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Problem 101

From the following reaction and data, find (a) $S…

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University of New Mexico

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Problem 100

Energy from ATP hydrolysis drives many nonspontaneous cell reactions:
$$\begin{array}{r}{\mathrm{ATP}^{4-}(a q)+\mathrm{H}_{2} \mathrm{O}(l) \rightleftharpoons \mathrm{ADP}^{3-}(a q)+\mathrm{HPO}_{4}^{2-}(a q)+\mathrm{H}^{+}(a q)} \\ {\Delta G^{\circ \prime}=-30.5 \mathrm{kJ}}\end{array}$$
Energy for the reverse process comes ultimately from glucose metabolism:
$$ \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(s)+6 \mathrm{O}_{2}(g) \longrightarrow 6 \mathrm{CO}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(l) $$
(a) Find $K$ for the hydrolysis of ATP at $37^{\circ} \mathrm{C}$ .
(b) Find $\Delta G_{\text { rxn }}^{\circ \prime}$ for metabolism of 1 mol of glucose.
(c) How many moles of ATP can be produced by metabolism of 1 mol of glucose?
(d) If 36 $\mathrm{mol}$ of ATP is formed, what is the actual yield?

Answer
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Chapter 20
Thermodynamics: Entropy, Free Energy, and the Direction of Chemical Reactions
CHEMISTRY: The Molecular Nature of Matter and Change 2016

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