The relationship of free-energy change (?G) to the concentrations of reactants and products is important because it predicts the direction of spontaneous chemical reactions
In the hydrolysis of ATP to ADP and inorganic phosphate (Pi), the standard free-energy change (?G°) is –7.3 kcal/mole. The free-energy change depends on concentrations according to the following equation:
?G = ?G° + 1.42 log10 ([ADP] [Pi]/[ATP])
In a resting muscle, the concentrations of ATP, ADP, and Pi are approximately 0.005 M, 0.001 M, and 0.010 M, respectively. What is the ?G for ATP hydrolysis in resting muscle?
(a) –11.1 kcal/mole
(b) –8.72 kcal/mole
(c) 6.01 kcal/mole
(d) –5.88 kcal/mole
(a) The ?G for ATP hydrolysis is –11.1 kcal/mole. This result is calculated by substituting values into the equation given: ?G = –7.3 kcal/mole + 1.42 log10 ([0.001 M] [0.010 M]/[0.005 M]) = –7.3 kcal/mole + 1.42 log10 (0.002) = –11.1 kcal/mole.
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