Compressibility Factors Using the Soave-Redlich-Kwong Equation of State

​
reduced temperature
T
r
1.
The Soave–Redlich–Kwong equation of state can accurately describe a compound in both liquid and vapor phases. This Demonstration applies this equation of state to estimate and plot the compressibility factor,
Z=
PV
RT
, versus reduced pressure,
P
r
=
P
P
c
, for ethane at various values of the reduced temperature,
T
r
=
T
T
c
.​

Details

In the Soave–Redlich–Kwong equation of state, the compressibility factor is a solution of the following cubic equation:
f(Z)=
3
Z
-
2
Z
+(A-B-
2
B
)Z-AB=0
,
where
A=
aP
2
(RT)
and
B=
bP
RT
with
a=0.42748α
2
(R
T
c
)

P
c
,
b=0.08664R
T
c
/
P
c
,
α=
2
(1+m(1-
T
r
))
, and
m=0.480+1.574ω-0.176
2
ω
. Here
ω
is the acentric factor,
T
c
and
P
c
are the critical temperature and pressure, and
T
r
=
T
T
c
is the reduced temperature.
For ethane,
T
c
=305.43K
,
P
c
=48.84bar
, and
ω=0.09860
.
For more information on the compressibility factor, see http://en.citizendium.org/wiki/Compressibility_factor.

References

[1] Z. Nasri and H. Binous, "Applications of the Soave-Redlich-Kwong Equation of State Using Mathematica," Journal of Chemical Engineering of Japan, 40(6), 2007 pp. 534–538.

Permanent Citation

Housam Binous
​
​"Compressibility Factors Using the Soave-Redlich-Kwong Equation of State"​
​http://demonstrations.wolfram.com/CompressibilityFactorsUsingTheSoaveRedlichKwongEquationOfSta/​
​Wolfram Demonstrations Project​
​Published: December 23, 2010