2.1
Assume Ideal Gas Behavior
= =
For T = a + by
= 530 - 24 y/n
=
=
ln = ln
With P = 10.6 PSIA, Po = 30.1 in Hg
h = 9192 ft.
,2.2
(a) =0 on tank
(1)
At H20 Level in Tank: P=Patm+ wg(h-y) (2)
From (1) & (2): h-y=1.275 ft. (3)
For Isothermal Compression of Air
PatmVtank=P(Vair)
P= Patm (4)
Combing (1) & (4): y=0.12 ft. and h=1.395 ft.
(b) For Top of Tank Flush with H20 Level
=0
P=Patm+
At H20 Level in Tank: P=Patm+ wg(3-y)
Combining Equations:
F= 196(3-y)- 250
For Isothermal Compression of Air:
(As in Part (a))
3-y = 2.8 ft.
F = 196(2.8) - 250 = 293.6 LBf
, 2.3
When New Force on Tank = 0
Wt. = Buoyant Force = 250 Lbf
Vw Displaced = 250/ wg = 4.01 ft3
Assuming Isothermal Compression
PatmA(3ft.)= P(4.01 ft3) = (Patm+ gy)(4.01)
y=45.88 ft.
Top is at Level: y-
or at 44.6 ft. Below Surface