Thermodynamic potentials can be derived from the energy balance equation applied to a thermodynamic system.
12.
If there are dimensions to the thermodynamic space, then there are unique thermodynamic potentials.
13.
If ? is a thermodynamic potential, then the fundamental equation may be expressed as:
14.
The four most common thermodynamic potentials are:
15.
The energy needed can be expressed as an excess thermodynamic potential of the water in the solution.
16.
In terms of their natural variables, the thermodynamic potentials of a single-species ideal gas are:
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In contrast, Legendre transforms are necessary to derive fundamental equations for other thermodynamic potentials and Massieu functions.
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As in the above sections, this process can be carried out on all of the other thermodynamic potentials.
19.
Legendre transformation is necessary because mere substitutive replacement of extensive variables by intensive variables does not lead to thermodynamic potentials.
20.
A thermodynamic "'free entropy "'is an entropic thermodynamic potential analogous to the partition function.
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