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General Principles and processes of Isolation of Elements
easy
The incorrect expression among the following is:
A
$\frac{\Delta \mathrm{G}_{\text {System }}}{\Delta \mathrm{S}_{\text {Total }}}=-\mathrm{T}($ at constant $\mathrm{P})$
B
$\ln \mathrm{K}=\frac{\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}}{\mathrm{RT}}$
C
$\mathrm{K}=\mathrm{e}^{-\Delta \mathrm{G}^{\circ} / \mathrm{RT}}$
D
For isothermal process $\mathrm{w}_{\text {revesible }}=-\mathrm{nRT} \ln \frac{\mathrm{V}_{f}}{\mathrm{~V}_{i}}$
(JEE MAIN-2021)
Solution
$\Delta \mathrm{G}^{\circ}=-\mathrm{RT} \ell \mathrm{n} \mathrm{K}$
$\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}=-\mathrm{RT} \ell \mathrm{n} \mathrm{K}$
$\ell \mathrm{nK}=-\left[\frac{\Delta \mathrm{H}^{\circ}-\Delta \mathrm{S}^{\circ}}{\mathrm{RT}}\right]$
Standard 12
Chemistry
