In a tangential flow ultrafiltration unit, a protein of MW = 3 x 105 Da is separated from the fermentation broth by a single tube filtration unit. The tube has diameter d = 2 cm and length L = 50 cm. The low rate of the system is Q = 2 L/min. The flow regime is turbulent, f=0.0005, and C4 = 2 [atm*s/cm]. The inlet pressure is P = 2 atm. The pressure gauge at the permeate outlet (P) is 1 atm Protein concentrations in the solution and in the gel film are CB = 30 mg/l and CG 100 g/l, respectively. a. Determine the exit pressure (Po). b. Determine the transmembrane pressure drop (Pm). c. If the mass transfer coefficient (k) for protein flux is k = 5 cm/s, determine the flux of liquid through the membrane (J). d. If the resistance of the filter is RM = 0.002 atm.cms/cm, determine the cake resistance, RG.