Question

The incorrect expression among the following is:


(JEE Main 2021)

• A. $K=e^{-\Delta G^o/RT}$
• B. $lnK=\frac{\Delta H^o-T\Delta S^o}{RT}$
• C. For isothermal process $w_{reversible}=-nRTln\frac{V_f}{V_i}$
• D. $\frac{\Delta G_{system}}{\Delta S_{Total}}=-T_{\left(atconstantP\right)}$

Answer 1

The correct option is B $lnK=\frac{\Delta H^o-T\Delta S^o}{RT}$

$W_{rev}=-nRTln\left(\frac{V_f}{V_i}\right)$
So, option (a) is the correct expression

$\Delta G_{sys}=-T\Delta S_{Total}\left(atconstantP\right)$
So, option (b) is the correct expression

$\Delta G^o=\Delta H^o-T\Delta S^o$

$-RTlnK=\Delta H^o-T\Delta S^o$

$lnK=\frac{\Delta H^o-T\Delta S^o}{-RT}$
So, option (c) is the incorrect expression
$lnK=\frac{T\Delta S^o-\Delta H^o}{RT}$

$\Delta G^o=-RTlnK$

$\frac{\Delta G^o}{-RT}=lnK$

$\Rightarrow K=e^{-\frac{\Delta G^o}{RT}}$
So, option (d) is the correct expression