A flat plug 30 mm thick having an area of 6x10 m² is used to close an opening in a container. The gas O2 at 25 °C and 2 atm pressure stored inside the container. Assume that the outside partial pressure of O2 is zero and the solubility of O2 is 0.9 m gas (at 0 °C and 1 atm) per m' solid per atm pressure of O2, and the diffusivity of O2 in the solid material is equal to 0.11x10 10 m2/s. i- Calculate the total leakage of O2 through the plug to the outside in kgmol/s at a steady state.

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
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Q1)
A flat plug 30 mm thick having an area of 6x10 m2 is used to close an opening in a
container. The gas O2 at 25 °C 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 m gas (at 0 °C
and 1 atm) per m' solid per atm pressure of O2 , and the diffusivity of O2 in the solid
material is equal to 0.11x10-10 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?.
Transcribed Image Text:be the first page of your report Q1) A flat plug 30 mm thick having an area of 6x10 m2 is used to close an opening in a container. The gas O2 at 25 °C 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 m gas (at 0 °C and 1 atm) per m' solid per atm pressure of O2 , and the diffusivity of O2 in the solid material is equal to 0.11x10-10 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?.
100%
Appendix
Table Ql: Diffusivities and Permeabilities of gases in solid materials
Digusion
Coefficient
[m/s]
Solubility, S
sohte(STP)
solid-atm
Permeability, P
solte(STP
S-atm/m
Solute
Solid (B)
TIK)
H2
Vulcanized
rubber
298 0.85(10-)
0.342(10 1)
0.040
0.21(10-9)
0.15(10-)
0.11(10-9)
290
298
298
298
N2
CO2
Vulcanized
0.070
0.035
0.152(10 1)
0.054(10 10)
1.01(10 1)
0.90
H2
0.103(10-)
0.051
neoprene
300 0.180(10 )
0.053
H2
Polyethylene
O2
N2
Nylon
298
303
6.53(10-12)
4.17(10 12)
1.52(10 2)
0.029(10 12)
0.0152(10 12)
0.15-0.68 x 10-4
303
303
O2
N2
Air
303
English
leather
298
H,O Wax
H,O Cellophane
He
0.16(10 1)
0.91-1.82(10 1)
4.86(10 15)
20.1(10 1)
306
311
Pyrex glass
293
373
2.4-5.5(10 )
2.59(10 )
293
Acti
He
SiO,
293
0.01
o to
293
H,
Al
Fe
Cu
1.3(10 )
Transcribed Image Text:100% Appendix Table Ql: Diffusivities and Permeabilities of gases in solid materials Digusion Coefficient [m/s] Solubility, S sohte(STP) solid-atm Permeability, P solte(STP S-atm/m Solute Solid (B) TIK) H2 Vulcanized rubber 298 0.85(10-) 0.342(10 1) 0.040 0.21(10-9) 0.15(10-) 0.11(10-9) 290 298 298 298 N2 CO2 Vulcanized 0.070 0.035 0.152(10 1) 0.054(10 10) 1.01(10 1) 0.90 H2 0.103(10-) 0.051 neoprene 300 0.180(10 ) 0.053 H2 Polyethylene O2 N2 Nylon 298 303 6.53(10-12) 4.17(10 12) 1.52(10 2) 0.029(10 12) 0.0152(10 12) 0.15-0.68 x 10-4 303 303 O2 N2 Air 303 English leather 298 H,O Wax H,O Cellophane He 0.16(10 1) 0.91-1.82(10 1) 4.86(10 15) 20.1(10 1) 306 311 Pyrex glass 293 373 2.4-5.5(10 ) 2.59(10 ) 293 Acti He SiO, 293 0.01 o to 293 H, Al Fe Cu 1.3(10 )
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