Thermodynamics Relations - Proof 7

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U can be written as a function of the independent variables T and V as,

   → (7.1)

differentiating,

   → (7.2)

By the definition of CV,

From fundamental relation I,

dividing by dV and at consatnt T,

   → (7.3)

From the Maxwell relation 2 ,

Therefore,

   → (7.4)

substituting these in Equn.7.2,

   → (7.5)
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Last Modified on: 04-Feb-2022

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