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Equation of State for the Real Gas:

(1)	$\begin{array}{l}\displaystyle \rho(p, T) = \frac{1}{Z} \cdot \frac{M}{R} \cdot \frac{p}{T}\end{array}$

where

$\begin{array}{l}\rho\end{array}$	Gas density	$\begin{array}{l}p\end{array}$	Gas pressure	$\begin{array}{l}M\end{array}$	Gas molar mass
$\begin{array}{l}Z(T, p)\end{array}$	Compressibility factor	$\begin{array}{l}T\end{array}$	Gas temperature	$\begin{array}{l}R\end{array}$	Gas constant

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

The Compressibility factor $\begin{array}{l}Z(p, T)\end{array}$ pressure-temperature dependence is usually modelled through the reduced properties $\begin{array}{l}Z(T_r, p_r)\end{array}$ , where:

$\begin{array}{l}T_r = T/T_c\end{array}$	Reduced Temperature	$\begin{array}{l}T_c\end{array}$	Сritical temperature
$\begin{array}{l}p_r = p/p_c\end{array}$	Reduced Pressure	$\begin{array}{l}p_c\end{array}$	Critical pressure

Below is the list of the most popular correlations for Compressibility factor $\begin{array}{l}Z(T_r, p_r)\end{array}$ :

Peng–Robinson-Stryjek-Vera (PRSV ) EOS @model

Peng–Robinson (PR) EOS @model

Soave-Redlich-Kwong (SRK) EOS @model

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See also

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Real Gas EOS @model

See also