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



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



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


where

LaTeX Math Inline
bodyZ

Compressibility factor

LaTeX Math Inline
bodyp_c

critical pressure

LaTeX Math Inline
bodyp

Gas pressure

LaTeX Math Inline
bodyT_c

critical temperature

LaTeX Math Inline
bodyT

Gas temperature

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bodyT_r = T/T_c

reduced temperature

LaTeX Math Inline
bodyR

Gas constant

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body\omega

accentric factor



where

LaTeX Math Inline
body\rho

Gas density

LaTeX Math Inline
bodyp

Gas pressure

LaTeX Math Inline
bodyM

Gas molar mass

LaTeX Math Inline
bodyZ

Compressibility factor

LaTeX Math Inline
bodyT

Gas temperature

LaTeX Math Inline
bodyR

Gas constant

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