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

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

B=\frac{b \, p}{ R \, Ta 45724R^2 \, T_c^2}{c} b = 0.07780 \cdot \frac{R \, T_c}{p_c}
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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 0.45724 \,cdot \alpha \, p}{ R^2 \, T^2}
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cdot \frac{p_r}{T_r^2}
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B=
0.
07780 \cdot \frac{
p_
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r}{T_r}
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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

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bodyZ

Compressibility factor

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bodyp_c

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bodyp

GasFluid pressure

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bodyT_c

critical Сritical temperature

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bodyT

GasFluid temperature

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bodyTp_r = Tp/Tp_c

reduced temperatureReduced pressure

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bodyR

Gas constant

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bodyT_r = T/T_c

Reduced temperature

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body\omega

accentric Acentric factor





Once compressibility Z-factor

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bodyZ(p, T)
 is known the gasfluid density 
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body\rho
can be calculated as:

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where

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bodyM

Gasfluid molar mass


See also

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Natural Science / Physics / Thermodynamics / Real GasEquation of State / Real Gas EOS @model

Real Gas ]

Reference

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Ding-Yu Peng and Donald B. Robinson, A New Two-Constant Equation of State, Industrial & Engineering Chemistry Fundamentals, 1976.pdf