Find the Canonical Equation for the Dieterici Equation of State

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SUMMARY

The discussion focuses on deriving the Canonical Equation of State for Dieterici's equation, as outlined in "Elements of Gasdynamics." The key equations referenced are (∂E/∂S)v=T and (∂E/∂V)s=−P. The user encountered difficulties integrating the pdv term for inclusion in the ds=Q/T equation. Clarification is sought regarding the relevance of an external source, potentially from Cisco, in this context.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically the Canonical Equation of State.
  • Familiarity with Dieterici's equation of state.
  • Knowledge of partial derivatives in thermodynamics.
  • Basic integration techniques in calculus.
NEXT STEPS
  • Research the derivation of the Canonical Equation of State for various gas models.
  • Study Dieterici's equation of state in detail, focusing on its applications and limitations.
  • Explore advanced integration techniques relevant to thermodynamic equations.
  • Investigate the role of external resources, such as Cisco, in thermodynamic discussions.
USEFUL FOR

Students and professionals in thermodynamics, physicists, and engineers working with gas dynamics and state equations will benefit from this discussion.

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

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