Suppose the concentration of protons inside a cell membrane is Cin and similarly the concentration outside is Cout. Assume the electrostatic potential difference is ?f = fout - fin.
a. Obtain an expression for the electrochemical potential difference outin ?µ= Mout - µin in terms of the pH difference and the electrostatic potential difference ?f.
b. Suppose the pH inside the inner mitochondrial membrane is 0.75 units higher than outside the membrane and ?f = fout - fin = -0.168V. Calculate the electrochemical potential difference between protons inside versus outside the membrane.