Consider a batch gel layer controlling cross flow ultrafiltration unit where the permeate is not recycled. The feed is concentrated and the feed volume is reduced as time of operation progresses. Assume film theory is valid in the cross flow ultrafiltration unit. The mass transfer coefficient in the ultrafiltration is 210-5 m/s, initial feed concentration is 1 kg/m3 . Effective filtration area of the membrane is 0.2 m2. Gel layer concentration of the solute is 500 kg/m3 . Initial feed is 5 Liters. Assume that in the permeate, there is no solute present and always the retentate concentration is much less than gel concentration (Cb<