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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>.
| | *[[Equation of State: Ideal Gas|Ideal Gas]] |
| ==General==
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| *[[Common bulk modulus point]] | |
| *[[Law of corresponding states]]
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| *[[Linear isothermal regularity]]
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| *[[Maxwell's equal area construction]]
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| *[[Tait-Murnaghan relation]]
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| *[[Zeno line]]
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| ==Virial equations of state==
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| *[[Virial equation of state]] | | *[[Virial equation of state]] |
| *[[Second virial coefficient]]
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| *[[Virial coefficients of model systems]] | | *[[Virial coefficients of model systems]] |
| ==Semi-empirical equations of state==
| | *[[van der Waals equation of state]] |
| Naturally, there is the [[Equation of State: Ideal Gas|ideal gas equation]]. However, one of the first to describe realistic substances was the famous [[van der Waals equation of state]]. Since then, many semi-empirical equations have been developed, often in a similar vein to the van der Waals equation of state, each trying to give better estimations of the many
| | *[[Carnahan-Starling equation of state]] |
| gasses and/or liquids that are often of industrial interest.
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| {{columns-list|3|
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| *[[Amagat equation of state |Amagat]]
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| *[[Antoine equation of state |Antoine]]
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| *[[Baonza equation of state |Baonza]]
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| *[[BACK equation of state |BACK]]
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| *[[Battelli equation of state |Battelli]]
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| *[[Beattie-Bridgeman equation of state |Beattie-Bridgeman]]
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| *[[Benedict, Webb and Rubin equation of state |Benedict, Webb, and Rubin]]
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| *[[Berthelot equation of state |Berthelot]]
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| *[[Birch-Murnaghan equation of state |Birch-Murnaghan]]
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| *[[Boltzmann equation|Boltzmann]]
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| *[[Boynton and Bramley equation of state |Boynton and Bramley]]
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| *[[Brillouin equation of state |Brillouin]]
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| *[[Clausius equation of state |Clausius]]
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| *[[Cole equation of state |Cole]]
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| *[[Dalton's law|Dalton]]
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| *[[BACK equation of state |DIBACK]]
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| *[[Dieterici equation of state |Dieterici]]
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| *[[Dupré equation of state |Dupré]]
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| *[[Elliott, Suresh, and Donohue equation of state |Elliott, Suresh, and Donohue]]
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| *[[Fouché equation of state |Fouché]]
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| *[[Goebel equation of state |Goebel]]
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| *[[Hirn equation of state |Hirn]]
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| *[[Holzapfel equation of state |Holzapfel]]
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| *[[Jäger equation of state |Jäger]]
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| *[[Kam equation of state |Kam]]
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| *[[Kumari-Dass equation of state |Kumari-Dass]]
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| *[[Lagrange equation of state |Lagrange]]
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| *[[Leduc equation of state |Leduc]]
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| *[[Linear isothermal regularity]]
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| *[[Lorentz equation of state |Lorenz]]
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| *[[Mie potential|Mie]]
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| *[[BACK equation of state |MOBACK]]
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| *[[Mohsen-Nia, Modarress and Mansoori equation of state |Mohsen-Nia, Modarress, and Mansoori]]
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| *[[Murnaghan equation of state |Murnaghan]]
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| *[[Natanson equation of state |Natanson]]
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| *[[BACK equation of state |NIK]]
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| *[[Onnes equation of state |Onnes]]
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| *[[Peczalski equation of state |Peczalski]]
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| *[[Peng and Robinson equation of state |Peng and Robinson]]
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| *[[Planck equation of state |Planck]]
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| *[[Porter equation of state |Porter]]
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| *[[BACK equation of state |QUABACK]]
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| *[[Rankine equation of state |Rankine]]
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| *[[Recknagel equation of state |Recknagel]]
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| *[[Redlich-Kwong equation of state |Redlich-Kwong]]
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| *[[Reinganum equation of state |Reinganum]]
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| *[[Rose-Vinet (Universal) equation of state |Rose-Vinet]]
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| *[[Sarrau equation of state |Sarrau]]
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| *[[Schiller equation of state |Schiller]]
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| *[[Schrieber equation of state |Schrieber]]
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| *[[Smoluchowski equation|Smoluchowski]]
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| *[[Starkweather equation of state |Starkweather]]
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| *[[Stiffened equation of state |Stiffened]]
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| *[[Tait equation of state |Tait]]
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| *[[Thiesen equation of state |Thiesen]]
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| *[[Tillotson equation of state |Tillotson]]
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| *[[Tumlirz equation of state |Tumlirz]]
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| *[[Twu-Sim-Tassone equation of state |Twu-Sim-Tassone]] | |
| *[[van der Waals equation of state |van der Waals]]
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| *[[Walter equation of state |Walter]]
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| *[[Wohl equation of state |Wohl]]
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| *[[Phase diagrams of water |Water equation of state]]
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| }}
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| ==Other methods==
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| *[[ASOG (Analytical Solution of Groups)]]
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| *[[UNIFAC (Universal Functional Activity Coefficient)]]
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| ==Model systems==
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| Equations of state for [[idealised models]]:
| |
| *[[Equation of State: three-dimensional hard dumbbells | Three-dimensional hard dumbbells]]
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| *[[Equations of state for hard convex bodies| Hard convex bodies]]
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| *[[Equations of state for hard rods | Hard rods]]
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| *[[Equations of state for the Gaussian overlap model | Gaussian overlap model]]
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| *[[Equations of state for the square shoulder model | Square shoulder model]]
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| *[[Equations of state for the square well model | Square well model]]
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| *[[Equations of state for the triangular well model | Triangular well model]]
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| *[[Equations of state for hard spheres]]
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| *[[Equations of state for crystals of hard spheres]]
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| *[[Equations of state for hard sphere mixtures]]
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| *[[Equations of state for hard disks]]
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| *[[Hard ellipsoid equation of state]] | | *[[Hard ellipsoid equation of state]] |
| | *[[Three-dimensional hard dumbbells]] |
| *[[Lennard-Jones equation of state]] | | *[[Lennard-Jones equation of state]] |
| *[[Fused hard sphere chains#Equation of state | Fused hard sphere chains]] | | *[[Water equation of state]] |
| *[[Tetrahedral hard sphere model#Equation of state|Tetrahedral hard sphere model]]
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| ==See also==
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| *[[Pair stress approximation]]
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| *[[Scaled-particle theory]]
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| ==Interesting reading==
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| *[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)]
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| *[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)]
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| *[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)]
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| '''Books'''
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| *"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
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| [[Category: Results]]
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