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14. (a) The
pV
diagram depicting the two “paths” is shown:
(V,p)
(2V,2p)
path II
path I
(b) “Path I” consists of an isothermal (constant
T
) process in which the volume doubles, followed by a
constantvolume process. We consider the
Q
for each of these steps. We note that the connection
between molar heat capacity and the degrees of freedom of a monatomic gas is given by setting
f
= 3 in Eq. 2051. Thus,
C
V
=
3
2
R
,
C
p
=
5
2
R
, and
γ
=
5
3
.
•
Isothermal: Since this is an ideal gas, Eq. 2045 holds, which implies ∆
E
int
=0f
o
rth
i
s
process. Eq. 2014 also applies, so that by the Frst law of thermodynamics,
Q
=0+
W
=
nRT
ln
V
f
/V
i
=
pV
ln 2. The ideal gas law is used in the last step.
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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