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Chapter 19 Chemical Thermodynamics. Chemistry, The Central Science, 10th edition Theodore L. Brown; H. Eugene LeMay, Jr.; and Bruce E. Bursten. Troy Wood University of Buffalo Buffalo, NY 2006, Prentice Hall.
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Chapter 19Chemical Thermodynamics Chemistry, The Central Science, 10th edition Theodore L. Brown; H. Eugene LeMay, Jr.; and Bruce E. Bursten Troy Wood University of Buffalo Buffalo, NY 2006, Prentice Hall
Melting a cube of water ice at 10°C and atmospheric pressure is a ________ process. • Spontaneous • Nonspontaneous
Correct Answer: Melting of an ice cube at 1 atm pressure will only be spontaneous above the freezing point (0°C). • Spontaneous • Nonspontaneous
The sign of entropy change, DS, associated with the boiling of water is _______. • Positive • Negative • Zero
Correct Answer: • Positive • Negative • Zero Vaporization of a liquid to a gas leads to a large increase in volume and hence entropy; DS must be positive.
Decomposition of CaCO3 has a H° = 178.3 kJ/mol and S° = 159 J/mol K. At what temperature does this become spontaneous? 121°C 395°C 848°C 1121°C
Correct Answer: 121°C 395°C 848°C 1121°C T = H°/S° T = 178.3 kJ/mol/0.159 kJ/mol K T = 1121 K T (°C) = 1121 – 273 = 848
Which of the following would be expected to have the highest entropy? 1 mole N2(l) 1 mole N2(g) 1 mole Ar(g) 1 mole Ar(s)
Correct Answer: 1 mole N2(l) 1 mole N2(g) 1 mole Ar(g) 1 mole Ar(s) Given the same amounts, gases have higher entropy than liquids, which have higher entropy than solids. Of the gases, N2 has greater entropy than Ar because N2 is a molecule that can store energy in ways not possible for Ar.
Calculate DS° for the equation below using the standard entropy data given: 2 NO(g) + O2(g) 2 NO2(g) DS° values (J/mol-K): NO2(g) = 240, NO(g) = 211, O2(g) = 205. 47 J/mol 76 J/mol +176 J/mol +147 J/mol
Correct Answer: 147 J/mol 76 J/mol +176 J/mol +147 J/mol ( ) ( ) D = D D S S products S reactants DS° = 2(240) [2(211) + 205] DS° = 480 [627] DS° = 147
Predict whether entropy increases, decreases, or stays constant for: 2 NO2(g) 2 NO(g) + O2(g) Increases Decreases Stays constant
Correct Answer: Increases Decreases Stays constant The entropy increases because two molecules of gas react to form three molecules of gas, leading to more disorder.
Calculate DG° for the equation below using the Gibbs free energy data given: 2 SO2(g) + O2(g) 2 SO3(g) DG° values (kJ): SO2(g) = 300.4, SO3(g) = 370.4 +70 kJ +140 kJ 140 kJ 70 kJ
Correct Answer: +70 kJ +140 kJ 140 kJ 70 kJ ( ) ( ) ° ° ° = G G products G reactants f f DG° = (2 370.4) [(2 300.4) + 0] DG° = 740.8 [600.8] = 140
Calculate DG° for the equation below using the thermodynamic data given: N2(g) + 3 H2(g) 2 NH3(g) DH° (NH3) = 46 kJ; DS° values (J/mol-K) are NH3 = 192.5, N2 = 191.5, H2 = 130.6. 66 kJ 33 kJ +33 kJ +66 kJ
Correct Answer: +33 kJ +66 kJ 66 kJ 33 kJ DH° = 92 kJ DS° = 198.7J/mol K DG° = DH° TDS° DG° = (92) (298)(0.1987) DG° = (92) + (59.2) = 33
Both the entropy,DS° and the enthalpy DH° have positive values. Near absolute zero (0 K), will the process be spontaneous or nonspontaneous? • Spontaneous • Nonspontaneous
Correct Answer: • Spontaneous • Nonspontaneous At low temperatures, the enthalpy term dominates the entropy term, leading to a positive DG and a nonspontaneous process.
Suppose G° is a large, positive value. What then will be the value of the equilibrium constant, K? K = 0 K = 1 0 < K < 1 K > 1
Correct Answer: G° = RTlnK Thus, large positive values of DG° lead to large negative values of lnK. The value of K itself, then, is very small, approaching zero. K = 0 K = 1 0 < K < 1 K > 1