Gibbs-helmholtz Equation
The
Gibbs-Helmholtz equation
is a
thermodynamic
relationship useful for calculating changes in the
energy
or
enthalpy
(heat content) of a system. Two useful general forms of this equation are:
\Delta A - \Delta U = T \left( \frac{\delta\left(\Delta A \right)}{\delta T} \right)_V
\Delta G - \Delta H = T \left( \frac{\delta \left( \Delta G\right)}{\delta T} \right)_P
Where
A
is the
work function
,
U
is the
internal energy
of the system,
T
is the
absolute temperature
,
V
is the
volume
,
P
is the
pressure
,
G
is the
Gibbs free energy
and
H
is the
heat content
(
enthalpy
) of the system.
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