Thermodynamics Relations - Proof 14

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From the relationships between specific heat and entropy,

         → (14.1)

By Cyclic Rule of partial differentiation,

   → (14.2)

Similarly,

   → (14.3)

By the Maxwell relations 4 & 1,

   i.e.,   

and

   i.e,   

Therefore, Equn.14.2 & 14.3 reduces to,

   → (14.4)    → (14.5)

Substituting from Equn.14.4 and 14.5 in Equn.14.1,

   → (14.6)

i.e.,

   → (14.7)    → (14.8)

By Cyclic Rule,

   → (14.9)

Substituting from Equn.14.9 in Equn.14.8,

   → (14.10)
[Index]



Last Modified on: 01-May-2024

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