Consider a phospholipid bilayer membrane consisting of a mixture of 90% uncharged lipid and 10% singly charged acid lipid. Assume 68 Ć
Ā² surface area per lipid head group and assume that the charged lipids are uniformly distributed. The membrane is in contact with an aqueous solution of NaCl at 25Ā°C. Salt concentration is 100 mM.
a. Calculate the area charge density of the membrane.
b. Calculate the surface potential of the membrane.
c. Derive the charge density in the liquid as a function of the distance to the planar membrane.