Suppose a cell is suspended in a solution containing a solute of constant concentration...

Suppose a cell is suspended in a solution containing a solute of constant concentration C_s. Suppose further that the cell has constant volume V and that the area of its permeable membrane is the constant A. By Fick’s law the rate of change of its mass m is directly proportional to the area A and the difference Cs − C(t), where C(t) is the concentration of the solute inside the cell at time t. Find C(t) if m = V·C(t) and C(0) = C₀. See