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[Mass transfer subject] A thin sheet of plastic material initially has a uniform dilute solute concentration C AI .

[Mass transfer subject]


A thin sheet of plastic material initially has a uniform dilute solute concentration CAI. At t > 0, the left boundary (x=0) is maintained at zero solute concentration and at the right boundary (x=L) there is no flux boundary condition (dCA/dx = 0). Using the separation of variables method, derive an analytical solution for solute concentration CA, in the film in term of x and t, using the given initial and boundary conditions showing all key steps in the derivation. You may present your final solution in the nondimensionalized form. Hint: separation of variables. Solution should not include and Bessel function.

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