KCET · Chemistry · Chemical Equilibrium

At \(500 \mathrm{~K}\), for a reversible reaction \(A_2(g)+B_2(g) \rightleftharpoons 2 A B(g)\) in a closed container, \(K_C=2 \times 10^{-5}\). In the presence of catalyst, the equilibrium is attaining 10 times faster. The equilibrium constant \(K_C\) in the presence of catalyst at the same temperature is

A \(2 \times 10^{-4}\)
B \(2 \times 10^{-6}\)
C \(2 \times 10^{-10}\)
D \(2 \times 10^{-5}\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(2 \times 10^{-5}\)

Step-by-step Solution

Detailed explanation

The value of the \(K_C\) remains same as catalyst
does not affects the \(K_C\). Only temperature can alter the value of the \(K_C\) of a given reaction. Thus, the equilibrium constant \(K_C\) in the presence of catalyst at the same temperature is \(2 \times 10^{-5}\).

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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