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Heat capacity at constant pressure
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Physics
Branch of physics
Statistical physics
Thermodynamics
Enthalpy
Created
2026-09-24
Updated
2026-10-03
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At fixed
pressure
, supplied
heat
equals
enthalpy
change; for constant
C
p
,
Q
=
C
p
Δ
T
.
Table of contents
Difference between constant-pressure and constant-volume heat capacities
Heat capacity at constant pressure
Difference between constant-pressure and constant-volume heat capacities
(
C
P
−
C
V
)
0
0
0
Heat capacity at constant pressure
For
a
simple compressible system,
C
P
−
C
V
=
T
(
∂
T
∂
V
)
P
(
∂
T
∂
P
)
V
.
(1)
This follows by expressing the
entropy
as
a
function
of
temperature
and
volume
and using
a
Maxwell relation.
Ancestors
(6)
Enthalpy
Thermodynamics
Statistical physics
Branch of physics
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Past exam of the mathematics course of the University of Cambridge
/
2008
/
ii
/
Paper 3
/
34E
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
ii
/
Paper 3
/
33C
/
a
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 2
/
36A
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
ii
/
Paper 4
/
35A
/
d
/
ii
/
Solution
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