Soave-Redlich-Kwong equation of state
The Soave-Redlich-Kwong equation of state is an equation of state for real gases and a further development of the Redlich-Kwong equation of state .
Equation of state
Soave-Redlich-Kwong's equation of state is
The individual symbols stand for the following quantities :
- - molar volume
- - temperature
- - critical temperature
- - pressure
- - critical pressure
- - universal gas constant
- - cohesive pressure
- - covolume
With this equation, a significant improvement was achieved in 1972 compared to the Van der Waals equation by introducing an additional correspondence parameter and thus taking into account subtleties in the molecular structure, such as a deviation from the spherical shape. To do this, Giorgio Soave replaced the term in the Redlich-Kwong equation with the function :
A specification of the function reads
For hydrogen also applies
Dimensionless form
With the compressibility factor and the dimensionless parameters and follows the formulation of the Soave-Redlich-Kwong equation of state as a cubic polynomial
the Z. B. can be solved analytically with the Cardan formulas .
parameter
From the conditions at the critical point
the two parameters follow the equation of state
with the two constants
See also
- PSRK equation of state ( predictive Soave-Redlich-Kwong equation of state ): A method for estimating mixture properties
Individual evidence
- ^ Giorgio Soave: Equilibrium constants from a modified Redlich-Kwong equation of state . In: Chemical Engineering Science . tape 27 , no. 6 , June 1972, p. 1197-1203 , doi : 10.1016 / 0009-2509 (72) 80096-4 .
- ↑ MS Graboski, TE Daubert: A Modified Soave Equation of State for Phase Equilibrium Calculations. 1. Hydrocarbon Systems . In: Ind. Eng. Chem. Process Des. Dev. Band 17 , no. 4 , March 1978, p. 443-448 , doi : 10.1021 / i260068a009 .
- ↑ MS Graboski, TE Daubert: A Modified Soave Equation of State for Phase Equilibrium Calculations. 3. Systems Containing Hydrogen . In: Ind. Eng. Chem. Process Des. Dev. Band 18 , no. 2 , October 1978, p. 300-306 , doi : 10.1021 / i260070a022 .
- ↑ Jean-Noël Jaubert, Romain Privat: Relationship between the binary interaction parameters (kij) of the Peng – Robinson and those of the Soave – Redlich – Kwong equations of state: Application to the definition of the PR2SRK model . In: Fluid Phase Equilibria. 295, 2010, pp. 26-37. doi : 10.1016 / j.fluid.2010.03.037 .