Consider the reversible reaction (written in terms of generic molecules A, B, and C): 2A(g) + B(g) ⇌ C(g) Use the following information (all given at 298.15 K) to answer the questions below: A(g): ∆G◦ f = −106.3 kJ/mol; ∆H◦f = −127.1 kJ/mol B(g): ∆G◦ f = −122.9 kJ/mol; ∆H◦f = −93.5 kJ/mol C(g): ∆G◦ f = −341.7 kJ/mol; ∆H◦f = −357.8 kJ/mol (a)  Find the equilibrium constant, K, for the given reaction at 298.15 K. [Di- mensionless, to three s.f.] (b)  Find the equilibrium constant, K, for the given reaction at 275 K. [Dimen- sionless, to three s.f.] [Assume that ∆H◦r is constant over the temperature range.] (c)  A cylinder of gas at 298.15 K contains a mixture of the three gases. If the reaction quotient is determined to be Q = 5.72, determine whether the forward or reverse reaction will proceed spontaneously

Chemistry & Chemical Reactivity
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Chapter18: Principles Of Chemical Reactivity: Entropy And Free Energy
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Consider the reversible reaction (written in terms of generic molecules
A, B, and C):
2A(g) + B(g) ⇌ C(g)
Use the following information (all given at 298.15 K) to answer the questions below:
A(g): ∆G◦
f = −106.3 kJ/mol; ∆H◦f = −127.1 kJ/mol
B(g): ∆G◦
f = −122.9 kJ/mol; ∆H◦f = −93.5 kJ/mol
C(g): ∆G◦
f = −341.7 kJ/mol; ∆H◦f = −357.8 kJ/mol
(a)  Find the equilibrium constant, K, for the given reaction at 298.15 K. [Di-
mensionless, to three s.f.]
(b)  Find the equilibrium constant, K, for the given reaction at 275 K. [Dimen-
sionless, to three s.f.] [Assume that ∆H◦r is constant over the temperature range.]
(c)  A cylinder of gas at 298.15 K contains a mixture of the three gases. If the
reaction quotient is determined to be Q = 5.72, determine whether the forward or reverse
reaction will proceed spontaneously. [Hint: find ∆μ for the forward reaction.]

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