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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;
vT
vv
p
¼
1
<
p þ
a
v
2
v b
<

2a
v
3
;
giving
vv
vT
p
¼
<
p þ
a
v
2
ðv bÞ
2a
v
3
(18.17)
Thus, from Eqn (18.17), the Joule–Thomson coefficient for a van der Waals gas is not zero at all
points, being given by
m ¼
1
c
p
2
6
6
4
<T
p þ
a
v
2
ðv bÞ
2a
v
3
v
3
7
7
5
(18.18)
18.2.2 MAXIMUM AND MINIMUM INVERSION TEMPERATURES
The general form of Van der Waals equation, Eqn (18.15), can be rewritten as
T ¼
p þ
a
v
2
ðv bÞ
<
: (18.16)
The inversion temperature is defined as
T
i
¼ v
vT
vv
p
(18.19)
which can be evaluated from Eqn (18.16) in the following way.
vT
vv
p
¼
1
<
p þ
a
v
2
v b
<

2a
v
3
;
giving v
vT
vv
p
¼
1
<
v
p þ
a
v
2
ðv bÞ
2a
v
2

(18.20)
It is now necessary to solve for v in terms ...
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Publisher Resources

ISBN: 9780444633736