Question:
For a chemical reaction $\mathrm{A}+\mathrm{B} \rightleftharpoons \mathrm{C}+\mathrm{D}$ $\left(\Delta_{\mathrm{r}} \mathrm{H}^{0}=80 \mathrm{~kJ} \mathrm{~mol}^{-1}\right)$ the entropy change $\Delta_{\mathrm{r}} \mathrm{S}^{0}$ depends on the temperature $T$ (in $K$ ) as $\left(\Delta_{r} S^{0}=2 T\left(J K^{-1} \mathrm{~mol}^{-1}\right)\right.$
Minimum temperature at which it will become spontaneous is_______ K.(Integer)
Solution:
$\Delta \mathrm{G}^{0}=\Delta \mathrm{H}^{0}-\mathrm{T} \times \Delta \mathrm{S}^{0}$
$\Delta \mathrm{G}^{0}=\Delta \mathrm{H}^{0}-\mathrm{T} \times(2 \mathrm{~T})$
$T=200 K$