Indicate and explain the sign of $\Delta S_{\text…

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Problem 98

Dinitrogen tetroxide decomposes to nitrogen dioxide: $$\mathrm{N}_{2} \mathrm{O}_{4}(g) \longrightarrow 2 \mathrm\ {NO}_{2}(g) \quad \Delta H_{\mathrm{rxn}}^{\mathrm{o}}=55.3 \mathrm{kJ}$$ At $298 \mathrm{K},$ a reaction vessel initially contains 0.100 atm of $\mathrm{N}_{2} \mathrm{O}_{4}$ . When equilibrium is reached, 58$\%$ of the $\mathrm{N}_{2} \mathrm{O}_{4}$ has decomposed to $\mathrm{NO}_{2} .$ What percentage of $\mathrm{N}_{2} \mathrm{O}_{4}$ decomposes at 388 $\mathrm{K}$ ? Assume that the initial pressure of $\mathrm{N}_{2} \mathrm{O}_{4}$ is the same $(0.100$ atm $) .$

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