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- 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?