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@wikipedia


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Z^3 - (1-B) \, Z^2 +(A-2B-3B^2) \, Z -(AB-B^2-B^3) = 0



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A=\frac{a \, \alpha \, p}{ R^2 \, T^2}

B=\frac{b \, p}{ R \, T}



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a = 0.45724 \cdot \frac{R^2 \, T_c^2}{p_c}



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b = 0.07780 \cdot \frac{R \, T_c}{p_c}






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\alpha = \left( 1 + \kappa \, (1-T_r^{0.5}) \right)^2



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...

\

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kappa = 0.37464 + 1.54226 \, \omega -0.26992 \, \omega^2





where

M

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bodyZ

Compressibility factor

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body--uriencoded--\displaystyle a = 0.45724 \cdot \frac%7BR%5e2 \, T_c%5e2%7D%7Bp_c%7D

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bodyGas molar mass





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bodyp

Gas pressure





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bodyR

Gas constant

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bodyT

Gas temperature



--uriencoded--\displaystyle B=\frac%7Bb \, p%7D%7B R \, T%7D
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body--uriencoded--\displaystyle A=\frac%7Ba \, \alpha \, p%7D%7B R%5e2 \, T%5e2%7D
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body
R

Gas constant











where

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body\rho

Gas density

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bodyp

Gas pressure

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bodyM

Gas molar mass

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bodyZ

Compressibility factor

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bodyT

Gas temperature

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bodyR

Gas constant

...