What is the flux across the membrane

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Reference no: EM133298240

Assignment:

Consider a membrane filtration unit for treating water in rural areas lacking major infrastructure. Gravity is used to drive water through a 0.22 µm membrane. The membrane unit houses 22 m2 of membrane area. The membrane system is operated in cross-flow, under a constant flux regime meet a demand of 500 L/h of water. The treated water is 30°C. Note: the pressure of 1 meter of H2O is equivalent to 9.8 kPa

a) What is the flux across the membrane, given the parameters provided? (answer in m/h, to three decimal places)

b) If the recovery rate of the membrane is 95%, how much water must be fed to the membrane unit to achieve the required permeate flow rate? (answer in L/h to one decimal place)

c) When the membrane is clean, the membrane resistance is 1.8×1013 m-1. How many meters of water are required to pressurize the membrane to yield 500 L/h of water? (Answer in meters, to two decimal place)

d) During operation, the membrane fouls continuously, such that 5.0×1012 m-1 resistance is added every 20 minutes. How many meters of water will be required to supply the 500 L/h after one hour of operation? (Answer in meters, to two decimal place.

Reference no: EM133298240

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