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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, from the two-property rule, T ¼ T (p,v) and hence
vp
vv
T
¼
vp
vT
v
vT
vv
p
(7.73)
Thus
c
p
c
v
¼
vp
vv
s

vp
vv
T
¼ v
vp
vv
s
v
vp
vv
T
(7.74)
The denominator of Eqn (7.74), v (vp/vv)
T
, is the reciprocal of the isothermal compressibility, k.By
analogy, the numerator can be written as 1/k
s
, where k
s
¼ adiabatic, or isentropic, compressibility.
Thus
c
p
c
v
¼
k
k
s
¼ k: (7.75)
If the slopes of isentropes in the pv plane, are compared with the slopes of isotherms, see Fig. 7.3,
it can be seen that c
p
/c
v
> 1 for a gas in the superheat region.
7.5 THE CLAUSIUS–CLAPEYRON EQUATION
From the Maxwell relationships
vs
vv
T
¼
vp
vT
v
: (7.19c)
Pressure, p
Specific volume, v
Isentrope
Isotherm ...
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Publisher Resources

ISBN: 9780444633736