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Implicit Implicit Z-factor Correlations correlation @model for the natural gas in the wide range of pseudo-reduced temperature 

LaTeX Math Inline
body--uriencoded--1.0 < T_%7Bpr%7D \leq 3.0
 and pseudo-reduced pressure 
LaTeX Math Inline
body--uriencoded--0.2 \leq P_%7Bpr%7D \leq 30

and also a specific range of

LaTeX Math Inline
body--uriencoded--0.7 < T_%7Bpr%7D \leq 1.0
 and
LaTeX Math Inline
body--uriencoded--P_%7Bpr%7D < 1.0
:

LaTeX Math Block
anchorz
alignmentleft
Z = \frac{0.27 \, P_{pr}}{y \, T_{pr}}
LaTeX Math Block
anchory
alignmentleft
1 + T_1 \, y  +T_2 \, y^2 + T_3 \, y^5 + T_4 \, y^2 \, (1+ A_8 \, y^2) \cdot \exp \left( - A_8 \, y^2  \right)  - \frac{T_5}{y} = 0


LaTeX Math Block
anchorA
alignmentleft
T_1 = A_1 + \frac{A_2
\, t
}{ T_{pr} } + \frac{A_3
\, t^3 
}{ T_{pr}^3 }
LaTeX Math Block
anchorB
alignmentleft
T_2 = A_4 + \frac{A_5
\, \cdot t
}{ T_{pr} }
LaTeX Math Block
anchorD
alignmentleft
T_3 = \frac{A_5 \, A_6
\, t
}{T_{pr}}
LaTeX Math Block
anchorE
alignmentleft
T_
5
4 =
0.27
 \
, P
frac{A_7 }{T_{pr}^3}
\, t
 LaTeX Math Block
anchor
t
E
alignmentleft
t
T_5 = \frac
{1
{0.27 \, P_{pr} }{T_{pr}}
where
 LaTeX Math Inline
bodyZ
Z-factor
 LaTeX Math Inline
bodyT
fluid temperature 
 LaTeX Math Inline
body--uriencoded--T_%7Bpr%7D = T/T_%7Bpc%7D
pseudo-reduced temperature 
(or reduced temperature 
 LaTeX Math Inline
body--uriencoded--T_%7Br%7D
 in case of pure substances)
 LaTeX Math Inline
body--uriencoded--T_%7Bpc%7D
 pseudo-critical temperature 
(or critical temperature 
 LaTeX Math Inline
body--uriencoded--T_%7Bc%7D
 in case of pure substances)
 LaTeX Math Inline
bodyP
fluid pressure
 LaTeX Math Inline
body--uriencoded--P_%7Bpr%7D = P/P_%7Bpc%7D
pseudo-reduced pressure 
(or reduced pressure 
 LaTeX Math Inline
body--uriencoded--P_%7Br%7D
 in case of pure substances)
 LaTeX Math Inline
body--uriencoded--P_%7Bpc%7D
 pseudo-critical pressure 
(or critical pressure 
 LaTeX Math Inline
body--uriencoded--P_%7Bc%7D
 in case of pure substances)
and
 LaTeX Math Inline
bodyA_1 = 0.
3265
31506237
 LaTeX Math Inline
bodyA_2 = -1.
070
0467099
 LaTeX Math Inline
bodyA_3 = -0.
5339
57832729
 LaTeX Math Inline
bodyA_4 = 0.
01569
53530771
 LaTeX Math Inline
bodyA_5 = -0.
05165
61232032
 LaTeX Math Inline
bodyA_6 = -0.
5475
10488813
 LaTeX Math Inline
bodyA_7 = 
 -
 0.
7361
68157001
 LaTeX Math Inline
bodyA_8 = 0.
1844
 LaTeX Math Inline
bodyA_9 = 0.1056
 LaTeX Math Inline
body--uriencoded--A_%7B10%7D = 0.6134 
 LaTeX Math Inline
body--uriencoded--A_%7B11%7D = 0.7210
68446549
See also
...
Natural Science / Physics /Thermodynamics / Z-factor / Z-factor Correlations @model
Reference
...
Dranchuk, P.M., Purvis, R.A., and D.B. Robinson. "Computer Calculation Of Natural Gas Compressibility Factors Using The Standing And Katz Correlation." Paper presented at the Annual Technical Meeting, Edmonton, May 1973. doi: https://doi.org/10.2118/73-112https://rdrr.io/github/f0nzie/zFactor/man/Dranchuk-Purvis-Robinson.html