Skip to Main Content
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
The Clapeyron Equation 215
11.5 Temperature dependence of latent heats
That latent heats can be temperature dependent should not come as a surprise. In
fact that is the generic thermodynamic behaviour. On noting that l = T (s
2
s
1
),and
s
T
P
=
c
P
T
, one nds
l
T
P
=
l
T
+ c
P
2
c
P
1
(11.27)
Likewise,
l
P
T
= T
(s
2
s
1
)
P
T
(11.28)
We now use one of the Maxwell relations,
s
P
T
=
v
T
P
= v
β
,where
β
stands for the volume expansion coefcient. Therefore,
l
P
T
= T(v
1
β
1
v
2
β
2
) (11.29)
The total derivative of l wrt to T is therefore given by
dl
dT
=
l
T
P
+
l
P
T
dP
dT
(11.30)
Using the earlier expressions and the Clapeyron equation we arrive at the nal result
for the ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Thermodynamics

Thermodynamics

S. C. Gupta

Publisher Resources

ISBN: 9781466512085