Determine: the volumetric flow rates of permeate and retentate,concentration of the organic compounds in permeate and retentate,area of the membrane module.

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 of organic compounds. Osmotic pressure of the solution is 0.45 MPa and a linear dependence of the osmotic pressure on the molar concentration can be assumed. The pressure difference in the membrane unit is 3 MPa. The cut fraction should be 0.4. The properties of the membrane had been obtained experimentally: resistance of th e membrane is PA/dM = 0.5 10-4 cm.MPa-1s-1 and the volumetric rejection factor is 0.9. The module 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.
 
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