Question
At $298 \mathrm{~K} . \mathrm{K}_{\mathrm{p}}$ for the reaction $\text{N}_2\text{O}_4(\text{g})\rightleftharpoons2\text{NO}_2(\text{g})\ \text{is}\ 0.98.$ Predict whether the reaction is spontaneous or not.

Answer

$\Delta_\text{r}\text{G}^\circ=-\text{RT}\ \text{In}\ \text{K}_\text{p}$$=-\text{RT}\ \text{In}\ (0.98)$
Since In (0.98) is negative
$\therefore\Delta_\text{r}\text{G}^\circ$ is positive
$\Rightarrow$ the reaction is non spontaneous

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