. Chemical diffusion through a thin layer is governed by

Chapter 10, Problem 19E

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PROBLEM 19EChemical Diffusion. Chemical diffusion through a thin layer is governed by the equation where C(x, t) is the concentration in moles/cm3, the diffusivity k is a positive constant with units cm2/sec, and L > 0 is a consumption rate with units sec-1. Assume the boundary conditions are and the initial concentration is given by Use the method of separation of variables to solve formally for the concentration C(x, t). What happens to the concentration as

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