Case A- Feed mixture: 50 psia pure CO₂ L (cm) O.D. (cm) Pfeed (psia) Vp (ml) 12 0.018 53 Membrane 1 12 0.018 51 12 0.018 49.7 12 0.018 50 12 0.018 50 5 555 5 Yco2 (%) tp (s) 135.35 100.00 118.54 100.00 118.85 100.00 115.05 100.00 115.78 100.00 L= length of the hollow fiber membrane used cm) OD = outer diameter of the fiber used (cm) Pfeed Total feed pressure (psia) V₁ = = volume of permeate collected (mL) t = time to collect (s) Yco2 CO2 mol% in permeate stream (%) Case B - Feed mixture: 500 psia 10:90 CO₂:CH4 L (cm) O.D. (cm) Pfeed (psia) Vp (ml) tp (s) Ycoz (%) 12 0.018 497 Membrane 2 12 0.018 496.3 12 0.018 496.3 12 0.018 496.7 5555 103.07 74.83 144.31 76.81 144.31 76.89 144.67 77.47 Case C - Feed mixture: 100 psia 50:50 CO₂:CH4 L (cm) O.D. (cm) Pfeed (psia) Vp (ml) tp (s) Ycoz (%) 12 0.018 98.2 5 138.9 97.01 Membrane 3 12 0.018 97.6 5 140.94 97.30 12 0.018 97.5 5 140.57 97.32

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
Section: Chapter Questions
Problem 1.1P
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The table below shows data from real test runs for three membranes tested under 3 different conditions (Cases A, B and C).

Using the data below, compute the (a) steady state CO2 permeance (in GPU) and (b) CO2/CH4 selectivities for the three cases:

 

Case A- Feed mixture: 50 psia pure CO₂
L (cm) O.D. (cm) Pfeed (psia) Vp (ml)
12
0.018
53
Membrane 1
12
0.018
51
12
0.018
49.7
12
0.018
50
12
0.018
50
5
555 5
Yco2 (%)
tp (s)
135.35
100.00
118.54
100.00
118.85
100.00
115.05
100.00
115.78
100.00
L= length of the hollow fiber membrane used cm)
OD = outer diameter of the fiber used (cm)
Pfeed Total feed pressure (psia)
V₁ = = volume of permeate collected (mL)
t = time to collect (s)
Yco2 CO2 mol% in permeate stream (%)
Case B - Feed mixture: 500 psia 10:90 CO₂:CH4
L (cm) O.D. (cm) Pfeed (psia) Vp (ml)
tp (s)
Ycoz (%)
12
0.018
497
Membrane 2
12
0.018
496.3
12
0.018
496.3
12
0.018
496.7
5555
103.07
74.83
144.31
76.81
144.31
76.89
144.67
77.47
Case C - Feed mixture: 100 psia 50:50 CO₂:CH4
L (cm) O.D. (cm) Pfeed (psia) Vp (ml) tp (s)
Ycoz (%)
12
0.018
98.2
5
138.9
97.01
Membrane 3
12
0.018
97.6
5
140.94
97.30
12
0.018
97.5
5
140.57
97.32
Transcribed Image Text:Case A- Feed mixture: 50 psia pure CO₂ L (cm) O.D. (cm) Pfeed (psia) Vp (ml) 12 0.018 53 Membrane 1 12 0.018 51 12 0.018 49.7 12 0.018 50 12 0.018 50 5 555 5 Yco2 (%) tp (s) 135.35 100.00 118.54 100.00 118.85 100.00 115.05 100.00 115.78 100.00 L= length of the hollow fiber membrane used cm) OD = outer diameter of the fiber used (cm) Pfeed Total feed pressure (psia) V₁ = = volume of permeate collected (mL) t = time to collect (s) Yco2 CO2 mol% in permeate stream (%) Case B - Feed mixture: 500 psia 10:90 CO₂:CH4 L (cm) O.D. (cm) Pfeed (psia) Vp (ml) tp (s) Ycoz (%) 12 0.018 497 Membrane 2 12 0.018 496.3 12 0.018 496.3 12 0.018 496.7 5555 103.07 74.83 144.31 76.81 144.31 76.89 144.67 77.47 Case C - Feed mixture: 100 psia 50:50 CO₂:CH4 L (cm) O.D. (cm) Pfeed (psia) Vp (ml) tp (s) Ycoz (%) 12 0.018 98.2 5 138.9 97.01 Membrane 3 12 0.018 97.6 5 140.94 97.30 12 0.018 97.5 5 140.57 97.32
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