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AIPMT MAINS2009Physics-Thermodynamics

AIPMT MAINS 2009 Physics Gibbs Free Energy MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The values of ΔH and ΔS for the reaction, C(graphite) + CO₂ (g) → 2CO(g) are 170 kJ and 170 JK⁻¹, respectively. This reaction will be spontaneous at

A

910 K

B

1110 K

C

510 K

D

710 K

Correct Answer

Option D

Detailed Explanation

For a reaction to be spontaneous, ΔG = ΔH - TΔS < 0. Solving for T, we get T > ΔH/ΔS = 1000 K. Therefore, the reaction is spontaneous at 1110 K.

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