Air at a flow rate of 12,000 scfm (60?F, 1 atm) and containing 0.5 mol% ethyl acetate (EA) and no water vapor is to be treated with activated carbon (C) (?b = 30 lb/ft3) with an equivalent particle diameter of 0.01 1 ft in a fixed-bed adsorber to remove the ethyl acetate, which will be subsequently stripped from the carbon by steam at 230?F. Based on the following data, determine the diameter and height of the carbon bed, assuming adsorption at 100?F and 1 atm and a time-to-breakthrough of 8 h with a superficial gas velocity of 60 ft/min. If the bed height-to-diameter is unreasonable, what change in design basis would you suggest? Adsorption isotherm data (100?F) for EA:

Breakthrough data at 100?F and 1 atm for EA in air at a gas superficial velocity of 60 ft/min in a 2-ft dry bed:

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DEA, 9. Ib EAЛЬ С 0.125 pEA, atm 9. 1b ЕАЛЬ С atm 0.227 0.270 0.0002 0.0005 0.0010 0.0020 0.164 0.195 0.0050 0.0100 0.304