(Integrates with Chapter \(3 .)\) The standard free energy change \(\left(\Delta
G^{\circ \prime}\right)\) for hydrolysis of fructose- 1,6 -bisphosphate (FBP)
to fructose6-phosphate (F-6-P) and \(\mathrm{P}_{\mathrm{i}}\) is \(-16.7
\mathrm{kJ} / \mathrm{mol}\)
\\[
\mathrm{FBP}+\mathrm{H}_{2} \mathrm{O} \longrightarrow \text { fructose- }
6-\mathrm{P}+\mathrm{P}_{\mathrm{i}}
\\]
The standard free energy change \(\left(\Delta G^{\circ \prime}\right)\) for ATP
hydrolysis is \(-30.5 \mathrm{kJ} / \mathrm{mol}\)
\\[
\mathrm{ATP}+\mathrm{H}_{2} \mathrm{O} \longrightarrow
\mathrm{ADP}+\mathrm{P}_{\mathrm{i}}
\\]
a. What is the standard free energy change for the phosphofructokinase
reaction:
\\[
\text { ATP + fructose- } 6 \text { -P } \longrightarrow
\mathrm{ADP}+\mathrm{FBP}
\\]
b. What is the equilibrium constant for this reaction?
c. Assuming the intracellular concentrations of [ATP] and [ADP] are maintained
constant at \(4 \mathrm{m}\) Mand \(1.6 \mathrm{m} M\), respectively, in a rat
liver cell, what will be the ratio of [FBP]/[fructose-6-P] when the
phosphofructokinase reaction reaches equilibrium?