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@wikipedia


Equation of State for the Real Gas:

LaTeX Math Block
anchorEOSIG
alignmentleft
\rho(p, T) = \frac{1}{Z} \cdot \frac{M}{R} \cdot \frac{p}{T}

...

LaTeX Math Inline
body\rho

Gas density

LaTeX Math Inline
bodyp

Gas pressure

LaTeX Math Inline
bodyM

Gas molar mass

LaTeX Math Inline
bodyZ(T, p)

Compressibility factor

LaTeX Math Inline
bodyT

Gas temperature

LaTeX Math Inline
bodyR

Gas constant


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


Pure Substances

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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)

LaTeX Math Inline
bodyT_r = T/T_c

Reduced Temperature

LaTeX Math Inline
bodyT_c

Сritical temperature

LaTeX Math Inline
bodyp_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)

LaTeX Math Inline
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

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

...

Ideal Gas EOS @model ]

...

...

Soave-Redlich-Kwong (SRK) EOS @model ]

...

[ 

...

Peng–Robinson EOS @model ] 

...

Reduced 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