Assessing proton transport and free energy change in bacterial ATP synthesis
Assume that the free energy change, ΔG, associated with the movement of one mole of protons from the outside to the inside of a bacterial cell is -23 kJ/mol and 3 H+ must cross the bacterial plasma membrane per ATP formed by the F1FoATP synthase. ATP synthesis thus takes place by the coupled process:
3 H+out + ADP + Pi3 H+in + ATP + H2O
a. If the overall free energy change (ΔGoverall) associated with ATP synthesis in these cells by the coupled process is -21 kJ/mol, what is the equilibrium constant, Keq, for the process?
b. What is ΔGsynthesis, the free energy change for ATP synthesis, in these bacteria under these conditions?
c. The standard free energy change for ATP hydrolysis is ΔGº’hydrolysis is -30.5 kJ/mol. If [Pi] = 2 mM in these bacterial cells, what is the [ATP]/[ADP] ratio in these cells?
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