How can I find the adiabatic equation for real gases?

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SUMMARY

The discussion centers on deriving the adiabatic equation for real gases, specifically questioning the applicability of the Van der Waals equation. The user presents the equation (p + a/V²)(V + b)γ = constant and seeks assistance in transforming the equation n Cv dT + an/V + nRT logV/logbn = 0 into a usable form for adiabatic processes. It is established that the Van der Waals equation has limitations and may not be universally applicable for all gases or conditions.

PREREQUISITES
  • Understanding of thermodynamic principles, particularly adiabatic processes.
  • Familiarity with the Van der Waals equation and its limitations.
  • Knowledge of the ideal gas law and its deviations in real gases.
  • Basic calculus skills for solving differential equations.
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  • Research the derivation of the adiabatic equation for real gases using the Van der Waals equation.
  • Study the implications of non-ideal gas behavior on thermodynamic processes.
  • Explore alternative equations of state for real gases, such as the Redlich-Kwong or Peng-Robinson equations.
  • Learn about the application of thermodynamic identities in deriving equations for specific processes.
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Students and professionals in thermodynamics, chemical engineering, and physical chemistry who are working with real gas behavior and adiabatic processes.

AudriusR
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Hey!
Maybe anyone knows, how to get real gas adiabatic equation. It's not a big deal, when you need to get ideal gas equation, but I haven't got any ideas about real gas. I'm wondering maybe it's something with Van der Waals equation, but in my opinion it can't be like this :

(p+a/V2)(V+b)\gamma = constant


So any ideas? It would be great, if you could show me detailed answer.
 
Last edited:
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I got an equation to solve for this, maybe anyone could help :

n Cv dT + an/V + nRT logV/ logbn = 0

How to get exact equation for adiabatic process from this ?
 
The van der Vaal equation does not hold for all gases or all conditions it has limits.
 

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