A flat plug 30 mm thick having an area of 6×10-3 m2 is used to close an opening in a container. The gas O2 at 25 oC and 2 atm pressure is stored inside the container. Assume that the outside partial pressure of O2 is zero and the solubility of O2 is 0.9 m3 gas (at 0 oC and 1 atm) per m3 solid per atm pressure of O2 , and the diffusivity of O2 in the solid material is equal to 0.11×10-10 m2/s.i- Calculate the total leakage of O2 through the plug to the outside in kgmol/s at a steady state.ii- Using the information given in the Appendix (Table Q1), determine the most appropriate material to be used for constructing the plug; and state why?. Table Q1: Diffusivities and Permeabilities of gases in solid materialsDADDiffusionCoefficient[m*/s]Solubility, Sm' solute(STP)m' solid atmPermeability, Pm' solute(STP)S m atmimSolute(A)Solid (B)T(K)H,Vulcanized298 0.85(10-)0.0400.342(10 10)rubber298 0.21(10-9)298 0.15(10-)298 0.11(10-9)290 0.103(10-°)0.152(10-10)0.054(10-10)1.01(10-19)0.070N2CO,H20.0350.900.051Vulcanizedneoprene300 0.180(10-9)0.053Polyethylene 2983036.53(10-12)4.17(10-12)1.52(10-12)0.029(10-12)0.0152(10-12)0.15-0.68 x 10-H2303303O, NylonN2Air Englishleather303298H,0 WaxH,O CellophaneHe Pyrex glass0.16(10-10)0.91-1.82(10 10)4.86(10-15)20.1(10-15)306311293373SiO2293 2.4-5.5(10-")293 2.59(10-13)293 1.3(10-34)Не0.01H2AlFeCu

Diffusivity is the capability of a substance to allow something to pass by means of diffusion.

Answered: flat plug 30 mm thick having an area of…

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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A flat plug 30 mm thick having an area of 6×10-3 m2 is used to close an opening in a container. The gas O2 at 25 oC and 2 atm pressure is stored inside the container. Assume that the outside partial pressure of O2 is zero and the solubility of O2 is 0.9 m3 gas (at 0 oC and 1 atm) per m3 solid per atm pressure of O2 , and the diffusivity of O2 in the solid material is equal to 0.11×10-10 m2/s. i- Calculate the total leakage of O2 through the plug to the outside in kgmol/s at a steady state. ii- Using the information given in the Appendix (Table Q1), determine the most appropriate material to be used for constructing the plug; and state why?.

Table Q1: Diffusivities and Permeabilities of gases in solid materials
DAD
Diffusion
Coefficient
[m*/s]
Solubility, S
m' solute(STP)
m' solid atm
Permeability, P
m' solute(STP)
S m atmim
Solute
(A)
Solid (B)
T(K)
H,
Vulcanized
298 0.85(10-)
0.040
0.342(10 10)
rubber
298 0.21(10-9)
298 0.15(10-)
298 0.11(10-9)
290 0.103(10-°)
0.152(10-10)
0.054(10-10)
1.01(10-19)
0.070
N2
CO,
H2
0.035
0.90
0.051
Vulcanized
neoprene
300 0.180(10-9)
0.053
Polyethylene 298
303
6.53(10-12)
4.17(10-12)
1.52(10-12)
0.029(10-12)
0.0152(10-12)
0.15-0.68 x 10-
H2
303
303
O, Nylon
N2
Air English
leather
303
298
H,0 Wax
H,O Cellophane
He Pyrex glass
0.16(10-10)
0.91-1.82(10 10)
4.86(10-15)
20.1(10-15)
306
311
293
373
SiO2
293 2.4-5.5(10-")
293 2.59(10-13)
293 1.3(10-34)
Не
0.01
H2
Al
Fe
Cu

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