Suppose a cell is suspended in a solution containing a solute of constant concentration C_s. Suppose further thatthe cell has constant volume V and that the area of its permeable membrane is the constant A. By Fick€™s lawthe rate of change of its massm is directly proportional tothe area A and the difference C_s- 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 the following figure.

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concentration concentration C() C, molecules of solute diffusing through cell membrane