2. Consider a one-dimensional system with concentration of chemical species A that varies with z. You can think of a thin membrane that is uniform in the x - and y-directions but separates two reservoirs with different concentrations of A in the z direction. Assume the membrane is L=1cm thick, with the concentration varying from z=0 to z=1cm. Assume the diffusion coefficient of A is D=1cm2/s. Calculate Jz and cA/t as a function of z using Fick's laws for each of the following concentration profiles. Obtain the analytical results and plot the concentration profiles, Jz, and cA/t. (a) cA(z)=c0(1Lz) (b) cA(z)=c0(1Lz)1/2 Now consider an infinite domain