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Question: Answered & Verified by Expert
The incorrect expression among the following is :
ChemistryThermodynamics (C)JEE MainJEE Main 2012 (Offline)
Options:
  • A
    $\frac{\Delta \mathrm{G}_{\text {system }}}{\Delta \mathrm{S}_{\text {total }}}=-T$
  • B
    In isothermal process $w_{\text {reversible }}=-n R T \ln \frac{V_f}{V_i}$
  • C
    $\ln \mathrm{K}=\frac{\Delta \mathrm{H}^0-\mathrm{T} \Delta \mathrm{S}^0}{\mathrm{RT}}$
  • D
    $\mathrm{K}=\mathrm{e}^{-\Delta \mathrm{G}^0 / \mathrm{RT}}$
Solution:
2966 Upvotes Verified Answer
The correct answer is:
$\ln \mathrm{K}=\frac{\Delta \mathrm{H}^0-\mathrm{T} \Delta \mathrm{S}^0}{\mathrm{RT}}$
$\Delta \mathrm{G}^{\circ}=-\mathrm{RT} \ln \mathrm{K}$ and $\Delta \mathrm{G}^0=\Delta \mathrm{H}^0-\mathrm{T} \Delta \mathrm{S}^0$

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