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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
254 The Principles of Thermodynamics
With P
I
(h) not even being interpretable as the pressure in the interface, the lhs can
not be given the meaning of a chemical potential for this region. In fact, it is hard
to make any sensible use of this equation. Remarkably, van der Waals manages to
derive the following relation (again for planar interfaces)
u
I
(h) Ts
I
(h)+P
e
v
I
(h)=
μ
+
c
2
2
1
ρ
I
(h)
d
ρ
I
(h)
dh
2
d
2
ρ
I
(h)
dh
2
(12.56)
Where P
e
is the external pressure. The reversal in the sign of the second derivative
term will be seen to be crucial. The crucial observation of vdW is that neither with P
nor with P
e
is this expression equal to the common chemical potential for ...
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Publisher Resources

ISBN: 9781466512085