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Calculate a) \( \Delta G^{\ominus} \) and b) the equilibrium constant for the formation of \( \mathrm{NO}_{2} \) from NO and \( \mathrm{O}_{2} \) at \( 298 \mathrm{~K} \)
\[
\mathrm{NO}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{NO}_{2}(\mathrm{~g})
\]
\( \mathrm{P} \)
where
W
\( \Delta_{\mathrm{f}} G^{\ominus}\left(\mathrm{NO}_{2}\right)=52.0 \mathrm{~kJ} / \mathrm{mol} \)
\( \Delta_{\mathrm{f}} G^{\ominus}(\mathrm{NO})=87.0 \mathrm{~kJ} / \mathrm{mol} \)
\( \Delta_{\mathrm{f}} G^{\ominus}\left(\mathrm{O}_{2}\right)=0 \mathrm{~kJ} / \mathrm{mol} \)
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