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@wikipedia


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

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 as a function of fluid pressure 
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and fluid temperature 
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:

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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=

...

 0.45724 \

...

cdot \alpha \

...

cdot \frac{p_r}{T_r^2}
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B=0.07780 \cdot \frac

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{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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ZCompressibility factor LaTeX Math Inlinebody--uriencoded--\displaystyle a = 0.45724 \cdot \frac%7BR%5e2 \, T_c%5e2%7D%7Bp_c%7D
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\kappa = 0.37464 + 1.54226 \, \omega -0.26992 \, \omega^2

where

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Compressibility factor

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MGas molar mass

p_c

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Gas
Fluid pressure

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RGas constant

T_c

Сritical temperature

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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



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Once compressibility Z-factor

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Z(p, T)
 is known the fluid density 

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\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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...

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fluid molar massGas constant


See also

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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

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