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Problem 81

The change in enthalpy $\left(\Delta H_{\mathrm{r…

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Problem 80

Consider the reaction:
$$2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{NO}_{2}(g)$$
The following data show the equilibrium constant for this reaction measured at several different temperatures. Use the data to find $\Delta H_{\mathrm{rxn}}^{\circ}$ and $\Delta S_{\mathrm{rxn}}^{\circ}$ for the reaction.
$$\begin{array}{|c|c|}\hline Temperature & {K_{\mathrm{p}}} \\ \hline 170\mathrm{K} & {3.8 \times 10^{-3}} \\ \hline 180\mathrm{K} & {0.34} \\ \hline 190\mathrm{K} & {18.4} \\ \hline 200\mathrm{K} & {681} \\ \hline\end{array}$$

Answer

$\Delta H^{\circ}=114 \mathrm{kJ} / \mathrm{mol}$ and $\Delta S^{\circ}=624 \mathrm{J} / \mathrm{mol} \cdot \mathrm{K}$


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