Thermodynamics Research Center / ThermoML | Fluid Phase Equilibria

Modeling phase equilibria of ternary systems (water + formic acid + ester or alcohol) through UNIFAC-original, SERLAS, NRTL, NRTL-modified, and three-suffix Margules: Parameter estimation using genetic algorithm

Senol, A.[Aynur], Bilgin, M.[Mehmet], Baslioglu, B.[Burcu], Vakili-Nezhaad, G.[Gholamreza]
Fluid Phase Equilib. 2016, 429, 254-265
ABSTRACT
Ternary liquid-liquid equilibrium (LLE) systems composed of (water formic acid ester or alcohol), exhibiting experimental phase diagrams of type 1, have been studied at T = (298.2 +- 0.1) K and P = (101.3 +- 0.7) kPa. The equilibrium distribution of formic acid onto (water p solvent) two-phase system is better for dibasic ester (diethyl sebacate, diethyl succinate) as compared to monobasic ester (ethyl caprylate, ethyl valerate) and isoamyl alcohol. The thermodynamic models SERLAS, UNIFACoriginal, NRTL, NRTL-modified and three-suffix Margules have been deeply tested for consistency in simulating the ternary LLE behavior. An immediate goal is to estimate the interaction parameters of molecular models from ternary data only using a genetic algorithm. The genetic algorithm identifies globally optimal values by producing a population of candidate solutions from given upper and lower bounds of the interaction parameters. The reliability of existing models has been analyzed statistically with respect to three physical extraction factors. Essentially, SERLAS, UNIFAC-original, NRTL, NRTLmodified and three-suffix Margules yield mean errors of 3.4%, 19.4%, 4.2%, 4.4% and 8.6%, respectively, enabling the ternary phase behavior to be simulated satisfactorily. The UNIFAC-original prediction is moderately precise. NRTL is especially effective in correlating both the two-phase envelope size and the tie line slope. While SERLAS has proven reasonably successful in reproducing the physical extraction factors, yielding about equally accurately estimates for each ternary system.
Compounds
# Formula Name
1 CH2O2 formic acid
2 C14H26O4 diethyl decanedioate
3 C8H14O4 diethyl butanedioate
4 C10H20O2 ethyl octanoate
5 C7H14O2 ethyl pentanoate
6 C5H12O 3-methylbutan-1-ol
7 H2O water
Datasets
The table above is generated from the ThermoML associated json file (link above). POMD and RXND refer to PureOrMixture and Reaction Datasets. The compound numbers are included in properties, variables, and phases, if specificied; the numbers refer to the table of compounds on the left.
Type Compound-# Property Variable Constraint Phase Method #Points
  • POMD
  • 1
  • Mass density, kg/m3 ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Vibrating tube method
  • 1
  • POMD
  • 1
  • Refractive index (Na D-line) ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Standard Abbe refractometry
  • 1
  • POMD
  • 2
  • Mass density, kg/m3 ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Vibrating tube method
  • 1
  • POMD
  • 2
  • Refractive index (Na D-line) ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Standard Abbe refractometry
  • 1
  • POMD
  • 3
  • Mass density, kg/m3 ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Vibrating tube method
  • 1
  • POMD
  • 3
  • Refractive index (Na D-line) ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Standard Abbe refractometry
  • 1
  • POMD
  • 4
  • Mass density, kg/m3 ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Vibrating tube method
  • 1
  • POMD
  • 4
  • Refractive index (Na D-line) ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Standard Abbe refractometry
  • 1
  • POMD
  • 5
  • Mass density, kg/m3 ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Vibrating tube method
  • 1
  • POMD
  • 5
  • Refractive index (Na D-line) ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Standard Abbe refractometry
  • 1
  • POMD
  • 6
  • Mass density, kg/m3 ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Vibrating tube method
  • 1
  • POMD
  • 6
  • Refractive index (Na D-line) ; Liquid
  • Temperature, K; Liquid
  • Pressure, kPa; Liquid
  • Liquid
  • Standard Abbe refractometry
  • 1
  • POMD
  • 1
  • 2
  • 7
  • Mole fraction - 1 ; Liquid mixture 2
  • Mole fraction - 2 ; Liquid mixture 1
  • Mole fraction - 1 ; Liquid mixture 1
  • Mole fraction - 2; Liquid mixture 2
  • Temperature, K; Liquid mixture 2
  • Pressure, kPa; Liquid mixture 2
  • Liquid mixture 2
  • Liquid mixture 1
  • Chromatography
  • Chromatography
  • Chromatography
  • 11
  • POMD
  • 1
  • 3
  • 7
  • Mole fraction - 1 ; Liquid mixture 2
  • Mole fraction - 3 ; Liquid mixture 1
  • Mole fraction - 1 ; Liquid mixture 1
  • Mole fraction - 3; Liquid mixture 2
  • Temperature, K; Liquid mixture 2
  • Pressure, kPa; Liquid mixture 2
  • Liquid mixture 2
  • Liquid mixture 1
  • Chromatography
  • Chromatography
  • Chromatography
  • 6
  • POMD
  • 1
  • 4
  • 7
  • Mole fraction - 4 ; Liquid mixture 1
  • Mole fraction - 4 ; Liquid mixture 2
  • Mole fraction - 1 ; Liquid mixture 2
  • Mole fraction - 1; Liquid mixture 1
  • Temperature, K; Liquid mixture 2
  • Pressure, kPa; Liquid mixture 2
  • Liquid mixture 1
  • Liquid mixture 2
  • Chromatography
  • Chromatography
  • Chromatography
  • 7
  • POMD
  • 1
  • 5
  • 7
  • Mole fraction - 5 ; Liquid mixture 2
  • Mole fraction - 5 ; Liquid mixture 1
  • Mole fraction - 1 ; Liquid mixture 1
  • Mole fraction - 1; Liquid mixture 2
  • Temperature, K; Liquid mixture 2
  • Pressure, kPa; Liquid mixture 2
  • Liquid mixture 2
  • Liquid mixture 1
  • Chromatography
  • Chromatography
  • Chromatography
  • 6
  • POMD
  • 1
  • 6
  • 7
  • Mole fraction - 6 ; Liquid mixture 2
  • Mole fraction - 6 ; Liquid mixture 1
  • Mole fraction - 1 ; Liquid mixture 1
  • Mole fraction - 1; Liquid mixture 2
  • Temperature, K; Liquid mixture 2
  • Pressure, kPa; Liquid mixture 2
  • Liquid mixture 2
  • Liquid mixture 1
  • Chromatography
  • Chromatography
  • Chromatography
  • 5