JEE Advanced · Chemistry · 6. Thermodynamics (C)

For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant $K$ in terms of change in entropy is described by:

A with increase in temperature, the value of $K$ for exothermic reaction decreases because the entropy change of the system is positive.
B with increase in temperature, the value of $K$ for endothermic reaction increases because unfavourable change in entropy of the surroundings decreases.
C with increase in temperature, the value of $K$ for exothermic reaction decreases because favourable change in entropy of the surroundings decreases.
D with increase in temperature, the value of $K$ for endothermic reaction increases because the entropy change of the system is negative.

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Answer & Solution

Correct Answer

(C) with increase in temperature, the value of $K$ for exothermic reaction decreases because favourable change in entropy of the surroundings decreases.

Step-by-step Solution

Detailed explanation

{ΔS}_{surrounding} = \frac{- q_{process}}{T_{surrounding}}

ΔH > 0

, on increasing temperature,

K_{equilibrium}

also increase, so

{ΔS}_{surrounding} < 0

(Surrounding is unfavourable).

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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For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant K in terms of change in entropy is described by:

Step-by-step Solution

For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant $K$ in terms of change in entropy is described by: