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The Relative Reduced Redlich–Kister and Herráez Equations for Correlating Excess Properties of N,N-Dimethylacetamide + Formamide Binary Mixtures at Temperatures from 298.15 K to 318.15 K

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Abstract

Excess molar volumes and viscosity deviations in binary mixtures of N,N-dimethylacetamide with formamide at (298.15, 308.15 and 318.15) K were calculated from experimental density and viscosity data presented in previous work. The density and viscosity data as well as their corresponding derived functions were used to test the applicability of two correlative equations: the reduced Redlich–Kister equation and the recently proposed Herráez equation. Their correlation abilities at different temperatures, and the use of different numbers of parameters, are discussed for the case of limiting experimental data. These relative functions are important to reduce the effect of temperature and, consequently, to reveal the effects of different types of interactions. Correlation between the two Arrhenius parameters of viscosity over the composition domains shows the existence of two distinct behaviors.

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References

  1. Das, D., Ray, S.K., Hazra, D.K.: Excess molar volumes and viscosity deviations in binary mixtures of N,N-dimethylacetamide with formamide and N,N-dimethylformamide at 298.15 K, 308.15 K and 318.15 K. J. Indian Chem. Soc. 80(4), 385–390 (2003)

    CAS  Google Scholar 

  2. Redlich, O., Kister, A.T.: Algebraic representation of thermodynamic properties and the classification of solutions. Ind. Eng. Chem. 40, 345–348 (1948)

    Article  Google Scholar 

  3. Herráez, J.V., Belda, R., Diez, O., Herráez, M.: An equation for the correlation of viscosities of binary mixtures. J. Solution Chem. 37, 233–248 (2008)

    Article  Google Scholar 

  4. Desnoyers, J.E., Perron, G.: Treatment of excess thermodynamic quantities for liquid mixtures. J. Solution Chem. 26, 749–755 (1997)

    Article  CAS  Google Scholar 

  5. Ouerfelli, N., Kouissi, T., Zrelli, N., Bouanz, M.: Competition of correlation viscosities equations in isobutyric acid + water binary mixtures near and far away from the critical temperature. J. Solution Chem. 38, 983–1004 (2009)

    Article  CAS  Google Scholar 

  6. Cherif, E., Ouerfelli, N., Bouaziz, M.: Competition between Redlich–Kister and adapted Herráez equations of correlation conductivities in isobutyric acid + water binary mixtures near and far away from the critical temperature. Phys. Chem. Liq. 49, 155–171 (2011)

    Article  CAS  Google Scholar 

  7. Ouerfelli, N., Kouissi, T., Iulian, O.: The relative reduced Redlich–Kister and Herráez equations for correlation viscosities of 1,4-dioxane + water mixtures at temperatures from 293.15 K to 323.15 K. J. Solution Chem. 39, 57–75 (2010)

    Article  CAS  Google Scholar 

  8. Ouerfelli, N., Iulian, O., Bouaziz, M.: Competition between Redlich–Kister and improved Herráez equations of correlation viscosities in 1,4-dioxane + water binary mixtures at different temperatures. Phys. Chem. Liq. 48, 488–513 (2010)

    Article  CAS  Google Scholar 

  9. Covington, A.K., Dickinson, T.: Physical Chemistry of Organic Solvent Systems, p. 5. Plenum, New York (1973)

    Book  Google Scholar 

  10. Das, D., Das, B., Hazra, D.K.: Viscosities of some tetraalkylammonium and alkali salts in N,N-dimethylacetamide at 25 °C. J. Solution Chem. 32, 85–91 (2003)

    Article  CAS  Google Scholar 

  11. Besbes, R., Ouerfelli, N., Latrous, H.: Density, dynamic viscosity, and derived properties of binary mixtures of 1,4-dioxane with water at T=298.15 K. J. Mol. Liq. 145, 1–4 (2009)

    Article  CAS  Google Scholar 

  12. Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th edn. Dover, New York (1972)

    Google Scholar 

  13. Peralta, R.D., Infante, R., Cortez, G., Ramírez, R.R., Wisniak, J.: Densities and excess volumes of binary mixtures of 1,4-dioxane with either ethylacrylate, or butylacrylate, or methylacrylate, or styrene at T=298.15 K. J. Chem. Thermodyn. 35, 239–250 (2003)

    Article  CAS  Google Scholar 

  14. Peralta, R.D., Infante, R., Cortez, G., Elizalde, L.E., Wisniak, J.: Density, excess volumes and partial volumes of the systems of p-xylene + ethyl acrylate, butyl acrylate, methyl methacrylate, and styrene at 298.15 K. Thermochim. Acta 421, 59–68 (2004)

    Article  CAS  Google Scholar 

  15. Wisniak, J., Peralta, R.D., Infante, R., Cortez, G., Lopez, R.G.: Densities, isobaric thermal compressibilities and derived thermodynamic properties of the binary systems of cyclohexane with allyl methacrylate, butyl methacrylate, methacrylic acid, and vinyl acetate at T= (298.15 and 308.15) K. Thermochim. Acta 437, 1–6 (2005)

    Article  CAS  Google Scholar 

  16. Wisniak, J., Villarreal, I., Peralta, R.D., Infante, R., Cortez, G., Soto, H.: Densities and volumes of mixing of the ternary system toluene + butyl acrylate + methyl methacrylate and its binaries at 298.15 K. J. Chem. Thermodyn. 39, 88–95 (2007)

    Article  CAS  Google Scholar 

  17. Tomiska, J.: Calculation of the thermodynamics of ternary systems based upon experimental data of e.m.f. measurements. Calphad 5, 81–92 (1981)

    Article  CAS  Google Scholar 

  18. Tomiska, J.: Zur konversion der Anpassungen Thermodynamischer Funktionen mittels einer Reihe Legendre’scher Polynome und der Potenzreihe. Calphad 5, 93–102 (1981)

    Article  Google Scholar 

  19. Tomiska, J.: Mathematical conversions of the thermodynamic excess functions represented by the Redlich–Kister expansion and by the Chebyshev polynomial series to power series representations and vice-versa. Calphad 8, 283–294 (1984)

    Article  CAS  Google Scholar 

  20. Ouerfelli, N., Bouanz, M.: A shear viscosity study of cerium(III) nitrate in concentrated aqueous solutions at different temperatures. J. Phys., Condens. Matter 8, 2763–2774 (1996)

    Article  CAS  Google Scholar 

  21. Jones, G., Dole, M.: The viscosity of aqueous solutions of strong electrolytes with special reference to barium chloride. J. Am. Chem. Soc. 51, 2950–2964 (1929)

    Article  CAS  Google Scholar 

  22. Nakagawa, T.: Is viscosity B coefficient characteristic for solute–solvent interaction? J. Mol. Liq. 63, 303–316 (1995)

    Article  CAS  Google Scholar 

  23. de Ruiz Holgado, M.E., de Schaefer, C.R., Araneibia, E.L.: Viscosity study of 1-propanol with polyethylene glycol 350 monomethyl ether systems at different temperatures. J. Mol. Liq. 79, 257–267 (1999)

    Article  Google Scholar 

  24. Falkenhagen, H.: Theorie der Elektrolyte. Hirzel, Leipzig (1971)

    Google Scholar 

  25. Ouerfelli, N., Bouanz, M.: Excess molar volume and viscosity of isobutyric acid + water mixtures near and far away from the critical temperature. J. Solution Chem. 35, 121–137 (2006)

    Article  CAS  Google Scholar 

  26. Ouerfelli, N., Messaâdi, A., Bel Hadj H’mida, E., Cherif, E., Amdouni, N.: Validity of the correlation—Belda equation for some physical and chemical properties in isobutyric acid + water mixtures near and far away from critical temperature. Phys. Chem. Liq. 49(5), 655–672 (2011)

    Article  CAS  Google Scholar 

  27. Ouerfelli, N., Barhoumi, Z., Besbes, R., Amdouni, N.: The reduced Redlich–Kister excess molar Gibbs energy of activation of viscous flow and derived properties in 1,4-dioxane + water binary mixtures from 293.15 K to 309.15 K. Phys. Chem. Liq. 49, 777–800 (2011)

    Article  CAS  Google Scholar 

  28. Ouerfelli, N., Iulian, O., Besbes, R., Barhoumi, Z., Amdouni, N.: On the validity of the correlation—Belda equation for some physical and chemical properties in 1,4-dioxane + water mixtures. Phys. Chem. Liq. 50, 54–68 (2012)

    Article  CAS  Google Scholar 

  29. Van Ness, H.C., Abbott, M.M.: Classical Thermodynamics of Nonelectrolyte Solutions. McGraw-Hill, New York (1982)

    Google Scholar 

  30. Perron, G., Couture, L., Desnoyers, J.E.: Correlation of the volumes and heat capacities of solutions with their solid–liquid phase diagrams. J. Solution Chem. 21, 433–443 (1992)

    Article  CAS  Google Scholar 

  31. Belda, R.: A proposed equation of correlation for the study of thermodynamic properties (density, viscosity, surface tension and refractive index) of liquid binary mixtures. Fluid Phase Equilib. 282, 88–99 (2009)

    Article  CAS  Google Scholar 

  32. Ouerfelli, N., Barhoumi, Z., Iulian, O.: Viscosity Arrhenius activation energy and derived partial molar properties in 1,4-dioxane + water binary mixtures from 293.15 K to 323.15 K. J. Solution Chem. 41, 458–474 (2012)

    Article  CAS  Google Scholar 

  33. Erdey Gruz, T.: Transport Phenomena in Aqueous Solutions. AH PB, London (1958)

    Google Scholar 

  34. Lu, J.f., Zhou, Z.y., Wu, Q.-y., Zhao, G.: Density functional theory study of the hydrogen bonding interaction in formamide dimer. J. Mol. Struct., Theochem 724, 107–114 (2005)

    Article  CAS  Google Scholar 

  35. Eyring, H., John, M.S.: Significant Liquid Structures. Wiley, New York (1969)

    Google Scholar 

  36. Ali, A., Nain, A.K., Hyder, S.: Ion–solvent interaction of sodium iodide and lithium nitrate in N,N-dimethylformamide + ethanol mixtures at various temperatures. J. Indian Chem. Soc. 75, 501–505 (1998)

    CAS  Google Scholar 

  37. Leaist, D.G., MacEwan, K., Stefan, A., Zamari, M.: Binary mutual diffusion coefficients of aqueous cyclic ethers at 25 °C. Tetrahydrofuran, 1,3-dioxolane, 1,4-dioxane, 1,3-dioxane, tetrahydropyran, and trioxane. J. Chem. Eng. Data 45(5), 815–818 (2000)

    Article  CAS  Google Scholar 

  38. Iulian, O., Ciocîrlan, O.: Viscosity and density of systems with water, 1,4-dioxane and ethylene glycol between (293.15 and 313.15) K. I. Binary systems. Rev. Roum. Chim. 55, 45–53 (2010)

    CAS  Google Scholar 

  39. Guettari, M., Gharbi, A.: A correspondence between Grunberg–Nissan constant d′ and complex varieties in water/methanol mixture. Phys. Chem. Liq. 49, 459–469 (2011)

    Article  CAS  Google Scholar 

  40. Bearman, R.J., Jones, P.F.: Statistical mechanical theory of the viscosity coefficients of binary liquid solutions. J. Chem. Phys. 33, 1432–1438 (1960)

    Article  Google Scholar 

  41. Chevalier, J.L., Petrino, P., Gasto-Bonhomme, Y.: Estimation method for the kinematic viscosity of a liquid-phase mixture. J. Chem. Eng. Sci. 43, 1303–1309 (1988)

    Article  CAS  Google Scholar 

  42. Longuet-Higgins, H.C.: The statistical thermodynamics of multicomponent systems. Proc. R. Soc. Lond., Ser. A, Math. Phys. Sci. 205, 247–269 (1951)

    Article  CAS  Google Scholar 

  43. Matsubayashi, N., Nakahara, M.: Dynamics in regular solution: concentration and viscosity dependence of orientational correlation of a benzene molecule. J. Chem. Phys. 94, 653–661 (1991)

    Article  CAS  Google Scholar 

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Das, D., Ouerfelli, N. The Relative Reduced Redlich–Kister and Herráez Equations for Correlating Excess Properties of N,N-Dimethylacetamide + Formamide Binary Mixtures at Temperatures from 298.15 K to 318.15 K. J Solution Chem 41, 1334–1351 (2012). https://doi.org/10.1007/s10953-012-9878-4

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