Equations of state: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
m (→‎Semi-empirical equations of state: fixed several grammatical errors)
 
(25 intermediate revisions by 6 users not shown)
Line 1: Line 1:
'''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]]
*[[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]]. 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
*[[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|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]]
*[[Dalton's law|Dalton]]
*[[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]]
*[[Murnaghan equation of state]]
*[[Lorentz equation of state |Lorenz]]
*[[Peng and Robinson equation of state]]
*[[Mie potential|Mie]]
*[[Redlich-Kwong equation of state]]
*[[BACK equation of state |MOBACK]]
*[[Wohl equation of state]]
*[[Mohsen-Nia, Modarress and Mansoori equation of state |Mohsen-Nia, Modarress, and Mansoori]]
*[[Water equation of state]]
*[[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|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]]:
Line 41: Line 99:
*[[Lennard-Jones equation of state]]
*[[Lennard-Jones equation of state]]
*[[Fused hard sphere chains#Equation of state | Fused hard sphere chains]]
*[[Fused hard sphere chains#Equation of state | Fused hard sphere chains]]
 
*[[Tetrahedral hard sphere model#Equation of state|Tetrahedral hard sphere model]]
==Top-5 most viewed equations of state==
==See also==
{{Popular equations of state}}
*[[Pair stress approximation]]
 
*[[Scaled-particle theory]]
==Interesting reading==
==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/10.1088/0034-4885/7/1/312 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/10.1021/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)]
*[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]]
[[Category: Results]]

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]

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.


Other methods[edit]

Model systems[edit]

Equations of state for idealised models:

See also[edit]

Interesting reading[edit]

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
Retrieved from "http://www.sklogwiki.org/SklogWiki/index.php?title=Equations_of_state&oldid=20503"