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For the reaction: \( 4 \mathrm{Al}(\mathrm{s})+3 \mathrm{O}_{2}(\mathrm{~g})+6 \mathrm{H}_{2} \mathrm{O}(1)+ \) \( 4 \mathrm{OH}^{-}(\mathrm{aq}) \rightleftharpoons 4 \mathrm{Al}(\mathrm{OH})_{4}{ }^{-}(\mathrm{aq}) ; E_{\text {cell }}^{\circ}=2.5 \mathrm{~V} \). If \( \Delta_{\mathrm{f}} G^{\mathrm{o}} \)
for \( \mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \) and \( \mathrm{OH}^{-}(\mathrm{aq}) \) are \( -280.0 \) and \( -156.25 \) \( \mathrm{kJ} / \mathrm{mol} \), respectively, the magnitude of \( \Delta_{\mathrm{f}} G^{\text {o }} \) for \( \mathrm{Al}(\mathrm{OH})_{4}{ }^{-}(\mathrm{aq}) \) (in \( \left.\mathrm{kJ} / \mathrm{mol}\right) \) is
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