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@wikipedia


Equation of State for the Real Gas:

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anchorEOSIG
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\rho(p \, VT) = \frac{1}{Z} \cdot \nufrac{M}{R} \,cdot R \, T\frac{p}{T}

where

LaTeX Math Inline
body\rho

Gas density

LaTeX Math Inline
bodyp

gas
Gas pressure

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body

Vgas volume

M

Gas molar mass

LaTeX Math Inline
bodyZ(T, p)

Compressibility factor

LaTeX Math Inline
bodyT

gas
Gas temperature

LaTeX Math Inline
bodyR

\nuamount of gas substance
Gas constant


Despite the name it covers a lot of medium-density liquids as well.


Pure Substances

...


The 
Z-factor

LaTeX Math Inline
bodyZ(p, T)
 of pure substances is usually modelled through the reduced fluid properties
LaTeX Math Inline
body(T_r, p_r)

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bodyT_r = T/T_c

Reduced Temperature

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bodyT_c

Сritical temperature

LaTeX Math Inline
body

Rgas constant

p_r = p/p_c

Reduced Pressure

LaTeX Math Inline
bodyp_c

Critical pressure


Below is the list of the most popular 
Real Gas EOS @models: 



Fluid Mixtures

...


The 
Z

...

-factor

LaTeX Math Inline
bodyZ(p, T)
 of fluid mixtures is usually modelled through the pseudo-reduced fluid properties
LaTeX Math Inline
body--uriencoded--(T_%7Bpr%7D, p_%7Bpr%7D)

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body--uriencoded--T_%7Bpr%7D = T/T_%7Bpc%7D

Reduced Temperature

LaTeX Math Inline
body--uriencoded--T_%7Bpc%7D

Pseudo-critical temperature

LaTeX Math Inline
body--uriencoded--p_%7Bpr%7D = p/p_%7Bpc%7D

Reduced Pressure

LaTeX Math Inline
body--uriencoded--p_%7Bpc%7D

Pseudo-critical pressure


See Z-factor Correlations @model for the charts, implicit and explicit empirical correlations on fluid mixture Z-factor

LaTeX Math Inline
body--uriencoded--Z(T_%7Bpr%7D, p_%7Bpr%7D)
.


See also

...

Natural Science / Physics / Thermodynamics / Thermodynamic system Equation of State /  Real Gas

State of matter ] [ PVTIdeal Gas EOS @model ][ Soave-Redlich-Kwong (SRK) EOS @model ][ Peng–Robinson EOS @model ] 

Ideal Gas EOSReduced Fluid Properties ]Pseudo-Reduced Fluid Properties ]


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References


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[pdf] Ibrahim Ashour et al, Applications of Equations of State in the Oil and Gas Industry, 2011, www.intechopen.com