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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 fluid pressure 
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bodyp
and fluid temperature 
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bodyT
:

a = frac{R^2, T_c^2pcb R \, T_cpc
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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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B=\frac{b \, p}{ R \, T}
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A= 0.45724 \cdot \
alpha \
cdot \frac{p_r}{
T_
r^2}
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B=
0.07780 \cdot \frac{
p_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

Gas 

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body

T

p

Gas
Fluid 
temperature
pressure

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body

RGas constant

...

T_c

Сritical temperature

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body

\rho

T

Gas
Fluid 
density
temperature

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bodyp_r = p/p_c

Gas 
Reduced pressure

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body

MGas molar mass

R

Gas constant

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bodyT_r = T/T_c

Reduced temperature

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body

ZCompressibility

\omega

Acentric factor



...



Once compressibility Z-factor

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bodyZ(p, T

...

)
 is known the fluid density 

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body\rho
can be calculated as:

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

where

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bodyM

fluid molar massGas constant


See also

...

Natural Science / Physics / Thermodynamics / Real GasState of matter ] [ PVT ] [ Ideal Gas ] Equation of State / Real Gas EOS @model

Real Gas EOS @model ] [  Ideal Gas EOS @model ] ]

Reference

...



Show If
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titleARAX

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