The incorrect expression among the following is:

Question:

The incorrect expression among the following is:

  1. $\frac{\Delta \mathrm{G}_{\text {System }}}{\Delta \mathrm{S}_{\text {Total }}}=-\mathrm{T}($ at constant $\mathrm{P})$

  2. $\ln \mathrm{K}=\frac{\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}}{\mathrm{RT}}$

  3. $\mathrm{K}=\mathrm{e}^{-\Delta \mathrm{G}^{\circ} / \mathrm{RT}}$

  4. For isothermal process $\mathrm{w}_{\text {reversible }}=-\mathrm{nRT} \ln \frac{\mathrm{V}_{f}}{\mathrm{~V}_{i}}$


Correct Option: , 2

Solution:

Option (2) is incorrect

$\Delta G^{\circ}=-R T \ell n K$

$\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}=-\mathrm{RT} \ell \mathrm{n} \mathrm{K}$

$\ell \mathrm{nK}=-\left[\frac{\Delta \mathrm{H}^{\circ}-\Delta \mathrm{S}^{\circ}}{\mathrm{RT}}\right]$

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