Chapter 16, Problem 75QAP

When glucose, C₆H₁₂O₁₁, is metabolized to CO₂ and H₂O in living systems, the first step is the conversion of glucose to glucose-6-phosphate.
$\text{glucose}+{\text{H}}_{\text{3}}{\text{PO}}_{\text{4}}\to \text{glucose-6-phosphate}+{\text{H}}_{\text{2}}\text{O}$ $\Delta G°=13.4\text{kJ}$
This nonspontaneous reaction can be made to proceed by coupling it with the hydrolysis of ATP.
$\text{ATP}+{\text{H}}_2\text{O}\to \text{ADP}+{\text{H}}_3{\text{PO}}_4$ $\Delta G°=-31.0\text{kJ}$
(a) Write an equation for the coupled reaction and calculate ΔG°.
(b) Estimate the number of moles of ATP required to convert glucose to glucose-6-phosphate.