### Nitrogen dioxide, a pollutant in the atmosphere, …

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Problem 85

Our atmosphere is composed primarily of nitrogen and oxygen,
which coexist at $25^{\circ} \mathrm{C}$ without reacting to any significant
extent. However, the two gases can react to form nitrogen
monoxide according to the reaction:
$$\mathrm{N}_{2}(g)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{NO}(g)$$
\begin{equation}\begin{array}{l}{\text { a. Calculate } \Delta G^{\circ} \text { and } K_{\mathrm{p}} \text { for this reaction at } 298 \mathrm{K} \text { . Is the }} \\ {\text { reaction spontaneous? }} \\ {\text { b. Estimate } \Delta G^{\circ} \text { at } 2000 \mathrm{K} \text { . Does the reaction become more }} \\ {\text { spontaneous as temperature increases? }}\end{array}\end{equation}

PART $\mathrm{A} : \Delta G^{\circ}=175.2 \mathrm{kJ}$ and $K_{p}=1.95 \times 10^{-31}$
PART $\mathrm{B} : \Delta G^{\circ}=133.0 \mathrm{kJ}$

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