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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 C_{V},

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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