AP Chemistry – Ch16 Homework Ch16 HW#1 p828 17,19,21,23,25,26 17. Which of the following processes are spontaneous? a. Salt dissolves in H2O. b. A clear solution becomes a uniform color after a few drops of dye are added. c. Iron rusts. d. You clean your bedroom. (If that’s even possible.) 19. Consider the following energy levels, each capable of holding 2 objects: E = 2 kJ __ Draw all possible arrangements of the two identical particles in the E = 1 kJ __ three energy levels. What total energy is most likely, that is, occurs E = 0 kJ XX the greatest number of times? Assume particles are indistinguishable from each other. 21. Choose the compound with the greatest positional entropy in each case. a. 1 mol H2 (at STP) or 1 mol H2 (at 100˚C,0.5 atm) b. 1 mol N2 (at STP) or 1 mol N2 (at 100K, 2 atm) c. 1 mol H2O(s) (at 0˚C) or 1 mol H2O(l) (at 20˚C) 23. Which of the following involve an increase in the entropy of the system? a. melting of a solid b. sublimation c. freezing 25. Predict the sign ∆Ssurr for the following processes. a. H2O(l) → H2O(g) b. CO2(g) → CO2(s) 26. Calculate ∆Ssurr for the following reactions at 25˚C and 1 atm. a. C3H8(g) + 5O2(g) → 3CO2 (g) + 4H2O(l) ∆H˚= -2221 kJ b. 2NO2(g) → 2NO(g) + O2(g) ∆H˚= 112 kJ Ch16 HW#2 p829 27,28,29,31 27.Given the values of ∆H and ∆S which of the following changes will be spontaneous at constant T and P? a. ∆H = +25 kJ, ∆S = +5.0 J/k, T = 300K b. ∆H = + 25 kJ, ∆S = + 100 J/K T = 300K c. ∆H = -10 kJ, ∆S = +5.0 J/K T= 298K d. ∆H = -10 kJ , ∆S = -40 J/K T= 200K 28. At what temperatures will the following processes be spontaneous? a. ∆H = -18kJ, ∆S = -60 J/K b. ∆H = + 18 kJ, ∆S = + 60 J/K c. ∆H = +18kJ, ∆S = -60 J/K d. ∆H = -18 kJ , ∆S = 60 J/K 29. The boiling point of chloroform (CHCl3) is 61.7˚C. The enthalpy of vaporization is 31.4 kJ/mol. Calculate the entropy of vaporization. 31. For ammonia (NH3), the enthalpy of fusion is 5.65 kJ/mol and the entropy of fusion is 28.9 J/K∙mol. a. Will NH3 spontaneously melt at 200K? b. What is the approximate melting point of ammonia? Ch16 HW#3 p829 33,34,37,39 33. Predict the sign of ∆S˚ for each of the following changes. b. AgCI(s) → Ag+ (aq) + CI-(aq) c. 2H2(g) + O2(g) → 2H2O(l) d. H2O(l) → H2O(g) a. 34. Predict the sign of ∆S˚ for each of the following changes. a. Na(s) + ½ CI2(g) → NaCI(s) b. N2(g) + 3H2(g) → 2NH3(g) c. NaCI(s) → Na+ (aq) + CI- (aq) d. NaCI(s) → NaCI(l) 37. Predict the sign of ∆S˚, then calc ∆S˚ for each of the following reactions. a. 2H2S(g) +SO2(g) → 3Srhombic(s) +2H2O(g) b. 2SO3 (g) → 2SO2(g) +O2(g) c. Fe2O3(s) + 3H2(g) →2Fe(s) + 3H2O(g) 39. For the reaction C2H2(g) + 4F2(g) → 2CF4(g) + H2(g) ∆S˚ is equal to -358 J/K. Use this value and data from Appendix 4 to calculate the value of S˚ for CF4(g). Ch16 HW#4 p830 45,47,49,53 45. From data in Appendix 4, calculate ∆H˚, ∆S˚, and ∆G˚ for each of the following reactions at 25˚C. a. CH4(g) + 2O2(g) → CO2(g) +2H2O(g) b. 6CO2(g) +6H2O(l) → C6H12O6(s) + 6O2(g) c. P4O10(s) + 6H2O(l) → 4H3PO4(s) d. HCl(g) + NH3(g) → NH4Cl(s) 47. From data in Appendix 4, calculate ∆H˚, ∆S˚, and ∆G˚ for each of the following reactions that produce acetic acid: O O ║ ║ CH4(g) +CO2(g) → CH3C─OH(l) CH3OH(g) + CO(g) → CH3C─OH(l) Which reaction would you choose as a commercial method for producing acetic acid (CH3CO2H) at standard conditions? What temperature conditions would you choose for the reaction? Assume ∆H˚ and ∆S˚ do not depend on the temperature . 49. Given the following data: S(s) + 3/2 O2(g) → SO3(g) ∆G˚= -371 kJ Calculate ∆G˚ for the reaction: 2SO2(g) +O2(g) → 2SO3(g) ∆G˚= -142 kJ S(s) +O2(g) → SO2(g) 53. Use ∆G˚f values in Appendix 4 to calculate ∆G˚ for the reaction: 4PH3(g) +8O2 → P4O10(s) + 6H2O(l) Ch16 HW#5 p830 46,48,50,52 46. For the reaction at 298 K 2NO2(g) N2O4(g) the values of ∆ H° and ΔS ° are – 58.03 kJ and – 176.6 j/K, respectively. What is the value of ΔG° ? Assuming that ∆ H° and ΔS ° do not depend on temperature , at what temperature is ΔG° = 0? Is ΔG° negative above or below this temperature? 48. Consider the two reactions for the production of ethanol: C2H4(g) + H2O(g) CH3CH2OH(l) C2H6(g) + H2O(g) CH3CH2OH(l) + H2(g) Which would be the more thermodynamically feasible at standard conditions? Why? 50. Given the following data : 2C6H6(l) + 15O2(g) 12CO2(g) + 6H2O(l) ∆G° = -6399kJ Calculate the ∆G° for C(s) + O2(g) CO2(g) ∆G° = -394kJ the reaction: H2(g) + ½ O2(g) H2O(l) ∆G° = -237kJ 6C(s) + 3H2 C6H6(l) 52. The value of ∆G° for the reaction 2C4H10(g) + 13O2(g) 8CO2 (g) + 10 H2O(l) is -5490 KJ. Use this value and data from Appendix 4 to calculate the standard free energy of formation of C4H10(g). Ch16 Rev p828 22,24,30,38b,44,54 22. Chose the substance with the greater positional entropy of the system? a. 1 mol He (at 500°C, 1 atm) or 1 mol He (at 500°C, 2 atm) b. 1 mol He (at STP) or 1 mol He (at 200K, 2 atm) c. 1 mol He(s) (at 0 K) or 1 mol He(g) (at 5 K) 24. Which of the following involve an increase in the entropy of the system? a. Mixing. b. Separation. c. Boiling. 30. For mercury, the enthalpy of vaporization is 58.51 kJ/mol and the entropy of vaporization is 92.92 J/K∙mol. What is the normal boiling point of mercury? 38. Predict the sign of ∆S° and then calculate ∆S° for: N2(g) + 3H2(g) 2NH3(g) 44. Hydrogen cyanide is produced industrially by the following exothermic reaction: 2NH3(g) + 3O2(g) + 2CH4(g) 2HCN(g) + 6H2O(g) Is the high temp needed for the thermodynamic or kinetic reasons? 54. Consider the reaction 2POCl3(g) 2PCl3(g) + O2(g) a. Calculate ∆G° for this reaction. 2POCl3(g) 2PCl3(g) + O2(g) The ∆Gf° values for POCl3(g) and PCl3(g) are -502 kJ/mol and -207. kJ/mol, respectively. b. Is this reaction spontaneous under standard conditions at 298 K? c. The value of ∆S° for this reaction is 179 J/K. At what temperatures is this reaction spontaneous at standard conditions? Assume that ∆H° and ∆S° do not depend on temperature.