Euler's theorem in thermodynamics
GPTKB entity
Statements (15)
| Predicate | Object |
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| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:appliesTo |
gptkb:music
gptkb:organization internal energy number of particles thermodynamic potentials |
| gptkbp:field |
thermodynamics
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| https://www.w3.org/2000/01/rdf-schema#label |
Euler's theorem in thermodynamics
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| gptkbp:implies |
U = TS - pV + μN (for internal energy U)
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| gptkbp:namedAfter |
gptkb:Leonhard_Euler
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| gptkbp:relatedTo |
homogeneous functions
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| gptkbp:state |
If a thermodynamic potential is a homogeneous function of degree 1 in its extensive variables, then it can be written as a sum of its partial derivatives times the variables.
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| gptkbp:usedFor |
deriving thermodynamic identities
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| gptkbp:bfsParent |
gptkb:Euler,_Leonhard
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| gptkbp:bfsLayer |
7
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