A new asymmetric, polyimide polymer membrane has been developed for the separation of N2 from CH4. At 30∘C, permeance values are 50,000 and 10,000 Barrer∕cm for N2 and CH4, respectively. If this new membrane is used to perform the separation in Figure 14.25, determine the membrane surface area in m2, and the kmol/h of CH4 in the permeate. Base the driving force for diffusion on the arithmetic average of the partial pressures of the entering feed and the exiting retentate, with the permeate-side partial pressures at exit condition.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A new asymmetric, polyimide polymer membrane has been developed for the separation of N2 from CH4. At 30∘C, permeance values are 50,000 and 10,000 Barrer∕cm for N2 and CH4, respectively. If this new membrane is used to perform the separation in Figure 14.25, determine the membrane surface area in m2, and the kmol/h of CH4 in the permeate. Base the driving force for diffusion on the arithmetic average of the partial pressures of the entering feed and the exiting retentate, with the permeate-side partial pressures at exit condition.
Feed
5,500 kPa
30°C
N₂
CH4
kmol/h
200
800
1,000
Membrane
separator
Figure 14.25 Data for Exercise 14.3.
Retentate
5,450 kPa
30°C
N₂
CH4
Permeate
100 kPa
30°C
N₂
CH4
kmol/h
20
kmol/h
180
Transcribed Image Text:Feed 5,500 kPa 30°C N₂ CH4 kmol/h 200 800 1,000 Membrane separator Figure 14.25 Data for Exercise 14.3. Retentate 5,450 kPa 30°C N₂ CH4 Permeate 100 kPa 30°C N₂ CH4 kmol/h 20 kmol/h 180
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