MEDICAL SCHOOL COLLEGE OF PHARMACY o f Pharmacy PROGEESSIVE PROBLEMS GENERAL CHEMISTRY BY CHARLES BASKERVILLE, PH.D. PROFESSOR OF CHEMISTRY AND W. L. ESTABROOKE, Pn.D. INSTRUCTOR IN CHEMISTRY COLLEGE OF THE CITY OF NEW YORK College of Pharmacy REVISED D. C. HEATH & CO., PUBLISHERS BOSTON NEW YORK CHICAGO COPYRIGHT, 1910, BY D. C. HEATH & Co. 2B O PREFACE THE application of the principles of a science is the surest test of their understanding. The more thor- oughly students are drilled with Problems, the surer is the teacher that his work has been worth while. To save time, and such is recognized as a distinct factor in modern pedagogy, problems from many sources have been brought together in this book. They have been taken from college examinations (American, European, and Australian), regents' examinations, College En- trance Examination Board papers, text books of all kinds, and such books dealing especially with chemical prob- lems, arithmetic, or calculations as those of Thorpe, Tate, Foye, Waddell, Taylor, Miller, Hale, Dennis, Carpenter, Lupton, Talbot, etc. Many original problems have also been incorporated. If the student has successfully solved two hundred selected problems from this list, it may be safely said that he has acquired a fairly sound comprehension of the basic principles of chemistry. No attempt is made to incorporate these principles, for they are gone into in the presentation of the subject, whatever text may be used or whatever method be pur- sued. A type series, however, is given in Chapter XIV. The number of problems is sufficiently great to admit of the use of the book a number of years before solutions of the problems may be handed down from one class to another. 42*17 iv PREFACE It will be observed that the student must seek much necessary information from his text or such handy reference books as Biedermann's Ohemiker Kalendar or Van Nostrand's Chemical Annual by Olsen. Our experience has shown good results accruing by hav- ing such reference books conveniently placed in each laboratory. If the previous training of the student has been sound, consideration of Chapter I may be omitted ; but it may be well to prove this by testing. It is a remark- able fact that college students, although they may know the metric system thoroughly, cannot think in its terms and are " up in the air" as soon as a question is propounded in meters, cubic centimeters, etc. No attempt has been made to render the nomenclature uniform. The student thus has an opportunity to learn the various terms in good usage among English-speak- ing peoples, and he furthermore becomes more or less familiar with the everyday parlance among so-called practical men. Our thanks are due Mrs. W. L. Estabrooke and Mr. E. A. Stevens, who assisted in collating. Mr. W. A. Hamor kindly followed the proofsheets. REVISED EDITION Helpful suggestions on the part of many teachers have prompted us to incorporate much useful data in an appendix. All detected errors have been corrected and a booklet containing the answers to the problems has been prepared. This may be obtained by teachers on request to the publishers. CHARLES BASKERVILLE. JUNE, 1911. W. L. ESTABROOKE. CONTENTS CHAPTER PAGE I. MEASUREMENT 1 Metric System Linear Measure . . . . . . 1 Surface Measure ...... 3 Volume ........ 4 Weight 6 Thermometry 8 Specific Gravity of Solids and Liquids . . .11 II. MOLECULAR WEIGHTS FROM ATOMIC WEIGHTS . 16 III. PERCENTAGE COMPOSITION 20 IV. CHANGES IN VOLUME 26 i. Due to change in pressure .... 26 ii. Due to change in temperature .... 29 iii. Due to change in both pressure and temperature 34 V. VOLUMES OF GASES FROM WEIGHTS SPECIFIC GRAVITY AND VAPOR DENSITY .... 48 VI. WEIGHTS FROM EQUATIONS 56 VII. VOLUMES FROM EQUATIONS . . . . .80 VIII. PROBLEMS IN COMBINING VOLUMES OF GASES (Gay-Lussac's Law) 107 IX. CALCULATION OF FORMULAS ..... 118 X. ATOMIC AND MOLECULAR WEIGHT CALCULATIONS 129 XI. ELECTRO-CHEMICAL PROBLEMS ..... 140 XII. ANALYTICAL CALCULATIONS STRENGTH OF SOLU- TIONS 143 XIII. REVIEW SYSTEMATIC AND MISCELLANEOUS . . 164 XIV. PROBLEMS BASED ON EQUATIONS .... 225 vi CONTENTS APPBNDIX PAGE I. INTERNATIONAL ATOMIC WEIGHTS .... 245 II. PERIODIC ARRANGEMENT OF THE ELEMENTS . . 246 III. THE METRIC SYSTEM CONVERSION TABLES AND MENSURATION RULES 247 IV. SPECIFIC GRAVITIES OF GASES .... 251 V. PHYSICAL CONSTANTS OF THE ELEMENTS . . 252 VI. VOLUME AND WEIGHT OF WATER FROM TO 31 C 258 VII. VAPOR PRESSURE OF WATER FROM TO + 100C 259 VIII. ELECTRO-CHEMICAL EQUIVALENTS . . . . 260 IX. UNITS OF ELECTRICITY, HEAT, AND POWER . . 261 X. HEATS OF COMBINATION 262 XI. SPECIFIC RESISTANCE OF VARIOUS SUBSTANCES . 263 XII. DENSITIES OF VARIOUS SUBSTANCES . . . 264 XIII. TABLE OF SOLUBILITIES 266 XIV. PREPARATION OF SOLUTIONS 271 XV. STANDARD STOCK SOLUTIONS 275 XVI. COMPARISON OF CALCULATED AND OBSERVED DECOM- POSITION ; VOLTAGES OF AQUEOUS SOLUTIONS . 278 PROGRESSIVE PROBLEMS IN CHEMISTRY CHAPTER I Introduction MEASUREMENT Metric System Linear Measure 1. Express 263.7018 m. as < dm. ; (b) cm. ; () 26 g. calomel; (c) 13 g. mercuric sul- phide ? 43. How much sodium in (a) 10 g. NaOH; (6) 6 g. Na 2 S0 4 ; < 14 g. NaCl; (d) 2 g. NaHSO 4 ? 44. Find the percentage composition of (CL) galena; (&) zinc blende. 45. Find the percentage composition of Cu(NO 3 ) 2 ; Pb(N0 3 ) 2 . 24 PROGRESSIVE PROBLEMS IN CHEMISTRY 46. It was found by experiment that 10 g. of crys- tallized sodium sulphate contained 4.70 g. of water; how many molecules of water of hydration does the crystallized salt contain? 47. What is the percentage of copper in crystallized copper sulphate? 48. What is the percentage of nitrogen in "caliche" that is 97.8 per cent pure? 49. A room 15 ft. long and 10 ft. wide and high is covered with a paper containing 0.78 g. of Scheele's green per ft. 2 . How much arsenic is there in the room ? 50. How many g. of Pb is contained in each of the following: (a) 10 g. litharge; (b~) 10 g. minium; (Y) 10 g. lead peroxide ? 51. Which is cheaper, Na 2 B 4 O 7 , 10 H 2 O at 7 cents a pound, or the anhydrous salt at 5 cents a pound ? 52. How many Kg. of water will be set free when 1 ton of crystallized copper sulphate is converted into the anhydrous condition on heating ? 53. How much copper in (#) 10 g. Cu 2 O ; (5) 13 g. azurite [2 CuCO 3 , Cu(OH) 2 ] ; ( sulphur, 10.55%; oxygen, 21.15%. Calculate the em- pirical formula. 54. Calculate the empirical formulas from the follow- ing analytical results : potassium, 52.45 % ; chlorine, 47.55 % - Arsenic, 41.32 % ; chlorine, 58.66 % . Sodium, 32.43%; hydrogen, 0.71%; phosphorus, 21.82%; oxygen, 45.04 %. Potassium, 35.56 % ; iron, 17.00 % ; cyanogen, 47.44 % . Magnesium, 21. 82 % ; phosphorus, 27.86% ; oxygen, 50.32%. 55. Aldehyde has the following composition : C, 54.67%; H, 9.11%; and O, 36.22%. The density (air) of its vapor is 1.526. What is its formula? 56. Butyric acid has the same percentage composi- tion as an aldehyde, but the density (air) of its vapor is 3.052. What is its formula ? 57. Analysis of a compound gives 26.67 % C, 2.22 % H, and 71.11 % O ; what is its simplest formula ? If that is the correct one, what should be the vapor density of the gas ? 124 PROGRESSIVE PROBLEMS IN CHEMISTRY 58. A compound consists of 5.88 % H and 94.12 % O ; find the smallest formula that can apply to it. 59. An ore of iron analyzes 70 % Fe and 30 % O : what formula should it have ? 60. Zinc is obtained from its sulphide, a specimen of which contains 67.01% Zn and 32.99% S. Ascertain the formula of zinc sulphide. 61. Find the formula of a hydrocarbon that contains an equal number of hydrogen and carbon atoms, and the vapor of which has a density (air) of 0.9. 62. Formic acid has the composition: C, 26.21%; O, 69.43% ; and H, 4.36%. The density (air) of its vapor is the same as that of alcohol. Find the formula. 63. Find the formulas of the following two substances : 00 (0 Bi = 42.99 K= 8.24 O = 29.74 Al= 5.69 N= 8.67 8 = 13.50 Water = 18.60 O = 27.01 Water = 45. 56 64. Oxalic acid consists of C, 26.79%; H, 2.23%; and O, 70.98 %. Find the formula. 65. Alcohol is C, 52.28; O, 34.64; and H, 13.08. Calculate the formula. 66. Deduce the formulas of the following : 00 (*) Fe = 20.15 K= 7.77 8 = 11.51 Mn = 10.95 O = 24.02 8 = 12.75 Water = 44. 32 O = 25.48 Water = 43. 05 CALCULATION OF FORMULAS 125 67. Red lead consists of Pb, 90.65 % ; and O, 9.35 %. What is the formula ? 68. The sp.gr. of mercurous chloride is 7. It con- tains 84.92 % of Hg and 15.08 % of chlorine. To what formula would this correspond ? 69. Calculate the formula of the following : Na = 14.41 Sb = 25.05 8 = 26.72 Water = 33.82 70. Calculate the formulas from the following per cents: calcium, 38.72; phosphorus, 20.00; oxygen, 41.28. 71. Potassium, 28.73; hydrogen, 0.73; sulphur, 23.52; oxygen, 47.02. 72. Potassium, 45.95; nitrogen, 16.45; oxygen, 37.60. 73. Aluminum, 16 ; sulphur, 28 ; oxygen, 56. 74. Carbon, 85.71; hydrogen, 14.29. 75. Carbon, 92.3; hydrogen, 7.7. 76. One volume of a gaseous hydrocarbon at -f 100 C. yields on combustion double its volume of CO 2 and 3 times its volume of steam at the same tem- perature. Find the formula of the gas. 77. A compound has the following composition : phosphorus, 20.22%; oxygen, 10.43%; chlorine, 69.35%. The density (air) of its vapor is 5.295. What is its formula? 78. If an iron ammonium sulphate contains \ of its weight in iron, find the formula. 79. A compound has the following composition : phosphorus, 22.58% ; chlorine, 77.42%. One 1. of the vapor weighs 6.13 g. Calculate the formula. 126 PROGRESSIVE PROBLEMS IN CHEMISTRY 80. Calculate the formulas of the substances pos- sessing the following percentage compositions : Magnesium = 25.57 Sodium =32.43 Potassium = 26.585 Chlorine = 74.43 Sulphur = 22.55 Chromium = 35.390 Oxygen = 45.02 Oxygen = 38.025 81. Find the formula when Zn = 22.67; S = 11.15; O = 22.29; and water = 43. 89. 82. Calculate the formula when Zn = 54.14; Si = 11.67 ; O = 26.67 ; and water = 7.52. 83. Assign formulas to the following : 00 0) CO = 22. 74 A1 2 O 3 = 16.86 N = 26.96 CaO= 9.20 Cl = 41.05 SiO 2 = 59.28 H= 5.78 Water = 14. 66 Water = 3.47 84. Calculate the formulas from the following per cents: carbon, 19.04; hydrogen, 4.76; sulphur, 25.40; oxygen, 50.80. 85. Carbon, 74.07; hydrogen, 8.64; nitrogen, 17.29. 86. Carbon, 46.66 ; hydrogen, 4.26; nitrogen, 5.20; oxygen, 5.92; platinum, 18.26; chlorine, 19.70. 87. Lime, 28.4; magnesia, 12.3; iron monoxide, 12.3; manganese monoxide, 1.9; carbon dioxide, 44.4. 88. A mineral gave the following numbers on analysis : SiO 2 , 46.96; MgO, 31.26; H 2 O, 21.22. Calculate its formula. 89. A specimen of cobalt bloom was found to have the following composition: As 2 O 5 , 38.43; CoO, 36.52 ; FeO, 1.01; H 2 O, 24.14. Determine its formula. CALCULATION OF FORMULAS 127 90. One hundred OG. of ammonia gas are completely decomposed by a series of electric sparks, yielding 200 cc. of mixed hydrogen and nitrogen. An excess of oxygen is next added, when the volume of mixed gases is found to amount to 290 cc. The mixture is now exploded, when 65 cc. of gas remain. Show from these data that the formula for ammonia is NH 3 . 91. Ca = 40; C = 12; O = 48. Calculate the simplest formula. Find the percentage composition of C in this formula to see if your answer is correct. 92. Calculate the molecular formula of a substance having the following composition: carbon, 74.1%; hydrogen, 8.6 % I nitrogen, 17.3 %. The vapor density is 81. 93. C = 10.04%; H = 0.83%; Cl = 89.13%; and the vapor density is 59.75. Find the formula. 94. On analysis, 18 g. of a compound of iron and sulphur yielded 8.4 g. of iron and 9.6 g. of sulphur; what is its simplest formula ? 95. On analysis, 48 g. of a compound yielded 37.21 g. of lead, 2.16 g. of carbon, and 8.63 g. of oxygen; what is its simplest formula? 96. What is the simplest formula of a substance, 27 g. of which, on analysis, yielded 2.64 g. of magne- sium, 3.51 g. of sulphur, 7.02 g. of oxygen, and 13.83 g. of water? 97. A compound of arsenic and oxygen is composed of 75 + %As, 24+% O; what is its smallest formula? Its vapor density being 198, what should be its true formula? 98. A compound of hydrogen and carbon has 92.3% C and 7.7 % H. Find its smallest formula. The density being 13, what is the proper formula? 128 PROGRESSIVE PROBLEMS IN CHEMISTRY 99. An analysis of a salt gave the following per- centage numbers: S, 22.53; Na, 32.39; O, 45.08. What is its empirical formula? 100. A salt on analysis gives the following percent- age numbers: N, 9.09; O, 20.77; Ag, 70.13. Calcu- late the simplest formula for this body. 101. Calculate the formula for a body which has the following percentage composition: oxygen, 38.1; hy- drogen, 0.8; phosphorus, 24.6 ; sodium, 36.5. 102. Calculate the formula of a body which has the following percentage composition: magnesium, 3.98; calcium, 13.28; potassium, 12.99; sulphuric acid (SO 4 ), 63.77; water, 5.98. 103. Find the formula of the following : O, 48 % ; S, 24%; andFe, 28%. 104. A substance contains carbon, 20 % ; oxygen, 26.6%; and sulphur, 53.3%. Find its formula. 105. Find the formulas of the following minerals : 00 (ft) SiO 2 = 65.69 N 2 O = 4.21 A1 2 O 3 = 17.97 CaO = 12.93 CaO= 1.34 A1 2 O 3 = 30.68 N 2 0= 1.01 Si0 2 = 39.99 K 2 = 13.99 H 2 = 12.19 106. Calculate the formulas : 00 (ft) A1 2 O 3 = 58.66 SiO 2 = 47.24 SiO 2 = 34.20 MnO 2 = 31.50 F= 7.14 Water =21. 26 CHAPTER X Atomic and Molecular Weight Calculations 1. Ten 1. of a gas weigh 17.92 g. ; find its molecular weight. 2. The sp. gr. of hydrogen iodide is 4.4; calculate its molecular weight. 3. Find the molecular weight of the gas of which 20 g. occupy 9.9 1. under 1.5 atmospheres pressure at + 17C. 4. One hundred g. of lead form 146.45 g. of lead sulphate; find the molecular weight of sulphuric acid. 5. The vapor of a compound is found to be thirty- nine times as heavy as hydrogen at the same tempera- ture and pressure. What is the molecular weight of the compound? 6. A 1. of nitrous oxide weighs 1.97 g. ; find its molecular weight. 7. Find the molecular weight of the gas the density of which is 1.524. 8. A 1. of ammonia, under standard conditions, weighs 0.76 g. ; find its molecular weight. 9. A 1. of nitrous oxide, under standard conditions, weighs 1.97 g. ; find its molecular weight. 10. A 1. of cyanogen, under standard conditions, weighs 2.33 g. ; find its molecular weight. 129 130 PROGRESSIVE PROBLEMS IN CHEMISTRY 11. A 1. of ethane, under standard conditions, weighs 1.34 g. ; find its molecular weight. 12. Find the molecular weight of the gas the density of which is 1.108. 13. A 1. of arsine weighs 3.49 g. under standard conditions ; find its molecular weight. 14. Find the molecular weight of the gas the density of which is 0.623. 15. Calculate the molecular weights of the following gases : one 1. of ethane weighs 1.34 g. ; one 1. of hydrogen sulphide weighs 1.52 g.; one 1. of nitric oxide weighs 1.34 g.; one 1. of phosphine weighs 1.52 g. ; one 1. of carbonyl chloride weighs 4.42 g. ; one 1. of SiF 4 weighs 4.68 g. ; one 1. of butane weighs 2.59 g. 16. The weight of 3840 cc. of a certain vapor, at standard conditions, is 24 g. ; what is the molecular weight of the substance ? 17. If 3180 cc. of a gas, measured at + 24 C. and 750.2 mm. pressure, weighed 6 g., what is the molecular weight? 18. The vapor density of a gas is 44 ; find its mo- lecular weight, sp. gr., and the weight of 1 1. 19. Calculate the molecular weights of the following gases: the density (referred to air) of ammonia is 0.59; the density (referred to air) of HF is 0.69; the density (referred to air) of methyl alcohol is 1.11 ; the density (referred to air) of mercury vapor is 6.91; the density (referred to air) of HI is 4.42. ATOMIC AND MOLECULAR WEIGHTS 131 20. Find the molecular weights of the following bodies: (air = l) cadmium at + 940 C., relative density = 3.94 ; phosphorus at + 500 C., relative density = 4.35 ; mercury at + 446 C., relative density = 6.98. 21. Determine the molecular weights of the follow- ing gases from the data annexed: nitrogen; 2 1. weigh 2.51 g. 22. Carbon monoxide; 1500 cc. weigh 1.88 g. 23. Carbon dioxide ; 500 cc. weigh 0.98 g. 24. One 1. of SO 2 weighs 2.86 g. ; what is its molec- ular weight? 25. The weight of 1| 1. of CO is 1.88 g.; calculate the molecular weight. 26. What is the molecular weight of marsh gas, 3 1. of which weigh 2.15 g.? 27. Sulphur dioxide is 2.22 times as heavy as air; find its density and molecular weight. 28. If 30 g. of a gas occupy 52.7 1. under 0.5 atmos- pheric pressure at -f 27 C., what is the molecular weight of the gas? 29. A quantity of gas measuring 5.4 1., when the temperature is + 15 C. and pressure 740 mm., weighs 7.6 g. ; what is its molecular weight? 30. The vapor density of a gas was 31.17 when its temperature was + 11 C. and under a pressure of 750 mm.; what is its molecular weight? 31. Calculate the molecular weights of the following gases from their vapor densities: (a) chlorine, 35.5; (5) hydrochloric acid, 18.25; (e) ammonia, 8.5; nitrogen, 14; (e) steam, 9. 132 PROGRESSIVE PROBLEMS IN CHEMISTRY 32. Berzelius found that 4.20775 parts of MnCl 2 yielded 9.575 parts of AgCl ; what is the atomic weight of silver? 33. By analysis we find that for every 100 parts of silver bromide there are 57.44 parts of Ag and 42.56 parts of Br. The atomic weight of Br = 79.8. What is the atomic weight of silver? 34. We find from analysis that barium chloride con- tains 65.86% of Ba and 34.14% of Cl. There are no compounds of Ba the vapor density of which has been determined. The specific heat of Ba being unknown, how would you determine the atomic weight of Ba? 35. Marignac found that 3.8844 g. NaCl were re- quired for the precipitation of 11.308 g. of AgNO 3 ; find atomic weight of nitrogen. 36. By heating 15 g. of pure silver in a stream of chlorine, 19.9306 g. of silver chloride are produced. The weight of the atoms of silver in a molecule of silver chloride is 108. What is the molecular weight of sil- ver chloride and the number of atoms of chloride in a molecule? 37. If 3.17 g. of iron form 4.53 g. of Fe 2 O 3 , what is the atomic weight of iron ? 38. If 8019 cc. of a gas, measured over water at + 20 C. and 742.4 mm. pressure, weighed 14 g. when deprived of aqueous vapor, what is the molecular weight ? 39. If 5647 cc. of a gas, measured over water at + 24 C. and 754.2 mm. pressure, weighed 6.254 g. when deprived of aqueous vapor, what is its molecular weight ? ATOMIC AND MOLECULAR WEIGHTS 133 40. A compound of phosphorus, oxygen, and chlorine contained 20.19% of phosphorus, 10.43% of oxygen, and 69. 38% 'of chlorine. The vapor density of the compound as gas = 77.95 and the specific heat of phos- phorus = 0.202. Find the molecular formula of the compound and the atomic weight of phosphorus. 41. The sp. gr. of phosphorus trichloride is 4.88; what is its molecular weight? 42. Sodium chloride contains 39.32% of sodium and its molecular weight is 58.5. What is the atomic weight of sodium, on the supposition that there is but 1 atom of sodium in the molecule of salt ? 43. Berzelius obtained 17.554 g. of PbO from 16.2956 g. of lead ; find the atomic weight of lead. 44. CuO, when heated in hydrogen, lost 59.80 g. of oxygen and formed 67.3 g. of water. If O = 16, what is the atomic weight of hydrogen ? 45. Stas found that 91.46 g. of metallic silver, when heated in a stream of chlorine, yielded 121.4993 g. of pure silver chloride. Calculate from this the atomic weight of chlorine. 46. Stas found, after adding 7.25682 g. of potassium chloride to 10. 51995 g. of silver dissolved in nitric acid, that 0.0194 g. of silver remained in solution. Calculate from these data the atomic weight of potassium. 47. Erdmann and Marchand obtained 109.6308 g. of mercury from 118.3938 g. of the red oxide. Calculate the atomic weight of mercury. 48. If 0.3697 g. of aluminum liberated 0.04106 g. of hydrogen on being dissolved in a strong solution of so- dium hydrate, what is the atomic weight of aluminum ? 134 PROGRESSIVE PROBLEMS IN CHEMISTRY 49. Marignac found that 5 g. of strontium chloride, containing 6 molecules of water of hydration, yielded 3.442 g. of strontium sulphate. Calculate the equivalent of strontium. 50. Pure carbon monoxide was passed over red-hot copper oxide; the residual metal and the carbon dioxide formed were weighed; 24.360 g. of oxygen were lost and 67.003 g. of carbon dioxide were obtained. From this calculate the atomic weight of carbon. 51. One g. of an element is found to combine with oxygen so as to form 2.9 g. of oxide; calculate its equivalent. 52. If 0.254 g. of a metal, when dissolved in hydro- chloric acid, liberated 116 cc. of hydrogen, measured at + 15 C. and 725 mm., what is the equivalent of the metal? 53. Phosphine contains 91.17 % of phosphorus and 8.83 % of hydrogen ; find the equivalent of phosphorus. 54. Three oxides of nitrogen contain, respectively, 63.63%, 46.66%, and 36.84% of nitrogen; calculate the equivalent of nitrogen in each of them. 55. A bromide of antimony contains 66.66% of bro- mine. If Br = 80, calculate the equivalent of antimony. 56. A 1 % sugar solution gives an osmotic pressure of 516 mm. at -f 15 C. What is the molecular weight of sugar? Assume that the sp. gr. of the solution is 1. 57. The specific heat of an element is -^ ; and its atomic weight is a multiple of 14. Find the atomic weight of the element. 58. If 200 parts of BaCl 2 give 224.2 of BaSO 4 , what is the atomic weight of barium ? ATOMIC AND MOLECULAR WEIGHTS 135 59. The equivalent of lead is found to be 103.5 and that of platinum 48.6; determine the probable atomic weight of both lead and platinum, specific heat of lead being 0.0310 and of platinum 0.0324. 60. A 1. of oxygen under standard conditions weighs 1.43 g. A 1. of a certain element, the molecule of which contains 2 atoms, if vaporized under the same conditions, would weigh 11.43 g. What is the atomic weight of the element ? 61. When 2.16 g. of silver are treated with chlorine, 2.87 g. of AgCl are formed ; calculate the atomic weight of silver. 62. If 10 g. of the chloride of a certain univalent element are found to contain 60.6% of chlorine, and if the atomic weight of chlorine is 35.5, what is the atomic weight of the other element? 63. The molecular weight of potassium chloride is 74.2. The per cent of potassium in the compound is 52.56. The specific heat of potassium is 0.166. What is the atomic weight of the element ? 64. The molecular weight of lead oxide. PbO, is 221.3. The per cent of lead = 92.81. Specific heat of lead = 0.031. What is its atomic weight ? 65. A compound of hydrogen and sulphur has a molecular weight of 34. The per cent of sulphur in the compound is 94.11. Specific heat of sulphur = 0.163. What is its atomic weight ? 66. A compound of aluminum and chlorine has a molecular weight of 265.2. Per cent of aluminum is 20.36. Specific heat of aluminum = 0.222. What is the atomic weight of aluminum ? 136 PROGRESSIVE PROBLEMS IN CHEMISTRY 67. Analysis of uranium chloride shows the com- position : U, 62.7%; Cl, 37.3%. The specific heat of metallic uranium is 0.027. What is the atomic weight of uranium and what the formula of the chloride ? 68. Find the atomic weight of lead from the follow- ing data : the molecular weight of lead sulphide is 249; in 100 parts of lead sulphide there are 83.13 parts of lead ; specific heat of lead is 0.031. 69. The molecular weight of arsenuretted hydrogen is 78. In 100 parts there are 96.15 parts of arsenic, and the specific heat of arsenic is 0.0814. What is the atomic weight of arsenic ? 70. The molecular weight of carbon disulphide is 76, and 100 parts yield 84.21 parts of sulphur; the specific heat of sulphur is 0.163. What is the atomic weight of sulphur, and how many atoms of sulphur are in a molecule of the carbon disulphide ? 71. The specific heat of silver is 0.056; what is its atomic weight ? 72. If 35.5 g. of chlorine unite with 48.6 g. of platinum to form platinic chloride and the specific heat of platinum is 0.0324, what is (a) the atomic weight of platinum and (6) the formula of platinic chloride ? 73. A compound consists of P, 20.19; O, 10.43; Cl, 69.38. The vapor density of the substance in the state of gas is 77.95; the specific heat of phosphorus is 0.1887. Calculate the molecular weight of the com- pound and the atomic weight of phosphorus. 74. Dumas found, on heating copper oxide in a stream of dry hydrogen, that a certain weight of this ATOMIC AND MOLECULAR WEIGHTS 137 substance lost 59.789 g. of oxygen and yielded 67.282 g. of water. Calculate from these numbers the atomic weight of hydrogen. 75. Marignac obtained 314.894 g. of silver nitrate from 200 g. of silver. Further, 14.110 g. of silver nitrate require 6.191 g. of. potassium chloride for com- plete precipitation, and 10.339 g. of silver dissolved in nitric acid require 5.120 g. of ammonium chloride for precipitation. Calculate the atomic weight of nitrogen from these data. 76. An oxide of bismuth contains 89.655% of bis- muth ; calculate the equivalent of bismuth. 77. If 0.334 g. of metallic silver, dissolved in nitric acid, yield a precipitate of silver chloride with hydro- chloric acid which weighed 0.4436 g., what is the equivalent of silver ? 78. If 3.2 g. of silver chloride, heated in a current of hydrogen, yield 2.4081 g. of metallic silver, what is the equivalent of silver ? 79. If 5 g. of copper oxide, heated in a current of hydrogen, yield 3.9915 g. of metallic copper, what is the equivalent of copper ? 80. If 1.665 g. of lead chloride were dissolved in water, and silver nitrate was added to the solution, and the precipitated silver chloride weighed 1.72 g., what is the equivalent of lead ? 81. Mallet found that 8.2144 g. of ammonium alum, dried by exposure to air at + 21 C. to + 25 C., yielded 0.9258 g. of A1 2 O 3 . Taking the following atomic weights: O, 15.961; S, 31.966; N, 14.010, find the atomic weight of aluminum. 138 PROGRESSIVE PROBLEMS IN CHEMISTRY 82. Mallet found that 6.9617 g. of AlBr 3 required 8.4429 g. of Ag for precipitation of the bromine. If Ag= 107.649 and Br = 79.754, what is the atomic weight of Al as deduced from this result ? 83. Find the equivalent of aluminum from the fol- lowing data: (a) 5.2632 g. of the metal heated with potash gave hydrogen which, when burned, yielded 5. 2562 g. of water; (6) 8.6492 g. of aluminum bro- mide required 10.4897 g. of silver for complete precipi- tation. 84. One 1. of mercury vapor at the standard tempera- ture and pressure weighs 8.923 g. On heating 118.3938 g. of mercuric oxide, Erdmann and Marchand obtained 109.6308 g. of mercury. On the assumption that mer- curic oxide is formed by the union of 1 atom of mercury with 1 atom of oxygen, what light do these facts throw on the atomic and molecular weights of mercury ? 85. By dissolving 0.4442 g. of metallic cobalt in an acid, 177.4 cc. of hydrogen at + 10 C. and 750 mm. pressure are obtained. The specific heat of the metal is 0.107. Calculate the atomic weight of cobalt. 86. If 4.353 g. of potassium bromide required, for complete precipitation, 3.946 g. of silver dissolved in nitric acid, what is the equivalent of bromine ? 87. A compound has the following percentage com- position : oxygen, 76.09%; hydrogen, 1.59%; nitro- gen, 22.32%. One 1. of its vapor weighs 2.817 g. What is its molecular weight and formula? 88. A hydrocarbon consists of carbon, 93.75%; hydrogen, 6.25%. The density (air) of its vapor is 4.456. What is its formula ? ATOMIC AND MOLECULAR WEIGHTS 139 89. A gas has the following composition : nitrogen, 30.56% ; oxygen, 69.44%. One 1. of the gas weighs 2.058 g. What is its molecular weight and formula ? 90. A compound has the following percentage com- position : H, 1.19%; O, 56.86%; 01,41.95%. One 1. of its vapor weighs 3.771 g. What is its molecular weight and formula? 91. If 4.5 g. of mercury unite with oxygen to form 4.86 of mercuric oxide, and the specific heat of mercury is 0.032, what is its atomic weight? 92. If 25 g. of metallic tin were converted into stannic oxide by heating with nitric acid and then ignit- ing, and the stannic oxide weighed 31.8 g., what is its atomic weight ? The specific heat of tin is 0.056. 93. Suppose that 0.3697 g. of aluminum liberated 0.04106 g. of hydrogen on being dissolved in a strong solution of sodium hydrate. On the assumption that alumina is a sesquioxide, A1 2 O 3 , find from these data the atomic weight of aluminum. CHAPTER XI Electro-chemical Problems 1. A current deposits 16 g. of silver; how much copper will it deposit ? 2. What current strength (in amperes) is required to deposit : 20 g. of silver in an hour ; 100 g. of iodine in 5 minutes ; 60 g. of antimony in 3 hours ? 3. A current deposits 1 g. of sodium ; find weight of Ni deposited. 4. If a current deposits 32 g. of Cu, how many g. of Al, Na, Mg, Pb, will it deposit ? 5. Two electrolytic cells, one containing acidulated water and the other lead nitrate solution, are joined in series, and the same current is passed through them until 25 cc. of hydrogen are liberated in the first cell. What weight of lead nitrate will be decomposed in the other cell ? 6. How many g. of silver will be deposited from a solution of silver nitrate by a current of 2 amperes in 50 sec. ? 7. How many g. of copper will be deposited from a bath of copper sulphate by a current of 5 amperes in 30 min. ? 8. How much would a metal platter increase in weight if it were nickel-plated by a current of 0.5 ampere running 5 hr. ? 140 ELECTRO-CHEMICAL PROBLEMS 141 9. What is the current strength of a Daniell cell if its copper plate gains 0.7 g. in 40 min. ? 10. How much current would be needed to make in 3 hr. a copper electrotype shell weighing 40 g. ? 11. How long would it take a current of 5 amperes to produce 0.6 g. of hydrogen by decomposition of water? 12. Find the electro-chemical equivalent for zinc from the fact that one of the zinc plates in an Edison chemical meter gains 726 g. when 20 amperes pass through it for 30 hr. 13. If a current of 2 amperes is used to decompose water and produces 2.981 g. of oxygen in 5 hr., what is the electro-chemical equivalent for oxygen ? 14. The current from a battery liberates in a given time 150 cc. (measured at 0C. and 760 mm.) of the mixed gases from acidified wtfter ; if this same current were passed through a solution of copper sulphate, what weight of copper would be deposited ? 15. How many coulombs are carried by and will deposit : 20 g. of silver ; 15 g. of antimony ; 30 g. of chlorine ; 60 g. of phosphanion (PO 4 ) ? 16. If a current of 15 amperes flows for 1 hour and 20 minutes, how many coulombs will pass ? How many ampere-hours will that give ? 17. If the specific resistance of copper is 0.000001629, what is the resistance of a wire 200 m. long having a cross section of 2 mm. 2 ? 18. If the specific resistance of German silver is 0.0000209, what is the resistance of 150 m. of wire having a cross section of 25 mm. 2 ? 142 PROGRESSIVE PROBLEMS IN CHEMISTRY 19. What is the resistance of an electric light carbon 12 inches long by | inch in diameter, when its specific resistance is 0.07 ? 20. How much zinc will be deposited from zinc sul- phate by 3 amperes in 10 minutes? 21. How much lead will be deposited by a current of J an ampere passing for 90 minutes through lead chloride ? 22. How much chlorine would be liberated by J an ampere passing through dilute hydrochloric acid for 13 hours ? 23. How much tin will be deposited by 5 amperes flowing 6 hours through a solution of SnCl 2 ? 24. How many amperes will it take to deposit 2^ Ib. of copper from copper sulphate in 10 hours ? 25. What is the minimum voltage necessary to de- compose water if the heat of combination of 1 g. of hydrogen with oxygen is 34,180 calories ? 26. If zinc bromide requires 1.65 volts to decompose it, what is the heat involved by the equivalent weight of zinc in g. combining with bromine ? 27. If 1 g. of hydrogen, combining with chlorine in the presence of water, evolves 39,315 calories, -what is the voltage required for the decomposition of hydro- chloric acid ? CHAPTER XII Analytical Calculations Strength of Solutions 1. If a solution of hydrochloric acid contained 44 g. of that substance to the L, how many cc. of the solu- tion would be needed to neutralize 20 cc. of the solution of sodium hydroxide containing 60 g. to the 1.? 2. What weight of sodium hydroxide will neutral- ize 100 g. of sulphuric acid ? What weight of potas- sium hydroxide will neutralize the same ? 3. If in neutralizing a certain amount of nitric acid with sodium hydroxide, 7.85 cc. of water are formed, how much nitric acid and how much sodium hydroxide have been employed ? 4. llow many g. of a 5 % solution of KOH will be required to neutralize 10 g. of a 10 % solution of H 2 S0 4 ? 5. If 10 g. of commercial caustic soda, dissolved in water, required 116.3 g. of a 10 % sulphuric acid to neutralize the solution, what percentage of pure NaOH did the substance contain ? 6. If 10 g. of commercial nitric acid were exactly neutralized by the addition of 58.6 g. of a 10 % solu- tion of potassium hydroxide, what was the strength of the acid in pure HNO 3 ? 143 144 PROGRESSIVE PROBLEMS IN CHEMISTRY 7. If a solution contained 50 g. of ammonium hydroxide to the 1., how many cc. of a 10 % solution of hydrochloric acid will be needed to neutralize 60 cc. of the ammonium hydroxide solution ? 8. What weight of potassium hydroxide will neu- tralize 36.2 g. of hydrochloric acid? 9. What weight of sodium hydroxide will neutral- ize 36.2 g. of hydrochloric acid ? 10. What weight of potassium hydroxide will neu- tralize 62.7 g. of nitric acid ? 11. What weight of sodium hydroxide will neutral- ize 62.7 g. of nitric acid ? 12. What weight of potassium hydroxide will neu- tralize 97.6 g. of sulphuric acid? 13. What weight of sodium hydroxide will neutral- ize 97.6 g. of sulphuric acid? 14. Suppose we have a molar solution of sodium hydroxide and a hydrogen chloride solution of unknown strength. If 50 cc. of the former require 62 cc. of the latter for neutralization, what is the strength of the hydrochloric acid solution ? 15. Calculate the weight of sodium hydroxide that would be neutralized by 50 cc. of a solution of sul- phuric acid of density 1.23 and containing 31% by weight of pure acid. 16. What volume of centinormal sulphuric acid solu- tion would be required to neutralize 0.008 g. of K 2 CO 3 ? 17. HBr solution having a density of 1.515 contains 49.8 % of the gas. How many g. AgNO 3 are needed to precipitate 250 cc. of the solution? ANALYTICAL CALCULATIONS 145 18. If 75 cc. of HC1 solution neutralize 60 cc. of NaOH containing 0.003 g. of the alkali per cc., what was the weight of the acid in 1 cc. of its solution ? 19. A solution of KOH contains 0.02 g. per cc. and 15 cc. of it neutralize 40 cc. of an HC1 solution. Find the number of g. of HC1 contained in 30 cc. of the solution. 20. How much ammonium hydroxide, sp. gr. 0.88, and water will have to be mixed to give 200 cc. of ammonium hydroxide, sp. gr. 0.96? 21. How much nitric acid, sp. gr. 1.42, and water are needed to make 6 1. of nitric acid, sp. gr. 1.26 ? 22. How much sulphuric acid, sp. gr. 1.7, and how much water are required to make 400 cc. of sp. gr. 1.18? 23. How much ammonium hydroxide, sp. gr. 0.9, and water must be mixed to give 4 1. of sp. gr. 0.96 ? 24. Given 2 1. of dilute sulphuric acid, sp. gr. 1.2, which is to be used up in diluting concentrated sul- phuric acid, sp. gr. 1.82, to an acid of sp. gr. 1.3, how much concentrated acid must be added ? 25. A solution of lime water contains 5 g. of lime to the 1.; how many cc. of N/10 H 2 SO 4 are needed to precipitate all of the lime from 10 1. of the lime water solution ? \ 26. If 300 cc. of a solution of caustic potash contain- ing 40 g. KOH per 1. are required to neutralize 100 cc. of sulphuric acid and the same volume of nitric acid, what is the amount of acid in each solution ? 27. What volume of aqueous hydrochloric acid, con- taining 36.5 g. HC1 per 1., will be required to neutral- ize 224.5 g. of Na 2 CO 3 , 10 H 2 O ? 146 PROGRESSIVE PROBLEMS IN CHEMISTRY 28. How many Ib. of 15 % HC1 are needed to neu- tralize 2000 Ib. of ^ 29. Calculate the weight of crystallized oxalic acid (C 2 H 2 O 4 , 2 H 2 O) required for a solution which is to be made up to 500 cc. in volume at N/2 strength. 30. If 1 1. of a solution of sodium hydroxide contains 35 g. of NaOH, how many g. of nitric acid would be needed to neutralize exactly 60 cc. of the solution ? 31. How much of the following substances are in their molar solutions : hydrogen bromide ; potassium hydroxide ; and potassium iodide ? 32. How much of a tenth-normal hydrochloric acid solution is necessary to neutralize 3 g. of strontium hydroxide ? 33. Determine the normality of a sodium dichromate solution, 50 cc. of which oxidized 3.85 g. of ferrous ammonium sulphate [FeSO 4 , (NH 4 ) 2 SO 4 ,6 H 2 O] to the ferric salt. 34. How many g. of 10 % (by weight) solution of barium chloride are needed to precipitate as barium sulphate the SO 4 in 2 g. of pure magnesium sulphate? 35. How many g. of a 5 % solution of ammonium oxalate are needed to precipitate completely as calcium oxalate the lime in 1 g. of calcium carbonate ? 36. How many g. of 15 % solution of NaNH 4 HPO 4 are necessary to precipitate completely the zinc in a solution containing 0.50 g. of zinc? 37. How many Ib. of 25% sulphuric acid will be required to neutralize 2000 Ib. of NaHCO 3 ; of CaCO 3 ? ANALYTICAL CALCULATIONS 147 38. How much iron is present in 10 cc. of ferrous sul- phate solution, 15 cc. of which required 60 cc. of a solu- tion of K 2 O 2 O 7 containing 4.902 g. of the dry salt per 1.? 39. A solution, A, contains 100 g. of KOH to the 1. A solution, B, contains 100 g. of H 2 SO 4 to the 1. What volume of solution A is needed to neutralize exactly 25 cc. of S? 40. Calculate the number of g. per 1. to give normal solutions of NaCl ; ofBad 2 ; of Na 3 PO 4 ; of KOH. 41. Calculate the amounts needed to make 5 1. of N/10 silver nitrate ; 2 1. of N/10 sodium bromide ; 1 1. of N/20 K 2 CO 3 . 42. What weight of iron in the ferrous condition will 100 cc. of N/10 KMnO 4 oxidize? 43. 4 g. of pure KMnO 4 are dissolved and diluted to 1 1. ; how many mg. of active oxygen are contained in each cc. ? What will be its strength in terms of iron ; of oxalic acid? 44. If 35 g. of FeSO 4 ,7H 2 O are dissolved and di- luted to 1 1., how many ing. of active oxygen will each cc. absorb? 45. How many g. of NaOH must be added to 2 1. of NaOH solution, the strength of which is 1 cc. = 0.045 g. H 2 SO 4 , to make it a normal solution? How much water to make it N/2 solution ? 46. How many g. per 1. of KMnO 4 will give a so- lution of such strength that 1 cc. = 1 % of iron when 0.5 g. is taken for analysis? 47. Given a solution of K 2 Cr 2 O 7 , 1 cc. = 0.005 g. iron, how many g. of KMnO 4 per 1. will give a solution of equal oxidizing strength? 148 PROGRESSIVE PROBLEMS IN CHEMISTRY 48. What volumes of N/2 and of N/10 H 2 SO 4 must be mixed to give 2 1. of N/5 H 2 SO 4 ? 49. A solution of hydrochloric acid is desired to be made exactly normal. If 40 cc. of the solution neu- tralized 50 cc. of 0.84 N sodium hydroxide solution, what volume of water must be added per 100 cc. of the acid solution ? 50. A solution of sodium hydroxide is desired to be made exactly 0.5 N. If 32 cc. of the solution at hand were required for the titration of 28 cc. of 0.8 N hy- drochloric acid, what volume of water must be added per 100 cc. of the alkaline solution ? 51. A solution of sodium carbonate is desired to be made exactly 0.05 N. If 24 cc. of the solution at hand neutralized 9.6 cc. of 0.12 N hydrochloric acid solu- tion, what weight of anhydrous salt, Na 2 CO 3 , must be added per 100 cc. of solution? 52. Calculate the volume of nitric oxide that could be evolved by the action of copper upon 1000 cc. of a N/7 nitric acid solution. 53. An excess of iron sulphide was added to 500 cc. of a solution of sulphuric acid. The volume of hydro- gen sulphide set free measured 4640 cc. Calculate the normality of the acid. 54. An excess of sodium sulphite was added to 400 cc. of a solution of hydrochloric acid. The volume of sulphur dioxide set free measured 5600 cc. Calculate the normality of the acid. 55. Suppose that 1400 cc. of ammonia were passed into 500 cc. of N/2 hydrochloric acid solution. Calcu- late the normality of the hydrochloric acid still present. ANALYTICAL CALCULATIONS 149 56. If 50 cc. of N/5 hydrochloric acid solution neu- tralized 40 cc. of an unknown alkaline solution, and 300 cc. of a sulphuric acid solution neutralized 60 cc. of this same alkaline solution, what is the normality of the sul- phuric acid? 57. If 200 cc. of a barium hydroxide solution were required in the titration of 40 cc. of an acid solution, and 100 cc. of this acid solution exactly neutralized 80 cc. of N/2 alkaline solution, what is the normality of the barium hydroxide solution ? 58. If 600 cc. of a sulphuric acid solution, when acted upon by an excess of zinc, evolved 1242 cc. of hydrogen, what is the normality of the acid ? 59. If 400 cc. of an acid solution, when acted upon by an excess of zinc, evolved 2430 cc. of hydrogen, measured over water at +21 C. and 747.5 mm., what is the normality of the acid? 60. Calculate the normality of a solution of potassium carbonate, 200 cc. of which, when treated with an excess of acid, evolved 4502 cc. of carbon dioxide. 61. A slight excess of barium chloride solution was added to 400 cc. of a solution of sulphuric acid. From the weight of barium sulphate precipitated, 4.12 g., calculate the normality of the acid. 62. If 50 cc. of a solution of hydrogen peroxide were required to decolorize 400 cc. of N/5 potassium perman- ganate solution (acidulated), what is the percentage concentration of the hydrogen peroxide solution? 63. Calculate the weight of a crystallized oxalic acid required for the reduction of 100 g. of potassium per- manganate in acid solution. What volume of carbon dioxide, at standard conditions, would be liberated ? 150 PROGRESSIVE PROBLEMS IN CHEMISTRY 64. If 400 cc. of N/4 potassium hydroxide solution were required for the neutralization of 600 cc. of an unknown acid solution, what is the normality of this acid solution? 65. If 500 cc. of N/10 acid solution were required for the neutralization of 25 cc. of a solution of sodium hydroxide, what is the normality of this latter solution? 66. What volume of N/10 acid solution will be required in the t titration of 440 cc. of N/4 sodium hydroxide solution? 67. What volume of N/6 alkaline solution will be re- quired in the titration of 254 cc. of N/10 acid solution? 68. Calculate the weight of hydrogen chloride pres- ent in 400 cc. of a hydrochloric acid solution which re- quired 320 cc. of N/4 alkaline solution for titration. 69. Calculate the weight of sulphuric acid present in 150 cc. of a solution which required 48.1 cc. of 0.78 N alkali for titration. 70. An excess of silver nitrate solution was added to 350 cc. of a solution of hydrochloric acid. The pre- cipitate of silver chloride weighed 7.54 g. Calculate the normality of the acid. 71. The bromine set free by the action of manganese dioxide upon a hydrobromic acid solution was passed into a solution of potassium iodide. If 200 cc. of N/10 sodium thiosulphate solution were required for the ti- tration of the free iodine, what is the weight of the bromine evolved? 72. Determine the purity of a sample of manganese dioxide, 2.2 g. of which, with excess of hydrochloric ANALYTICAL CALCULATIONS 151 acid, set free sufficient chlorine to liberate a quantity of iodine that required 250 cc. of N/5 sodium thiosulphate solution for titration. 73. What weight of iron will be required for inter- action with 400 cc. of N/5 hydrochloric acid? 74. What weight of sodium carbonate will be required for interaction with 600 cc. of N/8 sulphuric acid? What volume of carbon dioxide (at standard conditions) will be evolved ? 75. What weight of sodium hydrogen carbonate, NaHCO 3 , will be required for interaction with 600 cc. of N/8 sulphuric acid? What volume of carbon diox- ide will be evolved? 76. If 50 cc. of an acidulated potassium permanga- nate solution were reduced by 2.4 g. of anhydrous oxalic acid, what is the normality of the permanganate solution? 77. W T hat weight of sulphur dioxide will be oxidized by 50 g. of potassium permanganate in alkaline solution ? 78. What weight of sodium dichromate must enter into reaction with a hydrochloric acid solution in order to liberate 100 g. of chlorine at standard conditions? 79. Determine the normality of a potassium dichro- mate solution, 25 cc. of which oxidized 1.24 g. of ferrous sulphate to the ferric salt. 80. What volume of hydrogen sulphide, at 4- 24 C. and 750 mm. pressure, can be oxidized by 10 g. of potassium dichromate in acid solution? 81. What weight of potassium dichromate, in acid solution, will be reduced by 1653.5 cc. of sulphur diox- ide at + 22 C. and 745 mm. pressure? 152 PROGRESSIVE PROBLEMS IN CHEMISTRY 82. What volume of hydrogen sulphide will be re- quired for the reduction of 100 g. of ferric chloride, FeCl 3 , to the ferrous salt ? 83. What volume of gaseous product may be obtained in the decomposition of 100 cc. of ammonia by heated cupric oxide ? 84. What volume of hydrogen sulphide will be re- quired to reduce 200 cc. of N/10 potassium dichromate solution (acidulated) ? 85. Calculate the volume of hydrogen sulphide, at standard conditions, that can be oxidized by 4 g. of potassium permanganate in acid solution. 86. What weight of sulphur dioxide can be oxidized by 200 g. of potassium permanganate in acid solu- tion ? 87. A sample of sodium chromate, weighing 1.6780 g., gave upon analysis 1.4620 g. of sodium sulphate. What was the percentage of sodium oxide in the sample ? 88. Calculate the weight of sulphur precipitated in the reduction of 100 g. of ferric chloride to the ferrous salt by the action of hydrogen sulphide. 89. What weight of potassium dichromate will 1000 cc. of hydrogen sulphide reduce in acid solution ? 90. Calculate the percentage purity of a quantity of potassium ferrocyanide, 0.5793 g. of which gave upon analysis 0.4650 g. of potassium sulphate. 91. What is the percentage of potassium sulphate in a sample of common alum which analyzed -33.51 % sul- phur trioxide? ANALYTICAL CALCULATIONS 153 92. What is the percentage of copper carbonate in a sample of malachite which on analysis gave 57.1 % copper ? 93. A sample of carnallite (KC1, MgCl 2 , 6 H 2 O) on analysis gave 35.34% chlorine; what is the percentage of magnesium chloride present? 94. Calculate the percentage purity of a sample of marble which on analysis gave 39.6% calcium. 95. Calculate the percentage of potassium chloride in a sample of carnallite (KC1, MgCl 2 , 6 H 2 O) which on being analyzed gave 37.72% chlorine. 96. Calculate the percentage of calcium oxide, CaO, present in a sample of marble, CaCO 3 , which on being analyzed gave 43.8% carbon dioxide. 97. Two g. of impure potassium dicarbonate required, when titrated cold, in a dilute solution, 6 cc. of N/10 H 2 SO 4 ; 2 g., when titrated boiling hot, required 18 cc. of normal H 2 SO 4 . What are the percentages of K 2 CO 3 andof KHCOo? A O O 98. What volumes of N/2 and of N/10 H 2 SO 4 must be mixed to give 2 1. of N/5 H 2 SO 4 ? 99. A N/10 iodine solution is 2 % too strong. How many cc. of a N/100 iodine solution must be added to 1 1. to make it right? 100. How much more normal NaOH will it take to neutralize 1 g. of NaHSO 4 than normal KOH to neu- tralize 1 g. KHSO 4 ? 101. Suppose that 0.2 g. of a nitrogenous organic compound were heated w r ith soda lime and the NH 3 evolved was caught in 50 cc. N/10 HC1, and that the excess of HC1 was neutralized by 14 cc. of N/5 NaOH ; what was the percentage of nitrogen ? 154 PROGRESSIVE PROBLEMS IN CHEMISTRY 102. Iii 1 g. of an antimony alloy the antimony was determined by N/10 Na 2 S 2 O 3 and 24.2 cc. were required ; what is the percentage of antimony ? 103. What amount of type metal must be taken for analysis so that the burette shall read percentage of antimony when N/10 Na 2 S 2 O 3 is used? 104. Five g. of bleaching powder were mixed in a mortar with water and diluted to 1 1. ; 50 cc. of this required 30 cc. of N/10 Na 3 AsO 3 solution. What is the percentage of available chlorine ? Under these con- ditions, what fraction of normal will read percentage direct? 105. To 50 cc. of a solution of chlorine an excess of potassium iodide was added ; the liberated iodine was then estimated by a N/10 solution of Na 2 S 2 O 3 , starch being used as an indicator; and 22.5 cc. of Na 2 S 2 O 3 solution were needed. What is the strength of the chlorine solution? 106. How much more normal NaOH will it take to neutralize 1 g. of HC1 than 1 g. of HBr? 107. How many g. per 1. of K 2 Cr 2 O 7 will give a solu- tion of such strength that 1 cc. = 1 % of iron when 0.60 g. is taken for analysis ? 108. How many g. of Na 2 S 2 O 3 , 5 H 2 O per 1. will give a solution such that 1 cc. =0.5% Cu when 1 g. is taken for analysis? 109. How much water must be added to 2 1. of KMnO 4 , 1 cc. = 0.0065 g. iron, to make it N/10? 110. How much water must be added to 3 1. of K 4 Fe(CN) 6 , 1 cc. = 0.0115 g. zinc, to make it read percentage directly when 1 g. is taken for analysis? ANALYTICAL CALCULATIONS 155 111. Given a solution of K 2 Cr 2 O 7 , 1 cc. = 0.0042 g. Fe, how many g. per 1. of KMnO 4 will give a solution of equal strength? 112. Given a solution of KMnO 4 , 1 cc. = 0.0056 g. of iron, what is its strength in terms of manganese by the Volhard method and by the Ford- Williams method? 113. What is the strength of N/10 KMnO 4 in terms of H 2 C 2 O 4 ; of CaO ; of CaCO 8 ; of CaSO 4 ? 114. What is the strength of N/10 KMnO 4 in terms of P and of MoO 3 according to Noyes' method? 115. What is the strength of a N/10 sodium thio- sulphate solution in terms of iodine ; of copper ? 116. What is the strength of a N/5 iodine solution in terms of SO 2 ; H 2 SO 3 ; Na 2 SO 3 ? 117. How many cc. of N/5 Na 2 S 2 O 3 solution will be required to react with the iodine liberated by 20 cc. of a N/10 K 2 O 2 O 7 solution? 118. How many g. of copper will give, when pre- cipitated by potassium iodide, sufficient iodine to re- quire 20 cc. of N/10 SO 2 solution? How many for 10 cc. of N/10 Na 2 S 2 O 3 solution? 119. Five g. of pig iron took 12 cc. of N/100 iodine solution ; what is the percentage of sulphur ? 120. If 1.5 g. of pig iron took 78 cc. of N/10 KMnO 4 , what is the percentage of phosphorus? 121. How much NaOH must be added to 1.890 1. of NaOH solution, the strength of which is 1 cc. = 0.045 g. H 2 SO 4 , to make it normal? How much water to make it N/2? 156 PROGRESSIVE PROBLEMS IN CHEMISTRY 122. One g. of a rock gave, on analysis : combined sodium and potassium sulphates, 0.150 g. ; and plati- num from K 2 PtCl 6 , 0.1127 g. What are the percentages of K 2 O andNa 2 O? 123. Which is more economical for neutralizing an alkali, 60 % HNO 3 at 6 cts. per Ib. or 20 % HC1 at 3 cts. per Ib. ? 124. Which is the more economical oxidizing agent, KNO 3 at 5 cts. a Ib. or NaNO 3 at 51 cts. a Ib. ? 125. Calculate the number of g. per 1. to give normal solutions of oxalic acid; of tartaric acid; of acetic acid ; of citric acid. 126. Calculate the number of g. per 1. to give half normal solutions of I ; of Na 2 S 2 O 3 , 5 H 2 O ; of SO 2 . 127. Calculate the amounts necessary to make 2 1. of N/10 NaCl and NaBr. 128. Calculate the strength of N/20 KMnO 4 to be used in titrating K 4 Fe(CN) 6 . 129. What is the strength of N/10 KMnO 4 in terms of Fe; Fe 2 O 8 ; Fe 3 O 4 ; FeSO 4 , 7H 2 O? 130. How many g. of oxalic acid in a molar and in a normal solution? 131. How many cc. of a N/3 solution of AgNO 3 will precipitate 20 cc. of a 10% sodium chloride solution? 132. What weight of As 2 O 3 will be necessary to make a twice molar and a N/2 solution ? 133. One g. of coal gave 0.2634 g. of BaSO 4 by Eschka's Method; 1 g. of MgO and 0.5 g. of Na 2 CO 3 were used. It was found that both contained sulphur ; ANALYTICAL CALCULATIONS 157 10 g. of MgO and 5 g. of Na 2 CO 3 (together) gave 0.1654 g. of BaSO 4 . What is the percentage of sul- phur in the coal? 134. Suppose that 1 g. of silver is dissolved in nitric acid and to it is added 0.25 g. of pure dry sodium chlo- ride. What percentage of the silver remains in solution ? 135. Suppose that 0.25 g. of sodium bromide is added to a solution of 1 g. of silver; what percent- age of silver remains in solution? 136. A dolomite contains 98 % of calcium and mag- nesium carbonates, 2 % of SiO 2 , and 10 % of MgO ; what is the percentage of CO 2 ? 137. Calculate the chemical factors for (a) (NH 4 ) 2 O from 2NH 4 C1, PtCl 4 ; (5) for K in 2 KC1, PtCl 4 ; () The vapor density of acetic acid is 29.7, and the percentage composition indicates one of these symbols. Which is correct: (1) H 2 CO ; (2) H 6 C 3 O 3 ; (3) H 4 C 2 O 2 ? (V) To which of these formulas does the density 33.5 apply: (1) C1O 2 ; (2) C1 2 O 4 ? SYSTEMATIC REVIEW 209 477. What weight of calcium carbonate is required to neutralize 400 cc. of hydrochloric acid solution which contains 100 g. of the pure substance ? 478. The specific heat of phosphorus is 0.189. The vapor density of phosphorus is 62. How many atoms are there in the molecule of phosphorus gas ? 479. How much nitrogen may be obtained from 22 g. of ammonium nitrite ? What volume would it occupy at + 20 C. and 756 mm. pressure? 480. In every 100 parts of nitric acid there are 1.58 parts of H, 76.19 parts of O, and 22.23 parts of N. Does this fix the formula of the acid? Why do we accept the formula HNO 3 ? 481. If 100 g. of gypsum are heated, what volume of steam at + 300 C. is given off? 482. How much carbon dioxide by weight and by volume can be obtained from 53 g. of sodium carbonate? What volume would the gas occupy at + 20 C. and under a pressure of 75 mm. ? 483. A 1. of a certain gas weighs 7.50 g., while a 1. of hydrogen under the same conditions weighs 0.050 g. The atomic weight of the element composing the gas is 75. How many atoms are there in one molecule of the gas? 484. What volume of oxygen under standard condi- tions can be obtained from 5 g. of potassium chlorate? 485. What is the atomic weight of silver, if the specific heat is 0.056 and the atomic heat is 5.99 ? 486. Find the specific heat of silver, if the atomic weight is 107 and the atomic heat is 5.99. 210 PROGRESSIVE PROBLEMS IN CHEMISTRY 487. Compute atomic heats from the data that follow: (a) Hg, at. wt. 199, sp. ht. 0.033; (ft) iodine, at. wt. 126, sp. ht. 0.054; () when 700 g. of copper cools from -f 250 C. to + 140 C.? 617. If 500 g. of water at + 5C. and 500 g. of mer- cury at C. are each given the same quantity of heat, how hot will the mercury become when the water has been heated to + 10C.? CHAPTER XIV A Progressive Series of Problems based on Equa- tions taken from a recent text-book on General Inorganic Chemistry 1. If 63 g. of sodium react with hydrogen monox- ide, what is the weight of gas evolved? 2. If 32 g. of muriatic acid are treated with zinc, how many g. of salt are produced ? 3. Zinc is boiled with caustic soda solution and 10 1. of a gas are given off. Find weight of zinc and caustic soda used. 4. A solution containing 27 g. NaOH is heated with an excess of zinc. Find weight and volume of gas produced. 5. What weight of oxygen and what other compo- nent is required to make 100 g. of BaO 2 ? 6. Sodium peroxide, when added to water, liberates 10 1. of oxygen at + 6 C. and 662 mm. Find weight of NaOH produced. 7. What volume of ozone can be made from 300 g. of oxygen ? 8. What weight of water is required to decompose completely 23 g. of Na 2 O 2 ? 9. What weight of NaOH can be made from 200 g. of sodium monoxide ? 225 226 PROGRESSIVE PROBLEMS IN CHEMISTRY 10. On heating 392 g. of copper hydroxide, what weights of products do you get ? 11. Into how many g. of the resultant gases do 222 1. of HC1 decompose ? 12. In the synthesis of 100 g. of table salt, what weights of the components are used and what volume of the gaseous constituent is needed at | atmospheric pressure and a temperature of + 10 C. ? 13. What volume of HC1 is needed to produce 30 g. of MnCl 2 ? 14. What weight and volume of oxygen will be needed to liberate 102 m. 3 of chlorine from muriatic acid? 15. We need 2 tons of bromine. What weight of chlorine is required and how much NaCl will be pro- duced? 16. If 110 g. of Nal are decomposed by chlorine, what are the weights of the products, and what is the volume of chlorine at + 300 C. and 663 mm.? 17. If 222 1. of chlorine are dissolved in water and exposed to the sun, what weights of materials will be left after complete decomposition? 18. How much KOH would be needed to make 79 g. of KC1? 19. Fluorine and water gave 63 1. of HF at C. and 771 mm. Find volume of fluorine used at 10 C. and 621 mm. 20. NaCl + H 2 SO 4 will give either sodium sulphate or sodium hydrogen sulphate according to the tempera- ture. If 100 g. of H 2 SO 4 are used in either case, what weight of salt will be required? PROBLEMS BASED ON EQUATIONS 227 21. NaBr will give what volume and weight of HBr when treated with 16 g. of H 3 PO 4 ? 22. PBr 3 with 100 g. of H 2 O will give what weights and what volume of gaseous product? 23. Of phosphorus 10 lb., of bromine 6 lb., and of water 1 lb. are mixed. After complete reaction, what weights of products and of excess do you get? 24. If 20 g. of HKF 2 decompose, what weights of w r hat substances result? 25. What weight of fluorspar will give 10 lb. of CaSO 4 when treated with oil of vitriol? What volume of gas will result at 40 C. and 2 atmospheres pressure? 26. An iron ore is 60 % silica. What weight of sam- ple was taken if it requires 20 1. of HF to decompose it? 27. The decomposition of 2 lb. LiCl will give how many 1. of chlorine at 1 C. and 600 mm. ? 28. To make 1 Kg. of potassium, what weight of car- bon and K 2 CO 3 will be needed, and what volume of gas will be evolved? 29. What weight of ammonium salt is required by 13 1. of nitrogen at +112 C. and 300 mm. ? 30. What weight of NH 4 NO 3 will yield 21 1. of laughing gas at standard conditions? 31. In the synthesis of 30 g. of ammonia, what vol- ume of the components will be needed at + 13 C. and 900 mm. ? 32. What weight of water is required by 10 g. of Mg 3 N 2 for complete decomposition, and what volume of gas will be evolved ? 33. NH 4 OH, on breaking up, gives 3 1. of NH 3 at C. and 760 mm. Find weight of hydroxide used. 228 PROGRESSIVE PROBLEMS IN CHEMISTRY 34. Sal-ammoniac is treated with 10 g. of KOH. Find weights of resulting compounds. 35. If 20 g. of potassium and enough ammonia inter- act, what weight and volume of hydrogen is produced? 36. What weight of salt is given by 300 cc. of HC1 + NH 3 ? 37. Lime water treated with 10 1. of CO 2 at standard conditions will give what weight of precipitate ? 38. How much acid calcium carbonate can be pro- duced from 1 Ib. of slaked lime and sufficient CO 2 ? 39. A1 4 C 3 on treatment with 12 Kg. of water will give what volume of CH 4 and what weight of precipi- tate? 40. To produce 3000 cc. of CH 4 , what weight of sodium acetate would be needed ? 41. What volume of oxygen would be needed to burn 300 cc. of marsh gas ? 42. If 2 1. of oxygen are heated with carbon, what volume of gas is produced at | atmospheric conditions ? 43. If 100 Ib. of chalk are treated with HC1, what weight of water will be produced ? 44. Magnesium is burned in a flask containing 20 1. of choke damp at C. and 760 mm. Find weight of magnesium used and of carbon liberated. 45. To produce 20 1. of CO," what weights of sub- stances are needed ? 46. Carbon is heated with 100 g. of oxygen. Find the weight of the product. 47. How much H 2 O and CO 2 will be needed to pro- duce a gram molecule of formic acid ? PROBLEMS BASED ON EQUATIONS 229 48. One ton of coke and steam reacting will give what volume of gas at -f- 10 C. and 777 mm. ? 49. If 800 cc. of CO are passed over heated CuO, what weight of copper is left ? 50. In the reduction of 100 tons of hematite, what weight of CO will be needed and what weight of metal will result ? 51. K 2 S 5 + 100 g. of HC1 will give what weight of sulphur; what volume of gas ? 52. Ca 3 (PO 4 ) 2 + 3 SiO 2 + 5 C = 3 CaSiO 3 + 5 CO + 2 P. Find weights of products when 3 Kg. of C. are used ; find volume of CO at - 40 C. and 1000 mm. 53. Arsenopyrite is roasted with 10 g. of oxygen. Find volume of gas evolved and As 2 O 3 produced. 54. In the reduction of 200 g. of poisonous flour, wkat weight of metal is produced ? 55. What weights of materials will be needed to produce 100 Ib. of antimony ? 56. One Kg. sodium reacts on BaCl 2 . Find weight of common salt produced. 57. We need 200 g. of boron; what weight of the oxide and sodium will be needed ? 58. What weight of magnesium must be used to re- duce 10 Kg. of B 2 O 3 ? 59. What weight of aluminum can be made from the double halogen salt of aluminum when treated with 100 g. of sodium? 60. In the Goldschmidt alumino-thermic process, what weight of materials must be used to give 100 Ib. of iron ? 230 PROGRESSIVE PROBLEMS IN CHEMISTRY 61. If 10 g. of aluminum are treated (a) with HC1 ; () with NaOH ; ( I o o w ~ pou9< * I 1 s S 3 oil* I I ^ , S w 2 s. ' i ? s i si i 5 is !!?! 11 f US en ^ ii a ' I 7 Gadolinium . . Gd 156 1.31 119.1 ;io Gallium . . . Ga 70 5.9524 11.8 .079 31 Germanium . . Ge 72.5 5.469| 13.3 .0737 :52 Glucinum (Beryl- Gl 9.1 1.85 20 A 4.9 x; Gold . . [Hum) Au 197.2 19.32 10.2 .0316 ;u Helium, gas . . He 4 4 C 0.1368 A 1 1.98 D *From Van Nost rand's Chemical Annual Olsen. f K = the number of grams of water which can be raised from to 1 C. by the heat which passes through a cubic centimeter of the substance in APPENDIX 253 OF THE ELEMENTS* Number ||? Electrical Conduc- tivity at C. Thermal Conduc- tivity Kt at C. Ag- = 1.00 Linear Coefficient of Expansion Melting Point, Boiling Point, 1 6.02 324000 .3435 .0 4 2313 AtC. 40 657 1470-1700 2 5.95 27100 .0442 .0 4 1152 40 630 1500-1700 3 4.92 .0 4 3894 187.9 - 186.1 4 6 5.69 28600 .0 4 0559 40 <360 6 6.23 sublimes at 449* 7 850 vol. 950 8 6.28 9260 .0177 .0 4 1346 40 269 1435 1) 3.37 infusible sublimes at 10 infusible 3500 11 4.44 12 8.57 -7.3 59 13 6.16 146000 .2213 .0 4 3069 40 321.7 778 14 6.41 25400 .0 3 39482 27-100 26.37 670 15 7.23 95000 780-810 16 2.89 .0 4 054 40 sublimes 3500 17 2.22 .0 4 0786 40 sublimes 3500 18 1.76 .0 4 0118 40 sublimes 3500 19 6.28 623 20 4.40 -102 - 33.6 21 8.02 2 1978 0-10 22 5.42 1515 23 6.08 83200 .0 4 1236 40 1530 24 1950 25 5.95 640600 .7198 .0 4 1678 40 { 1084 1065(inair) 2100 27 223 187 28 223 187 29 30 5.53 30.15 31 5.34 900 vol. 1350 32 >960 33 6.23 468000 .7003 .0 4 1470 0-100 1065 34 .0 3 3386 < - 271.3 -267 one second when the temperatures of the opposite sides of the cube are maintained at a difference of 1 C. 254 APPENDIX Number || Name Sym- bol Atomic Weight O = 16 Molec- ular Weight Specific Gravity Water=l Air=l (A) Hydrogen = 1(D) Atomic Vol. At.Wt. Specific Heat at C. Sp. Gr. 1 Hydrogen, gas . H 1.008 2.016 0.06949 A 3.410 2 liquid .... H 1.008 2.016 0.700-252.60 1.4 6. 3 Indium .... In 115 7.12?- 16.1 .05695 4 Iodine, gas . . . I 126.97 8.72 A .0336206 K solid ..... I 126.97 253.94 4.94817 25.7 .05412 6 Iridium, spongy . Ir 193.0 15.86 12.2 7 crystalline . . Ir 193.0 22.42 8.6 .0323 8 Iron, pure . . Fe 55.9 7.85-7.88 7.1 .1162 a wrought . . . Fe 55.9 7.86 7.1 .1130 10 steel .... Fe 55.9 7.60-7.80 7.3 .1066 11 gray pig . . . Fe 55.9 7.03-7.13 7.9 12 white pig . . Fe 55.9 7.58-7.73 7.3 .1050 13 Krypton, gas . . Kr 81.8 81.8 ( 2.818 A I 40.78 D 14 liquid .... Kr 81.8 2.155-152 37.9 15 Lanthanum . . La 138.9 6.1545 22.6 .04485 K; Lead Pb 206.9 11.34 18.2 .0310 17 Lithium. . . . Li 7.03 0.5936 12 .9408 IS Magnesium . . Mg 24.36 1.69-1.75 14.3 .2456 1!) Manganese . . Mn 55.0 7.42 7.4 .1217 20 Mercury . . . Hg 200.0 200.00 13.59532 14.7 .03346 21 Molybdenum . . Mo 96.0 8.6-9.01 10.9 .0659 22 Neodymium . . Nd 143.6 6.9563 20.6 i:\ Neon Ne 20 | 0.674 A 1 9.96 D 24 Nickel .... Ni 58.7 8.6-8.93 6.7 .1084 25 Nitrogen, gas . . N 14.04 28.08 0.96737 A .2438 2<; liquid .... N 14.04 0.8042-195.50 17.5 27 Osmium . . . Os 191 22.48 8.5 .03113 28 Oxygen, gas . . 16 32 1.10535 A .2175 29 liquid .... 16 32 1.1181-182.5 14.3 30 Ozone .... 3 48 1.658 A 31 Palladium . . . Pd 106.5 11.4-11.9 9.2 .0592 32 Phosphorus, yel. P 31 124 1.823220 17.2 .202 33 red P 31 124 2.11 14.7 .16981 34 liquid .... P 31 1.76444.30 35 Platinum . . . Pt 194.8 21. 481* 9.2 .0323 3<> Potassium . . . K 39.15 0.87513 44.7 .1662 37 Praseodymium . Pr 140.5 6.4754 21.6 38 Radium .... Ra 225 39 Rhodium . . . Rh 103.0 12.1 8.5 .05803 40 Rubidium . . . Rb 85.5 1.52215 56.3 APPENDIX 255 | Number II 11* Effi~ 41-x Electrical Conduc- tivity at 0"C. ' Thermal Conduc- tivity Kt at C. Ag = 1.00 Linear Coefficient of Expansion Melting Point, C. Boiling Point, C. 1 3.44 .0 3 3270 AtC. 256.5 - 252.5 2 6.05 o 6.56 119500 .0 4 417 40 115 red heat 4 4.27 5 6.86 .0 4 837 -190-17 114.2 184.35 6 7 6.23 .0 4 0700 40 1950 8 6.50 131000 .1665 .0 4 1182 0-100 1804 9 6.32 .2070 .0 4 11 0-100 1600 10 5.96 63000 .1300 .0 4 11 0-100 1375 11 { 10200- .0 4 1061 40 1275 1L> 5.87 (11300 .1490 1075 13 169 151.7 14 15 6.23 810 1(5 3.52 504CO .0836 .0 4 2924 40 327 1400-1600 17 6.62 119000 186 >1400 IS 5.98 230000 .3760 .0 4 2694 40 632.6 1100 19 6.70 1245 20 6.69 10630 .0148 .0 3 182 0-100 38.85 357.33 21 6.33 22 840 23 f 243 to 1 - 233 24 6.36 144200 i .1420 .0 4 1279 40 1484 25 3.42 .0 4 524 210.5 (84 - 195.5 2<; [mm.) 27 5.95 105300 .0 4 0657 40 2500 28 3.48 .0 4 563 < 230 182.5 29 30 decomp. 270 -119 31 6.30 97900 .1683 .0 4 1176 40 1535-1586 32 6.26 .0 3 124 0-44 44.2 290 33 5.26 350 (yel.) 34 35 6.29 91200 .1664 .0 4 0899 40 1710-1780 36 6.51 150500 .0 4 83 0-50 62.5 757.5 37 940 38 39 5.97 .0 4 0850 40 1650-2000 40 38.5 696 f See note on p. 252. 256 APPENDIX | Nnmber 1 1 Name Sym- bol Atomic Weight 16 Molec- ular Weight Specific Gravity- Water = 1 Air = l (A) Hydrogen = Atomic Vol. At.Wt. Specific Heat at C. Sp. Qr. 1 Ruthenium, spon. Ru 101.7 8.6 11.8 2 melted . . . Ru 101.7 11.4 8.9 3 cryst Ru 101.7 12.268 8.3 .0611 4 Samarium . . . Sm 150.3 7.7-7.8 19.4 5 Scandium . . . Sc 44.1 6 Selenium, amorph. Se 79.2 633.6 4.26-4.2825 18.5 .09533 7 monoclinic . . Se 79.2 633.6 4.4725 17.7 .08401 8 hexagonal . . Se 79.2 633.6 4.825 16.5 ( .) Silicon, amorph. Si 28.4 2.00 14.2 10 cryst Si 28.4 2.49i 11.4 .169722 11 Silver . . . . Ag 107.93 10.53 10.2 .0559 12 Sodium .... Na 23.05 0.973513.50 23.7 .2934 13 Strontium . . . Sr 87.6 2.54 34.5 Sulphur, 14 amorphous soft S 32.06 256.48 1.9556 16.4 15 " yellow S 32.06 256.48 2.046 15.6 16 rhombic . . . Sa 32.06 256.48 2.05-2.07 15.6 .163 17 monoclinic . . S/3 32.06 256.48 1.958 16.4 18 plastic . . . Sy 32.06 256.48 1.92 16.7 11) Tantalum . . . Ta 183 12.79 143 20 Tellurium, amorp. Te 127.6 255.2 6.0152 21.2 21 cryst Te 127.6 255.2 6.27 20.4 .0475 22 Terbium . . . Tb 160 23 Thallium . . . Tl 204.1 11.85 17.2 .0326 24 Thorium, amorph. Th 232.5 11.0011 21.1 2f> cryst Th 232.5 11.23 20.7 20 Thulium .... Tm 171 27 Tin, gray . . . Sn 119.0 5.846615 20.3 .0545 28 rhombic . . . Sn 119.0 6.53-6.56 18.2 .0559 2!) tetragonal . . Sn 119.0 7.298415 16.3 .0559 30 Titanium . . . Ti 48.1 3.543 13.6 .1125 31 Tungsten . . . W 184 18.77 9.8 .0336 32 Uranium . . . u 238.5 18.685V 30 12.8 .0280 33 Vanadium . . . V 51.2 5.8715 8.7 .1153 34 Xenon, gas . . Xe 128 | 4.422 A 1 63.5 D 35 liquid. . . . Xe 128 3.52-109.10 49.1 36 Ytterbium . . . Yb 173.0 37 Yttrium . . . Yt 89.0 3.8015 23.4 38 Zinc Zn 65.4 7.14216 9.2 .09356 3!) Zirconium, amorp. Zr 90.6 4.15 21.8 40 cryst Zr 90.6 5.3 17.1 .0660 APPENDIX 257 i Number 1 1 *j* - Electrical Conduc- tivity at Wt. Thermal Conduc- tivity Kt at C. Ag = 1.00 Linear Coefficient of Expansion Melting Point, foiling Point, 1 At C. > 1950 2 2000 3 6.21 .0 4 0963 40 2000 4 5 6 7.55 50 690 7 6.65 .0 4 3680 40 170-18 690 8 217 690 g 3500 10 4.82 200-15600 .0 4 0763 40 1200 3500 11 6.04 681200 1.000 .0 4 1921 40 961.5 2050 12 6.76 211000 .365 .0 4 72 0-50 97.6 877.5 1.3 40300 900 14 >120 444.6 15 444.6 1(5 5.23 .0 4 6413 40 114.5 444.6 17 119.25 444.6 18 444.6 19 60600 .0 4 08 2250 20 .0 4 1675 40 446 1390 21 6.07 46600 .0 4 3440 0-20 452 1390 22 23 6.65 56800 .0 4 3021 40 301.7 1600-1800 24 25 27 6.49 stable <20 28 6.65 stable >170 29 6.65 76600 .1528 .0 4 2234 40 232 1450-1600 30 5.41 3000 31 6.18 1700 32 6.68 800 33 5.90 1680 34 -140 3 - 109.1 35 37 38 6.12 186000 .2653 .0 4 2918 40 419 918 39 1500 40 5.98 t See note on p. 252. 258 APPENDIX VI. VOLUME AND WEIGHT OF WATER FROM C. TO 31 C.* Tempera- ture Volume of one gram in c.c. , Weight of one c.c. in grams Tempera- ture Volume of one gram in c.c. Weight of one c.c. in grams 1.000126 0.999874 16 1.001025 0.998976 1 1.000070 0.999930 17 1.001193 0.998808 2 1.000030 0.999970 18 1.001373 0.998629 3 1.000007 0.999993 19 1.001564 0.998438 4 ' 1.000000 1.000000 20 1.001768 0.998235 5 1.000008 0.999992 21 1.001981 0.998023 6 1.000031 0.999969 22 1.002204 0.997801 7 1.000069 0.999931 23 1.002438 0.997568 8 1.000122 0.999878 24 1.006781 0.997326 9 1.000188 0.999812 25 1.002935 0.997073 10 1.000269 0.999731 26 1.003199 0.996811 11 1.000363 0.999637 27 1.003472 0.996540 12 1.000470 0.999530 28 1 003788 0.996226 13 1.000590 0.999410 29 1.004045 0.995971 14 1.000722 0.999278 30 1.004346 0.995673 15 1.000867 0.999134 31 1.004656 0.995365 For the most recent results on the expansion of water, which do not differ materially from the preceding, see An- nalen d. Physik u. Chemie, [K R], 60, 340 (1897). * Wied. Ann., 47, 400 (1892). APPENDIX 259 VII. VAPOR PRESSURE OF WATER FROM C. TO 100 C. IN MILLIMETERS OF MERCURY.* Temp. Pressure Temp. Pressure Temp. Pressure Temp. Pressure 4.569 25 23.517 50 91.98 75 288.76 1 4.909 26 24.956 51 96.66 76 301.09 2 5.272 27 26.471 52 101.55 77 313.85 3 5.658 28 28.065 53 106.65 78 327.05 4 6.069 29 29.744 54 111.97 79 340.73 5 6.507 30 31.51 55 117.52 80 354.87 6 6.972 31 33.37 56 123.29 81 369.51 7 7.466 32 35.32 57 129.31 82 384.64 8 7.991 33 37.37 58 135.58 83 400.29 9 8.548 34 39.52 59 142.10 84 416.47 10 9.140 35 41.78 60 148.88 85 433.19 11 9.767 36 44.16 61 155.95 86 450.47 12 10.432 37 46.65 62 163.29 87 468.32 13 11.137 38 49.26 63 170.02 88 486.76 14 11.884 39 52.00 64 178.86 89 505.81 15 12.674 40 54.87 65 187.10 90 525.47 16 13.510 41 57.87 66 195.67 91 545.77 17 14.395 42 61.02 67 204.56 92 566.71 18 15.330 43 64.31 68 213.79 93 588.83 19 16.319 44 67.76 69 223.37 94 610.64 20 17.363 45 71.36 70 233.31 95 633.66 21 18.466 46 75.13 71 243.62 96 657.40 22 19.630 47 79.07 72 254.30 97 681.88 23 20.858 48 83.19 73 265.38 98 707.13 24 22.152 49 87.49 74 276.87 99 733.16 * Taken from Ostwald's Manual of Physico-Chemical Measurements. 260 APPENDIX VIII. TABLE OF ELECTRO-CHEMICAL EQUIVALENTS Table of Electro-chemical Equivalents based on the definition of the ampere and the atomic weights, oxygen being 16 Element Atomic Weight Valency Chemical Equivalent Electro-chemical Equivalent Grams pef coulomb Coulombs per gram (J rains per ampere-hour Ampere-hours per pound Electropositive Aluniinum .... 27.11 3. 9.037 .00009362 10680. .3370 1346. Antimony .... 120.43 3. 40.14 .0004159 2405. 1.497 303.0 Bismuth 208.11 3. 69.37 .0007186 1392. 2.587 175.3 Cadmium .... 112.38 2. 56.19 .0005821 1718. 2.096 216.4 Cobalt 58.99 2. 29.5 .0003056 3272. 1.100 412.2 Copper (cuprous) 63.6 1. 63.6 .0006589 1518. 2.372 191.2 Copper (cupric) . . 63.6 2. 31.8 .0003295 3036. 1.186 382.4 Gold 197.23 3. 65.78 .0006815 1467. 2.453 184.7 Hydrogen .... 1.008 1. 1.008 .00001044 95785. .03758 12070. Iron (ferrous) . . . 56.02 2. 28.01 .0002902 3446. 1.045 434.0 Iron (ferric) . . . 56.02 3. 18.67 .0001934 5171. .6962 651.5 Lead 20fi Q9 2. 103.5 .001072 932.8 3.859 117.5 Magnesium .... ^UO.r/^ 24.28 2. 12.14 .0001258 7949. .4528 1001. Manganese .... 54.99 2. 27.50 .0002849 3510. 1.026 442.1 Mercury (mercurous) 200. 1. 200. .002072 482.6 7.459 60.81 Mercury (mercuric) . 200. 2. 100. .001036 965.3 3.730 121.6 Nickel 58.69 2. 29.35 .0003041 3288. 1.095 414.2 Platinum .... 194.89 4. 48.72 .0005047 1981. 1.817 249.6 Potassium .... 39.11 1. 39.11 .0004052 2468. 1.459 310.9 Silver 107 <> 1 107.92 .001118 894.5 4.025 112.7 Sodium i\j ^ *? 23.05 1. 23.05 .0002388 4188. .8597 527.6 Tin (stannous) . . 119.05 2. 59.52 .0006166 1622. 2.220 204.3 Tin (stannic) . . . 119.05 4. 29.76 .0003083 3243. 1.110 408.6 Zinc 65.41 2. 32.70 AAAOOOO 2952. 1.220 371.8 Electronegative . UUUOOOo Bromine 79.95 j 79.95 AAAQOQQ 1207. 2.982 152.1 Chlorine 35.45 1. 35.45 vUUojJoO .0003673 2723. 1.322 343.1 Iodine 126.85 1, 126.85 .001314 761.0 4.730 95.90 Nitrogen . 14.04 3. 4.68 .00004848 20627. .1745 2599. 16. 2. S. .00008288 12066. .2984 1520. APPENDIX 261 IX. TABLE SHOWING THE RELATIONS BETWEEN UNITS OF ELECTRICITY, HEAT, AND POWER 1 ampere = 1 volt -r- 1 ohm. " =1 coulomb per second. 1 ampere hour = 1 coulomb per sec- ond kept up for one hour. 1 ampere hour = 3600 coulombs. 1 volt = 1 ampere X 1 ohm. 1 ohm = 1 volt -4- 1 ampere. 1 joule = 1 volt x 1 coulomb. " = .2381 calorie. = .73732 foot-pound. " = .10194 kilogram-meter. 1 calorie = 4.2 joules. = 3.0968 foot-pounds. " = .42815 kilogram-meter. 1 foot-pound = 1.3563 joules. = .32292 calorie. = .13825 kilogram- meter. 1 kilogram-meter = 9.81 joules. " =2.3362 calories. = 7.233 foot- pounds. 1 watt-hour = 1 watt kept up for one hour. 1 watt-hour 1 joule per second kept up for one hour. 1 watt-hour = 3600 joules. = 857.16 calories. = 2654.4 foot-pounds. = 366.98 kilogram-me- ters. 1 watt = 1 joule per second. " = .2381 calorie per second. = .73732 foot-pound per sec- ond. 1 watt = .10194 kilogram-meter per second. 1 watt = .0013406 horse-power. " = .001 kilowatt. 1 horse-power = 745.94 watts. = 177.6 calories per second. 1 horse-power* = 10656 calories per minute. 1 horse-power = 550 foot-pounds per second. 1 horse-power = 33000 foot-pounds per minute. 1 horse-power = 76.04 kilogram, meters per sec- ond. 1 horse-power = 4562.4 kilogram- meters per min- ute. 1 horse-power = .74594 kilowatt. 1 kilowatt = 1000 watts. " = 1000 joules per second. ". = 238.1 calories per sec- ond. 1 kilowatt = 14286 calories minute. per 1 kilowatt = 737.32 foot-pounds per second. 1 kilowatt = 44239 foot-pounds per minute. 1 kilowatt = 101.94 kilogram-me- ters per second. 1 kilowatt --= 6116.4 kilogram-me- ters per minute. 1 kilowatt = 1.3406 horse-power. 262 APPENDIX X. HEATS OF COMBINATION Heats of Combination in Calories, for Equivalent Weights in Grams, of Chlorides, Bromides, Iodides, Sulphate, and Nitrates * Element Valence Chloride Bromide Iodide Sulphate Nitrate Aluminium . . 3 53660 39900 23463 25315 Antimony . . . 3 30463 Bismuth 3 30210 Cadmium . 2 46620 37600 24215 44940 43000 Cobalt .... 2 38240 44350 42270 Copper .... 1 32875 24985 16260 Copper .... 2 27980 26205 Gold .... 3 7607 2950 Hydrogen . . . 1 39315 28380 13170 39170 33830 Iron 2 41025 46600 44835 Lead .... 2 41385 32225 19900 34035 Magnesium . . 2 75505 90090 88240 Manganese . . 2 55995 60625 58860 Mercury . . . 2 31580 17155 18535 Nickel .... 2 37265 43475 41710 Silver .... 1 29380 22700 13800 10195 8390 Tin .... 2 40395 Zinc 2 48605 37965 24615 53045 51255 * These values are taken from Thomsen's Thermo-chemische Unter- suchungen. The sulphates, nitrates, and hydrogen compounds are for aqueous solutions. The chorides, bromides, and iodides are anhydrous. APPENDIX 263 XL SPECIFIC RESISTANCE OF VARIOUS SUBSTANCES Substance Temperature j*> J 1 GO p in Ohms % Solution Observer 0C. 10 6 .000001500 Matthiesen 10.6 .000001530 M 89 .000001594 i Copper (hard drawn) .... Gold (annealed) Gold (hard drawn) Aluminium (annealed) . . . Platinum (annealed) .... II 8.9 19.3 19.3 2.6 21.2 8.1 .000001629 .000002052 .000002089 .000002903 .000009030 .000009687 ' Tin (pressed) . . II 7 3 00001317 t Zinc (pressed) . . 71 .000005598 4 Lead (pressed) II 11.4 .00001957 4 Nickel (pressed) M 8.5 00001242 j German silver . . II about .0000209 4 Graphite . . . (( 2 3 0024 to .042 Everett Retort carbon II 1 9 07 Mercury M 13 6 000094073* Nitric acid in water 18 C. 1.185 1.28 t 29.7 Kohlrausch Hydrochloric acid in water . . Sulphuric acid in water . . . Phosphoric acid in water . . . Tartaric acid in water .... Acetic acid in water .... Ammonium chloride in water . Sodium chloride in water . . Sodium sulphate in water . . Zinc sulphate in water . . . Zinc sulphate in water . . . Copper sulphate in water . . . Potassium sulphate in water Potassium bichromate in water- n' 10 C. 1.092 1.224 1.307 1.107 1.022 1.270 1.422 1.205 1.31 f 1.36 t 4.79 t 9.97 t 61.9 t 2.5 t 4.7 t 11.3 t 28.5 t 33.7 J 29.3 $ 16.6 $ 29,6 J 18.3 80.4 46.8 22.4 16.6 Kohlrausch and ) Nippoldt Ewing and Macgregor. Further data on the conductivity of the solutions can be found in Physikalisch-Chemische Tabellen, Landolt and Bornstein, pp. 103, 106. Kohlrausch and Nippoldt, Pogg. Ann., 138, p. 379 (1869). Grotrian Pogg. Ann., 151, p. 378 (1874). Kohlrausch and Grotrian, Pogg. Ann., 159, p. 233 (1876); and Wied. Ann., 6, p. 145 (1879). * From the definition of the ohm. t Solution of minimum resistance. J Saturated solution. 264 APPENDIX XII. DENSITIES OF VARIOUS SUBSTANCES The following table gives the weight in grams of 1 cc. of the substance. These densities are but approximate. Acetic acid 1.064 Agate 2.615 Alcohol, absolute . . . 0.796 Alcohol, methyl . . . .0.796 Alum 1.724 Aluminium 2.670 Amber 1.078 Antimony, cast .... 6.720 Apple-tree wood .... 0.790 Arsenic ' . . 8.310 Ash, dry 0.690 Ash, green 0.760 Asphalt 2.500 Basalt 2.950 Beech, dry ... 0.690 to 0.800 Beeswax 0.964 Bell-metal 8.050 Benzine .... 0.72 to 0.740 Benzole 0.884 Birch 0.690 Bismuth, cast 9.822 Blood 1.060 Boxwood 1.280 Brass, cast 8.400 Brass, sheet 8.440 Brick 1.6 to 2.000 Bromine 3.187 Butter 0.942 Calcium chloride . . .. 2.230 Camphor 0.988 Carbon disulphide . . . 1.272 Carbon dioxide, liquid . . 0.947 Cedar, American .... 0.554 Chalk 1.8 to 2.800 Cherry-tree 0.710 Chestnut 0.606 Chloroform. . 1.500 Clay 1.920 Coal, anthracite . 1.26 to 1.800 Coal, bituminous . 1.27 to 1.423 Cobalt 8.800 Concrete, ordinary . . . 1.900 Concrete, in cement . . . 2.200 Cork 0.240 Copper, cast 8.830 Copper, sheet 8.878 Deal, Norway 0.689 Diamond 3.530 Earth .... 1.52 to 2.000 Ebony 1.187 Elder 0.690 Elm 0.579 Elm, Canadian .... 0.725 Emerald 2.770 Emery 3.900 Ether 0.720 Feldspar 2.600 Fir, spruce 0.512 Fluorspar 3.200 Galena 7.580 German silver 8.432 Glass, flint . . . . 3.0 to 3.600 Glass, crown 2.520 Glass, plate 2.760 Glycerine 1.260 Gold 19.360 Gypsum, crys 2.310 Granite 2.650 Graphite 2.500 Gun-metal 8.561 Gutta-percha 0.966 Heavy-spar 4.430 Honey ....... 1.450 Human body 0.890 APPENDIX 265 XII. DENSITIES OF VARIOUS SUBSTANCES Continued Hydrochloric acid, aq. sol. 1.222 Ice 0.917 Iceland spar 2.723 Iron, bar 7.788 Iron, cast 7.230 Iron, wrought 7.780 India-rubber 0.930 Iodine 4.950 Iron pyrites 5.000 Ivory 1.820 Lard 0.947 Lead, cast 11.360 Lead, sheet .... 11.400 Lignum vitse 1.333 Lime, quick 0.843 Limestone 3.180 Logwood 0.913 Magnesium 1.750 Mahogany . . . 0.56 to 0.852 Maple 0.755 Marble 2.720 Mercury 13.596 Milk -. . 1.032 Molasses 1.426 Mortar, average .... 1.700 Naphtha 0.848 Nitric acid . . . 1.38 to 1.559 Oak, American red . . . 0.850 Oak, American white . . 0.779 Oak, live, seasoned . . . 1.068 Oak, live, green .... 1.260 Oil, castor 0.970 Oil, linseed 0.940 Oil, olive 0.915 Oil, turpentine .... 0.870 Oil, whale 0.923 Paraffin . . . 0.824 to 0.940 Petroleum . . 0.836 Phosphorus . . Pear-tree . . . Pine, red, dry . . Pine, white, dry . Pine, yellow, dry . . 1,830 . 0.660 . 0.590 . 0.554 . 0.461 Pine, pitch 0.660 Pitch . . . 1.150 Platinum wire .... 21.531 Poplar, common .... 0.389 Porcelain, china .... 2.380 Potassium 0.865 Quartz 2.650 Rock salt 2.257 Saltpeter . . . . . .2.100 Sand, quartz 2.750 Sand, river 1.880 Sand, fine 1.520 Sand, coarse 1.510 Silver, cast . . 10.424 to 10.511 Slate 2.880 Sodium 0.970 Steel, unhammered . . . 7.816 Sugar, cane 1.593 Sulphur, native .... 2.033 Sulphuric acid 1.840 Tallow 0.940 Tar 1.015 Tin, cast 7.290 Tourmaline, green . . . 3.150 Vinegar 1.026 Water, at 100 C. . . . 0.958 Walnut 0.680 Water, sea 1.027 Wax, white 0.970 White metal, Babbitt . . 7.310 Willow . 0.585 Zinc, cast 7.000 266 APPENDIX XIII. TABLE OF SOLUBILITIES* Showing the classes to which the compounds of the commonly occurring elements belong in respect to their solubility in water, hydrochloric acid, nitric acid, or aqua regia. Preliminary JRemarks For the sake of brevity, the classes to which the compounds belong are expressed by letters, as follows : W or w, soluble in water. A or a, insoluble in water, but soluble in hydrochloric acid, nitric acid, or in aqua regia. I or i, insoluble in water, hydrochloric acid, or nitric acid. Further, substances standing on the border lines are in- dicated as follows : W-A or w-a, difficultly soluble in water, but soluble in hydrochloric acid or nitric acid. W-I or w-i, difficultly soluble in water, the solubility not being greatly increased by the addition of acids. A-I or a-i, insoluble in water, difficultly soluble in acids. If the behavior of a compound to hydrochloric and nitric acids is essentially different, this is stated in the notes. Capital letters indicate common substances used in the arts and in medicine, while the small letters are used for those less commonly occurring. The salts are generally con- sidered as normal, but basic and acid salts, as well as double salts, in case they are important in medicine or in the arts, are referred to in the notes. The small numbers in the table refer to notes on the following pages. Notes to Table of Solubilities 1. Potassium dichromate, W. 2. Potassium borotartrate, W. 3. Hydrogen potassium oxalate, W. 4. Hydrogen potassium carbonate, W. * Taken from Wells' translation of the 16th German edition of Fresenius' Qualitative Analysis. APPENDIX 267 SOLUBILITY TABLE Potassium Sodium Ammonium Barium Strontium Calcium Magnesium Aluminium Oxide .... W W W W w W-A A A Chromate . . . W, w w a w-a w-a w Sulphate . . . ^13.15 W "Wt4 20-30 I I W-I W W 13 . M Phosphate . . W W 8 W8-12 a a A u a J2 a Borate .... W 2 * W a a a w-a a Oxalate . . . W 3 W W a a A a a Fluoride . . . W w W w-a w-a A-I a-i w Carbonate . . W 4 W 10 W A A A A Silicate .... W w a a a a a-i Chloride . . . W 37 ^35 W 21 .38 W W W W w Brotnid.6 , Hf\f\if\a W W 1OU1U6 .... Cyanide . . . W W w \v-a w w w Ferrocyanide W w w w-a w w w Ferricyanide . . W w w w w Thiocyanate . . W w W w w w w Sulphide . . . W W W W w W-A 45 a a Nitrate . . . W W W W W w w w Chlorate . . . W w w w W w w w Tartrate . . . W B . 6 . 7. 22 46 W 7 ^6 a a A w-a w Citrate .... W w W a a w-a w w Malate .... W w W w&a w w-a 47 w w Succinate . . . w w w w-a w-a w-a w w-a Benzoate . . . W w w w w w Salicylate . . . w W W w-a w-a w-a w Acetate . . . W W W W w W w W Formate . . . w w w w w w w w Arsenite . . . W w w a a a a Arsenate . . . W W w a a a a a 5. Hydrogen potassium tartrate, W. 6. Ammonium potassium tartrate, W. 7. Sodium potassium tartrate, W. 8. Ammonium sodium phosphate, W. 9. Acid sodium borate, W. 10. Hydrogen sodium carbonate, W. 11. Tricalcium phosphate, A. 12. Ammonium magnesium phosphate, A. 13. Potassium aluminium sulphate, W. 268 APPENDIX SOLUBILITY TABLE Continued Cromium | 55 Manganese 3 i g 1 O Ferrous B E 1 co , Mercurous Oxide A&I A a !7 A A a A a AM A Chromate .... a w w a a w a A-I a Sulphate .... W&I ]5 W W W W w*, W W-A A-I w-a Phosphate . . . a a a a a a A a a a Borate a a a a a a a a a Oxalate .... w-a a w-a a a a 8 a a a Fluoride .... w w-a a w-a w-a w-a w w a Carbonate .... A A A A A a A a Silicate . . a a a a a a a a Chloride .... W&I W W W W W w I W-I A-I Bromide .... w&i w w w w w w i w-i a-i Iodide . . . W w H 2 O . 287 v. s. 19 527 ZnSO 4 -7H 2 O. . . 288 135 22.5 445 Zn(N0 3 ) 2 .OH 2 . 298 V. S. 22 455 ZriCl 2 136 v. s. 48 208 IV BaCl 2 .2H 2 O . . . 244 41 56 179 Ba(C 2 H 3 2 ) 2 H 2 . 273 63 50 200 Sr(N0 3 2 ) 2 . 4 H 2 . 284 40 31 324 Sr(NO 3 ) 2 .... 212 39 41.3 242 SrCl 2 -6H 2 O . . . 266 106 33 304 CaCl 2 111 v. s. 36 278 Ca(N0 3 ) 2 4 H 2 . 236 V. S. 17 590 *620 g. in 1 liter will give strength 1 cc. = 50 mg. Al. 1 450 g. in 1 liter will give strength 1 cc. = 50 mg. Al. j; 192 g. in 1 liter will give strength 1 cc. = 10 mg. of Cr. APPENDIX 277 XV. TABLE EMPLOYED IN THE PREPARATION OF STANDARD STOCK SOLUTIONS Conceded Quantity of CM 3 Substance Formular Weight Solubility of Salt in 100 Pts. of Cold Water Per Cent. Metal Salt to 'be dissolved in 1 Liter to give Strength Ice. = 100 rag. of Metal V MgS0 4 7 H 2 . . 246 77 9.7 ( ) Mg(N0 3 ) 2 6 H 2 . 256.5 200 9.4 1060 MgCl 2 6 H 2 . . . 203.5 365 11.9 837 NaCl . 58 35 40 250 Na 2 HPO 4 -12H 2 O . 358 9.3 13 ( )t NaNOj 85 80 27 371 KC1 75 32 52 192 KHSO 4 136 v. s. 28.5 350 KN0 3 101 31 39 257 NH 4 C1 53 33 34 294 (NH 4 ) 2 S0 4 .... 132 76 27.5 365 NH 4 NO 3 .... 80 200 22.5 445 (NH 4 ) 2 HP0 4 . . . 132 36.5 27.5 365 LiCl 42 80 16.7 600 LiNOg 69 48 10 ( )t * 515 g. in 1 liter will give strength 1 cc. = 50 mg. Mg. t 77 g. in 1 liter will give strength 1 cc. = 10 mg. Na. J 500 g. in 1 liter will give strength 1 cc. = 50 mg. Li. 278 APPENDIX XVI. COMPARISON OF CALCULATED AND OBSERVED DECOMPOSITION VOLTAGES OF VARIOUS AQUEOUS SOLUTIONS Chloride Bromide Iodide Sulphate Nitrate Calculated 1 Calculated 1 Calculated Observed Calculated TS 1 O Calculated 1 o 1.98 Magnesium . . Zinc 3.28 2 11 31 2.11 1.9 1.65 1.63 2.56 1.79 1.58 1.07 1.06 2.01 1.25 1.12 3.91 2.31 1.95 2.35 2.03 3.83 2.23 1.87 Cadmium . . . 2.03 Aluminium . 2.33 2.0 1.74 1.53 1.02 .88 1.10 Iron 1.78 1.6 1.30 .68 2.03 1.95 Cobalt .... 1.66 1.43 1.05 .51 1.91 1.92 1.84 Nickel. . . . Tin 1.62 1.76 1.80 1.33 1.61 1.63 1.40 .85 1.30 1.33 .87 .36 .71 .83 1.89 2.09 1.81 1.48 1.52 Lead .... Copper .... Silver .... 143 1.28 1.32 1.11 1.09 .99 1.02 .95 .71 .60 .64 .65 1.22 .44 1.14 .365 .36* Antimony . . Bismuth . 1.32 1.31 1.22 1.21 .80 .92 .44 .43 Hydrogen . . 1.71 1.31 1.23 .94 .57 .52 1.70 1.67 1.81 1.69 The observed decomposition values of the acids given under hydrogen, together with many of the sulphates and nitrates, are taken from LeBlanc's Electro-Chemistry, pp. 247-248. The other observed values are from Crocker, Trans. Am. Inst. E. E., 1885, p 281. * Experiment. 421 n