Difference between revisions of "Equations of state"

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'''Equations of state''' are generally expressions that relate the macroscopic observables [[pressure]], <math>p</math>, volume, <math>V</math>, and [[temperature]], <math>T</math>.  
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'''Equations of state''' are generally expressions that relate the macroscopic observables, or ''state variables'', such as  [[pressure]], <math>p</math>, volume, <math>V</math>, and [[temperature]], <math>T</math>.  
 
==General==
 
==General==
 
*[[Common bulk modulus point]]
 
*[[Common bulk modulus point]]
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*[[Second virial coefficient]]
 
*[[Second virial coefficient]]
 
*[[Virial coefficients of model systems]]
 
*[[Virial coefficients of model systems]]
==Empirical equations of state==
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==Semi-empirical equations of state==
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Naturally there is the [[Equation of State: Ideal Gas|ideal gas equation of state]]. However, one of the first steps towards a description of realistic substances was the famous [[van der Waals equation of state]]. Since then a plethora of semi-empirical equations have been developed, often in a similar vein to the van der Waals equation of state, each trying to better reproduce the foibles of the many
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gasses and/or liquids that are often of industrial interest.
 
{{columns-list|3|
 
{{columns-list|3|
 
*[[Amagat equation of state | Amagat]]
 
*[[Amagat equation of state | Amagat]]
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*[[Goebel equation of state | Goebel]]
 
*[[Goebel equation of state | Goebel]]
 
*[[Hirn equation of state |Hirn]]
 
*[[Hirn equation of state |Hirn]]
*[[Equation of State: Ideal Gas|Ideal gas]]
 
 
*[[Jäger equation of state | Jäger]]
 
*[[Jäger equation of state | Jäger]]
 
*[[Kam equation of state | Kam]]
 
*[[Kam equation of state | Kam]]

Revision as of 12:59, 23 September 2010

Equations of state are generally expressions that relate the macroscopic observables, or state variables, such as pressure, p, volume, V, and temperature, T.

General

Virial equations of state

Semi-empirical equations of state

Naturally there is the ideal gas equation of state. However, one of the first steps towards a description of realistic substances was the famous van der Waals equation of state. Since then a plethora of semi-empirical equations have been developed, often in a similar vein to the van der Waals equation of state, each trying to better reproduce the foibles of the many gasses and/or liquids that are often of industrial interest.


Other methods

Model systems

Equations of state for idealised models:

Interesting reading

Books

  • "Equations of State for Fluids and Fluid Mixtures", Eds. J. V. Sengers, R. F. Kayser, C. J. Peters, and H. J. White Jr., Elsevier (2000) ISBN 0-444-50384-6