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?.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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)
5-m- atm/m
Solute
(4)
Solid (B)
T(K)
H,
Vulcanized
298 0.85(10-)
0.040
0.342(10 10)
rubber
O2
N2
CO2
H2
298 0.21(10-)
298 0.15(10-)
298 0.11(10-9)
290 0.103(10-9)
0.152(10 10)
0.054(10-10)
1.01(10-1)
0.070
0.035
0.90
Vulcanized
0.051
neoprene
300 0.180(10-)
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
Nylon
303
303
N2
Air
298
English
leather
H,O 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
SiO,
H2
293 2.4-5.5(10-14)
293 2.59(10-13)
293 1.3(10-34)
Не
0.01
Fe
Al
Cu
Transcribed Image Text: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) 5-m- atm/m Solute (4) Solid (B) T(K) H, Vulcanized 298 0.85(10-) 0.040 0.342(10 10) rubber O2 N2 CO2 H2 298 0.21(10-) 298 0.15(10-) 298 0.11(10-9) 290 0.103(10-9) 0.152(10 10) 0.054(10-10) 1.01(10-1) 0.070 0.035 0.90 Vulcanized 0.051 neoprene 300 0.180(10-) 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 Nylon 303 303 N2 Air 298 English leather H,O 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 SiO, H2 293 2.4-5.5(10-14) 293 2.59(10-13) 293 1.3(10-34) Не 0.01 Fe Al Cu
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