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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
First Law—The E = Mc
2
of Thermodynamics 43
2.4.5 Isothermal changes
We now turn to a discussion of the implications of rst law for changes under con-
stant temperature. Most generally
¯
dQ = C
V
(V,T )dT +

U
V
T
+ P
dV

U
V
T
+ P
dV (2.21)
For an ideal gas many simple consequences follow. Firstly, pressure is inversely pro-
portional to volume, i.e PV = const.; this is nothing but Boyle’s law. As we saw
earlier, U for ideal gases is independent of volume. Even for the general case for
which C
V
depends on temperature, for isothermal changes there is no change in in-
ternal energy and the rst law gives dQ = PdV. In this case too, the heat Q is a state ...
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Publisher Resources

ISBN: 9781466512085