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The Principles of Thermodynamics
book

The Principles of Thermodynamics

by N.D. Hari Dass
October 2013
Intermediate to advanced content levelIntermediate to advanced
352 pages
13h 56m
English
CRC Press
Content preview from The Principles of Thermodynamics
The Critical Point 269
For this purpose, it is useful to recast eqn.(13.9) in the form
2p 8t + 3v p3v
3
=0 (13.30)
Using this, it is easy to see that in the vicinity of the critical point
C
P
C
V
=8R
1
p 3v
2
1
2+3v
(13.31)
Approaching along the critical isochore:
Along this line v=0,p=4t(in fact this is true even if one is not in the vicinity
of T
c
). Hence C
P
C
V
t
1
. For the ideal vdW case, since C
V
remains nite by
choice, one concludes that C
P
t
1
. If an additional exponent
α
is introduced via
C
P
(t) t
α
, one concludes that for approach along the critical isochore
α
=1.
Approaching along the critical isobar:
Along the critical isobar p=0, v
3
= 8t/3. It should ...
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Publisher Resources

ISBN: 9781466512085