(Book: 5.11)
In many cases, it is more convenient to have an equation for the temperature instead of either the entropy equation or the original energy equation.
To derive such an equation, note that according to thermodynamics (Maxwell):
:
is called bulk expansion coefficient.
Note that for an ideal gas, 
.The equation for temperature is therefor:
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(26) |
The temperature equation is not an additional equation, but can be used as an alternative to the entropy or original energy equation.