Importance of solubility in diffusion.

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A composite made of two membranes 1 and 2 separates two solutions S1 and S2, which contain the same solute A, but different solvents. The thicknesses of membranes 1 and 2 are, respectively, 0.01 and 0.02 cm, and the concentration value of the solutions is maintained at C_A,S1 = 0.2 mol/L and C_A,S2 = 0.4 mol/L. The equilibrium relationships of solute A between solution 1 and the membrane 1 is C_A,S1 = 0.1 C_A,1 ; between solution 2 and membrane 2 is C_A,S2 = 2 C_A,2 ; and between two membranes C_A,1 = 0.971 C_A,2 , CA,1 and CA,2 represent the concentrations of solute A in membranes 1 and 2 respectively. Assuming steady state and no resistance to mass transfer between solutions and membranes, answer:

a. What is the direction of flow of A: from solution S1 to solution S2, or from solution S2 to solution S2? S1? Justify your answer. b. Derive the equations of the concentration profile in each of the membranes. c. Derive the equation that describes the diffusive flux through the composite. d. Calculate the magnitude of the diffusive flux of A.

1 2 CA.si = 0.2 mol/L CA.s2 = 0.4 mol/L