Fundamental equation (thermodynamics) from Euler's equation

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SUMMARY

The discussion focuses on deriving the fundamental equation of thermodynamics from Euler's equation. Participants highlight that while substituting values into Euler's equation yields most terms of the fundamental equation, the term (N/No)^-(c+1) remains elusive. This term is critical for a complete understanding of the fundamental equation. Clarification on how to derive this specific term is sought by users engaged in thermodynamic analysis.

PREREQUISITES
  • Understanding of Euler's equation in thermodynamics
  • Familiarity with fundamental thermodynamic equations
  • Knowledge of the variables N, No, and c in thermodynamic contexts
  • Basic grasp of mathematical substitution techniques
NEXT STEPS
  • Research the derivation of the fundamental equation from Euler's equation
  • Study the implications of the term (N/No)^-(c+1) in thermodynamic equations
  • Explore advanced thermodynamic concepts related to state functions
  • Examine case studies where Euler's equation is applied in thermodynamic systems
USEFUL FOR

Students and professionals in thermodynamics, physicists, and engineers looking to deepen their understanding of thermodynamic equations and their derivations.

VVS2000
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by substituting all values in the euler equation you get most of the terms in the fundamental equation but not (N/No)^-(c+1)
How do you get this term?
 
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VVS2000 said:
Summary:: So in the fundamental equation, there's this one term which doesn't seem like it should be there but it is.

View attachment 259073View attachment 259074View attachment 259075
by substituting all values in the euler equation you get most of the terms in the fundamental equation but not (N/No)^-(c+1)
How do you get this term?
Your notebook is unreadable.
 

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