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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
and hence
vv
vT
p
¼
R
p
a
v
2
1
2b
v
(7.33)
This can be differentiated again to give
v
2
v
vT
2
p
¼
v
vT
vv
vT
p
which results in
v
2
v
vT
2
p
p
a
v
2
þ
2ab
v
3
þ
vv
vT
2
p
2a
v
3
6ab
v
4
¼ 0
giving
v
2
v
vT
2
p
¼
vv
vT
2
p
2a
v
3
6ab
v
4
p
a
v
2
þ
2ab
v
3
which, on substituting for
vv
vT
p
becomes
v
2
v
vT
2
p
¼
R
2
2a
v
3
6ab
v
4
p
a
v
2
1
2b
v

3
(7.34)
Hence, for a van der Waals gas, c
p
¼ f(p).
This means that allowance would have to be taken of this when evaluating the change of specific
heat capacity at constant pressure for a process in which the pressure is changed. This can be evaluated
from
c
p
¼
Z
p
2
p
1
T
v
2
v
vT
2
p
dp; (7.35)
where
v
2
v
vT
2
p
is calculated from Eqn (7.34).
7.3 Tds RELATIONSHIPS
Two approaches ...
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Publisher Resources

ISBN: 9780444633736