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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
:

...

LaTeX Math Inline
bodyZ

Compressibility factor

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bodyp_c

LaTeX Math Inline
bodyp

GasFluid pressure

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bodyT_c

Сritical temperature

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bodyT

Fluid temperature

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bodyp_r = p/p_c

Reduced pressure

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bodyTR

Gas  temperatureconstant

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bodyT_r = T/T_c

Reduced Temperaturetemperature

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R
body

Gas constant

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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 / Equation 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