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The standard molar free energies of formation of NO2(g) and N2O4(g) at 25°C are 51.84 and 98.28 kJ/mol, respectively. What is the value of Kp (in atm) for the reaction written as follows at 25°C? 2NO2 The standard molar free energies of formation of NO<sub>2</sub>(g)  and N<sub>2</sub>O<sub>4</sub>(g)  at 25°C are 51.84 and 98.28 kJ/mol, respectively. What is the value of K<sub>p</sub> (in atm)  for the reaction written as follows at 25°C? 2NO<sub>2</sub>  N<sub>2</sub>O<sub>4</sub> A)  8.84 B)  1.17 × 10<sup>4</sup> C)  1.37 × 10<sup>8</sup> D)  7.31 × 10<sup>-9</sup> E)  0.113N2O4


A) 8.84
B) 1.17 × 104
C) 1.37 × 108
D) 7.31 × 10-9
E) 0.113

F) B) and C)
G) A) and D)

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The constant that connects the entropy of a system to the number of microstates is


A) The constant that connects the entropy of a system to the number of microstates is A)    B)    C)  R D)  k<sub>B</sub> E)  B and C
B) The constant that connects the entropy of a system to the number of microstates is A)    B)    C)  R D)  k<sub>B</sub> E)  B and C
C) R
D) kB
E) B and C

F) A) and E)
G) A) and B)

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The process H2O(g) → H2O(l) takes place at 1 atm and 95°C. -Calculate ΔS for cooling 2.60 mol of an ideal monatomic gas from 88°C to 39°C at constant volume.


A) -1.82 J/K
B) -17.6 J/K
C) -3.15 J/K
D) -4.73 J/K
E) -26.4 J/K

F) B) and E)
G) C) and E)

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​Which of the following statements is/are true of work in reversible and irreversible processes? 1) Achieving the maximum work available from a spontaneous process can occur only via a hypothetical pathway. 2) In any real cyclic process, work is changed to heat in the surrounding, and the entropy of the universe increases. 3) Achieving the maximum work available from a spontaneous process can occur via a real pathway.


A) 1 only​
B) 3 only
C) 1 and 2
D) 2 and 3
E) 1 and 3

F) C) and E)
G) B) and D)

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Calculate the entropy change when 5.00 mol of a monatomic ideal gas is cooled from 135°C to 85°C at 1 atm.


A) -48.9 J/K
B) -13.6 J/K
C) -250.0 J/K
D) -9.62 J/K
E) -2.74 J/K

F) B) and C)
G) C) and D)

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Consider the process A(l) Consider the process A(l)    A(s) . Which direction favors positional randomness? A)  to the left B)  neither C)  It depends on the temperature. D)  to the right A(s) . Which direction favors positional randomness?


A) to the left
B) neither
C) It depends on the temperature.
D) to the right

E) A) and B)
F) A) and C)

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When a stable diatomic molecule spontaneously forms from its atoms, what are the signs of ΔH°, ΔS°, and ΔG°, respectively?


A) + + +
B) - - +
C) - + +
D) + - -
E) - - -

F) B) and E)
G) B) and C)

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What is the value of ΔH for this dissociation reaction?


A) 26.8 kJ
B) -122.1 kJ
C) 112.4 kJ
D) 122.1 kJ
E) none of these

F) B) and D)
G) A) and C)

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As O2(l) is cooled at 1 atm, it freezes at 54.5 K to form Solid I. At a lower temperature, Solid I rearranges to Solid II, which has a different crystal structure. Thermal measurements show that ΔH for the I → II phase transition is -743.1 J/mol and that ΔS for the same transition is -17.0 J/K mol. At what temperature are Solids I and II in equilibrium?


A) 43.7 K
B) 2.06 K
C) 53.4 K
D) 31.5 K
E) They can never be in equilibrium because they are both solids.

F) A) and D)
G) B) and D)

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Assume that the reaction CO(g) + H2O(g) Assume that the reaction CO(g)  + H<sub>2</sub>O(g)   CO<sub>2</sub>(g)  + H<sub>2</sub>(g)  Occurs in an mixture of ideal gases. At 700 K, K<sub>p</sub> = 5.10. At this temperature, what is ΔG°? A)  0 kJ B)  29.7 kJ C)  -9.48 kJ D)  -4.12 kJ E)  9.48 kJCO2(g) + H2(g) Occurs in an mixture of ideal gases. At 700 K, Kp = 5.10. At this temperature, what is ΔG°?


A) 0 kJ
B) 29.7 kJ
C) -9.48 kJ
D) -4.12 kJ
E) 9.48 kJ

F) C) and D)
G) A) and D)

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In which case must a reaction be spontaneous at all temperatures?


A) ΔS = 0, ΔH is positive
B) ΔH is negative, ΔS is positive
C) ΔH = 0, ΔS is negative
D) ΔH is positive, ΔS is positive
E) none of these

F) B) and C)
G) C) and D)

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One mole of an ideal gas is compressed isothermally at 607.4 K from 5.60 atm to 8.90 atm. If the process is carried out in two irreversible steps (intermediate step at P = 7.00 atm) , calculate the following.ΔS


A) 0 J/K
B) -3.85 J/K
C) 3.85 J/K
D) -2.34 J/K
E) 2.34 J/K

F) C) and E)
G) None of the above

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A gas expands isothermally and irreversibly. -ΔG is


A) More information is needed.
B) less than zero.
C) greater than zero.
D) equal to zero.

E) A) and D)
F) B) and D)

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The process H2O(g) → H2O(l) takes place at 1 atm and 95°C. -6.00 mol of a monatomic ideal gas is cooled from 254°C to 24°C at constant volume. Calculate ΔS.


A) -31.1 J/K
B) -42.9 J/K
C) -1.77 × 102 J/K
D) -18.6 J/K
E) -71.5 J/K

F) A) and E)
G) A) and C)

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One mole of an ideal gas expands isothermally and reversibly at 0°C. The pressure on 1 mol of an ideal monatomic gas changes from 100.0 atm to 1.00 atm. -Calculate q.


A) -225 kJ
B) 0
C) -10.5 kJ
D) 10.5 kJ
E) 225 kJ

F) A) and E)
G) D) and E)

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Given that S° = 131 J/Kmol for H2(g) , estimate the value of ΔS° for the reaction Given that S° = 131 J/Kmol for H<sub>2</sub>(g) , estimate the value of ΔS° for the reaction   A)  0 B)  131 J/K C)  -131 J/K D)  262 J/K E)  -262 J/K


A) 0
B) 131 J/K
C) -131 J/K
D) 262 J/K
E) -262 J/K

F) C) and D)
G) B) and D)

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The standard free energy of formation of nitric oxide, NO, at 1000. K (roughly the temperature in an automobile engine during ignition) is 78 kJ/mol. Calculate the equilibrium constant for the reaction N2(g) + O2(g) The standard free energy of formation of nitric oxide, NO, at 1000. K (roughly the temperature in an automobile engine during ignition)  is 78 kJ/mol. Calculate the equilibrium constant for the reaction N<sub>2</sub>(g)  + O<sub>2</sub>(g)   2NO(g)  At 1000. K. A)  4.3 × 10<sup>-10</sup> B)  8.4 × 10<sup>-5</sup> C)  0.99 D)  1.8 × 10<sup>-19</sup> E)  7.1 × 10<sup>-9</sup>2NO(g) At 1000. K.


A) 4.3 × 10-10
B) 8.4 × 10-5
C) 0.99
D) 1.8 × 10-19
E) 7.1 × 10-9

F) A) and E)
G) C) and D)

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At 699 K, ΔG° = -23.25 kJ for the reaction H2(g) + I2(g) At 699 K, ΔG° = -23.25 kJ for the reaction H<sub>2</sub>(g)  + I<sub>2</sub>(g)    2HI(g) . Calculate ΔG for this reaction if the reagents are both supplied at 10.0 atm pressure and the product is at 1.00 atm pressure. A)  +50.0 kJ B)  +36.6 kJ C)  -36.6 kJ D)  -3.5 kJ E)  -50.0 kJ 2HI(g) . Calculate ΔG for this reaction if the reagents are both supplied at 10.0 atm pressure and the product is at 1.00 atm pressure.


A) +50.0 kJ
B) +36.6 kJ
C) -36.6 kJ
D) -3.5 kJ
E) -50.0 kJ

F) D) and E)
G) A) and E)

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In which reaction is ΔS° expected to be positive?


A) H2O(1) →H2O(s)
B) 2O2(g) + 2SO(g) → 2SO3(g)
C) CH3OH(g) + (3/2) O2(g) → CO2(g) + 2H2O(l)
D) I2(g) → I2(s)
E) none of these

F) C) and E)
G) D) and E)

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A gas expands isothermally and irreversibly. -ΔS is


A) less than zero.
B) More information is needed.
C) greater than zero.
D) equal to zero.

E) A) and D)
F) A) and C)

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