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Problem 79

Consider the reaction: $$\mathrm{H}_{2}(g)+\mathrm{I}_{2}(g) \rightleftharpoons 2 \mathrm{HI}(g)$$ The following data show the equilibrium constant for this reaction measured at several different temperatures. Use the data to find $\Delta H_{\text { rxn }}^{\circ}$ and $\Delta S_{\text { ren }}^{\circ}$ for the reaction. $$\begin{array}{|c|c|}\hline Temperature & {K_{\mathrm{p}}} \\ \hline 150 \mathrm{K} & {1.4 \times 10^{-4}} \\ \hline 175 \mathrm{K} & {4.6 \times 10^{-4}} \\ \hline 200 \mathrm{K} & {3.6 \times 10^{-2}} \\ \hline 225\mathrm{K} & {11} \\ \hline 250\mathrm{K} & {15.5} \\ \hline\end{array}$$

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