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When \( \alpha \)-D-glucose is dissolved in water, it undergoes a partial conversion to \( \beta \)-D-glucose. This conversion is called mutarotation and it stops when \( 64.0 \% \) of the glucose is in the \( \beta \)-form. Assuming that equilibrium has been attained, what is \( \Delta G^{\circ} \) for the reaction \( \alpha \)-D-glucose \( \rightleftharpoons \beta \)-Dglucose, at this experimental temperature?
(a) \( -R T \log _{10}(1.6) \)
(b) \( -R T \log _{10}(1.78) \)
(c) \( -R T \log _{\mathrm{e}}(1.78) \)
(d) \( -R T \log _{\mathrm{e}}(1.6) \)
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