HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 180 CHAPTER 14 SOLUTIONS SOLUTIONS TO REVIEW QUESTIONS 1. O H H H H H H H O O Cl– H O H O O H O H H H Na+ H H H O These diagrams are intended to illustrate the orientation of the water molecules about the ions, not the number of water molecules. 2. From Table 14.2, approximately 4.5 g of NaF would be soluble in 100 g of water at 50°C. 3. From Figure 14.4, solubilities in water at 25°C are: (a) KCl 35 g>100 g H2O 9 g>100 g H2O (b) KClO3 39 g>100 g H2O (c) KNO3 4. Potassium fluoride has a relatively high solubility when compared to lithium or sodium fluoride. For lithium and sodium halides, the order of solubility (in order of increasing solubilities) is: F - Cl- Br - I For potassium halides, the order of increasing solubilities is: Cl- Br - F - I KClO3 at 60°C, 25 g HCl at 20°C, 72 g 5. (a) (b) 6. KNO3 (c) (d) - 180 - Li 2SO4 at 80°C, 30 g KNO3 at 0°C, 14 g HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 181 - Chapter 14 - 7. A one molal solution in camphor will show a greater freezing point depression than a 2 molal solution in benzene. ¢t f = a 1 mol solute 40°C kg camphor ba b = 40°C (freezing point depression) kg camphor mol solute 2 mol solute 5.1°C kg benzene ¢tf = a ba b = 10.2°C (freezing point depression) kg benzene mol solute 8. Cube 1 cm 0.01 cm Volume 1 cm3 1 * 10-6 cm3 Number> 1 cm cube 1 Area of face 1 cm2 Total surface area 6 cm2 106 311 cm32>11 * 10-6 cm32 = 106 cubes4 1 * 10-4 cm2 6 * 102 cm2 11 * 106 cubes216 faces>cube211 * 10-4 cm2>face2 = 6 * 102 cm2 9. 63 g NH 4Cl 42 g NH 4Cl From Figure 14.4, the solubility of NH 4Cl in water is = 150 g H 2O 100 g H 2O approximately 42 g>100 g H 2O at 30°C, 46 g>100 g H 2O at 40°C. Therefore, the solution of 63 g>150 g of water would be saturated at 10°C, 20°C, and 30°C. The solution would be unsaturated at 40°C and 50°C. 10. The dissolving process involves solvent molecules attaching to the solute ions or molecules. This rate decreases as more of the solvent molecules are already attached to solute molecules. As the solution becomes more saturated, the number of unused solvent molecules decreases. Also, the rate of recrystallization increases as the concentration of dissolved solute increases. 11. A supersaturated solution of NaC2H 3O2 may be prepared in the following sequence: (a) (b) (c) (d) Determine the mass of NaC2H 3O2 necessary to saturate a specific amount of water at room temperature. Place a bit more NaC2H 3O2 in the water than the amount needed to saturate the solution. Heat the solution until all the solid dissolves. Cover the container and allow it to cool undisturbed. The cooled solution, which should contain no solid NaC2H 3O2 , is supersaturated. To test for supersaturation, add one small crystal of NaC2H 3O2 to the solution. Immediate crystallization is an indication that the solution was supersaturated. - 181 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 182 - Chapter 14 - 12. Because the concentration of water is greater in the thistle tube, the water will flow through the membrane from the thistle tube to the urea solution in the beaker. The solution level in the thistle tube will fall. 13. A true solution is one in which the size of the particles of solute are between 0.1 - 1nm. True solutions are homogeneous and the ratio of solute to solvent can be varied. They can be colored or colorless but are transparent. The solute remains distributed evenly in the solution, it will not settle out. 14. The two components of a solution are the solute and the solvent. The solute is dissolved into the solvent or is the least abundant component. The solvent is the dissolving agent or the most abundant component. 15. It is not always apparent which component in a solution is the solute. For example, in a solution composed of equal volumes of two liquids, the designation of solute and solvent would be simply a matter of preference on the part of the person making the designation. 16. The ions or molecules of a dissolved solute do not settle out because the individual particles are so small that the force of molecular collisions is large compared to the force of gravity. 17. Yes. It is possible to have one solid dissolved in another solid. Metal alloys are of this type. Atoms of one metal are dissolved among atoms of another metal. 18. Orange. The three reference solutions are KCl, KMnO4 , and K 2Cr2O7 . They all contain K + ions in solution. The different colors must result from the different anions dissolved in the solutions: MnO4 - (purple) and Cr2 O7 2- (orange). Therefore, it is predictable that the Cr2O7 2- ion present in an aqueous solution of Na 2Cr2O7 will impart an orange color to the solution. 19. Hexane and benzene are both nonpolar molecules. There are no strong intermolecular forces between molecules of either substance or with each other, so they are miscible. Sodium chloride consists of ions strongly attracted to each other by electrical attractions. The hexane molecules, being nonpolar, have no strong forces to pull the ions apart, so sodium chloride is insoluble in hexane. 20. Coca Cola has two main characteristics, taste and fizz (carbonation). The carbonation is due to a dissolved gas, carbon dioxide. Since dissolved gases become less soluble as temperature increases, warm Coca Cola would be flat, with little to no carbonation. It is, therefore, unappealing to most people. 21. Air is considered to be a solution because it is a homogeneous mixture of several gaseous substances and does not have a fixed composition. - 182 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 183 - Chapter 14 - 22. A teaspoon of sugar would definitely dissolve more rapidly in 200 mL of hot coffee than in 200 mL of iced tea. The much greater thermal agitation of the hot coffee will help break the sugar molecules away from the undissolved solid and disperse them throughout the solution. Other solutes in coffee and tea would have no significant effect. The temperature difference is the critical factor. 23. The solubility of gases in liquids is greatly affected by the pressure of a gas above the liquid. The greater the pressure, the more soluble the gas. There is very little effect of pressure regarding the dissolution of solids in liquids. 24. For a given mass of solute, the smaller the particles, the faster the dissolution of the solute. This is due to the smaller particles having a greater surface area exposed to the dissolving action of the solvent. 25. In a saturated solution, the net rate of dissolution is zero. There is no further increase in the amount of dissolved solute, even though undissolved solute is continuously dissolving, because dissolved solute is continuously coming out of solution, crystallizing at a rate equal to the rate of dissolving. 26. When crystals of AgNO3 and NaCl are mixed, the contact between the individual ions is not intimate enough for the double displacement reaction to occur. When solutions of the two chemicals are mixed, the ions are free to move and come into intimate contact with each other, allowing the reaction to occur easily. The AgCl formed is insoluble. 27. A nonvolatile solute (such as salt) lowers the freezing point of water. Adding salt to icy roads in winter melts the ice because the salt lowers the freezing point of water. 28. A 16 molar solution of nitric acid is a solution that contains 16 moles HNO3 per liter of solution. 29. The two solutions contain the same number of chloride ions. One liter of 1 M NaCl contains 1 mole of NaCl, therefore 1 mole of chloride ions. 0.5 liter of 1 M MgCl 2 contains 0.5 mol of MgCl 2 and 1 mole of chloride ions. 10.5 L2 ¢ 30. 1 mol MgCl 2 2 mol Cl≤¢ ≤ = 1 mol ClL 1 mol MgCl 2 The champagne would spray out of the bottle all over the place. The rise in temperature and the increase in kinetic energy of the molecules by shaking both act to decrease the solubility of gas within the liquid. The pressure inside the bottle would be great. As the cork is popped, much of the gas would escape from the liquid very rapidly, causing the champagne to spray. - 183 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 184 - Chapter 14 - 31. The number of grams of NaCl in 750 mL of 5.0 molar solution is 10.75 L2a 5.0 mol NaCl 58.44 g ba b = 2.2 * 102 g NaCl L 1 mol Dissolve the 220 g of NaCl in a minimum amount of water, then dilute the resulting solution to a final volume of 750 mL (0.75 L). 32. A semipermeable membrane will allow water molecules to pass through in both directions. If it has pure water on one side and 10% sugar solutions on the other side of the membrane, there is a higher concentration of water molecules on the pure water side. Therefore, there are more water molecule impacts per second on the pure water side of the membrane. The net result is more water molecules pass from the pure water to the sugar solution. Osmotic pressure effect. 33. The urea solution will have the greater osmotic pressure because it has 1.67 mol solute> kg H 2O, while the glucose solution has only 0.83 mol solute> kg H 2O. 34. A lettuce leaf immersed in salad dressing containing salt and vinegar will become limp and wilted as a result of osmosis. As the water inside the leaf flows into the dressing where the solute concentration is higher the leaf becomes limp from fluid loss. In water, osmosis proceeds in the opposite direction flowing into the lettuce leaf maintaining a high fluid content and crisp leaf. 35. The concentration of solutes (such as salts) is higher in seawater than in body fluids. The survivors who drank seawater suffered further dehydration from the transfer of water by osmosis from body tissues to the intestinal tract. 36. Ranking of the specified bases in descending order of the volume of each required to react with 1 liter of 1 M HCl. The volume of each required to yield 1 mole of OH - ion is shown. (a) 1 M NaOH 1 liter (b) 0.6 M Ba(OH)2 0.83 liter (c) 2 M KOH 0.50 liter (d) 1.5 M Ca(OH)2 0.33 liter 37. The boiling point of a liquid or solution is the temperature at which the vapor pressure of the liquid equals the pressure of the atmosphere. Since a solution containing a nonvolatile solute has a lower vapor pressure than the pure solvent, the boiling point of the solution must be at a higher temperature than for the pure solvent. At the higher boiling temperature the vapor pressure of the solution equals the atmospheric pressure. - 184 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 185 - Chapter 14 - 38. The freezing point is the temperature at which a liquid changes to a solid. The vapor pressure of a solution is lower than that of a pure solvent. Therefore, the vapor pressure curve of the solution intersects the vapor pressure curve of the pure solvent, at a temperature lower than the freezing point of the pure solvent. (See Figure 14.8b) At this point of intersection, the vapor pressure of the solution equals the vapor pressure of the pure solvent. 39. Water and ice are different phases of the same substance in equilibrium at the freezing point of water, 0°C. The presence of the methanol lowers the vapor pressure and hence the freezing point of water. If the ratio of alcohol to water is high, the freezing point can be lowered as much as 10°C or more. 40. Effectiveness in lowering the freezing point of 500. g water: (a) (b) (c) 100. g (2.17 mol) of ethyl alcohol is more effective than 100. g (0.292 mol) of sucrose. 20.0 g (0.435 mol) of ethyl alcohol is more effective than 100. g (0.292 mol) of sucrose. 20.0 g (0.625 mol) of methyl alcohol is more effective than 20.0 g (0.435 mol) of ethyl alcohol. 41. Both molarity and molality describe the concentration of a solution. However, molarity is the ratio of moles of solute per liter of solution, and molality is the ratio of moles of solute per kilogram of solvent. 42. 5 molal NaCl = 5 mol NaCl>kg H 2O; 5 molar NaCl = 5 mol NaCl>L of solution. The volume of the 5 molal solution will be larger than 1 liter (1 L H 2O + 5 mol NaCl). The volume of the 5 molar solution is exactly 1 L (5 mol NaCl + sufficient H 2O to produce 1 L of solution). The molarity of a 5 molal solution is therefore, less than 5 molar. - 185 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 186 CHAPTER 14 SOLUTIONS TO EXERCISES 1. Reasonably soluble: (a) KOH (b) NiCl 2 Insoluble: (c) ZnS 2. Reasonably soluble: (c) CaCl 2 (d) Fe(NO3)3 Insoluble: (a) PbI 2 (b) MgCO3 (e) BaSO4 3. Mass percent calculations (a) 15.0 g KCl + 100.0 g H2O = 115.0 g solution a (b) 15.0 g b11002 = 13.0% KCl 115.0 g 2.50 g Na3PO4 + 10.0 g H2O = 12.5 g solution ¢ (c) (d) AgC2H 3O2 2.50 g ≤ 11002 = 20.0% Na3PO4 12.5 g (0.20 mol NH4C2H3O2)a 77.09 g b = 15 g NH4C2H3O2 1 mol 15 g NH4C2H3O2 + 125 g H2O = 140. g solution ¢ (d) 15 g ≤ 11002 = 11% NH4C2H3O2 140. g (1.50 mol NaOH)a 40.00 g b = 60.0 g NaOH 1 mol 18.02 g b = 595 g H2O 1 mol 60.0 g NaOH + 595 g H2O = 655 g solution (33.0 mol H2O)a ¢ 4. 60.0 g ≤ 11002 = 9.16% NaOH 655 g Mass percent calculations (a) 25.0 g NaNO3 in 125.0 g H2O = 150.0 a 25.0 g b11002 = 16.7% NaNO3 150.0 g - 186 - (e) Na 2CrO4 HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 187 - Chapter 14 - (b) 1.25 g CaCl2 in 35.0 g H2O = 36.3 g solution ¢ (c) 1.25 g ≤ 11002 = 3.44% CaCl2 36.3 g (0.75 mol K2CrO4)a 194.2 g b = 150 g K2CrO4 1 mol 150 g K2CrO4 + 225 g H2O = 380 g solution a (d) 150 g b11002 = 39% K2CrO4 380 g (1.20 mol H2SO4)a (72.5 mol H2O)a 98.09 g b = 118 g H2SO4 1 mol 18.02 g b = 1.31 * 103 g H2O 1 mol 118 g H2SO4 + 1.31 * 103 g H2O = 1.43 * 103 g solution a 5. 118 g 1.43 * 103 g A 15.5% solution contains 15.5 g AgNO3 per 100. g solution (25.2 g AgNO3)a 6. 100. g solution b = 163 g solution 15.5 g AgNO3 A 10.0% NaCl solution contains 10.0 g NaCl per 100. g solution (25.0 g NaCl) ¢ 7. b 11002 = 8.25% H2SO4 100. g solution ≤ = 250. g solution 10.0 g NaCl (a) (25 g solution) a 7.5 g CaSO4 b = 1.9 g CaSO4 100. g solution (b) (25 g solution)a 100. g solution - 7.5 g CaSO4 b = 23 g solvent 100. g solution - 187 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 188 - Chapter 14 - 8. 9. (a) (75 g solution) a 12.0 g BaCl2 b = 9.0 g BaCl2 100. g solution (b) (75 g solution) a 100. g solution - 12.0 g BaCl2 b = 66 g solvent 100. g solution Mass/volume percent. ¢ 10. Mass/volume percent. a 11. 10.0 mL CH 3OH ≤ 11002 = 25.0% CH 3OH 40.0 mL solution Volume percent. ¢ 13. 4.20 g NaCl b11002 = 33.6% NaCl 12.5 mL solution Volume percent. ¢ 12. 22.0 g CH 3OH ≤ 11002 = 22.0% CH 3OH 100. mL solution 2.0 mL C6H 14 ≤ 11002 = 22% C6H 14 9.0 mL solution Molarity problems aM = mol b L (a) a 0.25 mol 1000 mL ba b = 3.3 M 75.0 mL 1L (b) a 1.75 mol b = 2.3 M KBr 0.75 L (c) ¢ 35.0 g 1 mol b = 0.341 M NaC2H3O2 ≤a 1.25 L 82.03 g (d) ¢ 75 g CuSO4• 5 H2O 1 mol b = 0.30 M CuSO4 ≤a 1.0 L 249.7 g - 188 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 189 - Chapter 14 - 14. 15. Molarity problems aM = (a) a 0.50 mol 1000 mL ba b = 4.0 M 125 mL 1L (b) a 2.25 mol b = 1.50 M CaCl2 1.50 L (c) ¢ 275 g 1 mol 1000 mL ba b = 1.97 M C6H12O6 ≤a 775 mL 180.2 g 1L (d) ¢ 125 g MgSO4• 7 H2O 1 mol b = 0.203 M MgSO4 ≤a 2.50 L 246.5 g (b) (c) mol solute or mol solute = 1L solution21Molarity2 L solution 1.50 mol HNO3 10.75 L2a b = 1.1 mol HNO3 L 0.75 mol NaClO3 1L 110.0 mL2a ba b = 7.5 * 10 - 3 mol NaClO3 1000 mL L 1L 0.50 mol LiBr 1175 mL2a ba b = 0.088 mol LiBr 1000 mL L Molarity = (a) (b) (c) 17. mol solute or mol solute = 1L solution21Molarity2 L solution 1.20 mol H2SO4 11.5 L2a b = 1.8 mol H2SO4 L 0.0015 mol BaCl2 1L 125.0 mL2a ba b = 3.8 * 10 - 5 mol BaCl2 1000 mL L 0.35 mol K3PO4 1L 1125 mL2a ba b = 0.044 mol K3PO4 1000 mL L Molarity = (a) 16. mol b L (a) 12.5 L2a 0.75 mol K2CrO4 194.2 g ba b = 360 g K2CrO4 L 1 mol (b) 175.2 mL2a (c) 1250 mL2a 0.050 mol HC2H3O2 60.05 g 1L ba ba b = 0.226 g HC2H3O2 1000 mL L 1 mol 16 mol HNO3 63.02 g 1L ba ba b = 250 g HNO3 1000 mL L 1 mol - 189 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 190 - Chapter 14 - 18. 19. 20. 21. (a) 11.20 L2a (b) 127.5 mL2 ¢ (c) 1120 mL2 ¢ (a) 10.15 mol H3PO42a (b) 135.5 g H3PO42a (a) 10.85 mol NH4Cl2a (b) 125.2 g) NH4Cla 18 mol H2SO4 98.09 g ba b = 2.1 * 103 g H2SO4 L 1 mol 1.5 mol KMnO4 158.0 g 1L ba b = 6.52 g KMnO4 ≤a 1000 mL L 1 mol 0.025 mol Fe2(SO4)3 399.9 g 1L ba b = 1.2 g Fe2(SO4)3 ≤a 1000 mL L 1 mol 1000 mL 1L ba b = 2.0 * 102 mL 0.750 mol H3PO4 1L 1 mol 1L 1000 mL ba ba b = 483 mL 97.99 g 0.750 mol H3PO4 1L 1000 mL 1L ba b = 3.4 * 103 mL 0.250 mol NH4Cl 1L 1 mol 1L 1000 mL ba ba b = 1.88 * 103 mL 53.49 g 0.250 mol NH4Cl L Dilution problem V1M 1 = V2M 2 (a) V1 = 125 mL V2 = (125 mL + 775 mL) = 900. mL M1 = 5.0 M M2 = M2 1125 mL215.0 M2 = 1900. mL21M22 M2 = (b) 1125 mL215.0 M2 = 0.694 M 900. mL V1 = 250 mL V2 = (250 mL + 750 mL) = 1.00 * 103 mL M1 = 0.25 M M2 = M2 1250 mL210.25 M2 = 11.00 * 103 mL21M22 1250 mL210.25 M2 = 0.063 M M2 = 1.00 * 103 mL (c) First calculate the moles of HNO3 in each solution. Then calculate the molarity. 1L 0.50 mol (75 mL)a ba b = 0.038 mol HNO3 1000 mL 1L 1L 1.5 mol (75 mL)a ba b = 0.11 mol HNO3 1000 mL 1L Total mol = 0.15 mol - 190 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 191 - Chapter 14 - Total volume = 75 mL + 75 mL = 150. mL = 0.150 L 0.150 mol = 1.00 M 0.150 L 22. Dilution problem V1M 1 = V2M 2 (a) V1 = 175 mL V2 = (175 mL + 275 mL) = 450. mL M1 = 3.0 M M2 = M2 1175 mL213.0 M2 = 1450. mL21M22 M2 = (b) 1175 mL213.0 M2 = 1.2 M 450. mL V1 = 350 mL M1 = 0.10 M V2 = (350 mL + 150 mL) = 5.0 * 102 mL M2 = M2 1350 mL210.10 M2 = 15.0 * 102 mL21M22 M2 = (c) 1350 mL210.10 M2 5.0 * 102 mL = 0.070 M First calculate the moles of HCl in each solution. Then calculate the molarity. 1L 0.250 mol ba b = 0.0125 mol HCl 1000 mL 1L 1L 0.500 mol (25.0 mL)a ba b = 0.0125 mol HCl 1000 mL 1L Total mol = 0.0250 mol Total volume = 50.0 mL + 25.0 mL = 75.0 mL = 0.0750 L 0.250 mol = 0.333 M 0.0750 L (50.0 mL)a 23. V1M 1 = V2M 2 (a) (b) 1V12115 M2 = 1750 mL213.0 M2 1750 mL213.0 M2 V1 = = 150 mL 15 M H3PO4 15 M 1V12116 M2 = 1250 mL210.50 M2 V1 = 1250 mL210.50 M2 = 7.8 mL 16 M HNO3 16 M - 191 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 192 - Chapter 14 - 24. V1M 1 = V2M 2 (a) (b) 25. 1V12118 M2 = 1225 mL212.0 M2 1225 mL212.0 M2 V1 = = 25 mL 18 M H2SO4 18 M 1V12115 M2 = 175 mL211.0 M2 175 mL211.0 M2 V1 = = 5.0 mL 15 M NH3 15 M 10.125 L2a (a) 6.0 mol HC2H3O2 b = 0.75 mol HC2H3O2 L Final volume after mixing 125 mL + 525 mL = 650. mL = 0.650 L 0.75 mol HC2H3O2 = 1.2 M HC2H3O2 0.650 L (b) 1175 mL2a 1.5 mol HC2H3O2 1L b¢ ≤ = 0.26 mol HC2H3O2 1000 mL L Total moles = 0.75 mol + 0.26 mol = 1.01 mol HC2H3O2 Final volume = 125 mL + 175 mL = 300. mL = 0.300 L 1.01 mol HC2H3O2 = 3.37 M HC2H3O2 0.300 L 26. 10.175 L2a (a) (b) 3.0 mol HCl b = 0.53 mol HCl L Final volume after mixing 175 mL + 250 mL = 425 mL = 0.425 L 0.53 mol HCl = 1.2 M HCl 0.425 L 1115 mL2a 6.0 mol HCl 1L b¢ ≤ = 0.69 mol HCl 1000 mL L Total moles = 0.53 mol + 0.69 mol = 1.22 mol HCll Final volume = 175 mL + 115 mL = 290. mL = 0.290 L 1.22 mol HCl = 4.21 M HCl 0.290 L - 192 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 193 - Chapter 14 - 27. 3 Ca(NO3)2(aq) + 2 Na3PO4(aq) ¡ Ca3(PO4)2(s) + 6 NaNO3(aq), (a) 12.7 mol Na3PO42 ¢ (b) 10.75 mol Ca(NO3)22 ¢ (c) L Ca(NO3)2 ¡ mol Ca(NO3)2 ¡ mol Na3PO4 1 mol Ca3 (PO4)2 ≤ = 1.4 mol Ca3(PO4)2 2 mol Na3PO4 11.45 L Ca(NO3)22 ¢ (d) 2 mol Na3PO4 0.225 mol b = 0.218 mol Na3PO4 ≤a L 3 mol Ca(NO3)2 mL Ca(NO3)2 ¡ mol Ca(NO3)2 ¡ mol Ca3(PO4)2 ¡ g Ca3(PO4)2 1125 mL Ca(NO3)22 ¢ (e) 0.500 mol 1 mol Ca3(PO4)2 310.18 g ba b = 6.46 g Ca3(PO4)2 ≤a 1000 mL 3 mol Ca(NO3)2 mol mL Ca(NO3)2 ¡ mol Ca(NO3)2 ¡ mol Na3PO4 ¡ mL Na3PO4 115.0 mL Ca(NO3)22 ¢ (f) 2 mol Na3PO4 0.50 mol 1000 mL ba b = 20. mL Na3PO4 ≤a 1000 mL 3 mol Ca(NO3)2 0.25 mol Find mol Ca(NO3)2 mL Na3PO4 ¡ mol Na3PO4 ¡ mol Ca(NO3)2 150.0 mL Na3PO4) ¢ M = 28. 6 mol NaNO3 ≤ = 1.5 mol NaNO3 3 mol Ca(NO3)2 mol L 3 mol Ca(NO3)2 2.0 mol b = 0.15 mol Ca(NO3)2 ≤a 1000 mL 2 mol Na3PO4 M = a 0.15 mol Ca(NO3)2 b = 3.0 M Ca(NO3)2 0.0500 L 2 NaOH(aq) + H2SO4(aq) ¡ Na2SO4(aq) + 2 H2O(l), (a) 13.6 mol H2SO42 ¢ (b) 10.025 mol NaOH2 ¢ (c) L H2SO4 ¡ mol H2SO4 ¡ mol NaOH 12.50 L H2SO42 ¢ 1 mol Na2SO4 ≤ = 3.6 mol Na2SO4 1 mol H2SO4 2 mol H2O ≤ = 0.025 mol H2O 2 mol NaOH 0.125 mol 2 mol NaOH b = 0.625 mol NaOH ≤a 1L 1 mol H2SO4 - 193 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 194 - Chapter 14 - (d) mL NaOH ¡ mol NaOH ¡ mol Na2SO4 ¡ g Na2SO4 125 mL NaOH2 ¢ (e) 0.050 mol 1 mol Na2SO4 142.05 g ba b = 0.089 g Na2SO4 ≤a 1000 mL 2 mol NaOH mol mL NaOH ¡ mol NaOH ¡ mol H2SO4 ¡ mL H2SO4 125.5 mL NaOH2 ¢ (f) Find mol NaOH 0.750 mol 1 mol H2SO4 1000 mL ba b = 38.25 mL H2SO4 ≤a 1000 mL 2 mol NaOH 0.250 mol mL H2SO4 ¡ mol H2SO4 ¡ mol NaOH 135.72 mL H2SO4) ¢ M = 29. mol L 0.125 mol 2 mol NaOH b = 8.93 * 10 - 3 mol NaOH ≤a 1000 mL 1 mol H2SO4 M = a 8.93 * 10 - 3 mol NaOH b = 0.185 M NaOH 0.04820 L 2 KMnO4(aq) + 16 HCl(aq) ¡ 2 MnCl2(aq) + 5 Cl2(g) + 8 H2O(l) + 2 KCl(aq) (a) 115.0 mL HCl2 ¢ (b) 11.85 mol MnCl22a (c) 1125 mL KCl2 ¢ (d) (15.60 mL KMnO4)a M = a (e) 2 mol KMnO4 1L ba b = 12.3 L KMnO4 2 mol MnCl2 0.150 mol KMnO4 0.525 mol 16 mol HCl 1000 mL ba b = 210. mL HCl ≤a 1000 mL 2 mol KCl 2.50 mol 0.250 mol 16 mol HCl b = 0.0312 mol HCl ba 1000 mL 2 mol KMnO4 0.0312 mol HCl b = 1.41 M HCl 0.02220 L mL HCl ¡ mol HCl ¡ mol Cl2 ¡ L Cl2 (gas at STP) 1125 mL HCl2 ¢ (f) 8 mol H2O 0.250 mol b = 1.88 * 10 - 3 mol H2O ≤a 1000 mL 16 mol HCl 5 mol Cl2 2.5 mol 22.4 L ba b = 2.2 L Cl2 ≤a 1000 mL 16 mol HCl mol Limiting reactant problem. Convert volume of both reactants to liters of Cl2 gas. 115.0 mL HCl) a 5 mol Cl2 22.4 L 0.750 mol ba ba b = 0.0788 L Cl2 1000 mL 16 mol HCl mol - 194 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 195 - Chapter 14 - 112.0 mL KMnO4)a 5 mol Cl2 0.550 mol 22.4 L ba ba b = 0.373 L Cl2 1000 mL 2 mol KMnO4 mol HCl is the limiting reactant. 0.0788 L of Cl2 are produced. 30. K2CO3(aq) + 2 HC2H3O2(aq) ¡ 2 KC2H3O2(aq) + H2O(l) + CO2(g) (a) 125.0 mL HC2H3O22 ¢ 1 mol H2O 0.150 mol b = 1.88 * 10 - 3 mol H2O ≤a 1000 mL 2 mol HC2H3O2 (b) 117.5 mol KC2H3O22a (c) 175.2 mL K2CO32 ¢ 1 mol K2CO3 1L ba b = 41.7 L K2CO3 2 mol KC2H3O2 0.210 mol K2CO3 0.750 mol 2 mol HC2H3O2 1000 mL ba b ≤a 1000 mL 1 mol K2CO3 1.25 mol HC2H3O2 = 90.2 mL HC2H3O2 (d) (18.50 mL K2CO3)a M = a (e) 0.250 mol 2 mol HC2H3O2 b = 9.25 * 10 - 3 mol HC2H3O2 ba 1000 mL 1 mol K2CO3 9.25 * 10 - 3 mol HC2H3O2 b = 0.911 M HC2H3O2 0.01015 L mL HCl ¡ mol HCl ¡ mol Cl2 ¡ L Cl2 (gas at STP) 1105 mL of HC2H3O22 ¢ (f) 1 mol CO2 1.5 mol 22.4 L ba b = 1.8 L CO2 ≤a 1000 mL 2 mol HC2H3O2 mol Limiting reactant problem. Convert volume of both reactant to liters of CO2 gas. 1 mol CO2 0.350 mol 22.4 L 125.0 mL K2CO3)a ba ba b = 0.196 L CO2 1000 mL 1 mol K2CO3 mol 125.0 mL HC2H3O2)a 1 mol CO2 0.250 mol 22.4 L ba ba b = 0.0700 L CO2 1000 mL 2 mol HC2H3O2 mol HC2H3O2 is the limiting reactant. 0.0700 L of CO2 are produced. 31. Molality = m = mol solute kg solvent (a) ¢ 14.0 g CH 3OH 1000 g 4.37 mol CH 3OH 1 mol ba b = ¢ ≤a ≤ = 4.37 m CH 3OH 100. g H 2O kg 32.04 g kg H 2O (b) ¢ 2.50 mol C6H 6 1000 g 10. mol C6H 6 b = ¢ ≤a ≤ = 10. m C6H 6 250 g C6H 14 kg kg C6H 14 - 195 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 196 - Chapter 14 - 32. 33. Molality = m = mol solute kg solvent (a) ¢ 1.0 g C6H 12O6 1000 g 5.5 mol C6H 12O6 1 mol ba b = ¢ ≤a ≤ = 5.5 m C6H 12O6 1.0 g H 2O kg 180.2 g kg H 2O (b) ¢ 0.250 g I2 1 mol I2 b = 9.9 * 10 - 4 m I2 ≤a 1.0 kg H2O 253.8 g I2 (a) ¢ 2.68 g C10H 8 1000 g C6H 6 1 mol ≤¢ ≤¢ ≤ = 0.544 m 38.4 g C6H 6 128.2 g C10H 8 kg (b) K f (for benzene) = 5.1°C m ¢t f = 10.544 m2a Freezing point of benzene = 5.5°C 5.1°C b = 2.8°C m Freezing point of solution = 5.5°C - 2.8°C = 2.7°C (c) K b (for benzene) = ¢t b = (0.544 m)a 2.53°C m Boiling point of benzene = 80.1°C 2.53°C b = 1.38°C m Boiling point of solution = 80.1°C + 1.38°C = 81.5°C 34. 100.0 g C2H 6O2 1000 g 1 mol ba b = 10.74 m ≤a 150.0 g H 2O 62.07 g kg (a) ¢ (b) ¢t b = mK b = (10.74 m)a 0.512°C b = 5.50°C (Increase in boiling point) m Boiling point = 100.00°C + 5.50°C = 105.50°C (c) ¢t f = mK f = 110.74 m2a 1.86°C b = 20.0°C (Decrease in freezing point) m Freezing point = 0.00°C - 20.0°C = -20.0°C - 196 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 197 - Chapter 14 - 35. Freezing point of acetic acid is 16.6°C K f acetic acid = 3.90°C m ¢t f = 16.6°C - 13.2°C = 3.4°C ¢t f = mK f m = 3.4°C = 0.87 m 3.90°C>m Convert 8.00 g unknown> 60.0 g HC2H 3O2 to g> mol (molar mass) Conversion: ¢ 36. g unknown g g unknown ¡ ¡ g HC2H 3O2 kg HC2H 3O2 mol 8.00 g unknown 1 kg HC2H 3O2 1000 g b¢ ≤a ≤ = 153 g>mol 60.0 g HC2H 3O2 kg 0.87 mol unknown ¢t f = 2.50°C K f (for H 2O) = 1.86°C m ¢t f = mK f 2.50°C m = = 1.34 m 1.86°C>m Convert 4.80 g unknown> 22.0 g H 2O to g> mol (molar mass) ¢ 4.80 g unknown 1000 g 1 kg H 2O b¢ ≤a ≤ = 163 g>mol 22.0 g H 2O kg 1.34 mol unknown 37. Salt (NaCl) is an ionic compound. When it is dissolved in water the sodium and chloride ions separate or dissociate. The polar water molecules are attracted to the polar sodium and chloride ions and are hydrated (surrounded by water molecules). The sodium and chloride ions are separated from one another and distributed throughout the water in this way. Na+ and Cl- are hydrated in aqueous solution: See Question 1. 38. Sugar molecules are not ionic; therefore they do not dissociate when dissolved in water. However, sugar molecules are polar, so water molecules are attracted to them and the sugar becomes hydrated. The water molecules help separate the sugar molecules from each other and distribute them throughout the water. 39. Sugar and salt behave differently when dissolved in water because salt is an ionic compound and sugar is a molecular compound. - 197 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 198 - Chapter 14 - 40. An isotonic sodium chloride solution has the same osmotic pressure as human blood plasma. When blood cells are placed in an isotonic solution the osmotic pressure inside the cells is equal to the osmotic pressure outside the cells so there is no change in the appearance of the blood cells. 41. The KMnO4 crystals give the solution its purple color. The purple streaks are formed because the solute has not been evenly distributed throughout that solvent yet. The MnO4 - has a purple color in solution. 42. The line for KNO3 slopes upward, because the solubility increases as the temperature increases. KNO3 has the steepest slope of all the compounds given in the diagram. It exhibits the greatest increase in the number of grams of solute that is able to dissolve in 100 g of water than any other compound in the diagram as the temperature increases. 43. First calculate the g NaOH to neutralize the HCl. NaOH + HCl ¡ NaCl + H 2O 1.0 mol 1 mol NaOH 40.00 g ba ba b = 6.0 g NaOH required to neutralize 10.15 L HCl2a L 1 mol HCl mol the acid Now calculate the grams of 10% NaOH solution that contains 6.0 g NaOH 6.0 g NaOH 10.0 g NaOH = x 100.0 g 10.0% NaOH solution x = 60. g 10% NaOH solution 44. 1.0 m HCl = 36.46 g HCl 1 mol HCl = 1 kg H 2O 1000 g H 2O Total mass of solution = 1000 g + 36.46 g = 1036.46 g Therefore, 1.0 m HCl = 1 mol HCl 1036.46 g HCl solution NaOH + HCl ¡ NaCl + H 2O Calculate the grams NaOH to neutralize HCl 1250.0 g solution2a 1 mol NaOH 40.00 g 1 mol HCl ba ba b = 9.648 g NaOH 1036.46 solution 1 mol HCl mol Calculate the grams of 10.0% NaOH solution that contains 9.648 g NaOH. 10.0 g NaOH 9.648 g NaOH = x 100.0 g 10.0% NaOH solution x = 96.5 g 10% NaOH solution - 198 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 199 - Chapter 14 - 45. (a) 11.0 L syrup2a (b) ¢ (c) m = ¢ 46. Kf = ¢ 15.0 g sugar 1000 mL 1.06 g ba ba b = 1.6 * 102 g sugar L mL 100. g syrup 1.6 * 102 g C12H 22O11 1 mol b = 0.47 M ≤a L 342.3 g mol sugar kg H 2O 15% sugar by mass = 15.0 g C12H 22O11 + 85.0 g H 2O 15.0 g C12H 22O11 1000 g H 2O 1 mol ≤¢ ≤¢ ≤ = 0.516 m 85.0 g H 2O 1 kg H 2O 342.3 g C12H 22O11 5.1°C m ¢t f = 0.614°C 3.84 g C4H 2N 1000 g 15.4 g C4H 2N b = ≤a 250.0 g C6H 6 kg kg C6H 6 ¢t f = mK f m = ¢ 0.12 mol C4H 2N 0.614°C = 0.12 m = 5.1°C>m kg C6H 6 15.4 g C4H 2N 1 kg C6H 6 ≤¢ ≤ = 128 g>mol = 1.3 * 102 g>mol kg C6H 6 0.12 mol C4H 2N Empirical mass (C4H 2N) = 64.07 g 130 g = 2.0 (number of empirical formulas per molecular formula) 64.07 g Therefore, the molecular formula is twice the empirical formula, or C8H 4N2 . 47. 112.0 mol HCl2a 11.00 L2a 36.46 g b = 438 g HCl in 1.00 L solution mol 1.18 g solution 1000 mL ba b = 1180 g solution mL L 1180 g solution - 438 g HCl = 742 g H 2O (0.742 kg H 2O) Since molality = 48. mol HCl 12.0 mol HCl = = 16.2 m HCl kg H 2O 0.742 kg H 2O First calculate the g KNO3 in the solution. The conversion is: mg K + g K+ g KNO3 ¡ ¡ ¡ g KNO3 mL mL mL - 199 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 200 - Chapter 14 - ¢ 5.5 mg K + 101.1 g KNO3 1g b¢ ≤a ≤ 1450 mL2 = 6.4 g KNO3 mL 1000 mg 39.10 g K + Now calculate the mol KNO3 and the molarity. 16.4 g KNO32a 1 mol b = 0.063 mol KNO3 101.1 g 0.063 mol KNO3 = 0.14 M 0.450 L 49. 125.0 g KCl2a 100. g solution b = 455 g solution 5.50 g KCl Alternate solution: a 25.0 g KCl 5.50 g KCl b b = a x 100. g solution x = 455 g solution 50. Verification of K b for water ¢t b = mK b ¢t b = 101.62°C - 100°C = 1.62°C Kb = ¢t b m First calculate the molality of the solution. 16.10 g C2H 6O2 3.16 mol C2H 6O2 = 162.07 g>mol210.0820 kg H 2O2 kg H 2O m = 0.513°C kg H 2O ¢t b 1.62°C = = m 3.16 mol>kg H 2O mol Kb = 51. (a) 1500.0 mL solution2a (b) a 0.90 g NaCl b = 4.5 g NaCl 100. mL solution 4.5 g NaCl b11002 = 9.0% x mL x = x = volume of 9.0% solution 4.5 g NaCl = 50. mL (4.5 g NaCl in solution) 9.0% 500. mL - 50. mL = 450. mL H 2O must evaporate - 200 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 201 - Chapter 14 - 52. From Figure 14.4, the solubility of KNO3 in H 2O at 20°C is 32 g per 100. g H 2O. 150.0 g KNO32a 100. g H 2O b = 156 g H 2O to produce a saturated solution. 32.0 g KNO3 175 g H 2O - 156 g H 2O = 19 g H 2O must be evaporated. 53. 1150 mL alcohol2a 54. (a) 11.00 L solution2a (b) 1500. g HNO32 ¢ 55. 35.0 g HNO3 1000 mL solution 1.21 g ba b¢ ≤ = 424 g HNO3 L solution mL 100. g solution 1000 mL solution 1.00 L b = 1.18 L solution ≤a 424 g HNO3 1000 mL Assume 1.000 L (1000. mL) of solution a 56. 100. mL solution b = 210 mL solution 70.0 mL alcohol 35.0 g HNO3 1000. mL 1.21 g solution 1 mol ba b¢ b = 6.72 M HNO3 ≤a L mL 100. g solution 63.02 g First calculate the molarity of the solution ¢ 80.0 g H 2SO4 1000 mL 1 mol ba b = 1.63 M H 2SO4 ≤a 500. mL L 98.09 g M 1V1 = M 2V2 11.63 M21500. mL2 = 10.10 M21V22 V2 = 57. M 1V1 = M 2V2 116 M2110.0 mL2 = 1M 221500. mL2 M2 = 58. 11.63 M21500. mL2 = 8.2 * 103 mL = 8.2 L 0.10 M 116 M2110.0 mL2 = 0.32 M HNO3 500.0 M Mg + 2 HCl ¡ MgCl 2 + H 2(g) (a) mL HCl ¡ mol HCl ¡ mol H 2 1200.0 mL HCl2a 1 mol H 2 3.00 mol b¢ ≤ = 0.300 mol H 2 1000 mL 2 mol HCI - 201 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 202 - Chapter 14 - (b) PV = nRT P = 1720 torr2a 1 atm b = 0.95 atm 760 torr T = 27°C = 300. K n = 0.300 mol V = 59. 10.300 mol210.0821 L atm>mol K21300. K2 nRT = = 7.8 L H 2 P 0.95 atm Mg(OH)2 + 2 HCl ¡ MgCl 2 + 2 H 2O Al(OH)3 + 3 HCl ¡ AlCl 3 + 3 H 2O Calculate the moles of HCl neutralized by each base. 11.20 g Mg(OH)22a 11.00 g Al(OH)32a 1 mol 2 mol HCl b¢ ≤ = 0.0411 mol HCl 58.33 g 1 mol Mg(OH)2 3 mol HCl 1 mol b¢ ≤ = 0.0385 mol HCl 78.00 g 1 mol Al(OH)3 1.20 g Mg(OH)2 reacts with more HCl than 1.00 g Al(OH)3 . Therefore, Mg(OH)2 is more effective in neutralizing stomach acid. 60. 61. (a) With equal masses of CH 3OH and C2H 5OH, the substance with the lower molar mass will represent more moles of solute in solution. Therefore, the CH 3OH will be more effective than C2H 5OH as an antifreeze. (b) Equal molal solutions will lower the freezing point of the solution by the same amount. Calculate molarity and molality. Assume 1000 mL of solution to calculate the amounts of H 2SO4 and H 2O in the solution. 11000 mL solution2a 1.29 g b = 1.29 * 103 g solution mL 11.29 * 103 g solution2 ¢ 38 g H 2SO4 ≤ = 4.9 * 102 g H 2SO4 100 g solution 1.29 * 103 g solution - 4.9 * 102 g H 2SO4 = 8.0 * 102 g H 2O in the solution m = ¢ 490 g H 2SO4 2 8.0 * 10 g H 2O ≤a 1000 g 1 mol ba b = 6.2 m H 2SO4 kg 98.09 g 4.9 * 102 g H 2SO4 1 mol b = 5.0 M H 2SO4 M = ¢ ≤a L 98.09 g - 202 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 203 - Chapter 14 - 62. Freezing point depression is 5.4°C (a) ¢t f = mK f ¢t f 5.4°C = = 2.9 m Kf 1.86°C kg solvent>mol solute m = (b) K b (for H 2O) = 0.512°C kg solvent 0.512°C = m mol solute ¢t b = mK b = 12.9 m2a 0.512°C b = 1.5°C m Boiling point = 100°C + 1.5°C = 101.5°C 63. Freezing point depression = 0.372°C Kf = 1.86°C m ¢t f = mK f m = 0.372°C = 0.200 m 1.86°C>m 16.20 g C2H 6O22a 1 mol b = 0.100 mol C2H 6O2 62.07 g 10.100 mol C2H 6O22 ¢ 64. (a) 1 kg H 2O 1000 g H 2O ≤¢ ≤ = 500. g H 2O 0.200 mol C2H 6O2 kg H 2O Freezing point depression = 20.0°C 12.0 L H 2Oa 1000 mL 1.00 g ba b = 1.20 * 104 g H 2O L mL ¢t f = mK f m = 20.0°C = 10.8 m 1.86°C>m 11.20 * 104 g H 2O2 ¢ 10.8 mol C2H 6O2 62.07 g b = 8.04 * 103 g C2H 6O2 ≤a 1000 g H 2O mol (b) 18.04 * 103 g C2H 6O22a 1.00 mL b = 7.24 * 103 mL C2H 6O2 1.11 g (c) °F = 1.8 (°C) + 32 = 1.8 (-20.0) + 32 = -4.0°F - 203 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 204 - Chapter 14 - 65. HNO3 + NaHCO3 ¡ NaNO3 + H 2O + CO2 First calculate the grams of NaHCO3 in the sample. mL HNO3 ¡ L HNO3 ¡ mol HNO3 ¡ mol NaHCO3 ¡ g NaHCO3 1150 mL HNO32a 1L 0.055 mol 1 mol NaHCO3 84.01 g ba b¢ b ≤a 1000 mL L 1 mol HNO3 mol = 0.69 g NaHCO3 in the sample ¢ 66. 0.69 g NaHCO3 ≤ 11002 = 47% NaHCO3 1.48 g sample (a) Dilution problem: M 1V1 = M 2V2 11.5 M218.4 L2 = 117.8 M21V22 V2 = 11.5 M218.4 L2 = 0.71 L 17.8 M 0.71 L of 17.8 M H 2SO4 is to be diluted to 8.4 L. 8.4 L - 0.71 L = 7.7 L H 2O must be added (assume volumes are additive) 67. (b) a 17.8 mol b11.00 mL2 = 0.0178 mol 1000. mL (c) a 1.5 mol b11.00 mL2 = 0.0015 mol H 2SO4 in each mL 1000. mL moles HNO3 total = moles HNO3 from 3.00 M + moles HNO3 from 12.0 M M TVT = M 3.00 MV3.00 M + M 12.0 MV12.0 M Assume preparation of 1000. mL of 6 M solution Let y = volume of 3.00 M solution; volume of 12.0 M = 1000. mL - y 16.00 M211000. mL2 = 13.00 M21y2 + 112.0 M211000. mL - y2 6000. mL = 3.00 y mL + 12,000 mL - 12.0 y 6000. mL = 9.00 y y = 6000. mL = 667 mL 3 M 9.00 1000. mL - 667 mL = 333 mL 12 M Mix together 667 mL 3.00 M HNO3 and 333 mL of 12.0 M HNO3 to get 1000. mL of 6.00 M HNO3 . - 204 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 205 - Chapter 14 - 68. HBr + NaOH ¡ NaBr + H 2O First calculate the molarity of the diluted HBr solution. The reaction is 1 mol HBr to 1 mol NaOH, so M AVA = M BVB 1M A21100.0 mL2 = 10.37 M2188.4 mL2 10.37 M2188.4 mL2 = 0.33 M HBr (diluted solution) 100.00 mL MA = Now calculate the molarity of the HBr before dilution. M 1V1 = M 2V2 1M 12120.0 mL2 = 10.33 M21240. mL2 M1 = 69. 10.33 M21240. mL2 = 4.0 M HBr (original solution) 20.0 mL Ba(NO3)2 + 2 KOH ¡ Ba(OH)2 + 2 KNO3 This is a limiting reactant problem. First calculate the moles of each reactant and determine the limiting reactant. M * L = a moles b1L2 = moles L a 0.642 mol b10.0805 L2 = 0.0517 mol Ba(NO3)2 L a 0.743 mol b10.0445 L2 = 0.0331 mol KOH L According to the equation, twice as many moles of KOH as Ba(NO3)2 are needed, so KOH is the limiting reactant. 10.0331 mol KOH2 ¢ 70. 1 mol Ba(OH)2 171.3 g b = 2.84 g Ba(OH)2 is formed ≤a 2 mol KOH mol (a) a 0.25 mol b10.0458 L2 = 0.011 mol Li 2CO3 L (b) a 73.89 g 0.25 mol b10.75 L2a b = 14 g Li 2CO3 L mol (c) 16.0 g Li 2CO32a 1 mol 1000. mL ba b = 3.2 * 102 mL solution 73.89 g 0.25 mol - 205 - HEINS14-180-206v3.qxd 12/22/06 5:05 AM Page 206 - Chapter 14 - (d) Assume 1000. mL solution a 1.22 g b11000. mL2 = 1220 g solution mL a 0.25 mol 73.89 g Li 2CO3 b¢ ≤ = 18 g Li 2CO3 per L solution L mol % = a 71. 18 g g solute b11002 = a b11002 = 1.5% g solution 1220 g The balanced equation is 2 HCl(aq) + Na2SO3(aq) ¡ 2 NaCL(aq) + H2O(l) + SO2(g) (125 mL HCl)a 1 mol SO2 2.50 mol ba b = 0.156 mol SO2 1000 mL 2 mol HCl 1 mol SO2 1.75 mol ba b = 0.131 mol SO2 1000 mL 1 mol Na2SO3 Na2SO3 is the limiting reactant. 0.131 mol of SO2 gas will be produced (75.0 mL Na2SO3)a The gas is at non-standard conditions, so use PV = nRT to find the liters of SO2. V = 72. nRT P V = (0.131 mol)(0.0821 L atm/mol K)(295 K) = 3.11 L SO2 (775 torr)(1 atm/760 torr) mass of solute = mass of container & solute - mass of container - mass of water mass of water = 15.549 moles2118.02 g>mol2 = 100.0 g mass of solute = 563 g - 375 g - 100.0 g = 88 g solubility in water = g solute>100 g H 2O Using this data, solubility is 88 g solute>100.0 g water = NaNO3 (see Table 14.3). - 206 -