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Problem 3.1
[Difficulty: 2]
Given:
Data on nitrogen tank
Find:
Pressure of nitrogen; minimum required wall thickness
Assumption:
Ideal gas behavior
Solution:
Ideal gas equation of state:
pV
⋅
MR
⋅
T
⋅
=
where, from Table A.6, for nitrogen
R
55.16
ft lbf
⋅
lbm R
⋅
⋅
=
Then the pressure of nitrogen is
p
⋅
T
⋅
V
=
⋅
T
⋅
6
π
D
3
⋅
⎛
⎜
⎝
⎞
⎟
⎠
⋅
=
p
140 lbm
⋅
55.16
×
ft lbf
⋅
lbm R
⋅
⋅
77
460
+
()
×
R
⋅
6
π
2.5 ft
⋅
3
×
⎡
⎢
⎣
⎤
⎥
⎦
×
ft
12 in
⋅
⎛
⎝
⎞
⎠
2
×
=
p
3520
lbf
in
2
⋅
=
σ
c
π
Dt
p
D
2
/4
To determine wall thickness, consider a free body diagram for one hemisphere:
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 Fall '07
 Lear
 Fluid Mechanics

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