Synthesis of the activated form of acetate (acetyl-CoA) is carried out in an ATP-dependent process: $$\text { Acetate }+\mathrm{CoA}+\mathrm{ATP} \rightarrow \text { acetyl-CoA }+\mathrm{AMP}+\mathrm{PP}_{1}$$
(a) The $\Delta G^{\prime \circ}$ for hydrolysis of acetyl-CoA to acetate and $\mathrm{CoA}$ is $-32.2 \mathrm{kJ} / \mathrm{mol}$ and that for hydrolysis of ATP to AMP and PP $_{i}$ is -30.5 kJ/mol. Calculate $\Delta G^{\prime \circ}$ for the ATPdependent synthesis of acetyl-CoA.
(b) Almost all cells contain the enzyme inorganic pyrophosphatase, which catalyzes the hydrolysis of $\mathrm{PP}_{\mathrm{i}}$ to $\mathrm{P}_{\mathrm{i}}$. What effect does the presence of this enzyme have on the synthesis of acctyl-CoA? Explain.