You need 1249 L of filtered solution and you plan to run the filter for 269 minutes. What pressure in psi is required if the area is 47.6 cm^2 with permeability of 23 darcy? The volume of cake deposited per volume of filtrate is 0.0004 . Assume properties of water (viscosity = 1 cP).

Correct answer is 5.458 psi