Thermodynamics Relations - Proof 3

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Entropy S can be considered as a function of the independent varaiables T and V.

i.e.,    → (3.1)

The differential change in the entropy associated with the simultaneous change in the independent variables can be written as,

   → (3.2)

From fundamental property relation I,

dividing by dT with constant volume restriction,

and, by the definition of C_V,

Therefore,

From the Maxwell relation 2,

   → (3.3)

substituting these in Equn.3.2, we obtain,

   → (3.4)

Last Modified on: 01-May-2024

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