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HW13 Solutions

# HW13 Solutions - ,er EOLUTIOYOS x— ChE 150B Problem Set...

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Unformatted text preview: ,er EOLUTIOYOS x— ChE 150B Problem Set 13 Due November 25, 2009 yProblem 1 ms) Consider the commercial application of membrane separators discussed in Seader and Henley Chapter 14: Gas IS fed to a membrane separator at 450 psia and 200°F, with the following component ﬂow rates in lbmol/h: H2 1 ,.872 3, CH4 193.1, C2 11.4, Benzene 4. 8, Toluene 4. 2, and p- Xylene 0.6. The membrane system has a total area of 16,000 ftZ, with a thickness of 0.3 microns. The permeate exits at 50 psia with 1,685.1 lbmob’h of H2 and 98.8 lbmol of CH4. The retentate exits at 450 psia. Calculate the permeabilities of hydrogen and methane in Barrer units. {Hint You can estimate a driving force for mass transfer as the difference between the average partial pressure of the feed and retentate, minus the partial pressure of the permeate] Problem 2. W) The separation: of air into. nitrogen and oxygen is widely practiced. Cryogenic distillation is most economical for processing 100 to 5,000 tons of air per day, while pressure-swing—adsorption is less than 10 tons/day, gas permeation ﬁnds applications where for a single stage, either an oxygen—enriched air (40 mol% oxygen) or 98 mol% nitrogen can be produced. It is desired to produce 5 Mazda}; (2000 lb/ton) of 40 mol% oxygen and nitrogen, ideally of 90 mol% purity, by gas permeation. Assume pressures of 500 psia (feed side) and 20 psia (permeate). Two companies, who can supply the membrane modules, have provided the following datea: Company A Company B Module type ' Holiow-ﬁber Spiral-wound PM for 02, batter/um 15 35 PMO: 1PM”: 3.5 1.9 Determine the required membrane area in m2 for each company. Assume that both module types approximate crossﬂow. / Problem 3. 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HW13 Solutions - ,er EOLUTIOYOS x— ChE 150B Problem Set...

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