Abstract
For the first time cesium diffusivity in aqueous solutions of rubidium chloride is being reported here in the concentration range from 0.001 to 4.00 mol⋅dm−3. The measurement use a radioactive tracer technique employing a sliding cell mechanism. These diffusivity values were utilized to understand the transport mechanism of Cs ion in the RbCl–H2O system using the Onsager-Gosting-Harned equation and the extended Debye-Hückel equation. The observed deviation between the theoretical and experimental diffusivities are explained by introducing the concept of Field-Dielectric-Gradient forces and energies that exist around an ion, which takes care of the finite size of the ion, ion-water interaction and the ion-ion interaction in a continuum basis.
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Kropman, M.K., Bakkar, H.J.: Dynamics of water molecules in aqueous solvation shells. Science 291, 2118–2120 (2001)
Chandra, A.: Effects of ion atmosphere on hydrogen-bond dynamics in aqueous electrolyte solutions. Phys. Rev. Lett. 85, 768–771 (2000)
Barthel, J.M.G., Krienke, H., Kunz, W.: Physical Chemistry of Electrolyte Solutions. Springer, New York (1998)
Hubbard, J.B., Wolynes, P.G.: In: Dogonadze, R.R., et al. (eds.) Chemical Physics of Solvation Part D. Elsevier, Amsterdam (1988)
Roux, B., Karplus, M.: Molecular dynamics simulations of the gramicidin channel. Ann. Rev. Biophys. Biomol. Struct. 23, 732–753 (1994)
Chakrabarti, H.: Cation diffusion coefficients in CsCl–H2O system over the concentration range 0.009 to 10.00 mol⋅dm−3 at 25 °C. Appl. Radiat. Isot. 45, 171–175 (1994)
Rusli, I.T., Schrader, G.L., Larson, M.A.: Raman spectroscopic study of NaNO3 solution system–solute clustering in supersaturated solution. J. Cryst. Growth 97, 345–351 (1989)
Georgalis, Y., Kierzek, A.M., Saenger, W.: Cluster formation in aqueous electrolyte solutions observed by dynamic light scattering. J. Phys. Chem. B 104, 3405–3406 (2000)
Ruanhui, L., Leaist, D.G.: Mutual diffusion in solutions of alkali metal halides–aqueous LiF, NaF and KF at 25 °C. J. Chem. Soc. Faraday Trans. 94, 111–114 (1998)
Rajurkar, N.S., Patil, D.D.: Electrolyte diffusion of cesium bromide in water at 25 °C. Appl. Radiat. Isot. 55, 289–292 (2001)
Rajurkar, N.S., Gokarn, N.A.: Studies on self and electrolyte diffusion in cesium halides. Appl. Radiat. Isot. 58, 441–445 (2003)
Dufreche, J.F., Bernard, O., Turq, P.: Transport of electrolyte solutions: are ions Brownian particles? J. Mol. Liq. 118, 189–194 (2005)
Behzadi, B., Patel, B.H., Galindo, A., Ghotbi, C.: Modeling electrolyte solutions with the SAFT–VR equation using Yukawa potentials and the mean–spherical approximation. Fluid Phase Equilib. 236, 241–255 (2005)
Goa, G.-H., Shi, H.-B., Yu, Y.-X.: Mutual diffusion coefficients of concentrated 1:1 electrolyte from the modified meas spherical approximation. Fluid Phase Equilib. 256, 105–111 (2007)
Haghtalab, A., Mazloumi, S.H.: A square-well equation of state for aqueous strong electrolyte solutions. Fluid Phase Equilib. 285, 96–104 (2009)
Hasan, S.A.: Morphology of ion clusters in aqueous electrolytes. Phys. Rev. E 77, 031501 (2008)
Mills, R., Woolf, L.A.: Tracer–diffusion coefficients of cesium ion in aqueous alkali chloride solutions at 25 °C. J. Phys. Chem. 63, 2068–2069 (1959)
Stell, G., Patey, G.N., Hoye, J.S.: Dieletric constants of fluid models: statistical mechanical theory and its quantitative implementation. Adv. Chem. Phys. 48, 183–328 (1981)
Ramanathan, P.S., Friedman, H.L.: Study of a refined model for aqueous 1–1 electrolytes. J. Chem. Phys. 54, 1086–1099 (1971)
Friedman, H.L.: Ionic Solution Theory. Interscience, New York (1963)
Duferche, J.F., Bernard, O., Turq, P., Mukherjee, A., Bagchi, B.: Ionic self diffusion in concentrated aqueous electrolyte solutions. Phys. Rev. Lett. 88, 095902 (2002)
Friedman, A.M., Kennedy, J.W.: The self-diffusion coefficients of potassium, cesium, iodide and chloride ions in aqueous solutions. J. Am. Chem. Soc. 77, 4499–4501 (1955)
Chakrabarti, H., Changdar, S.N.: Accurate measurement of tracer diffusion coefficient in aqueous solutions with sliding cell technique. Appl. Radiat. Isot. 43, 405–417 (1992)
Chakrabarti, H.: Strong evidence of isotope effect in diffusion of NaCl and CsCl solution. Phys. Rev. B 51, 12809–12812 (1995)
Chakrabarti, H.: Anomalies in the ion transport of phosphoric acid in water and heavy water environments. J. Phys. Cond. Matt. 8, 7019–7029 (1996)
Gosting, L.J., Harned, H.S.: The application of Onsager theory of ionic mobilities to self-diffusion. J. Am. Chem. Soc. 73, 159–161 (1951)
Onsager, L., Fuoss, R.M.: Irreversible processes in electrolytes. Diffusion, conductance, and viscous flow in arbitrary mixtures of strong electrolytes. J. Phys. Chem. 36, 2689–2778 (1930)
Stokes, R.H., Woolf, L.A., Mills, R.A.: Tracer diffusion of iodide ion in aqueous alkali chloride solutions at 25 °C. J. Am. Chem. Soc. 61, 1634–1636 (1957)
Bahe, L.W.: Structure in concentrated solutions. Field–dielectric–gradient forces and energies. J. Phys. Chem. 76, 1062–1071 (1972)
Ritson, D.M., Hasted, J.B.: Dielectric properties of aqueous ionic solutions. Parts I & II. J. Chem. Phys. 16, 1–21 (1948)
Padova, J.: Ion–solvent interaction. II. Partial molar volume and electrostriction: a thermodynamic approach. J. Chem. Phys. 39, 1552–1557 (1963)
Hyman, A., Vaughn, P.A.: Small angle scattering by solutions of complex ions. In: Proceeding of the Conference on “Small Angle Scattering” held at Syracuse Univ., June 1965, Gordon and Breach New York, N. Y., 1967, p. 477
Mills, R., Lobo, V.M.M.: Physical Sciences Data 36: Self Diffusion in Electrolyte Solutions. Elsevier, Amsterdam (1989)
Chakrabarti, H., Sil, S., Kundu, S.: (to be published)
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Chakrabarti, H., Kanjilal, B. Measurement of the Diffusivity of Cesium Ion in Aqueous Rubidium Chloride Solution. J Solution Chem 39, 409–416 (2010). https://doi.org/10.1007/s10953-010-9508-y
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DOI: https://doi.org/10.1007/s10953-010-9508-y