Find the Canonical Equation for the Dieterici Equation of State

[Chetty]

Homework Statement

Find the Thermodynamic Canonical Equation of State for the Dieterici Equation of State

Relevant Equations

P=(RT/(v-Beta))*exp(-alpha/(RTv)

In Elements of Gasdynamics the author describes what he calls The Canonical Equation of State where (∂E∂S)v=T and (∂E∂V)s=−P He does a simple one for a perfect gas and uses the enthalpy(T,V) for the Canonical Equation of state. Now he asks to find the Canonical Equation of State for E(V,S) corresponding to Dieterici's equation of state.​

I tried using this in the pdv term but could not integrate it for insertion in the ds=Q/T equation. Any ideas?

 

[Chetty]

It appears that this response is referring to another source. Is that at the listed website cisco?