a (20 Points) A centrifugal pump with pressure increase p2 - pi= a-bQ2 atm, where a and b are known constants, pumping a slurry into a plate-and-frame filter. The filter has a cross-sectional area A cm2, cake permeability, K (darcies), filtrate viscosity u (CP), and cake-to-filtrate volumetric ratio . A total volume V cm3 of filtrate has been passed. The pump inlet and filter exit pressures are equal. Assume that the slight difference between slurry and filtrate volumes is negligible. If a=0.2, b = 10-5, A = 100, K= 100, u = 1, = 0.1, and V = 104, all in units consistent with the above definitions, calculate the current volumetric flow rate Q cm3/s. Filter P2 Pump 1 = - P3 P