Liebermann Fried Model Research Articles

Measurement and correlation of (vapor + liquid) equilibrium data for {α-pinene + p-cymene + (S)-(−)-limonene} ternary system at atmospheric pressure

(Vapor+liquid) equilibrium (VLE) data for binary system of (α-pinene+p-cymene) and ternary system of {α-pinene+p-cymene+(S)-(−)-limonene} were measured at 100.7kPa using the modified Ellis equilibrium still. The VLE data are thermodynamically consistent. Parameters of the binary system for the four solution models — Liebermann–Fried, Wilson, NRTL, and UNIQUAC — were calculated by referencing least squares method to minimize an objective function based on the total pressure. The ternary system data were predicted with the parameters of Liebermann–Fried model obtained from the pertinent binary systems. The predicted bubble-point temperature and the vapor composition for the ternary system were in good agreement with the experimental results. Smooth representations of the results are used to construct constant excess Gibbs free energy contours on Roozeboom diagrams.

Excess molar enthalpies of ternary mixtures (dibutyl ether or dipropyl ether + 2,2-dimethylbutane + 2,3-dimethylbutane) at the temperature 298.15 K

Excess molar enthalpies, measured at the temperature 298.15 K and atmospheric pressure conditions by means of a flow microcalorimeter, are reported for the ternary mixtures { x 1(dibutyl ether or dipropyl ether) + x 2 2,2-dimethylbutane + (1 − x 1 − x 2) 2,3-dimethylbutane}. A smooth representation of the results is described and the constant-enthalpy contours for each ternary system are displayed on the respective Roozeboom diagrams. The results serve to show that good estimates of the excess molar enthalpies of the ternary systems can be obtained from the Liebermann–Fried model by using the physical properties of the constituent pure components and the parameters determined from the binary mixtures of these components.

Excess molar enthalpies of ternary mixtures (1-hexene + tetrahydrofuran + 2,2-dimethylbutane or 2,3-dimethylbutane) at the temperature 298.15 K

Excess molar enthalpies, measured at the temperature 298.15 K and atmospheric pressure conditions by means of a flow microcalorimeter, are reported for the ternary mixtures x 1 C 6 H 12 + x 2 C 4 H 8 O + ( 1 - x 1 - x 2 ) { ( CH 3 ) 3 CCH 2 CH 3 or ( CH 3 ) 2 CHCH ( CH 3 ) 2 } . A smooth representation of the results is described and used to construct constant-enthalpy contours on a Roozeboom diagram. It is shown that good estimates of the excess molar enthalpies of the ternary systems can be obtained from the Liebermann–Fried model by using the physical properties of the components and the parameters determined from their binary mixtures.

Excess Enthalpies of Binary Mixtures of 1-Hexene with Some Ethers at 25°C

Measurements of excess molar enthalpies at 25°C in a flow microcalorimeter, are reported for the four binary mixtures formed by mixing 1-hexene with either 2- methyltetrahydrofuran, or methyl tert-butyl ether, or diisopropyl ether, or di-n-butyl ether. Smooth Redlich–Kister representations of the results are presented. It was found that the Liebermann–Fried model also provided good representations of the results.

Excess molar enthalpies of binary mixtures of 1-hexene with some cyclic and aromatic hydrocarbons at 298.15 K

Microcalorimetric measurements of excess molar enthalpies, at 298.15 K, are reported for the four binary systems formed by mixing 1-hexene with the cycloalkanes: cyclohexane and methylcyclohexane, and with the aromatic hydrocarcons: benzene and toluene. Smooth Redlich–Kister representations of the results are presented. It was found that the Liebermann–Fried model also provided good representations of the results.

Excess enthalpies of binary mixtures of 1-hexene with some branched alkanes at the temperature 298.15 K

Abstract Measurements of excess molar enthalpies at the temperature 298.15 K in a flow microcalorimeter are reported for the five binary mixtures formed by mixing 1-hexene with the branched alkanes: 2-methylpentane, 3-methylpentane, 2,2-dimethylbutane, 2,3-dimethylbutane, and 2,2,4-trimethylpentane. Smooth Redlich–Kister representations of the results are described. It was found that the Liebermann–Fried model also provided good representations of the results.

Excess Enthalpies of Ternary Mixtures: (2-Methyltetrahydrofuran or Di-n-Butyl ether) + 3-Methylpentane + n-Decane at 25°C

Measurements of excess molar enthalpies at 25°C in a flow microcalorimeter are reported for the two ternary mixtures 2-methyltetrahydrofuran + 3-methylpentane + n-decane and di-n-butyl ether + 3-methylpentane + n-decane. Smooth representations of the results are described and used to construct constant-enthalpy contours on Roozeboom diagrams. It is shown that useful estimates of the ternary enthalpies can be obtained from the Liebermann–Fried model using only the physical properties of the components and their binary mixtures.

Excess enthalpies of the ternary mixtures: {tetrahydrofuran + 3-methylpentane + (octane or decane)} at the temperature 298.15 K

Measurements of excess molar enthalpies at the temperature 298.15 K in a flow microcalorimeter, are reported for the two ternary mixtures { X 1C 4H 8O + X 2CH 3CH 2CH(CH 3)CH 2CH 3 + (1− X 1− X 2)CH 3(CH 2) v−2 CH 3} with v=8 and 10. Smooth representations of the results are described and used to construct constant-enthalpy contours on Roozeboom diagrams. It is shown that useful estimates of the ternary enthalpies can be obtained from the Liebermann–Fried model, using only the physical properties of the components and their binary mixtures.

Excess enthalpies of the ternary mixtures: {tetrahydrofuran + (2,2,4-trimethylpentane or heptane) + methylcyclohexane} at the temperature 298.15 K

Measurements of excess molar enthalpies at the temperature 298.15 K in a flow microcalorimeter, are reported for the ternary mixtures { x 1C 4H 8O+ x 2(CH 3) 3CCH 2CH(CH 3) 2+(1− x 1− x 2)C 6H 11CH 3} and { x 1C 4H 8O+ x 2C 7H 16+(1− x 1− x 2)C 6H 11CH 3} Smooth representations of the results are described and used to construct constant-enthalpy contours on Roozeboom diagrams. It is shown that useful estimates of the ternary enthalpies can be obtained from the Liebermann-Fried model, using only the physical properties of the components and their binary mixtures.

Excess enthalpies of (di-n-butyl ether + 2,2,4-trimethylpentane + heptane, or octane) at the temperature 298.15 K

Measurements of excess molar enthalpies at the temperature 298.15 K in a flow microcalorimeter, are reported for the ternary mixtures [x1{CH3(CH2)3}2O +x2(CH3)3CCH2CH(CH3)2+ (1 −x1−x2)CH3(CH2)νCH3] where ν= 5 and 6. Smooth representations of the results are described and used to construct constant-enthalpy contours on Roozeboom diagrams. It is shown that useful estimates of the ternary enthalpies can be obtained from the Liebermann–Fried model, using only the physical properties of the components and their binary mixtures.

Excess Enthalpies of 2-Methyltetrahydrofuran + (2,2,4-Trimethylpentane or n-Heptane) + Methylcyclohexane at 25 - C

Measurements of excess molar enthalpies at 25°C in a flow microcalorimeter, are reported for the two ternary mixtures 2-methyltetrahydrofuran + 2, 2, 4-trimethylpentane + methylcyclohexane and 2-methyltetrahydrofuran + n-heptane + methylcyclohexane. Smooth representations of the results are described and used to construct constant-enthalpy contours on Roozeboom diagrams. It is shown that useful estimates of the ternary enthalpies can be obtained from the Liebermann–Fried model using only the physical properties of the components and their binary mixtures.

Predicting the excess enthalpies and vapor–liquid equilibria of multicomponent systems containing ether and hydrocarbons

The Liebermann–Fried model was used to correlate the excess enthalpy values for selected binary ether+hydrocarbon mixtures. The binary interaction parameters so determined were then used in conjunction with an extended form of the model to predict the excess enthalpies and vapor–liquid equilibria for several multicomponent systems containing ether and hydrocarbons. The Flory–Patterson theory approach was also used to calculate the same thermodynamic properties. The predicted values were found to be in good agreement with the experimental results reported in the literature. The Liebermann–Fried model was found to be comparable to the Flory–Patterson theory approach in the prediction of excess enthalpy. However, the vapor–liquid equilibrium values predicted by means of the former were of better quality than those calculated by means of the latter.

Excess Enthalpies of Ethyl tert-Butylether + 2,2,4-Trimethylpentane + Decane or Dodecane at 25°C

Measurements of excess molar enthalpies at 25°C in a flow microcalorimeter, are reported for the two ternary mixtures ethyl tert-butylether + 2,2,4-trimethylpentane + n-decane and ethyl tert-butylether + 2,2,4-trimethylpentane + n-dodecane. Smooth representations of the results are described and used to construct constant-enthalpy contours on Roozeboom diagrams. It is shown that useful estimates of the ternary enthalpies can be obtained from the Liebermann–Fried model using only the physical properties of the components and their binary mixtures.

Excess Enthalpies of 2-Methyltetrahydrofuran + 2,2,4-Trimethylpentane + (Decane or Dodecane) at 25°C

Measurements of excess molar enthalpies at 25°C in a flow microcalorimeter, are reported for the two ternary mixtures 2-methyltetrahydrofuran + 2,2,4-trimethylpentane + n-decane and 2-methyltetrahydrofuran + 2,2,4-trimethylpentane + n-dodecane. Smooth representations of the results are described and used to construct constant-enthalpy contours on Roozeboom diagrams. It is shown that useful estimates of the ternary enthalpies can be obtained from the Liebermann–Fried model using only the physical properties of the components and their binary mixtures.