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@wikipedia


One of the cubic equations of real gas state defining the Compressibility factor 

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bodyZ(p, T)
 as a function of Gas pressure 
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bodyp
and Gas temperature 
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bodyT
:


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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}



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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


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