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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
134 The Principles of Thermodynamics
Clearly these are the proper equations of state in the sense of Callen; they relate the
intensive variables (T,P) of the rst class to only the intensive variablesU
m
,V
m
of the
second class. The usual equations for ideal gases are easily recovered from them.
We see explicitly that there are only two degrees of freedom. It remains to evaluate
the third rst class intensive variable
μ
and show that it is not really independent.
Evaluating the relevant partial derivative explicitly yields
μ
=
U
n
S,V
= U
m
(S
m
,V
m
)+
U
m
(S
m
,V
m
)
C
S
m
U
m
(S
m
,V
m
)
CR
= U
m
+PV
m
TS
m
= G
m
(6.48)
Now we discuss the somewhat more involved example of the van der ...
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Publisher Resources

ISBN: 9781466512085