(d) The final pressure is
()
53
1.0L
32atm
3.2atm.
4.0L
i
fi
f
V
pp
V
γ
§·
==
=
¨¸
©¹
(e) The final temperature is
(
)
(
)
(
)
3.2atm 4.0L 300K
120K
32atm 1.0L
ff
i
f
ii
pVT
T
pV
=
.
(f) The work done is
(
)
(
)
(
)
int
int
3
3
33
22
3
3.2atm 4.0L
1.01 10 Pa atm 10 m L
2
2.9 10 J .
i
i
W
Q
E
E
nR T
p V
−
=−
Δ =
−
−
Δ=
−
−
ªº
−
×
¬¼
=×
(g) If the gas is diatomic, then
= 1.4, and the final pressure is
1.4
4.6atm
i
f
V
V
=
.
(h) The final temperature is
(
)
(
)
(
)
4.6atm 4.0L 300K
170K
i
f
T
=
.
77. (a) The final pressure is
(
)
8.0atm,
f
f
p
V
=
(b) For the isothermal process the final temperature of the gas is
T
f
= T
i
= 300 K.
(c) The work done is
(
)
3
3
ln
ln
32atm 1.01 10 Pa atm 1.0 10 m ln
4.4 10 J.
i
VV
Wn
R
T
p
V
−
=
×
×
For the adiabatic process
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 Spring '08
 Any
 Physics, Work

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