Biomass present in a fermentation broth is to be separated by vacuum filtration. Filter and broth characteristics are given below. A = 50m^2 P= 0.01 N/m^2 C = 15 kg/m^3 = 0.003 kg/9m*s) = 2 m/kg a. If the rate of filtration has a constant value of dV/dt = 50 L/min, determine the cake and filter resistances at t = 30 min. b. Determine the filter surface area (A) required to filter 5000 L broth within 60 min with the same pressure drop across the filter