Consider a protein sphere with a radius of 18 Angstroms and charge Q= -10e in an aqueous solution of c(infinity) = 0.05M Nacl at 25 degree centigrade.we assume that small ions as point charges and use linear approximation of poisson boltzmann equation.
a) derive the expression for potential v(r) of the charged sphere.
b) what is the surface potential of the protein in units KbT/e
c) What is the concentration of sodium and chloride ions at surface of protein.
d) what is the concentration of sodium and chloride ions at a distance 3 angstroms from protein surface.