Burdge/Overby, Chemistry: Atoms First, 2e Ch14 | Page 29

598 CHAPTE R 14? Entropy and Free Energy 2F(g) at V C 14.2 Now consider the reaction F2(g) constant temperature and pressure. What factors contribute to the entropy increase associated with the reaction? Molar Increased Increase in Volume mass number of Phase molecular increase increase molecules change complexity (i) (ii) (iii) (iv) (v) (a) i and iii (b) i, ii, and iii (c) i, iv, and v V C 14.3 Which of the following best describes why entropy always increases with temperature? (a) As temperature increases, the number of molecules increases. (b) As temperature increases, energy levels become more closely spaced. (c) As temperature increases, the molecules become more energetic and can access more energy levels. V C 14.4 Which of the following best explains why entropy typically increases with molar mass? (a) As molar mass increases, the number of molecules increases. (b) As molar mass increases, energy levels become more closely spaced. (c) As molar mass increases, the molecules become more energetic and can access more energy levels. Review Questions 14.8 How does the entropy of a system change for each of the following processes? (a) A solid melts. (b) A liquid freezes. (c) A liquid boils. (d) A vapor is converted to a solid. (e) A vapor condenses to a liquid. (f) A solid sublimes. (g) A solid dissolves in water. 14.9 How does the entropy of a system change for each of the following processes? (a) Bromine liquid vaporizes. (b) Water freezes to form ice. (c) Naphthalene, the key component of mothballs, sublimes. (d) Sugar crystals form from a supersaturated solution. (e) A block of lead melts. (f) Iodine vapor condenses to form solid iodine. (g) Carbon tetrachloride dissolves in liquid benzene. 14.10 Predict whether the entropy change is positive or negative for each of the following reactions. Give reasons for your predictions. 2KClO3(s) + O2(g) (a) 2KClO4(s) (b) H2O(g) H2O(l) (c) 2Na(s) + 2H2O(l) 2NaOH(aq) + H2(g) (d) N2(g) 2N(g) bur11184_ch14_570-603.indd 598 14.11 State whether the sign of the entropy change expected for each of the following processes will be positive or negative, and explain your predictions. (a) PCl3(g) + Cl2(g) PCl5(g) (b) 2HgO(s) 2Hg(l) + O2(g) (c) H2(g) 2H(g) (d) U(s) + 3F2(g) UF6(s) Computational Problems 14.12 Calculate ?Ssys for (a) the isothermal expansion of 2.0 moles of an ideal gas from 10.0 L to 15.0 L, (b) the isothermal expansion of 1.5 moles of an ideal gas from 20.0 L to 22.5 L, and (c) the isothermal compression of 5.0 moles of an id eal gas from 100.0 L to 75.0 L. 14.13 Calculate ?Ssys for (a) the isothermal compression of 0.0050 mole of an ideal gas from 112 mL to 52.5 mL, (b) the isothermal compression of 0.015 mole of an ideal gas from 225 mL to 22.5 mL, and (c) the isothermal expansion of 22.1 moles of an ideal gas from 122 L to 275 L. 14.14 Using the data in Appendix 2, calculate the standard entropy changes for the following reactions at 25°C: (a) S(rhombic) + O2(g) SO2(g) (b) MgCO3(s) MgO(s) + CO2(g) 4CO2(g) + 6H2O(l) (c) 2C2H6(g) + 7O2(g) 14.15 Using the data in Appendix 2, calculate the standard entropy changes for the following reactions at 25°C: (a) H2(g) + CuO(s) Cu(s) + H2O(g) (b) 2Al(s) + 3ZnO(s) Al2O3(s) + 3Zn(s) (c) CH4(g) + 2O2(g) CO2(g) + 2H2O(l) Conceptual Problems 14.16 For each pair of substances listed here, choose the one having the larger standard entropy value at 25°C. The same molar amount is used in the comparison. Explain the basis for your choice. (a) Li(s) or Li(l), (b) C2H5OH(l) or CH3OCH3(l) (Hint: Which molecule can hydrogen bond?), (c) Ar(g) or Xe(g), (d) CO(g) or CO2(g), (e) O2(g) or O3(g), (f) NO2(g) or N2O4(g). 14.17 Arrange the following substances (1 mole each) in order of increasing entropy at 25°C: (a) Ne(g), (b) SO2(g), (c) Na(s), (d)?NaCl(s), (e) H2(g). Give the reasons for your arrangement. Section 14.4:?Entropy Changes in the Universe Review Questions 14.18 State the second law of thermodynamics in words, and express it mathematically. 14.19 State the third law of thermodynamics in words, and explain its usefulness in calculating entropy values. Computational Problems 14.20 Calculate ?Ssurr for each of the reactions in Problem 14.16 and determine if each reaction is spontaneous at 25°C. 14.21 Calculate ?Ssurr for each of the reactions in Problem 14.17 and determine if each reaction is spontaneous at 25°C. 9/10/13 12:01 PM