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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 Beginnings 31
Which is incidentally the same equation for adiabatic changes in modern thermody-
namics too. Therefore, this particular equation does not care what the nature of heat
is.
Let us evaluate
Q
V
T
for an ideal gas directly from eqn.(1.34):
Q
V
T
=
Q
V
P
+
Q
P
V
P
V
T
=
P
R
C
P
P
R
C
V
(1.38)
Combining this with the expression for
μ
(T), one gets the remarkable equality
C
P
C
V
=
R
μ
(T)T
(1.39)
This is the mathematical derivation of Carnot’s result for the specic heats; and the
difference can only depend on temperature, with C
P
always greater than C
V
. Carnot
had concluded that if C
P
C
V
was a constant, the specic heats must have a logarth-
mic dependence ...
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Publisher Resources

ISBN: 9781466512085