MEMBRANES_SOLUTION - ENV 6015 Membrane Solution to Problem...

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Unformatted text preview: ENV 6015 Membrane Solution to Problem Set 1. A membrane pilot study using one spiral wound membrane with a surface area of 70 ft 2 was conducted on a ground water source. The results of the study are given in Table 1. The data is the permeate concentration vs. percent recovery and operating pressure. The feed water quality is also given. Construct isopleths for the % rejection vs.% recovery and pressure drop for each solute. Comment on the effect of pressure drop and percent recovery on the rejection with respect to the diffusion theory. Calculate the mass transfer coefficients for both water and each solute. Table 1. Product Flow, and Permeate Water Quality as a Function of Feed Pressure and % Recovery Pressure, psi % Recovery Product flow GPM Total hard mg/L as CaCO 3 TDS mg/L THMFP ug/L 80 50 .612 109 146 10 80 66 .617 128 198 14 80 75 .617 135 205 17 80 90 .621 195 259 28 90 50 .690 98 137 9 90 66 .639 135 171 15 90 75 .694 135 180 12 90 90 .695 135 193 17 100 50 .769 101 137 11 100 66 .771 124 160 13 100 75 .771 139 169 15 100 90 .773 135 188 11 110 50 .848 101 147 8 110 66 .853 120 214 14 110 75 .852 130 200 11 110 90 .854 139 219 11 Raw water quality 239 345 1250 Solution: 1 psi Ga C f-C p psi gsfd P Flow TDS Flux P- 80 0.612 199 1.9 12.6 78.1 80 0.617 147 1.5 12.7 78.5 80 0.617 140 1.4 12.7 78.6 80 0.621 89 0.9 12.8 79.1 1 psi Ga C f-C p psi gsfd P Flow TDS Flux P- 90 0.69 247 2.5 14.2 87.5 90 0.693 210 2.1 14.3 87.9 90 0.694 210 2.1 14.3 87.9 90 0.695 186 1.9 14.3 88.1 100 0.769 244 2.4 15.8 97.6 100 0.771 221 2.2 15.9 97.8 100 0.771 206 2.1 15.9 97.9 100 0.773 210 2.1 15.9 97.9 110 0.848 244 2.4 17.4 107.6 110 0.853 225 2.3 17.6 107.4 110 0.852 215 2.2 17.5 107.5 110 0.854 206 2.6 17.6 107.4 Average 15.09 92.9 psi gsfd e i in lb d ft gal e i d ft gal in lb 16 . . . / . / 16 . . . ; . / / 2126 . 6 2 2 2 2 s l d l l Kw 1985 . 008725 . min 91 . 11 = = = Cf-Cp gsfd Cp CpFw Fs/ TDS TDS Fw TDS Fs Ks 199 12.6 146 1840 1.24 147 12.7 198 2514 2.29 140 12.7 205 2604 2.48 89 12.8 259 3315 4.98 2 Cf-Cp gsfd Cp CpFw Fs/ TDS TDS Fw TDS Fs Ks 247 14.2 137 1945 1.05 210 14.3 171 2445 1.56 210 14.3 180 2574 1.64 186 14.3 193 2760 1.98 1....
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MEMBRANES_SOLUTION - ENV 6015 Membrane Solution to Problem...

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