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*[[Virial coefficients of model systems]] | *[[Virial coefficients of model systems]] | ||
==Semi-empirical equations of state== | ==Semi-empirical equations of state== | ||
Naturally there is the [[Equation of State: Ideal Gas|ideal gas equation | 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 | ||
gasses and/or liquids that are often of industrial interest. | 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]] | ||
*[[Antoine equation of state | Antoine]] | *[[Antoine equation of state |Antoine]] | ||
*[[Baonza equation of state | Baonza]] | *[[Baonza equation of state |Baonza]] | ||
*[[BACK equation of state |BACK]] | |||
*[[Battelli equation of state |Battelli]] | *[[Battelli equation of state |Battelli]] | ||
*[[Beattie-Bridgeman equation of state | Beattie-Bridgeman]] | *[[Beattie-Bridgeman equation of state |Beattie-Bridgeman]] | ||
*[[Benedict, Webb and Rubin equation of state |Benedict, Webb and Rubin ]] | *[[Benedict, Webb and Rubin equation of state |Benedict, Webb, and Rubin]] | ||
*[[Berthelot equation of state | Berthelot]] | *[[Berthelot equation of state |Berthelot]] | ||
*[[Birch-Murnaghan equation of state |Birch-Murnaghan]] | *[[Birch-Murnaghan equation of state |Birch-Murnaghan]] | ||
*[[Boltzmann equation | *[[Boltzmann equation|Boltzmann]] | ||
*[[Boynton and Bramley equation of state | Boynton and Bramley]] | *[[Boynton and Bramley equation of state |Boynton and Bramley]] | ||
*[[Brillouin equation of state | Brillouin]] | *[[Brillouin equation of state |Brillouin]] | ||
*[[Clausius equation of state | Clausius]] | *[[Clausius equation of state |Clausius]] | ||
*[[Cole equation of state | Cole]] | *[[Cole equation of state |Cole]] | ||
*[[Dieterici equation of state | Dieterici]] | *[[Dalton's law|Dalton]] | ||
*[[BACK equation of state |DIBACK]] | |||
*[[Dieterici equation of state |Dieterici]] | |||
*[[Dupré equation of state |Dupré]] | *[[Dupré equation of state |Dupré]] | ||
*[[Elliott, Suresh, and Donohue equation of state |Elliott, Suresh, and Donohue]] | *[[Elliott, Suresh, and Donohue equation of state |Elliott, Suresh, and Donohue]] | ||
*[[Fouché equation of state | Fouché]] | *[[Fouché equation of state |Fouché]] | ||
*[[Goebel equation of state | Goebel]] | *[[Goebel equation of state |Goebel]] | ||
*[[Hirn equation of state |Hirn]] | *[[Hirn equation of state |Hirn]] | ||
*[[Holzapfel equation of state | Holzapfel]] | *[[Holzapfel equation of state |Holzapfel]] | ||
*[[Jäger equation of state | Jäger]] | *[[Jäger equation of state |Jäger]] | ||
*[[Kam equation of state | Kam]] | *[[Kam equation of state |Kam]] | ||
*[[Kumari-Dass equation of state | Kumari-Dass]] | *[[Kumari-Dass equation of state |Kumari-Dass]] | ||
*[[Lagrange equation of state | Lagrange]] | *[[Lagrange equation of state |Lagrange]] | ||
*[[Leduc equation of state | Leduc]] | *[[Leduc equation of state |Leduc]] | ||
*[[Linear isothermal regularity]] | *[[Linear isothermal regularity]] | ||
*[[Lorentz equation of state |Lorenz]] | *[[Lorentz equation of state |Lorenz]] | ||
*[[Mie equation of state | | *[[Mie potential|Mie]] | ||
*[[Mohsen-Nia, Modarress and Mansoori equation of state |Mohsen-Nia, Modarress and Mansoori]] | *[[BACK equation of state |MOBACK]] | ||
*[[Murnaghan equation of state | Murnaghan]] | *[[Mohsen-Nia, Modarress and Mansoori equation of state |Mohsen-Nia, Modarress, and Mansoori]] | ||
*[[Natanson equation of state | Natanson]] | *[[Murnaghan equation of state |Murnaghan]] | ||
*[[Onnes equation of state | Onnes]] | *[[Natanson equation of state |Natanson]] | ||
*[[BACK equation of state |NIK]] | |||
*[[Onnes equation of state |Onnes]] | |||
*[[Peczalski equation of state |Peczalski]] | *[[Peczalski equation of state |Peczalski]] | ||
*[[Peng and Robinson equation of state |Peng and Robinson]] | *[[Peng and Robinson equation of state |Peng and Robinson]] | ||
*[[Planck equation of state |Planck]] | *[[Planck equation of state |Planck]] | ||
*[[Porter equation of state | Porter]] | *[[Porter equation of state |Porter]] | ||
*[[BACK equation of state |QUABACK]] | |||
*[[Rankine equation of state |Rankine]] | *[[Rankine equation of state |Rankine]] | ||
*[[Recknagel equation of state | Recknagel]] | *[[Recknagel equation of state |Recknagel]] | ||
*[[Redlich-Kwong equation of state | Redlich-Kwong]] | *[[Redlich-Kwong equation of state |Redlich-Kwong]] | ||
*[[Reinganum equation of state | Reinganum]] | *[[Reinganum equation of state |Reinganum]] | ||
*[[Rose-Vinet (Universal) equation of state | Rose-Vinet]] | *[[Rose-Vinet (Universal) equation of state |Rose-Vinet]] | ||
*[[Sarrau equation of state | Sarrau]] | *[[Sarrau equation of state |Sarrau]] | ||
*[[Schiller equation of state | Schiller]] | *[[Schiller equation of state |Schiller]] | ||
*[[Schrieber equation of state | Schrieber]] | *[[Schrieber equation of state |Schrieber]] | ||
*[[Smoluchowski equation | *[[Smoluchowski equation|Smoluchowski]] | ||
*[[Starkweather equation of state |Starkweather ]] | *[[Starkweather equation of state |Starkweather]] | ||
*[[Tait equation of state | Tait]] | *[[Stiffened equation of state |Stiffened]] | ||
*[[Tait equation of state |Tait]] | |||
*[[Thiesen equation of state |Thiesen]] | *[[Thiesen equation of state |Thiesen]] | ||
*[[Tillotson equation of state | Tillotson]] | *[[Tillotson equation of state |Tillotson]] | ||
*[[Tumlirz equation of state | Tumlirz]] | *[[Tumlirz equation of state |Tumlirz]] | ||
*[[Twu-Sim-Tassone equation of state | Twu-Sim-Tassone]] | *[[Twu-Sim-Tassone equation of state |Twu-Sim-Tassone]] | ||
*[[van der Waals equation of state | van der Waals]] | *[[van der Waals equation of state |van der Waals]] | ||
*[[Walter equation of state | Walter]] | *[[Walter equation of state |Walter]] | ||
*[[Wohl equation of state | Wohl]] | *[[Wohl equation of state |Wohl]] | ||
*[[Phase diagrams of water | Water equation of state]] | *[[Phase diagrams of water |Water equation of state]] | ||
}} | }} | ||
Latest revision as of 01:34, 1 June 2021
Equations of state are generally expressions that relate the macroscopic observables, or state variables, such as pressure, , volume, , and temperature, .
General[edit]
- 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[edit]
Semi-empirical equations of state[edit]
Naturally, there is the 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 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
- Dalton
- 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[edit]
Model systems[edit]
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[edit]
Interesting reading[edit]
- 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