###
Thermodynamics Relations - Proof 7

Home ->
ChE Learning Resources
->
Solved Problems
->
Thermodynamics->
Property Relations

*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)

[Index]

Last Modified on: 01-May-2024

Chemical Engineering Learning Resources - msubbu

e-mail: learn[AT]msubbu.academy

www.msubbu.in