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(e) After the compression,
()
45
33
8.31 J/mol K
2.7 10 K
3.4 10 J.
22
ff
KR
T
==
⋅
×=
×
(f) Since
2
rms
vT
∝
, we have
2
rms,
24
rms,
273K
0.010.
2.7 10 K
i
i
v
T
=
×
75. (a) We use
ii
f f
p
Vp
V
γγ
=
to compute
γ
:
5
36
ln 1.0atm 1.0 10 atm
ln
5
.
3
ln
ln 1.0 10 L 1.0 10 L
if
fi
pp
VV
×
=
××
Therefore the gas is monatomic.
(b) Using the gas law in ratio form (see Sample Problem 191), the final temperature is
(
)
53
4
6
1.0 10 atm 1.0 10 L
2.7 10 K.
1.0atm 1.0 10 L
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 Spring '08
 Any
 Physics

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