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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
:

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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} LaTeX Math Block
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B=\frac{b \, p}{ R \, T
cdot \frac{p_r}{T_r^2}
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a
B=
0.
45724
07780 \cdot \frac{
R^2 \, T_c^2}{
p_
c} LaTeX Math Block
anchorWRWJ4
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b = 0.07780 \cdot \frac{R \, T_c}{p_c
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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bodyM

Gas molar mass

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bodyZ

Compressibility factor

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body

--uriencoded--\displaystyle a = 0.45724 \cdot \frac%7BR%5e2 \, T_c%5e2%7D%7Bp_c%7D

p_c

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bodyp

Gas
Fluid pressure

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RGas constant

T_c

Сritical temperature

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bodyT

Gas
Fluid temperature

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--uriencoded--\displaystyle A=\frac%7Ba \, \alpha \, p%7D%7B R%5e2 \, T%5e2%7D

p_r = p/p_c

Reduced pressure

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--uriencoded--\displaystyle B=\frac%7Bb \, p%7D%7B

R

\, T%7D

...

Gas constant

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\rhoGas density

T_r = T/T_c

Reduced temperature

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pGas pressure

\omega

Acentric factor



...



Once compressibility Z-factor

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...

Z(p, T)
 is known the fluid density 

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body

...

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bodyT

\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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bodyRM

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