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Equation of State for the Real Gas:

(1) \rho(p, T) = \frac{1}{Z} \cdot \frac{M}{R} \cdot \frac{p}{T}

where

\rho

Gas density

p

Gas pressure

M

Gas molar mass

Z(T, p)

Compressibility factor

T

Gas temperature

R

Gas constant


Despite the name it covers a lot of medium-density liquids as well.

Pure Substances



The 
Z-factor Z(p, T) of pure substances is usually modelled through the reduced fluid properties (T_r, p_r)

T_r = T/T_c

Reduced Temperature

T_c

Сritical temperature

p_r = p/p_c

Reduced Pressure

p_c

Critical pressure


Below is the list of the most popular 
Real Gas EOS @models: 


Fluid Mixtures



The 
Z-factor Z(p, T) of fluid mixtures is usually modelled through the pseudo-reduced fluid properties (T_{pr}, p_{pr})

T_{pr} = T/T_{pc}

Reduced Temperature

T_{pc}

Pseudo-critical temperature

p_{pr} = p/p_{pc}

Reduced Pressure

p_{pc}

Pseudo-critical pressure


See Z-factor Correlations @model for the charts, implicit and explicit empirical correlations on fluid mixture Z-factor Z(T_{pr}, p_{pr}).

See also


Natural Science / Physics / Thermodynamics / Thermodynamic system Equation of State /  Real Gas

Ideal Gas EOS @model ][ Soave-Redlich-Kwong (SRK) EOS @model ][ Peng–Robinson EOS @model ] 

Reduced Fluid Properties ][ Pseudo-Reduced Fluid Properties ]







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