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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==
*[[Common bulk modulus point]]
*[[Common bulk modulus point]]
*[[Law of corresponding states]]
*[[Law of corresponding states]]
*[[Linear isothermal regularity]]
*[[Linear isothermal regularity]]
*[[Maxwell's equal area construction]]
*[[Tait-Murnaghan relation]]
*[[Tait-Murnaghan relation]]
*[[Zeno line]]
*[[Zeno line]]
==Virial equations of state==
==Virial equations of state==
*[[Virial equation of state]]
*[[Virial equation of state]]
*[[Second virial coefficient]]
*[[Second virial coefficient]]
*[[Virial coefficients of model systems]]
*[[Virial coefficients of model systems]]
==Empirical equations of state==
==Semi-empirical equations of state==
*[[Equation of State: Ideal Gas|Ideal Gas]]
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
*[[van der Waals equation of state]]
gasses and/or liquids that are often of industrial interest.
*[[Beattie-Bridgeman equation of state]]
{{columns-list|3|
*[[Benedict, Webb and Rubin equation of state]]
*[[Amagat equation of state | Amagat]]
*[[Berthelot equation of state]]
*[[Antoine equation of state | Antoine]]
*[[Clausius equation of state]]
*[[Baonza equation of state | Baonza]]
*[[Dieterici equation of state]]
*[[BACK equation of state | BACK]]
*[[Elliott, Suresh, and Donohue  equation of state]]
*[[Battelli equation of state |Battelli]]
*[[Beattie-Bridgeman equation of state | Beattie-Bridgeman]]
*[[Benedict, Webb and Rubin equation of state |Benedict, Webb and Rubin ]]
*[[Berthelot equation of state | Berthelot]]
*[[Birch-Murnaghan equation of state |Birch-Murnaghan]]
*[[Boltzmann equation of state | Boltzmann]]
*[[Boynton and Bramley equation of state | Boynton and Bramley]]
*[[Brillouin equation of state | Brillouin]]
*[[Clausius equation of state | Clausius]]
*[[Cole equation of state | Cole]]
*[[BACK equation of state | DIBACK]]
*[[Dieterici equation of state | Dieterici]]
*[[Dupré equation of state |Dupré]]
*[[Elliott, Suresh, and Donohue  equation of state |Elliott, Suresh, and Donohue]]
*[[Fouché equation of state | Fouché]]
*[[Goebel equation of state | Goebel]]
*[[Hirn equation of state |Hirn]]
*[[Holzapfel equation of state | Holzapfel]]
*[[Jäger equation of state | Jäger]]
*[[Kam equation of state | Kam]]
*[[Kumari-Dass equation of state | Kumari-Dass]]
*[[Lagrange equation of state | Lagrange]]
*[[Leduc equation of state | Leduc]]
*[[Linear isothermal regularity]]
*[[Linear isothermal regularity]]
*[[Peng and Robinson equation of state]]
*[[Lorentz equation of state |Lorenz]]
*[[Redlich-Kwong equation of state]]
*[[Mie equation of state | Mie]]
*[[Wohl equation of state]]
*[[BACK equation of state | MOBACK]]
*[[Water equation of state]]
*[[Mohsen-Nia, Modarress and Mansoori equation of state |Mohsen-Nia, Modarress and Mansoori]]
====General reading====
*[[Murnaghan equation of state | Murnaghan]]
#[http://dx.doi.org/10.1088/0034-4885/7/1/312 James A. Beattie and Walter H. Stockmayer "Equations of state", Reports on Progress in Physics '''7''' pp. 195-229 (1940)]
*[[Natanson equation of state | Natanson]]
#[http://dx.doi.org/10.1088/0034-4885/28/1/306 J. S. Rowlinson "The equation of state of dense systems", Reports on Progress in Physics '''28''' pp. 169-199  (1965)]
*[[BACK equation of state | NIK]]
#[http://dx.doi.org/10.1021/ie50663a005 K. K. Shah and G. Thodos "A Comparison of Equations of State", Industrial & Engineering Chemistry '''57''' pp. 30 - 37 (1965)]
*[[Onnes equation of state | Onnes]]
*[[Peczalski equation of state |Peczalski]]
*[[Peng and Robinson equation of state |Peng and Robinson]]
*[[Planck equation of state |Planck]]
*[[Porter equation of state | Porter]]
*[[BACK equation of state | QUABACK]]
*[[Rankine equation of state |Rankine]]
*[[Recknagel equation of state | Recknagel]]
*[[Redlich-Kwong equation of state | Redlich-Kwong]]
*[[Reinganum equation of state | Reinganum]]
*[[Rose-Vinet (Universal) equation of state | Rose-Vinet]]
*[[Sarrau equation of state | Sarrau]]
*[[Schiller equation of state | Schiller]]
*[[Schrieber equation of state | Schrieber]]
*[[Smoluchowski equation of state | Smoluchowski]]
*[[Starkweather equation of state |Starkweather ]]
*[[Stiffened equation of state | Stiffened]]
*[[Tait equation of state | Tait]]
*[[Thiesen equation of state |Thiesen]]
*[[Tillotson equation of state | Tillotson]]
*[[Tumlirz equation of state | Tumlirz]]
*[[Twu-Sim-Tassone equation of state | Twu-Sim-Tassone]]
*[[van der Waals equation of state | van der Waals]]
*[[Walter equation of state | Walter]]
*[[Wohl equation of state | Wohl]]
*[[Phase diagrams of water | Water equation of state]]
}}
 
==Other methods==
*[[ASOG (Analytical Solution of Groups)]]
*[[UNIFAC (Universal Functional Activity Coefficient)]]
==Model systems==
==Model systems==
Equations of state for [[idealised models]]:
Equations of state for [[idealised models]]:
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*[[Equations of state for the triangular well model | Triangular well model]]
*[[Equations of state for the triangular well model | Triangular well model]]
*[[Equations of state for hard spheres]]
*[[Equations of state for hard spheres]]
*[[Equations of state for crystals of hard spheres]]
*[[Equations of state for hard sphere mixtures]]
*[[Equations of state for hard sphere mixtures]]
*[[Equations of state for hard disks]]
*[[Equations of state for hard disks]]
*[[Hard ellipsoid equation of state]]
*[[Hard ellipsoid equation of state]]
*[[Lennard-Jones equation of state]]
*[[Lennard-Jones equation of state]]
[[Category: Equations of state]]
*[[Fused hard sphere chains#Equation of state | Fused hard sphere chains]]
__NOTOC__
*[[Tetrahedral hard sphere model#Equation of state|Tetrahedral hard sphere model]]
==See also==
*[[Pair stress approximation]]
*[[Scaled-particle theory]]
==Interesting reading==
*[http://dx.doi.org/10.1088/0034-4885/7/1/312 James A. Beattie and Walter H. Stockmayer "Equations of state", Reports on Progress in Physics '''7''' pp. 195-229 (1940)]
*[http://dx.doi.org/10.1021/ie50663a005 K. K. Shah and G. Thodos "A Comparison of Equations of State", Industrial & Engineering Chemistry '''57''' pp. 30-37 (1965)]
*[http://dx.doi.org/10.1088/0034-4885/28/1/306 J. S. Rowlinson "The equation of state of dense systems", Reports on Progress in Physics '''28''' pp. 169-199  (1965)]
'''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
[[Category: Results]]

Revision as of 13:11, 19 May 2017

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

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:

See also

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