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hw16asol-dist - CBE 320 Transport Phenomena Solutions...

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CBE 320 December 14, 2009 Transport Phenomena Problem Session XVI Part A: Mass Transport 1. Catalytic polymerization In one common class of polymerization processes, monomer is converted to solid polymer on the surface of a catalyst particle. As the polymer is produced, it forms a porous layer around the catalyst particle. The monomer must therefore diffuse through the solid polymer layer before reacting at the catalyst particle surface. The situation is depicted in the figure below for a spherical catalyst particle, where the monomer is species A . The catalyst particle has a radius R . The porous polymer coating has thickness t . The concen- tration of species A at the outer edge of the coating is c A 0 . The transport of species A in the porous polymer is described by a constant effective diffusivity D A , N A = −D A c A . We can assume that (1) the reaction at the catalyst surface is infinitely fast, (2) the thickness t
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