298,15 K de Dörtlü Sıvı Karışımların Fazla Molar Hacimlerinin Tahmini

Abstract

298.15 K'de üçlü n-hekzanol + etanitril + diklorometan ve dörtlü sistem n-hekzanol + etanitril + diklorometan + tetrahidrofuran için fazla molar hacimler simetrik ve asimetrik modeller kullanılarak hesaplanmıştır. Chou'nun Genel çözüm modeli, n-heksanol + etanitril + diklorometan + tetrahidrofuranda üçlü n-hekzanol + etanitril + diklorometan ve dörtlü sistemlerin fazla molar hacmini değerlendirmek için kullanılmıştır. Her iki karışım sistemi için deneysel veriler ve fazla molar hacimlerin hesaplanan sonuçları arasındaki iyi uyum, bu yaklaşımın çok bileşenli sistemlerin fazla molar hacimlerini tahmin etmek için başarıyla kullanılabileceğini gösterir.

Keywords

• Fazla molar hacim
• Redlich-Kister polinomu,
• Genel çözüm modeli
• Dörtlü sistem

Prediction of Excess Molar Volumes for Quaternary Liquid Mixtures at 298.15 K

Abstract

The excess molar volumes for the ternary n-hexanol + ethanenitrile + dichloromethane and quaternary system n-hexanol + ethanenitrile + dichloromethane + tetrahydrofuran at 298.15K has been calculated by using symmetric and asymmetric models. Chou’s General solution model has been employed to evaluate the excess molar volume of the ternary n-hexanol + ethanenitrile + dichloromethane and quaternary systems in the n-hexanol + ethanenitrile + dichloromethane + tetrahydrofuran. The good agreement between experimental data and calculated results of excess molar volumes for both mixture systems indicates that this approach can be successfully used to predict the excess molar volumes of multicomponent systems.

Keywords

• Excess molar volumes,
• Redlich-Kister polynomial,
• General solution model,
• Quaternary systems.

References

1. [1] S. Fürtauer, E. Tserenjav, A. Yakymovych, and H. Flandorfer, "Calorimetric studies of Cu–Li, Li–Sn, and Cu–Li–Sn," J. Chem. Tthermodyn., 61, 105-116, 2013.
2. [2] X. Yang, H. Yang, D. Tao, and D. Liu, "A modified Hoch–Arpshofen model for the calculation of enthalpies of formation of multicomponent liquid alloys," Fluid Phase Equilib., 363, 207-212, 2014.
3. [3] M. Behroozi and H. Zarei, "Volumetric properties of binary mixtures of tributylamine with benzene derivatives and comparison with ERAS model results at temperatures from (293.15 to 333.15) K," J. Chem.Tthermodyn., 47, 267-287, 2012.
4. [4] H. Jiang, J. Wang, F. Zhao, G. Qi, and Y. Hu, "Volumetric and surface properties of pure ionic liquid n-octyl-pyridinium nitrate and its binary mixture with alcohol," J.Chem.Tthermodyn., 47, 203-208, 2012.
5. [5] J. S. Matos, J. L. Trenzado, E. González, and R. Alcalde, "Volumetric properties and viscosities of the methyl butanoate+ n-heptane+ n-octane ternary system and its binary constituents in the temperature range from 283.15 to 313.15 K," Fluid Phase Equilib., 186(1-2), 207-234, 2001.
6. [6] Y. Liu, X. Lv, C. Bai, P. Lai, and J. Wang, "Viscosity evaluation of Fe–Ni–Co ternary alloy from the measured binary systems," J. Ind. Eng. Chem., 30, 106-111, 2015.
7. [7] M. Schick, J. Brillo, I. Egry, and B. Hallstedt, "Viscosity of Al–Cu liquid alloys: measurement and thermodynamic description," J. Mater. Sci. 47(23), 8145-8152, 2012.
8. [8] S. K. Begum, R. J. Clarke, M. S. Ahmed, S. Begum, and M. A. Saleh, "Volumetric, viscosimetric and surface properties of aqueous solutions of triethylene glycol, tetraethylene glycol, and tetraethylene glycol dimethyl ether," J. Mol. Liq., 177, 11-18, 2013.

9. [9] G.-H. Zhang and K.-C. Chou, "Estimating the excess molar volume using the new generation geometric mode,." Fluid Phase Equilib., 286(1), 28-32, 2009.
10. [10] G. Toop, "Predicting ternary activities using binary data," Trans. TMS-AIME, 223, 850-855, 1965.
11. [11] M. Hillert, "Empirical methods of predicting and representing thermodynamic properties of ternary solution phases," Calphad, 4(1), 1-12, 1980.
12. [12] F. Kohler, "Zur Berechnung der thermodynamischen Daten eines ternären Systems aus den zugehörigen binären Systemen," Monatsh Chem. Verw.Teile. Anderer., 91(4), 738-740, 1960.
13. [13] Y. M. Muggianu, M. Gambino, and J. Bros, "Enthalpies of formation of liquid alloys bismuth-gallium-tin at 723k-choice of an analytical representation of integral and partial thermodynamic functions of mixing for this ternary-system," J. chim. Phys. Phys.-Chim. Biol., 72(1), 83-88, 1975.
14. [14] K.-C. Chou, "A general solution model for predicting ternary thermodynamic properties," Calphad, 19(3), 315-325, 1995.
15. [15] K.-C. Chou and S.-K. Wei, "A new generation solution model for predicting thermodynamic properties of a multicomponent system from binaries," Metall. Mater. Trans B, 28(3), 439-445, 1997.
16. [16] G.-H. Zhang, and K.-C. Chou, "General formalism for new generation geometrical model: application to the thermodynamics of liquid mixture,." J. Solution Chem., 39(8), 1200-1212, 2010.
17. [17] I. Katayama, Y. Fukuda, Y. Hattori, and T. Maruyama, "Measurement of activity of gallium in liquid Ga–Sb–Sn alloys by EMF method with zirconia as solid electrolyte," Thermochim. Acta, 314(1-2), 175-181, 1998.
18. [18] L. Wang, K.-C. Chou, and S. Seetharaman, "A comparison of traditional geometrical models and mass triangle model in calculating the surface tensions of ternary sulphide melt,." Calphad, 32(1), 49-55, 2008.
19. [19] L. Prasad and A. Mikula, "Surface segregation and surface tension in Al–Sn–Zn liquid alloys," Physica B Condens., 373(1), 142-149, 2006.
20. [20] L. Yan, S. Zheng, G. Ding, G. Xu, and Z. Qiao, "Surface tension calculation of the Sn–Ga–In ternary alloy," Calphad, 31(1), 112-119, 2007.
21. [21] C. Costa, S. Delsante, G. Borzone, D. Zivkovic, and R. Novakovic, "Thermodynamic and surface properties of liquid Co–Cr–Ni alloys," J. Chem. Thermodyn., 69, 73-84, 2014
22. [22] A. Dogan and H. Arslan, "Comparative thermodynamic prediction of integral properties of six component, quaternary, and ternary systems," Metall. Mater. Trans.A, 46(8), 3753-3760, 2015.
23. [23] O. Redlich and A. Kister, "Algebraic representation of thermodynamic properties and the classification of solution," Ind. Eng. Chem. Res., 40(2), 345-348, 1948.
24. [24] S. H. Canzonieri, M. A. Postigo, J.A. Salas, and M. Katz, "Excess molar volumes excess viscosities and refractive indices of quaternary liquid mixtures at 298.15 K," Anales-Asociacion Quimica Argentina, 90(1/3), 31-48, 2002
25. [25] S. Aznarez, M. A. Postigo, G. C. Pedrosa, I. L. Acevedo, and M. Katz, "Densities, refractive indexes, and excess properties of mixing of the n-hexanol+ ethanenitrile+ dichloromethane ternary system at 25 C," J Solution Chem., 27(10), 949-964, 1998.