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4. A long cylinder of porous clay, initially having a uniform concentration of Cao, is suddenly inserted into an air stream that has a water content of Cac. If the radius of the cylinder is ro and the average mass-transfer coefficient from the cylinder into the air stream is kc, show by means of dimensional analysis that the concentration profile within the cylinder can be expressed in terms of the parameters. (20%) CACAO r D AB and CAO-CA Po DABE 9 2 kro ro