Chemical EquilibriumHard

Question

When α-D-glucose is dissolved in water, it undergoes a partial conversion to β-D-glucose. This conversion is called mutarotation and it stops when 64.0% of the glucose is in the β-form. Assuming that equilibrium has been attained, what is ΔGo for the reaction α-D-glucose$\rightleftharpoons$β-D-glucose, at this experimental temperature?

Options

A.– RT log10(1.6)
B.– RT log10(1.78)
C.– RT loge(1.78)
D.– RT loge(1.6)

Solution

$\Delta G^{o} = - RT.\ln\frac{\lbrack B\rbrack}{\lbrack\alpha\rbrack} = - RT.\ln\frac{64}{36} = - RT.\ln(1.78)$

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