KCET · Chemistry · Thermodynamics (C)

For the reversible reaction, \(A(s)+B(g) \rightleftharpoons\) \(C(g)+D(g), \Delta G^{\circ}=-350 \mathrm{~kJ}\), which one of the following statements is true?

A The reaction is thermodynamically non-feasible
B The entropy change is negative
C Equilibrium constant is greater than one
D The reaction should be instantaneous

Verified Solution

Answer & Solution

Correct Answer

(C) Equilibrium constant is greater than one

Step-by-step Solution

Detailed explanation

\(A(s)+B(g) \rightleftharpoons C(g)+D(g), \Delta G^{\circ}=-350 \mathrm{~kJ}\) Relationship between \(\Delta G^{\circ}\) and equilibrium constant is
\[
\Delta G^{\circ}=-2.303 R T \log K_{p}
\]
When \(K_{p}>1 ; \Delta G^{\circ}\) is negative.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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