: Reverse osmosis unit is to be used to clean waste solution of organic compounds.Volumetric flow rate

Reverse osmosis unit is to be used to clean waste solution of organic compounds.Volumetric flow rate of the waste solution is 26 m3h-1 and it contains 0.1 kmol.m-3 oforganic compounds. Osmotic pressure of the solution is 0.45 MPa and a lineardependence of the osmotic pressure on the molar concentration can be assumed. Thepressure difference in the membrane unit is 3 MPa. The cut fraction should be 0.4. Theproperties of the membrane had been obtained experimentally: resistance of themembrane is PA/dM = 0.5 10-4 cm.MPa-1s-1 and the volumetric rejection factor is 0.9. Themodule is ideally mixed on both sides of the membrane.Determine: the volumetric flow rates of permeate and retentate,concentration of the organic compounds in permeate and retentate,area of the membrane module.