Some useful form of the eq. of state of a REAL gas?

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Discussion Overview

The discussion revolves around the equation of state for real gases, specifically focusing on the virial form of the equation and its implications in thermodynamics. Participants seek clarification on the meaning and utility of virial coefficients and the relationship to the van der Waals equation.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant presents the virial form of the equation of state for real gases and questions the meaning of virial coefficients.
  • Another participant asks for clarification on the theoretical derivations leading to the virial form.
  • A different participant inquires about the practical usefulness of the virial equation in thermodynamics.
  • Another participant requests a simple explanation of what a virial equation is.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and seek further clarification, indicating that the discussion remains unresolved with multiple competing views on the usefulness and implications of the virial equation.

Contextual Notes

Participants have not reached consensus on the specific applications or interpretations of the virial equation and its coefficients, and there are indications of missing assumptions regarding the context of their questions.

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It is written that:

Another useful form of the equation of state of a real gas is:

Pv= A + B/v + C/v[itex]^{2}[/itex] + ...

Where A, B, C, .. are functions of temperature and are called the "VIRIAL COEFFICIENTS".
(what does this mean?)

Theoretical derivations of the equation of state, based on an assumed law of force between the molecules of a gas, usually lead to an equation in virial form.
(What does this mean as well?)

Last thing:

The van der Waals equation can be put in he virial form as follows:
Pv=RT(1-b/v)[itex]^{-1}[/itex]-(a/v)
(where did this come from?)



Thanks in advance people :)!
 
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That's an awfully big and vague question you've asked.

Can you narrow it down a bit?

You have posted the viral equation. Tables of virial constants are available as with other thermodynamic data. What more do you want to know?
 
What is its use in thermodynamics?!

I mean at least in what way does it make eq of state of a real gas USEFUL?!

I don't really get it..
 
What is a virial eq? At least a simple hint will do it.
thanks
 

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