• Title/Summary/Keyword: Prigogine-Flory-Patterson theory

Search Result 3, Processing Time 0.014 seconds

Application of Flory-Treszczanowicz-Benson model and Prigogine-Flory-Patterson theory to Excess Molar Volumes of Isomers of Propanol with Cyclohexane or n-Hexane

  • Gahlyan, Suman;Verma, Sweety;Rani, Manju;Maken, Sanjeev
    • Korean Chemical Engineering Research
    • /
    • v.56 no.4
    • /
    • pp.536-541
    • /
    • 2018
  • Excess molar volumes ($V_m^E$) of binary mixtures of 1-propanol or 2-propanol (1) + cyclohexane or n-hexane (2) were measured with V-shaped dilatometer at 303.15 K. The $V_m^E$ data for these mixtures varied as: 2-propanol > 1-propanol and were higher for cyclohexane than n-hexane for both propanol systems. The experimental data were correlated with Redlich-Kister polynomial. The $V_m^E$ data were interpreted qualitatively as well as quantitatively in terms of Flory-Treszczanowicz-Benson model and Prigogine-Flory-Patterson theory. Both models correctly described the sign and shape of $V_m^E$ vs $x_1$ curves. The values calculated by both the models agree well with the experimental data.

Application of Flory-Treszczanowicz-Benson model and Prigogine-Flory-Patterson theory to Excess Molar Volume of Binary Mixtures of Ethanol with Diisopropyl Ether, Cyclohexane and Alkanes (C6-C9)

  • Kashyap, Pinki;Rani, Manju;Tiwari, Dinesh Pratap;Park, So-Jin
    • Korean Chemical Engineering Research
    • /
    • v.58 no.2
    • /
    • pp.257-265
    • /
    • 2020
  • Densities (ρ) for binary mixtures of ethanol (1) + diisopropyl ether (DIPE) or cyclohexane or alkane (C6-C9) (2) were measured at 298.15 K, 308.15 K and 318.15 K. The excess molar volume (VEm) of binary mixtures was calculated using ρ data and correlated with Redlich-Kister polynomial equation. The VEm values for binary mixtures of ethanol (1) + cyclohexane or n-alkane (C6-C9) (2) were positive, whereas for ethanol (1) + DIPE (2) these were negative. The magnitude of VEm values follows the order: cyclohexane > n-nonane > n-octane > n-heptane > n-hexane > DIPE. The VEm values have been interpreted qualitatively and also quantitatively in terms of Flory-Treszczanowicz-Benson (FTB) model and Prigogine-Flory-Patterson (PFP) theory. The values VEm predicted using FTB model agree well with experimental VEm values at all mole fractions. But the PFP theory describes well VEm data in ethanol-rich region (x1 > 0.5) for all binary mixtures and is able to predict the sign of VEm vs x1 curve for ethanol-lean region (x1 < 0.5) except for ethanol (1) + nonane (2) mixtures.