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On page $430,$ we showed that a reaction, $A \rightleftharpoons B,$ with a $\Delta G^{\prime}=+13 \mathrm{kJ}$ $\mathrm{mol}^{-1}\left(+4.0 \mathrm{kcal} \mathrm{mo...

Question

On page $430,$ we showed that a reaction, $A \rightleftharpoons B,$ with a $\Delta G^{\prime}=+13 \mathrm{kJ}$ $\mathrm{mol}^{-1}\left(+4.0 \mathrm{kcal} \mathrm{mol}^{-1}\right)$ has an $\mathrm{K}_{\mathrm{eq}}$ of $1.15 \times 10^{-3} .$ The $K_{\mathrm{eq}}$ is increased to $2.67 \times 10^{2}$ if the reaction is coupled to ATP hydrolysis under standard conditions. The ATP. generating system of cells maintains the [ATP]/[ADP][Pi] ratio at a high level, typically of the order of $500 \mathrm{

On page $430,$ we showed that a reaction, $A \rightleftharpoons B,$ with a $\Delta G^{\prime}=+13 \mathrm{kJ}$ $\mathrm{mol}^{-1}\left(+4.0 \mathrm{kcal} \mathrm{mol}^{-1}\right)$ has an $\mathrm{K}_{\mathrm{eq}}$ of $1.15 \times 10^{-3} .$ The $K_{\mathrm{eq}}$ is increased to $2.67 \times 10^{2}$ if the reaction is coupled to ATP hydrolysis under standard conditions. The ATP. generating system of cells maintains the [ATP]/[ADP][Pi] ratio at a high level, typically of the order of $500 \mathrm{M}^{-1}$ Calculate the ratio of $\mathrm{B} / \mathrm{A}$ under cellular conditions.



Answers

The standard free energy change for the hydrolysis of ATP was given in Problem 91. In a particular cell, the concentrations of ATP, ADP, and Pi are 0.0031 M, 0.0014 M, and 0.0048 M, respectively. Calculate the free energy change for the hydrolysis of ATP under these conditions. (Assume a temperature of 298 K.)


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