of standard acid titrated with standard alkali solution. 1 cc. of N/10 acid = 0.0017 gm. of NH3 = 0.0014 gm. of N. The number of cc. of acid used by the ammonia is found by subtracting from the original volume added the excess number as shown by the titration with the standard alkali solution. This number multiplied by the factor for nitrogen, 0.0014, gives the amount of nitrogen in the sam- 6 82 QUANTITATIVE CHEMICAL ANALYSIS. pie analyzed. If the result is to be expressed as protein substance the nitrogen content is to be multiplied by the factor 6.25. The factor 6.25 is derived from the amount of nitrogen contained in protein substances as found by analysis. Sometimes the factors 6.33, 6.37 and 6.38 are used. Use for this exercise the sample of milk employed for fat determination. The reagents required are (1) concentrated sulphuric acid ; (2) potassium sulphate; (3) mercury or mercuric oxide ; (4) 4 per cent potassium sulphide solution ; (5) saturated solution of caustic soda ; (6) cochineal indica¬ tor solution ; (7) N/10 acid solution; (8) N/10 alkali solu¬ tion. Pour 5-10 cc. of the milk into a beaker and weigh, then introduce as much as possible of the milk into the Kjeldahl flask. Again weigh the beaker, the difference being the weight of the milk transferred to the flask. Put into the flask 25 cc. of concentrated sulphuric acid and 0.7 gm. of mercuric oxide. Heat gently until there is no longer any frothing, then heat more strongly for about ten minutes. The flask should be inclined on its support, and a small funnel placed in its mouth. Remove the flame and allow the flask and contents to cool, and then add 10-12 gms. of potassium sulphate. Again apply heat and keep the mix¬ ture boiling briskly until the solution becomes colorless. Continue boiling for some time after the solution becomes colorless or a very light straw color. Allow to cool, add 200 cc. water, and then precipitate the mercury by the addition of 25 cc. of the potassium sulphide solution. Put into the flask a few pieces of pumice stone and a piece of paraffin about the size of a pea. Set up the apparatus for distillation as shown in Fig. 15, measuring 50 cc. of N/10 acid into the beaker. Now, pour 50 cc. of the saturated caustic soda solution into the flask in such a manner that it does not at once mix with the solution, by inclining the flask and pouring in the alkali QUANTITATIVE CHEMICAL ANALYSIS. 83 carefully. Immediately connect with the condenser and gently mix the whole. Distil the contents of the flask into the beaker until 150 cc. of distillate have passed over. Then disconnect condenser and rinse with a little distilled water, and also wash off the adapter inside and outside, the rinsings and washings being allowed to flow into the beaker. Ti¬ trate the contents of the beaker with N/10 alkali solution, using cochineal as the indicator. Calculate nitrogen and protein substance as indicated above. Exercise XXXIV. Determination of Fat in a Food. The food product to be analyzed is first dried and its fat then extracted with anhydrous ethyl ether or petroleum ether into a weighed flask. The solvent is distilled off, the 84 QUANTITATIVE CHEMICAL ANALYSIS. fat remaining in the flask which is again weighed. The difference between the last weight and the weight of the flask alone is the weight of the extracted fat. For this exercise use milk. Make a coil of a strip of fat- free filter paper about 55 cm. long and 6.25 cm. wide, and fasten with a thin wire. Pour into a beaker about 5 cc. of milk and weigh quickly. Then place one end of the paper coil in the milk and ab¬ sorb as much as possible of it; it should be practically all absorbed. Remove the paper coil and again weigh the QUANTITATIVE CHEMICAL ANALYSIS. 85 beaker. The difference between the first weight and the last weight is the weight of milk absorbed. Place the paper coil, with the wet end uppermost, in a clean beaker and dry- in the oven for two or three hours. When the coil has thoroughly dried, place it in a Soxhlet extraction apparatus, illustrated in Fig. 16, the end of the coil which was used to absorb the milk being placed down¬ ward. Pour anhydrous ether into the extractor until it siphons over ; then connect up the apparatus for the deter¬ mination. Be sure that the apparatus is tight and that water is flowing through the condenser before applying heat. It is better to use an electric hot plate for heating, though, with caution, a safety water bath may be used. Isolate all open flames from the vicinity of any experiment in which ether is used. Immerse the extraction flask in a beaker of water and carefully regulate the temperature so that the extractor fills and siphons about every 10 to 12 minutes. Continue the extraction for about three hours. Then remove the paper coil, but connect the apparatus again and continue heating until nearly all the ether has been distilled from the flask and collected in the extractor. The ether is to be returned to the ether can, and the flask placed in the oven and dried to a constant weight. The difference between the weight of the flask after and before the extrac¬ tion is the weight of fat. Calculate the per cent of fat in the sample of milk examined. Exercise XXXV. Determination of Alcohol.—By S. G. Method. The per cent of alcohol in a liquid may be found by distilling off from a measured quantity of the sample, and after diluting with water to a volume equal to the volume of the sample taken, the specific gravity of the water-alcohol mixture is determined, and by reference to " alcohol tables" the per cent of alcohol is found. 86 QUANTITATIVE CHEMICAL ANALYSIS. Alcoholic liquids which may contain volatile acids should be treated with caustic soda solution before being distilled. Measure out 100 cc. of the sample to be analyzed, introduce into a distilling flask and add 25 cc. of 5 per cent caustic soda solution. Distil over 75 cc. and transfer to a 100 cc. flask. Fill to the mark with distilled water, mix well and find the specific gravity as follows : Weigh a perfectly clean and dry specific-gravity bottle like that shown at C, Fig. 14. Fill the bottle at i,5°C with the alcohol-water mixture and insert the stopper. With a piece of filter paper remove all drops of liquid adhering to the outside of the bottle and wipe across the top of the stopper. Do not hold the body of the bottle in the hand as the warmth will cause the liquid to expand and issue from the capillary bore in the stopper. Weigh rapidly. Record the weight of bottle and contents, and then in the same way and at the same temperature weigh the bottle full of distilled water. From each of the two weights obtained subtract the weight of the empty bottle. Divide the weight of the alcohol by the weight of the water to find the specific gravity of the alcohol-water mixture. Con¬ sult the alcohol tables to find the per cent of alcohol cor¬ responding to the specific gravity found. Calculate the per cent of alcohol in the sample. INDEX. Acid, determination of strength of, 65. Alcohol, determination of, 85. Alkalimetry, 59. Ammonia, albumenoid, determination of, in water, 77. free, determination of, in water, 77. Ammonia-free water, 76. Ammonium chloride, standard solution, 76. Analytical equations, balancing, 21. Analytical factors, 22. Anthracite coal, 78. Antimony, determination of, 72. Ash, determination of, in coal, 79. Balance, construction and use of, 2. sensibility of, 6. Westphal, 55. Base, in solution, determination of, 63. Baum6 degrees, to convert to specific gravity, 80. Bicarbonate, determination of, 64. Bituminous coal, 78. Blast burner, 75. Bottle, specific gravity, 54. Bromides, volumetric determination of, 73, 74. Bunsen burner, 35. Burettes, 10. calibration of, 14. reading, 11. Burning oils, examination of, 80. Burning point of oils, 81. Calculations, based on equations, 21. volumetric, 58. Capacity, units of, 12. Carbon dioxide, determination of, 45, 47. Carbonate, determination of, 63. and bicarbonate in mixed solution, 64. and caustic soda in mixed solution, 64. Care of stop-cocks, 12. Caustic soda solution, 63. Chlorides, determination of, 42. Chromate, silver, as indicator, 73. 88 INDEX. Cleaning solution, 12. Coal, proximate analysis of, 78. Cochineal, 57. Coke, determination of, in coal, 79. Colorimetric methods, 75. Combustible matter, volatile, in coal, 79. Cooling precipitates, 36. Copper, determination by electrolysis, 51. volumetric determination of, 73. Crucibles, 29, 32. Current, electric, density, 49. regulation of, 49. source of, 49. Desiccator, 36. Drying precipitates, 31. Electric current, control of, 49. source of, 49. Electrodes, 50. Electrolytic methods, 48. Equations, analytical, balancing, 18. metathetical, 18. oxidizing, 19. Equivalents, volumetric, 58. Ether, caution in use of, 83. Factor, correction, 56. Factors, analytical, 22. volumetric, 58. Fat, determination of, in a food, 83. Ferrous ammonium sulphate, 66. Filter paper, 28. Filtration, 27. by suction, 28. with Gooch crucible, 29. Flash point of burning oils, 80. Flasks, volumetric, 10. calibration of, 14, 15. Fuel value of coal, calculation of, 79. General operations, 25. Gooch crucible, preparation of, 29. Graduates, 8. Gravimetric analysis, general operations of, 25. exercises, 37. Hydrochloric acid, gravimetric determination of, 42. standard solution, 60. table of properties, 60. Hydrogen equivalent, 53. Hydrometer, 50. INDEX. Ignition, 32. of moist precipitates, 34. Indicator, definition, 1, 57. Indicators, 57. Iodides, determination of, 75. Iodine, determination of, in tincture of iodine, 72. standard solution, 71. standardization of, 71. Iodimetry, 70. Ionization, 27. constant, 27. Iron, determination of, by gravimetric method, 37. potassium dichromate, 69. potassium permanganate, 68. Kjeldahl method of nitrogen determination, 81. Lead, determination of, 38. Litmus, indicator, 57. Logarithms, use of, 22. Magnesium, determination of, 40. Measuring vessels, 8. M£ker burner, 35. Mercury, determination of, gravimetric, 39. volumetric, 74. Metathetical equations, balancing, 18. Methyl orange, indicator, 57. Milk, determination of fat in, 83. determination of nitrogen in, 81. Miscellaneous analyses, 78. Moisture, determination of, in coal, 79. Molybdate solution, 43. Morse-Blalock bulbs, 15. calibration with, 16. standardization of, 16. Nessler's solution, preparation of, 76. tubes, 77. Nitrogen, determination of, by Kjeldahl method, 81. Ohm's law, 49. Operations, general, 25. Oxalic acid, standard solution of, 59. Oxidation, defined, 19. Oxidizing reactions, 19. Phenolphthalein, indicator, 57. Phosphomolybdate solution, 43. Phosphoric acid, determination of, 43, 44. Pipettes, 10. calibration of, 13, 14. 9° INDEX. Potassium dichromate, indicator for, 67. standard solution of, 66. Potassium ferricyanide, indicator, 67. permanganate, alkaline solution, 76. standard solution, 65. Precipitates, drying of, 31. transferring to filter, 29. washing of, 27. weighing, 36. Precipitation, 26. Preparation and weighing of sample, 25. Questions, 17, 24, 37, 69. Results, stating, 22. Rider, use of, 4. Rose's method for carbon dioxide, 47. Rosolic acid, indicator, 57. Rules for using the balance, 3. Sensibility of a balance, defined, 6. determination of, 6. Silver, determination by electrolysis, 50. chromate as indicator, 73. nitrate, standard solution, 73. and potassium sulphocyanate titrations, 73. Sodium bicarbonate, determination of, 64. carbonate, determination of, 63. hydroxide, standard solution, 63. thiosulphate, standard solution, 71. Solubility product, 27. Solution, 26. Solutions, normal, 52. rule for making, 52. volumetric, making, 52. Specific gravity, formula for converting to Baum£ degrees, 80. use of, in making solutions, 23, 54. Starch indicator, 71. Stating results, 22. Stoichiometry, 18. Suction, filtration by, 28. Sulphuric acid, determination of, 41. specific gravity, table for, 62. standard solution of, 61. Tables, chemical, 22. Temperature, standard for volumetric analysis, 13. Tirrill burner, 34. Units of capacity, 12. Valance, change of, in oxidation and reduction, 20. INDEX. Volatile combustible matter in coal, determination of, Voltage of current, control of, 49. Volumetric analysis, 52. general principles of, 52. Volumetric equivalent, 58. Washing precipitates, 27. Water, free and albumenoid ammonia in, 76. ammonia-free, 76. Weighing, 7. Weight of an object, determination of, 7. Weights, construction and use, 3. Westphal balance, 55. Zero point of a balance, definition, 4. determination of, 5.