A membrane consists of a rigid disk of L,10m thick polycarbonate with 10identical cylindrical pores, each with D30nm diameter. The pores pass through the entire membrane thickness normal to the membrane surface. Water (=1000kgm3,=103 Pars ) is forced through the membrane by applying a pressure of 10 atm (absolute) upstream, with I atm (absolute) pressure downstream. The pores are sufficiently spaced that flow through each pore is independent of that through all other pores. Furthermore, the pores are sufficiently large that coatinuum fluid mechanics remains valid. (a) Neglecting minor losses, what is the volume flow rate of water through the membrane? (b) Assuming the flow remains incompressible, what is the maximum pressure difference across the membrane at which the flow would be laminar