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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]] | |||
*[[Law of corresponding states]] | *[[Law of corresponding states]] | ||
*[[Beattie-Bridgeman equation of state]] | *[[Linear isothermal regularity]] | ||
*[[Benedict, Webb and Rubin equation of state]] | *[[Maxwell's equal area construction]] | ||
*[[Berthelot equation of state]] | *[[Tait-Murnaghan relation]] | ||
*[[ | *[[Zeno line]] | ||
*[[Clausius equation of state]] | |||
*[[Dieterici equation of state]] | ==Virial equations of state== | ||
*[[Elliott, Suresh, and Donohue equation of state]] | *[[Virial equation of state]] | ||
*[[ | *[[Second virial coefficient]] | ||
*[[Virial coefficients of model systems]] | |||
==Semi-empirical equations of state== | |||
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 | |||
gasses and/or liquids that are often of industrial interest. | |||
{{columns-list|3| | |||
*[[Amagat equation of state | Amagat]] | |||
*[[Antoine equation of state | Antoine]] | |||
*[[Baonza equation of state | Baonza]] | |||
*[[BACK equation of state | BACK]] | |||
*[[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]] | |||
*[[Lorentz equation of state |Lorenz]] | |||
*[[Mie equation of state | Mie]] | |||
*[[BACK equation of state | MOBACK]] | |||
*[[Mohsen-Nia, Modarress and Mansoori equation of state |Mohsen-Nia, Modarress and Mansoori]] | |||
*[[Murnaghan equation of state | Murnaghan]] | |||
*[[Natanson equation of state | Natanson]] | |||
*[[BACK equation of state | NIK]] | |||
*[[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== | |||
Equations of state for [[idealised models]]: | |||
*[[Equation of State: three-dimensional hard dumbbells | Three-dimensional hard dumbbells]] | *[[Equation of State: three-dimensional hard dumbbells | Three-dimensional hard dumbbells]] | ||
*[[Equations of state for hard convex bodies| Hard convex bodies]] | *[[Equations of state for hard convex bodies| Hard convex bodies]] | ||
Line 14: | Line 90: | ||
*[[Equations of state for the square shoulder model | Square shoulder model]] | *[[Equations of state for the square shoulder model | Square shoulder model]] | ||
*[[Equations of state for the square well model | Square well model]] | *[[Equations of state for the square well model | Square 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]] | |||
*[[Hard ellipsoid equation of state]] | *[[Hard ellipsoid equation of state]] | ||
*[[Lennard-Jones equation of state]] | *[[Lennard-Jones equation of state]] | ||
*[[ | *[[Fused hard sphere chains#Equation of state | Fused hard sphere chains]] | ||
*[[ | *[[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 14:11, 19 May 2017
Equations of state are generally expressions that relate the macroscopic observables, or state variables, such as pressure, , volume, , and temperature, .
General
- Common bulk modulus point
- Law of corresponding states
- Linear isothermal regularity
- Maxwell's equal area construction
- Tait-Murnaghan relation
- Zeno line
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.
- Amagat
- Antoine
- Baonza
- BACK
- Battelli
- Beattie-Bridgeman
- Benedict, Webb and Rubin
- Berthelot
- Birch-Murnaghan
- Boltzmann
- Boynton and Bramley
- Brillouin
- Clausius
- Cole
- DIBACK
- Dieterici
- Dupré
- Elliott, Suresh, and Donohue
- Fouché
- Goebel
- Hirn
- Holzapfel
- Jäger
- Kam
- Kumari-Dass
- Lagrange
- Leduc
- Linear isothermal regularity
- Lorenz
- Mie
- MOBACK
- Mohsen-Nia, Modarress and Mansoori
- Murnaghan
- Natanson
- NIK
- Onnes
- Peczalski
- Peng and Robinson
- Planck
- Porter
- QUABACK
- Rankine
- Recknagel
- Redlich-Kwong
- Reinganum
- Rose-Vinet
- Sarrau
- Schiller
- Schrieber
- Smoluchowski
- Starkweather
- Stiffened
- Tait
- Thiesen
- Tillotson
- Tumlirz
- Twu-Sim-Tassone
- van der Waals
- Walter
- Wohl
- Water equation of state
Other methods
Model systems
Equations of state for idealised models:
- Three-dimensional hard dumbbells
- Hard convex bodies
- Hard rods
- Gaussian overlap model
- Square shoulder model
- Square well model
- Triangular well model
- 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 disks
- Hard ellipsoid equation of state
- Lennard-Jones equation of state
- Fused hard sphere chains
- Tetrahedral hard sphere model
See also
Interesting reading
- James A. Beattie and Walter H. Stockmayer "Equations of state", Reports on Progress in Physics 7 pp. 195-229 (1940)
- K. K. Shah and G. Thodos "A Comparison of Equations of State", Industrial & Engineering Chemistry 57 pp. 30-37 (1965)
- 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