(1)	$\begin{array}{l}\displaystyle Z^3 - (1-B) \, Z^2 +(A-2B-3B^2) \, Z -(AB-B^2-B^3) = 0\end{array}$

(2)	$\begin{array}{l}\displaystyle A=\frac{a \, \alpha \, p}{ R^2 \, T^2}, \, B=\frac{b \, p}{ R \, T}, \, a = 0.45724 \cdot \frac{R^2 \, T_c^2}{p_c}, \, b = 0.07780 \cdot \frac{R \, T_c}{p_c}, \, \alpha = \left( 1 + \kappa \, (1-T_r^{0.5}) \right)^2\end{array}$

where

$\begin{array}{l}Z\end{array}$	Compressibility factor	$\begin{array}{l}\displaystyle a = 0.45724 \cdot \frac{R^2 \, T_c^2}{p_c}\end{array}$	$\begin{array}{l}M\end{array}$	Gas molar mass
$\begin{array}{l}p\end{array}$	Gas pressure		$\begin{array}{l}R\end{array}$	Gas constant
$\begin{array}{l}T\end{array}$	Gas temperature
$\begin{array}{l}\displaystyle A=\frac{a \, \alpha \, p}{ R^2 \, T^2}\end{array}$
$\begin{array}{l}\displaystyle B=\frac{b \, p}{ R \, T}\end{array}$

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
$\begin{array}{l}Z\end{array}$	Compressibility factor	$\begin{array}{l}T\end{array}$	Gas temperature	$\begin{array}{l}R\end{array}$	Gas constant

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See also