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Problem 1.9
[Difficulty: 2]
Given:
Mass of nitrogen, and design constraints on tank dimensions.
Find:
External dimensions.
Solution:
Use given geometric data and nitrogen mass, with data from Table A.6.
The given or available data is:
M5
k
g
⋅
=
p
200
1
+
(
) atm
⋅
=
p
20.4 MPa
⋅
=
T
20
273
+
()
K
⋅
=
T
293 K
⋅
=
R
N2
296.8
J
kg K
⋅
⋅
=
(Table A.6)
The governing equation is the ideal gas equation
p
ρ
R
N2
⋅
T
⋅
=
and
ρ
M
V
=
where V is the tank volume
V
π
D
2
⋅
4
L
⋅
=
where
L2
D
⋅
=
Combining these equations:
Hence
MV
ρ
⋅
=
pV
⋅
R
N2
T
⋅
=
p
R
N2
T
⋅
π
D
2
⋅
4
⋅
L
⋅
=
p
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.
 Fall '07
 Lear
 Fluid Mechanics, Strain

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