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Ch. 8 - Energy and Enzymes: An Introduction to Metabolism
Chapter 8, Problem 7

In Figure 8.10, the energetic coupling of substrate phosphorylation and an endergonic reaction are shown. If the hydrolysis of ATP releases 7.3 kcal of free energy, use the graph in this figure to estimate what you would expect the ∆G values to be for the uncoupled reaction and the two steps in the coupled reaction.

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Identify the free energy change (ΔG) for the uncoupled reaction. The graph shows that the endergonic reaction requires an energy input, which is approximately +3.4 kcal/mol.
Determine the free energy change (ΔG) for the hydrolysis of ATP. The hydrolysis of ATP releases 7.3 kcal/mol of free energy.
Calculate the free energy change (ΔG) for the first step of the coupled reaction (formation of BP). The energy released from ATP hydrolysis (7.3 kcal/mol) is used to form BP, which is an exergonic reaction. The ΔG for this step is approximately -3.9 kcal/mol (7.3 kcal/mol - 3.4 kcal/mol).
Calculate the free energy change (ΔG) for the second step of the coupled reaction (formation of AB). The formation of AB from BP is an exergonic reaction, releasing energy. The ΔG for this step is approximately -3.4 kcal/mol.
Summarize the ΔG values: Uncoupled reaction: +3.4 kcal/mol, Coupled reaction (first step): -3.9 kcal/mol, Coupled reaction (second step): -3.4 kcal/mol.

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