Chapter 17, Problem 17.36QP

In the metabolism of glucose, the first step is the conversion of glucose to glucose 6-phosphate:

$\begin{array}{l}\text{glucose}+{\text{H}}_{\text{3}}{\text{PO}}_{\text{4}}\to \text{glucose}6-\text{phosphate}+{\text{H}}_{\text{2}}\text{O}\\ \Delta G°=13.4\text{kJ/mol}\end{array}$

Because ΔG° is positive, this reaction does not favor the formation of products. Show how this reaction can be made to proceed by coupling it with the hydrolysis of ATP. Write an equation for the coupled reaction and estimate the equilibrium constant for the coupled process.