Question: A permeable membrane separates two compartments of a rectangular chamber. Both compartments have a width of 0.5 m and have an identical cross-sectional area. The
A permeable membrane separates two compartments of a rectangular chamber. Both compartments have a width of 0.5 m and have an identical cross-sectional area. The first compartment comprises water while the second compartment is filled with an organic solution. The liquids in either compartment do not interact with one another. The wall of the first compartment is coated with species A that leaches into the water. The effective concentration of species A at the wall is 2 mol m-3 and the diffusivity of species A in water is estimated to be 0.5 x 104 m7 sec-1. Species A migrates through the membrane at the rate of 0.001 mol m-2 sec- and continues to transit through the organic liquid, wherein it undergoes a first order reaction. The diffusivity of species A in the second compartment is estimated to be 6 x 10-3 m2 sec-1 and the reaction rate constant is 2 x 10-2 sec-1. If A is sparingly soluble in both liquids and its penetration depth into the second compartment is very small, what is the difference between the concentrations at the midway points of both compartments?
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