Question
Calculate the standard Gibbs energy of formation of $\mathrm{NO}_{3}^{-}(\text {ao })$ from its $\Delta_{\mathrm{f}} H^{\circ}$ and $\bar{S}^{\circ}$ values at $25^{\circ} \mathrm{C}$ using data from Table C.2.
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Step 1: Recall the formula for standard Gibbs energy of formation: ΔGf° = ΔHf° - TΔS° Show more…
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The standard Gibbs free energy of formation is $$ -286.06 \mathrm{~kJ} / \mathrm{mol} \text { for } \mathrm{NaI}(\mathrm{s}),-261.90 \mathrm{~kJ} / \mathrm{mol} \text { for } \mathrm{Na}^{+}(\text {aq }) $$ and $-51.57 \mathrm{~kJ} / \mathrm{mol}$ for $\mathrm{I}^{-}(\mathrm{aq})$ at $25^{\circ} \mathrm{C}$. Calculate $\Delta G^{0}$ for the reaction $$ \mathrm{NaI}(\mathrm{s}) \stackrel{\mathrm{H}_{2} \mathrm{O}}{\longrightarrow} \mathrm{Na}^{+}(\mathrm{aq})+\mathrm{I}^{-}(\mathrm{aq}) $$
Using values of $\Delta_{f} H^{\circ}$ and $S^{\circ},$ calculate the standard molar free energy of formation, $\Delta_{f} G^{\circ},$ for each of the following: (a) $\mathrm{Ca}(\mathrm{OH})_{2}(\mathrm{s})$ (b) $\mathrm{Cl}(\mathrm{g})$ (c) $\mathrm{Na}_{2} \mathrm{CO}_{3}(\mathrm{s})$ Compare your calculated values of $\Delta_{f} G^{\circ}$ with those listed in Appendix L. Which of these formation reactions are predicted to be product-favored at equilibrium at $25^{\circ} \mathrm{C} ?$ Ee Energy of Formation
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