Chapter 10, Problem 5P

In the following situations, what is the free energy change if 1 mole of ${\text{Na}}^{+}$ is transported across a membrane from a region where the concentrations is 1 $\text{μ}$ m to a region where it is 100 mM? (Assume T=37⁰C.)
a. In the absence of a membrane potential.
b. When the transport is opposed by a membrane potential of 70 mV.
c. In each case, will hydrolysis of 1 mole of ATP suffice to drive the transport of 1 mole of ion, assuming pH 7.4 and the following cytoplasmic concentrations: ATP =4.60 mM, P_i = 5.10 mM, ADP = 310 $\text{μ}$ m?