Question: Species A diffuses through a slab of solid species B that extends from z = through an adjoining slab of solid species that extends from

 Species A diffuses through a slab of solid species B that

Species A diffuses through a slab of solid species B that extends from z = through an adjoining slab of solid species that extends from z = 0 to z= d. The species A concentration in the solids is Caat z = -b and 0 at z=d. Species A does not react as it diffuses, the process is one-dimensional and occurs at steady state, and diffusivities are constant. At the interface of the solids (at z = 0), equilibrium can be assumed such that the species A concentrations in the two solids are related by a partition coefficient, H (that is, H Cao+ = Caos where Cart is the concentration on the species D side of the interface and Co- is the concentration on the species B side of the interface). Making reasonable assumptions for diffusion of a soluble species in a solid, develop an expression for the molar flux of species A through the solids. (30 points) Note that the species A concentrations at the solid interface (Cao+ and Cao.) should not appear in the flux expression. Rather, determine these interfacial concentrations in terms of the concentration CA and other system parameters. (30 points) The behavior of this process is governed by the following dimensionless parameter. Explain the physical significance of this parameter. (10 points) b DAD dH DAB Specify the range of possible values that this dimensionless parameter can take. Also note the associated concentrations at the solid interface (CAo+ and Co.) and the species A molar flux for the limits (highest and lowest values) of this parameter. Explain why these limiting values of the interface concentrations and species A molar flux are reasonable based on the physical meaning of the dimensionless parameter. (15 points) A sample concentration profile is included. Identify all key features of the profile and determine as much quantitative information as possible for this particular situation. (15 points)

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