On page 262 a reaction, \(\mathrm{A} \rightleftharpoons \mathrm{B},\) with a
\(\Delta G^{\circ}=+16.7 \mathrm{kJ} \mathrm{mol}^{-1}\) \(\left(+4.0
\mathrm{kcal} \mathrm{mol}^{-1}\right)\) is shown to have a \(K_{e q}\) of \(1.15
\times 10^{-3}\). The \(K_{\text {eq }}\) is increased to \(2.67 \times 10^{2}\) if
the reaction is coupled to ATP hydrolysis under standard conditions. The
ATPgenerating system of cells maintains the \([\mathrm{ATP}]
/[\mathrm{ADP}]\left[\mathrm{P}_{\mathrm{i}}\right]\) ratio at a high level,
typically of the order of \(500 \mathrm{M}^{-1}\). Calculate the ratio of B/A
under cellular conditions.