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Calculating permeate flux and concentration. Calculate the quantity and quality of water produced by a single RO membrane element (permeate concentration, observed rejection and

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Calculating permeate flux and concentration. Calculate the quantity and quality of water produced by a single RO membrane element (permeate concentration, observed rejection and recovery) given the following information. The basic solution strategy is to (1) divide the membrane element into a number of increments; (2) determine pressure, crossflow rate, crossflow velocity, solute concentration and osmotic pressure on both sides of the membrane in the first increment; (3) calculate the water and solute flux across the membrane in the first increment; (4) determine pressure, crossflow rate. crossflow velocity, solute concentration and osmotic pressure on both sides of the membrane in the next increment; (5) calculate water and solute flux across the membrane in the next increment; and (6) repeat steps (4) and (5) for all remaining increments. Parameter Membrane properties Element length Element membrane area Feed channel height (spacer thickness) Water mass transfer coefficient (kw) Solute mass transfer coefficient (ks) Element head loss (at design velocity of 0.5 m/s) Operating conditions Unit m m mm L/m.h.bar m/h bar m/d bar Value mg/L NaCl C bar Feed flow (QF) Feed pressure (PF) Feed concentration (CF) Feed temperature (TF) Permeate pressure (PP) Osmotic coefficient (o) Assume DNaCl = 1.35 x 109 m/s, = 1, and MW NaCl = 58.4. 1 32.5 0.125 2.87 6.14 x 10-4 0.2 270 14.2 2000 20 0.3 1.0

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