Araştırma Makalesi
Yıl 2023,
Cilt: 26 Sayı: 3, 37 - 45, 01.09.2023
Öz
Kaynakça
- M. Milhet, J. Pauly, J.A.P. Coutinho, M. Dirand, J.L. Daridon, “Liquid-solid equilibria under high pressure of tetradecane plus pentadecane and tetradecane plus hexadecane binary systems”, Fluid Phase Equilibria,
- K. Khimeche, Y. Boumrah, M. Benziane, A. Dahmani, “Solid-liquid equilibria and purity determination for binary n-alkane plus naphthalene systems”, Thermochimica Acta, 444, 166-172, 2006.
- G.C. Sekhar, P. Venkatesu, T. Hofman, M.V. P. Rao, “Solid–liquid equilibria of long chain n-alkanes (C18–C28) in N,N-dimethylacetamide”, Fluid Phase Equilibria, 201, 219-231, 2002.
- J.L. Daridon, J. Pauly, M. Milhet, “High pressure solid-liquid phase equilibria in synthetic waxes”, Phys. Chem. Chem. Phys., 4, 4458-4461, 2002.
- U. Domanska, P. Morawski, R. Wierzbicki, “Phase diagrams of binary systems containing n-alkanes, or cyclohexane, or 1-alkanols and 2,3-pentanedione at atmospheric and high pressure”, Fluid Phase Equilibria, 242, 154-163, 2006.
- M. Krishnan, S. Balasubramanian, “n-heptane under pressure: Structure and dynamics from molecular simulations”, J. Phys. Chem. B, 109, 1936-1946, 2005.
- C. Ma, Q. Zhou, F. Li, J. Hao, J. Wang, L. Huang, F. Huang, Q. Cui, “Rotator phases of n-heptane under high pressure: Raman scattering and X-ray diffraction studies”, J. Phys. Chem. C, 115, 18310-18315, 2011.
- I. Denicolo, A.F. Craievich. J. Doucet, “X-ray diffraction and calorimetric phase study of a binary paraffin – C23H48-C24H50”, J. Chem. Phys., 80, 6200-6203, 1984.
- G. Ungar, N. Masic, “Order in the rotator phase of normal alkanes”, J. Phys. Chem., 89, 1036-1042, 1985.
- E. B. Sirota, “Rotator phases of the normal alkanes: An x-ray scattering study”, J. Chem. Phys., 98, 5809-5824, 1993.
- E.B. Sirota, H.E. King, H.H. Shao, D.M. Singer, “Rotator phases in mixtures of n-alkanes”, J. Phys. Chem., 99, 798-804, 1995.
- R.G. Snyder, G. Conti, H.L. Strauss, D.L. Dorset, “Thermally-induced mixing in partially microphase segregated binary m-alkane crystals”, J. Phys. Chem. 97, 7342-7350, 1993.
- E. B. Sirota, “Remarks concerning the relation between rotator phases of bulk n-alkanes and those of langmuir monolayers of alkyl-chain surfactants on water”, Langmuir, 13, 3849-3859, 1997.
- P.K. Mukherjee, “Pressure effect on the rotator-II to rotator I transition of alkanes”, J. Chem. Phys., 130, 214906, 2009.
- D.S. Fu, Y.F. Liu, X. Gao, Y.L. Su, G.M. Liu, D.J. Wang, “Binary n-Alkane Mixtures from Total Miscibility to Phase Separation in Microcapsules: Enrichment of Shorter Component in Surface Freezing and Enhanced Stability of Rotator Phases”, J. Phys. Chem. B, 116, 3099-3105, 2012.
- U. Zammit, M. Marinelli, F. Mercuri, S. Paoloni, “Analysis of the Order Character of the R-II-R-I and the R-I-R-V Rotator Phase Transitions in Alkanes by Photopyroelectric Calorimetry”, J. Phys. Chem. B, 114, 8134-8139, 2010.
- D.S. Fu, Y.F. Liu, G.M. Liu, Y.L. Su, D.J. Wang, “Confined crystallization of binary n-alkane mixtures: stabilization of a new rotator phase by enhanced surface freezing and weakened intermolecular interactions”, Phys. Chem. Chem. Phys., 13, 15031-15036, 2011.
- I. Koljanin, M. Pozar, B. Lovrincevic, “Structure and Dynamics of liquid linear and cyclic alkanes: A molecular Dynamics study”, Fluid Phase Equilibria, 550, 113237, 2021.
- B. He, V. Martin, F. Setterwall,” Liquid-solid phase equilibrium study of tetradecane and hexadecane binary mixtures as phase change materials (PCMs) for comfort cooling storage”, Fluid Phase Equilibria, 212, 97-109, 2003.
- P. Morawski, J. A. P. Coutinho, U. Domanska, “High pressure (solid + liquid) equilibria of n-alkane mixtures: experimental results, correlation and prediction”, Fluid Phase Equilibria, 230, 72-80, 2005.
- L. Robles, D. Mondieig, Y. Haget, M. A. Cuevas-diarte, X. Alcobe, “Non isomorphism and miscibility in the solid state: Determination of the equilibrium phase diagram n-octadecane C18H38 + n-nonadecane C19H40”, Mol. Cryst. Liq. Cryst., 281, 279-290, 1996.
- S.N. Gunasekara, S. Kumova, J.N. Chiu, V. Martin, “Experimental phase diagram of the dodecane-tridecane system as phase change material in cold storage”, Int. J. Ref., 82, 130-140, 2017.
- T. Shen, H. Peng, X. Ling, “Experimental Measurements and Thermodynamic Modeling of Melting Temperature of the Binary Systems n-C11H24-n-C14H30, n-C12H26-n-C13H28, n-C12H26-n-C14H30, and n-C13H28-n-C-15 H-32 for Cryogenic Thermal Energy Storage”, Ind. Eng. Chem. Res., 58, 15026-15035, 2019.
- T. Shen, S. Li, H. Peng, X. Ling, “Experimental study and thermodynamic modeling of solid-liquid equilibrium of binary systems: Dodecane-tetradedcane and tridecane-pentadecane for cryogenic thermal energy storage”, Fluid Phase Equilibria, 493, 109-119, 2019.
- H. Yurtseven, E. Kilit Dogan, “Calculation of the phase diagram of n-alkanes (CnH2n+2) by the Landau mean field theory”, Fluid Phase Equilibria, 556, 113377, 2022.
- H. Yurtseven, T. Emirosmanoglu, O. Tari, “Calculation of the Liquid-Solid Phase Diagram and the Thermodynamic Quantities of the Binary System of Tetradecane and Hexadecane Using the Mean Field Theory”, J. Sol. Chem., 50, 1335-1362, 2021.
- O. Tari, H. Yurtseven, “Calculation of the T-X phase diagram of tetradecane+hexadecane and tetradecane+pentadecane under high pressure by the landau mean field theory”, Fluid Phase Equilibria, 559, 113499, 2022.
- P.K. Mukherjee, “Tricritical behavior of the R-I-R-V rotator phase transition in a mixture of alkanes with nanoparticles”, J. Chem. Phys., 135, 134505, 2011.
Calculation of the Phase Diagrams (T – X and T – P) and the Thermodynamic Quantities for the Solid – Liquid Equilibria in n-tridecane
Öz
The solid – liquid equilibria in n-tridecane is investigated by calculating phase diagrams and the thermodynamic quantities using the Landau phenomenological model. By expanding the free energy in terms of the order parameter of the solid phase, the phase line equations are fitted to the experimental data for the T – X and T – P phase diagrams from the literature. The temperature dependences of the thermodynamic quantities (order parameter ψ, susceptibility χ_ψ, free energy F, the heat capacity C, entropy S and the enthalpy H) are predicted for the n-tridecane from this model. Our results give that the slope dT⁄dP≅2 "K/MPa" for n-C13 to n-C17. ψ varies with T as ψ~(T-T_m )^(1⁄2) above T_m. It is linear for the 〖χ_ψ〗^(-1), S(T) and C(T), and quadratic for the F(T) and H(T) in n-tridecane. This indicates that the Landau model, describes the observed behaviour of the phase diagrams satisfactorily for the solid – liquid equilibria in n-tridecane. Predictions of the thermodynamic quantities can also be compared with the measurements and predictions of some other theoretical models. The pressure effect, in particular, on the solid – liquid equilibria in n-tridecane can also be investigated under the model studied here.
Anahtar Kelimeler
Solid – liquid equilibria T – X and T – P phase diagrams Thermodynamic quantities n-tridecane
Kaynakça
- M. Milhet, J. Pauly, J.A.P. Coutinho, M. Dirand, J.L. Daridon, “Liquid-solid equilibria under high pressure of tetradecane plus pentadecane and tetradecane plus hexadecane binary systems”, Fluid Phase Equilibria,
- K. Khimeche, Y. Boumrah, M. Benziane, A. Dahmani, “Solid-liquid equilibria and purity determination for binary n-alkane plus naphthalene systems”, Thermochimica Acta, 444, 166-172, 2006.
- G.C. Sekhar, P. Venkatesu, T. Hofman, M.V. P. Rao, “Solid–liquid equilibria of long chain n-alkanes (C18–C28) in N,N-dimethylacetamide”, Fluid Phase Equilibria, 201, 219-231, 2002.
- J.L. Daridon, J. Pauly, M. Milhet, “High pressure solid-liquid phase equilibria in synthetic waxes”, Phys. Chem. Chem. Phys., 4, 4458-4461, 2002.
- U. Domanska, P. Morawski, R. Wierzbicki, “Phase diagrams of binary systems containing n-alkanes, or cyclohexane, or 1-alkanols and 2,3-pentanedione at atmospheric and high pressure”, Fluid Phase Equilibria, 242, 154-163, 2006.
- M. Krishnan, S. Balasubramanian, “n-heptane under pressure: Structure and dynamics from molecular simulations”, J. Phys. Chem. B, 109, 1936-1946, 2005.
- C. Ma, Q. Zhou, F. Li, J. Hao, J. Wang, L. Huang, F. Huang, Q. Cui, “Rotator phases of n-heptane under high pressure: Raman scattering and X-ray diffraction studies”, J. Phys. Chem. C, 115, 18310-18315, 2011.
- I. Denicolo, A.F. Craievich. J. Doucet, “X-ray diffraction and calorimetric phase study of a binary paraffin – C23H48-C24H50”, J. Chem. Phys., 80, 6200-6203, 1984.
- G. Ungar, N. Masic, “Order in the rotator phase of normal alkanes”, J. Phys. Chem., 89, 1036-1042, 1985.
- E. B. Sirota, “Rotator phases of the normal alkanes: An x-ray scattering study”, J. Chem. Phys., 98, 5809-5824, 1993.
- E.B. Sirota, H.E. King, H.H. Shao, D.M. Singer, “Rotator phases in mixtures of n-alkanes”, J. Phys. Chem., 99, 798-804, 1995.
- R.G. Snyder, G. Conti, H.L. Strauss, D.L. Dorset, “Thermally-induced mixing in partially microphase segregated binary m-alkane crystals”, J. Phys. Chem. 97, 7342-7350, 1993.
- E. B. Sirota, “Remarks concerning the relation between rotator phases of bulk n-alkanes and those of langmuir monolayers of alkyl-chain surfactants on water”, Langmuir, 13, 3849-3859, 1997.
- P.K. Mukherjee, “Pressure effect on the rotator-II to rotator I transition of alkanes”, J. Chem. Phys., 130, 214906, 2009.
- D.S. Fu, Y.F. Liu, X. Gao, Y.L. Su, G.M. Liu, D.J. Wang, “Binary n-Alkane Mixtures from Total Miscibility to Phase Separation in Microcapsules: Enrichment of Shorter Component in Surface Freezing and Enhanced Stability of Rotator Phases”, J. Phys. Chem. B, 116, 3099-3105, 2012.
- U. Zammit, M. Marinelli, F. Mercuri, S. Paoloni, “Analysis of the Order Character of the R-II-R-I and the R-I-R-V Rotator Phase Transitions in Alkanes by Photopyroelectric Calorimetry”, J. Phys. Chem. B, 114, 8134-8139, 2010.
- D.S. Fu, Y.F. Liu, G.M. Liu, Y.L. Su, D.J. Wang, “Confined crystallization of binary n-alkane mixtures: stabilization of a new rotator phase by enhanced surface freezing and weakened intermolecular interactions”, Phys. Chem. Chem. Phys., 13, 15031-15036, 2011.
- I. Koljanin, M. Pozar, B. Lovrincevic, “Structure and Dynamics of liquid linear and cyclic alkanes: A molecular Dynamics study”, Fluid Phase Equilibria, 550, 113237, 2021.
- B. He, V. Martin, F. Setterwall,” Liquid-solid phase equilibrium study of tetradecane and hexadecane binary mixtures as phase change materials (PCMs) for comfort cooling storage”, Fluid Phase Equilibria, 212, 97-109, 2003.
- P. Morawski, J. A. P. Coutinho, U. Domanska, “High pressure (solid + liquid) equilibria of n-alkane mixtures: experimental results, correlation and prediction”, Fluid Phase Equilibria, 230, 72-80, 2005.
- L. Robles, D. Mondieig, Y. Haget, M. A. Cuevas-diarte, X. Alcobe, “Non isomorphism and miscibility in the solid state: Determination of the equilibrium phase diagram n-octadecane C18H38 + n-nonadecane C19H40”, Mol. Cryst. Liq. Cryst., 281, 279-290, 1996.
- S.N. Gunasekara, S. Kumova, J.N. Chiu, V. Martin, “Experimental phase diagram of the dodecane-tridecane system as phase change material in cold storage”, Int. J. Ref., 82, 130-140, 2017.
- T. Shen, H. Peng, X. Ling, “Experimental Measurements and Thermodynamic Modeling of Melting Temperature of the Binary Systems n-C11H24-n-C14H30, n-C12H26-n-C13H28, n-C12H26-n-C14H30, and n-C13H28-n-C-15 H-32 for Cryogenic Thermal Energy Storage”, Ind. Eng. Chem. Res., 58, 15026-15035, 2019.
- T. Shen, S. Li, H. Peng, X. Ling, “Experimental study and thermodynamic modeling of solid-liquid equilibrium of binary systems: Dodecane-tetradedcane and tridecane-pentadecane for cryogenic thermal energy storage”, Fluid Phase Equilibria, 493, 109-119, 2019.
- H. Yurtseven, E. Kilit Dogan, “Calculation of the phase diagram of n-alkanes (CnH2n+2) by the Landau mean field theory”, Fluid Phase Equilibria, 556, 113377, 2022.
- H. Yurtseven, T. Emirosmanoglu, O. Tari, “Calculation of the Liquid-Solid Phase Diagram and the Thermodynamic Quantities of the Binary System of Tetradecane and Hexadecane Using the Mean Field Theory”, J. Sol. Chem., 50, 1335-1362, 2021.
- O. Tari, H. Yurtseven, “Calculation of the T-X phase diagram of tetradecane+hexadecane and tetradecane+pentadecane under high pressure by the landau mean field theory”, Fluid Phase Equilibria, 559, 113499, 2022.
- P.K. Mukherjee, “Tricritical behavior of the R-I-R-V rotator phase transition in a mixture of alkanes with nanoparticles”, J. Chem. Phys., 135, 134505, 2011.
Toplam 28 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Termodinamik ve İstatistiksel Fizik |
| Bölüm | Araştırma Makaleleri |
| Yazarlar | |
| Erken Görünüm Tarihi | 4 Ağustos 2023 |
| Yayımlanma Tarihi | 1 Eylül 2023 |
| Yayımlandığı Sayı | Yıl 2023 Cilt: 26 Sayı: 3 |
