Consider an uncharged membrane of thickness \(100 \mu \mathrm{m}\) with concentrations of \(1 \mathrm{M} \mathrm{HCl}\) on one side and \(0.1 \mathrm{M} \mathrm{HCl}\) on the other side. Assume that \(\mathrm{HCl}\) is completely ionized.

(a) Find the flux of \(\mathrm{HCl}\) in the system.

(b) Find the diffusion potential generated in the system.

(c) Which side of the membrane is at a higher potential? Explain your answer in terms of the physics of the system.

(d) Find the diffusion flux and migration flux of \(\mathrm{Cl}^{-}\)and \(\mathrm{H}^{+}\)ions and tabulate them. Comment on the results.