Suppose a cell is suspended in a solution containing a

Chapter 3, Problem 3.1.109

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Suppose a cell is suspended in a solution containing a solute of constant concentration Cs. Suppose further that the cell has constant volume V and that the area of its permeable membrane is the constant A.By Ficks 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 VC(t) and C(0) C0. See Figure 3.R.1. 1

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