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Q.

The equilibrium constant of the reaction $A (g) ⇌ B (g) + C (g)$ is related to its ${ΔH}^{\circ}$ and ${ΔS}^{\circ}$ at temperature T by the expression

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a

$\begin{aligned} Δ H - T Δ S^{\circ} = - R T \ln K_{p} \end{aligned}$

b

$\begin{aligned} Δ H^{\circ} - T Δ S^{\circ} = + R T \ln K_{p}^{\circ} \end{aligned}$

c

$\begin{aligned} Δ H^{\circ} = - R T \ln K_{p}^{\circ} \end{aligned}$

d

$\begin{aligned} Δ H^{\circ} + T Δ S^{\circ} = - R T \ln K_{p} \end{aligned}$

answer is B.

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Detailed Solution

For a reaction at equilibrium ${ΔG}^{\circ} = - RTln K_{p}$ where

${ΔG}^{\circ} = {ΔH}^{\circ} - {TΔS}^{\circ} ∆ H - T ∆ S ° = - {RTlnK}_{p}$

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