Review Chapter 12 Physical Properties of Solutions 2. Which response lists all the following pairs that are miscible liquids. Pair # 1. octane (C8H18) and water Pair # 2. acetic acid (CH3COOH) and water Pair # 3. octane (C8H18) and carbon tetrachloride (CCl4) A. B. C. D. E. 5. 9. 1, 3 1, 2 3 2 2, 3 Which of the following gives the molarity of a 17.0% by mass solution of sodium acetate, CH3COONa (molar mass = 82.0 g/mol) in water? The density of the solution is 1.09 g/mL. A. 2.26 10-6 M B. 0.207 M C. 2.07 M D. 2.26 M E. 2.72 M What is the percent CsCl by mass in a 0.711 M CsCl solution that has a density of 1.091 g/mL? A. B. C. D. E. 3.87 10-4 % 3.87 10-1 % 11.0 % 1.1 % 6.5 10-2 % 11. How many grams of water are needed to dissolve 27.8 g of ammonium nitrate NH4NO3 in order to prepare a 0.452 m solution? A. B. C. D. E. 769 g 36.2 g 100. g 0.157 g 157 g 21. The solubility of oxygen in lakes high in the Rocky Mountains is affected by the altitude. If the solubility of O2 from the air is 2.67 10-4 M at sea level and 25C, what is the solubility of O2 at an elevation of 12,000 ft where the atmospheric pressure is 0.657 atm? Assume the temperature is 25C, and that the mole fraction of O2 in air is 0.209 at both 12,000 ft and at sea level. A. B. C. D. E. 1.75 10-4 M 2.67 10-4 M 3.66 10-5 M 4.06 10-4 M none of these 25. According to Raoult's law, which statement is false? A. B. C. D. E. The vapor pressure of a solvent over a solution decreases as its mole fraction increases. The solubility of a gas increases as the temperature decreases. The vapor pressure of a solvent over a solution is less than that of pure solvent. The greater the pressure of a gas over a solution the greater its solubility. Ionic solutes dissociate in solution causing an enhancement of all colligative properties. 28. A solution is 40.0% by volume benzene (C6H6) in carbon tetrachloride at 20C. The vapor pressure of pure benzene at this temperature is 74.61 mmHg and its density is 0.87865 g/cm3; the vapor pressure of pure carbon tetrachloride is 91.32 mmHg and its density is 1.5940 g/cm3. If this solution is ideal, its total vapor pressure at 20C is A. B. C. D. E. 84.64 mmHg. 84.30 mmHg. 82.96 mmHg. 81.63 mmHg. 165.93 mmHg. 32. What is the freezing point of a solution that contains 10.0 g of glucose (C6H12O6) in 100. g of H2O? Kf for water is 1.86C/m. A. B. C. D. E. -0.186C +0.186C -0.10C +0.10C -1.03C 33. Which of the following aqueous solutions has the highest boiling point? Kb for water is 0.52C/m. A. B. C. D. E. 0.2 m KCl 0.2 m Na2SO4 0.2 m Ca(NO3)2 0.2 m KCl AND 0.2 m Na2SO4 0.2 m Na2SO4 AND 0.2 m Ca(NO3)2 34. Which of the following aqueous solutions has the highest osmotic pressure at 25C? A. B. C. D. 0.2 M KBr 0.2 M ethanol 0.2 M Na2SO4 0.2 M KCl 36. Calculate the freezing point of a solution made from 22.0 g of octane (C8H18) dissolved in 148.0 g of benzene. Benzene freezes at 5.50C and its Kf value is 5.12C/m. A. B. C. D. E. -1.16C 0.98C 6.66C 12.2C 5.49C 45. What volume of water should be added to 600. mL of ethanol in order to have a solution that boils at 95.0C? [For ethanol, Kb = 1.22C/m, density = 0.789 g/cm3, boiling point = 78.4C] A. B. C. D. E. 186 mL 245 mL 518 mL 116 mL 322 mL 48. What is the boiling point of an aqueous solution of a nonelectrolyte that has an osmotic pressure of 10.50 atm at 25C? Kb of water is 0.52C/m. Assume the density of the solution is the same as that of pure water. A. B. C. D. E. 0.22C 0.429C 100.43C 99.78C 100.22C 51. An aqueous fructose solution having a density of 1.049 g/cm3 is found to have an osmotic pressure of 17.0 atm at 25C. Find the temperature at which this solution freezes. [Given: for water Kf = 1.86C/m; molecular mass of fructose = 180.16 g/mol] A. B. C. D. E. -1.52C -1.30C -1.57C -1.69C -1.41C 52. Consider a 0.90 M Al(NO3)3 solution. This solution has a nitrate ion concentration of A. B. C. D. E. 0.30 M. 0.90 M. 0.0 M. 8.1 M. 2.7 M. 57. Arrange the following aqueous solutions in order of increasing boiling points. 0.050 m Mg(NO3)2; 0.100 m ethanol; 0.090 m NaCl A. B. C. D. E. Mg(NO3)2 < NaCl < ethanol ethanol < Mg(NO3)2 < NaCl ethanol < NaCl < Mg(NO3)2 NaCl < ethanol < Mg(NO3)2 Mg(NO3)2 < ethanol < NaCl 58. The osmotic pressure of a 0.010 M MgSO4 solution at 25C is 0.318 atm. Calculate i, the van't Hoff factor, for this MgSO4 solution. A. B. C. D. E. 0.013 1.3 1.5 2.0 76.8 Chapter 12 Physical Properties of Solutions Key 1.D 2.E 3.E 4.D 5.D 6.A 7.D 8.C 9.C 10.C 11.A 12.D 13.E 14.D 15.B 16.E 17.C 18.B 19.B 20.A 21.A 22.C 23.A 24.E 25.A 26.B 27.C 28.B 29.D 30.E 31.C 32.E 33.E 34.C 35.A 36.A 37.E 38.D 39.A 40.D 41.E 42.E 43.A 44.C 45.D 46.A 47.E 48.E 49.A 50.B 51.E 52.E 53.D 54.C 55.E 56.B 57.B 58.B Chapter 13 Chemical Kinetics 3. For the following reaction, P(C6H14)/t was found to be -6.2 10-3 atm/s. C6H14(g) C6H6(g) + 4H2(g) Determine P(H2)/t for this reaction at the same time. A. B. C. D. E. 5. For the hypothetical reaction A + 3B 2C, the rate of appearance of C given by ([C]/t) may also be expressed as A. B. C. D. 6. 6.2 10-3 atm/s 1.6 10-3 atm/s 2.5 10-2 atm/s -1.6 10-3 atm/s -2.5 10-2 atm/s [C]/t = [A]/t [C]/t = -(3/2) [B]/t [C]/t = -(2/3) [B]/t [C]/t = -(1/2) [A]/t For the overall chemical reaction shown below, which one of the following statements can be rightly assumed? 2H2S(g) + O2(g) 2S(s) + 2H2O(l) A. B. C. D. E. 7. The reaction A + 2B products has been found to have the rate law, rate = k[A] [B]2. While holding the concentration of A constant, the concentration of B is increased from x to 3x. Predict by what factor the rate of reaction increases. A. B. C. D. E. 8. The reaction is third-order overall. The reaction is second-order overall. The rate law is, rate = k[H2S]2 [O2]. The rate law is, rate = k[H2S] [O2]. The rate law cannot be determined from the information given. 3 6 9 27 30 For the hypothetical reaction A + 3B 2C, the rate should be expressed as A. B. C. D. E. rate = [A]/t rate = -[C]/ rate = -3([B]/t) rate = (1/2)([C]/t) rate = (1/3)([B]/t) 11. The reaction A + 2B products was found to follow the rate law, rate = k[A]2[B]. Predict by what factor the rate of reaction will increase when the concentration of A is doubled, the concentration of B is tripled, and the temperature remains constant. A. B. C. D. E. 5 6 12 18 none of these 13. It takes 42.0 min for the concentration of a reactant in a first-order reaction to drop from 0.45 M to 0.32 M at 25C. How long will it take for the reaction to be 90% complete? A. B. C. D. E. 13.0 min 86.0 min 137 min 222 min 284 min 15. Use the following data to determine the rate law for the reaction 2NO + H2 N2O + H2O. A. B. C. D. E. rate = k[NO] rate = k[NO]2 rate = k[NO][H2] rate = k[NO]2[H2] rate = k[NO]2[H2]2 17. At 25C the rate constant for the first-order decomposition of a pesticide solution is 6.40 10-3 min-1. If the starting concentration of pesticide is 0.0314 M, what concentration will remain after 62.0 min at 25C? A. B. C. D. E. 1.14 10-1 M 47.4 M -8.72.0 M 2.11 10-2 M 2.68 10-2 M 18. A certain first-order reaction A B is 25% complete in 42 min at 25C. What is the half-life of the reaction? A. B. C. D. E. 21 min 42 min 84 min 120 min 101 min 21. A first-order reaction has a rate constant of 3.00 10-3 s-1. The time required for the reaction to be 75.0% complete is A. B. C. D. E. 95.8 s. 462 s. 231 s. 201 s. 41.7 s. 26. The isomerization of cyclopropane to form propene is a first-order reaction. At 760 K, 85% of a sample of cyclopropane changes to propene in 79.0 min. Determine the rate constant for this reaction at 760 K. A. B. C. D. E. 3.66 10-2 min-1 1.04 10-2 min-1 2.42 min-1 2.06 10-3 min-1 2.40 10-2 min-1 30. The first-order reaction SO2Cl2 SO2 + Cl2 is 10% complete in 80. min. How long would it take for the reaction to be 95% complete? A. B. C. D. E. 1.8 min 104 min 530 min 2300 min 990 min 32. A certain reaction A products is second order in A. If this reaction is 10.% complete after 20. s, how long would it take for the reaction to be 90.% complete? A. B. C. D. E. 180 s 1600 s 440 s 18,000 s 540 s 35. For the reaction X + Y Z, the reaction rate is found to depend only upon the concentration of X. A plot of 1/X verses time gives a straight line. What is the rate law for this reaction? A. B. C. D. rate = k [X] rate = k [X]2 rate = k [X][Y] rate = k [X]2[Y] 36. The reaction 2NO2(g) 2NO(g) + O2(g) is suspected to be second order in NO2. Which of the following kinetic plots would be the most useful to confirm whether or not the reaction is second order? A. B. C. D. E. a plot of [NO2]-1 vs. t a plot of ln [NO2] vs. t a plot of [NO2] vs. t a plot of ln [NO2]-1 vs. t a plot of [NO2]2 vs. t 37. The thermal decomposition of acetaldehyde, CH3CHO CH4 + CO, is a second-order reaction. The following data were obtained at 518C. Calculate the rate constant for the decomposition of acetaldehyde from the above data. A. B. C. D. E. 2.2 10-3/s 0.70 mmHg/s 2.2 10-3/mmHg·s 6.7 10-6/mmHg·s 5.2 10-5/mmHg·s 41. The graphs below all refer to the same reaction. What is the order of this reaction? A. B. C. D. zeroth order first order second order unable to predict 43. For a second order reaction, the half-life is equal to A. B. C. D. E. t1/2 = 0.693/k. t1/2 = k/0.693. t1/2 = 1/k[A]o. t1/2 = k. t1/2 = [A]o/2k. 44. Which one of the following changes would alter the rate constant (k) for the reaction 2A + B products? A. B. C. D. increasing the concentration of A increasing the concentration of B increasing the temperature measuring k again after the reaction has run for a while 45. The Arrhenius equation is k = A e-(Ea/RT). The slope of a plot of ln k vs. 1/T is equal to A. B. C. D. E. -k. k. Ea. -Ea /R. A. 47. The activation energy for the reaction CH3CO CH3 + CO is 71 kJ/mol. How many times greater is the rate constant for this reaction at 170C than at 150C? A. B. C. D. E. 0.40 1.1 2.5 4.0 5.0 48. If Ea for a certain biological reaction is 50. kJ/mol, by what factor (how many times will the rate of this reaction increase when body temperature increases from 37C (normal) to 40C (fever)? A. B. C. D. E. 1.15 1.20 2.0 105 1.0002 2.0 50. At 30C, by how much is a reaction's activation energy decreased by the addition of a catalyst if the catalyst triples the reaction rate? A. B. C. D. E. 2.77 kJ/mol 274 J/mol 2.70 J/mol 119 J/mol 1.20 kJ/mol 52. The isomerization of cyclopropane follows first order kinetics. The rate constant at 700 K is 6.20 10-4 min-1, and the half-life at 760 K is 29.0 min. Calculate the activation energy for this reaction. A. B. C. D. E. 5.07 kJ/mol 27.0 kJ/mol 50.7 kJ/mol 160. kJ/mol 270. kJ/mol 55. The reaction C4H10 C2H6 + C2H4 has an activation energy (Ea) of 350 kJ/mol, and the Ea of the reverse reaction is 260 kJ/mol. Estimate H, in kJ/mol, for the reaction as written above. A. B. C. D. E. -90 kJ/mol +90 kJ/mol 350 kJ/mol -610 kJ/mol +610 kJ/mol 58. The activation energy for the reaction O + O3 2O2 is 25 kJ/mol, and the enthalpy change is H = -388 kJ/mol. What is the activation energy for the decomposition of O2 by the reverse reaction? A. B. C. D. E. 413 kJ 388 kJ 363 kJ 50 kJ 25 kJ 60. An increase in the temperature of the reactants causes an increase in the rate of reaction. The best explanation for this behavior is that as the temperature increases, A. B. C. D. E. the concentration of reactants increases. the activation energy decreases. the collision frequency increases. the fraction of collisions with total kinetic energy > Ea increases. the activation energy increases. 63. When the concentrations of reactant molecules are increased, the rate of reaction increases. The best explanation for this phenomenon is that as the reactant concentration increases, A. B. C. D. E. the average kinetic energy of molecules increases. the frequency of molecular collisions increases. the rate constant increases. the activation energy increases. the order of reaction increases. Chapter 13 Chemical Kinetics Key 1.E 2.B 3.C 4.B 5.C 6.E 7.C 8.D 9.D 10.D 11.C 12.C 13.E 14.D 15.B 16.E 17.D 18.E 19.C 20.D 21.B 22.A 23.C 24.B 25.D 26.E 27.B 28.B 29.D 30.D 31.A 32.B 33.E 34.D 35.B 36.A 37.D 38.B 39.A 40.C 41.A 42.A 43.C 44.C 45.D 46.C 47.C 48.B 49.D 50.A 51.B 52.E 53.E 54.A 55.B 56.A 57.C 58.A 59.D 60.D 61.A 62.B 63.B