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Advanced Thermodynamics for Engineers, 2nd Edition
book

Advanced Thermodynamics for Engineers, 2nd Edition

by Ali Turan, D. Winterbone
February 2015
Intermediate to advanced content levelIntermediate to advanced
578 pages
19h 27m
English
Butterworth-Heinemann
Content preview from Advanced Thermodynamics for Engineers, 2nd Edition
Now, if it is required to calculate the total change in internal energy, u, for a change in volume and
temperature, it is necessary to use Eqn (7.46)
du ¼
vu
vT
v
dT þ
vu
vv
T
dv: (7.46)
For an ideal gas
du ¼
vu
vT
v
dT ¼ c
v
dT: (7.55)
i.e. for an ideal gas
u ¼ f ðTÞ:
It is also possible to use the following approach to show whether u ¼ f (p). This may be done in the
following way.
vu
vv
T
¼
vu
vp
T
vp
vv
T
¼ 0:
Now
vp
vv
T
¼
p
v
;
and since
ps0;
vu
vp
T
¼ 0:
Hence, for an ideal gas
usf ðpÞ:
For a van der Waals gas
du ¼ c
v
dT þ
a
v
2
dv: (7.56)
Hence, for a van der Waals gas u ¼ f (T,v).
7.4 RELATIONSHIPS BETWEEN SPECIFIC HEAT CAPACITIES
These relationships enable the value of one ...
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Publisher Resources

ISBN: 9780444633736