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14.8. Knudsen flow in a membrane. A porous-glass membrane, with an average pore diameter of 40 Å, is used to separate light gases at 25°C when Knudsen flow may be dominant. The pressures are 15 psia downstream and not >120 psia upstream. The membrane has been calibrated with pure helium gas, giving a constant permeability of 117,000 Barrer. Experiments with pure CO₂ give a permeability of 68,000 Barrer. Assuming that helium is in Knudsen flow, predict the permeability of CO₂. Is it in agreement with the experimental value? If not, suggest an explanation. Refer- ence: Kammermeyer, K., and L.O. Rutz, C.E.P. Symp. Ser., 55(24), 163-169 (1959).

14.8. Knudsen flow in a membrane. A porous-glass membrane, with an average pore diameter of 40 Å, is used to separate light gases at 25°C when Knudsen flow may be dominant. The pressures are 15 psia downstream and not >120 psia upstream. The membrane has been calibrated with pure helium gas, giving a constant permeability of 117,000 Barrer. Experiments with pure CO₂ give a permeability of 68,000 Barrer. Assuming that helium is in Knudsen flow, predict the permeability of CO₂. Is it in agreement with the experimental value? If not, suggest an explanation. Refer- ence: Kammermeyer, K., and L.O. Rutz, C.E.P. Symp. Ser., 55(24), 163-169 (1959).

Introduction to Chemical Engineering Thermodynamics
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
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**14.8. Knudsen Flow in a Membrane** A porous-glass membrane, with an average pore diameter of 40 Ångströms (Å), is used to separate light gases at 25°C where Knudsen flow might dominate. The pressures are 15 psia downstream and not greater than 120 psia upstream. The membrane has been calibrated with pure helium gas, resulting in a constant permeability of 117,000 Barrer. Experiments with pure CO₂ yield a permeability of 68,000 Barrer. Assuming that helium is in Knudsen flow, predict the permeability of CO₂. Is this prediction consistent with the experimental value? If not, suggest an explanation. **Reference:** Kammermeyer, K., and L.O. Rutz, *Chemical Engineering Progress Symposium Series*, 55(24), 163–169 (1959).
Transcribed Image Text:**14.8. Knudsen Flow in a Membrane** A porous-glass membrane, with an average pore diameter of 40 Ångströms (Å), is used to separate light gases at 25°C where Knudsen flow might dominate. The pressures are 15 psia downstream and not greater than 120 psia upstream. The membrane has been calibrated with pure helium gas, resulting in a constant permeability of 117,000 Barrer. Experiments with pure CO₂ yield a permeability of 68,000 Barrer. Assuming that helium is in Knudsen flow, predict the permeability of CO₂. Is this prediction consistent with the experimental value? If not, suggest an explanation. **Reference:** Kammermeyer, K., and L.O. Rutz, *Chemical Engineering Progress Symposium Series*, 55(24), 163–169 (1959).
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