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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)

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Last Modified on: 01-May-2024

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