Penicillin is separated from fermentation broth by adsorption on an ion-exchange resin in a moving-bed column. The bed is 5 cm in diameter and contains 0.7 cm3 resin/cm3 bed. The density of the resin is 1.2 g/cm3, and the feed solution contains 8 g/l of the antibiotic. If the superficial velocity of liquid is 2 m/h and the overall mass transfer coefficient is 15h-1, determine the height of the column for an efficient antibiotic concentration of CL = 0.2 g/L. Assume an equilibrium relationship of CS = 25 (CL*)1/2, where CS is g solute/L resin and CL is g solute/L solution. The operational ratio of the volumetric flow rate of broth to resin is 10.
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