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This time-dependent partial differential equation relates the change in concentration at any point as a function of time to the change in the concentration gradient with respect to position. This important equation is the starting point for a large amount of literature in mass transfer that deals primarily with solving this equation subject to various initial and boundary conditions.

Although the simple one-dimensional problem is considered here, a more general three-dimensional statement of Fick's second law (Eq. 4.2) is

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