Abstract
Experimental solubilities of amorphous silica in several aqueous electrolyte solutions and in aqueous solutions of organic compounds, and theoretical considerations of cavity formation, electrostriction collapse, ion solvation and long- and short-range interaction of the solvated ions with one another permit the calculation of the partial excess free energy and the activity coefficient of aqueous silica. It is shown that in the case of non-dissociated organic compoundwater solutions, the variation of log \( {m_{Si{O_2}}} \) with the reciprocal of the dielectric constant of the solution is described by a single linear equation whatever the nature of the organic compound. For aqueous electrolyte solutions, a specific linear relationship between log \( {m_{Si{O_2}}} \) and the reciprocal of the dielectric constant occurs for each electrolyte. The success of the theoretical equation in reproducing the experimental solubilities of amorphous silica in aqueous solutions of electrolytes and organic compounds supports previous evidence indicating a polar charge distribution in the solvated SiO2 molecule. Our data afford the calculation of the effective local charge of dissolved SiO2 molecules and of the short-range interaction parameters between SiO2 and various ions at temperatures up to 350°C.
The proposed equation of state can be used to calculate the chemical affinity of reactions among SiO2-minerals and complex aqueous solutions. As an application, it is shown that this equation allows an accurate prediction of quartz solubility in aqueous solutions of NaCl at temperatures up to 350°C. It is deduced that in this temperature range, quartz and amorphous silica solubilities are consistent with a simple monomeric model for aqueous silica.
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References
Akerlöf G. 1932, “Dielectric constants of some organic solvent-water mixtures at various temperatures”. J. Am. Chem. Soc., 54, pp. 4125–4139.
Anderson G.M. and Burnham C.W. 1965, “The solubility of quartz in supercritical water”. Amer. J. Sci., 263, pp. 494–511.
Arânyi I. and Liszi J. 1981, “Activity coefficient of strong electrolytes in concentrated solution”. Acta Chem. Acad. Scientiarium Hungaricae, 106(4), pp. 325–333.
Bjerrum N. 1929, “Neuere Ansehaungen über Elektrolyte”. Deutsche Chem. Gesell. Ber., 62, pp. 1091–1103.
Born Von M. 1920, “Volumen und Hydratationswarme der Ionen”. Zeitschr. Physik, 1, pp. 45–48.
Chen C-T.A. and Marshall W.L. 1982, “Amorphous silica solubility IV. Behavior in pure water and aqueous sodium choride, sodium sulfate, magnesium chloride, and magnesium sulfate solutions up to 350°C”. Geochim. Cosmochim Acta, 46, pp. 279–287.
Dandurand J.L., Schott J. and Tardy Y. 1982, “Solubilité de la silice dans des solutions aqueuses très concentrées de formamide et de chlorure de lithium. Determination du coefficient d’activite de la silice en solution”. Bull. Mineral., 105, pp. 357–363.
Dandurand J.L. and Schott J. 1985, “Prèvision de la solubilité de la silice dans des eaux de forages petroliers de la Mer du Nord”. In: Interactions Solide-Liquide dans les milieux poreux. J.M. Cases, Ed., pp. 75–89, Technip Paris.
Dandurand J.L. and Schott J. 1986, “Modelisation of the thermodynamic behavior of aqueous silica in aqueous solutions of electrolyte and non-electrolytes”. J. Sol. Chem. (in press).
Debye P. and Mc Aulay J. 1925, “Das elektrische Feld der Ionen und die Neutralsalzwirkung”. Physik. Z., 26, pp. 22–29.
Duedall I. W., Dayal R. and Willey J. D. 1976, “The partial volume of silicic acid in 0.725m NaC1”. Geochim. Cosmochim. Acta, 40, pp. 1185–1189.
Fournier R.O. 1979, “Discussion-calculation of the thermodynamic properties of aqueous silica and the solubility of quartz and its polymorphs at high pressures and temperatures”. Amer. J. Sci., 279, pp. 1070–1078.
Fournier R.O. 1983, “A method of calculating quartz solubilities in aqueous sodium chloride solutions”. Geochim. Cosmochim. Acta, 47, pp. 579–586.
Fournier R.O. and Potter R.W. II, 1982, “An equation correlating the solubility of quartz in water from 25° to 900°C at pressure up to 10000 bars”. Geochim. Cosmochim. Acta, 46, pp. 1969–1978.
Fournier R.O., Rosenbauer R.J. and Bischoff J.L. 1982, “The solubility of quartz in aqueous sodium chloride solutions at 350°C and 180 to 500 bars”. Geochim. Cosmochim. Acta, 46, pp. 1975–1978.
Fournier R.O. and Marshall W.L. 1983, “Calculation of amorphous silica solubilities at 25° to 300°C and apparent cation hydration numbers in aqueous salt solutions using the concept of effective density of water”. Geochim. Cosmochim. Acta, 47, pp. 587–596.
Franck E.U. 1956, “Zur Löslichkeit fester Stoffe in verdichten Gasen”. Zeitschr. Physics Chemie, 6, pp. 345–355.
Ganeyev I.G. 1975, “Solubility and crystallization of silica in chloride”. Doklady Akademia Nauk. SSSR., 224, pp. 248–250.
Gottlob D. 1976, In: Water, a Comprehensive Treatise, vol. III, F. Franks, Ed., pp. 401–431, Plenum, New York. (unpublished data).
Guggenheim E.A. 1935, “The specific thermodynamic properties of aqueous solutions of strong electrolytes”. Philos. Mag., 19, pp. 588–643.
Handbook of Chemistry and Physics, 61st edition (1980). CRC Press.
Hasted J.B. 1976, “Dielectric properties”. In: Water, a Comprehensive Treatise, Vol. II,F. Franks Ed., pp. 405–458. Plenum, New York.
Hasted J.B., Ritson D.M. and Collie C.H. 1948, “Dielectric properties of aqueous ionic solutions”. Parts I and II. Jour. Chem. Physics, 16, pp. 1–21.
Helgeson H.C. and Kirkham D.H. 1974, “Theoretical prediction of the thermodynamic behavior of aqueous electrolytes at high pressures and temperatures: I. Summary of the thermodynamic/electrostatic properties of the solvent”. Amer. J. Sci., 274, pp. 1089–1198.
Helgeson H.C. and Kirkham D.H. 1976, “Theoretical prediction of the thermodynamic properties of aqueous electrolytes at high pressures and temperatures. III. Equation of state for aqueous species at infinite dilution”. Amer. Jour. Sci., 276, pp. 97–240.
Helgeson H.C., Kirkham D.H. and Flowers G.C. 1981, “Theoretical prediction of the thermodynamic behavior of aqueous electrolytes at high pressures and temperatures;. IV calculation of activity coefficients, osmotic coefficients, and apparent molal and standard and relative partial molal properties to 600°C and 5 kb”. Amer. J. Sci., 281, pp. 1249–1516.
Hemley J.J., Montoya M. and Luce R.W. 1980, “Equilibria in the system A12O3-SiO2-H2O and some general implications for alteration/mineralization processes”. Econ. Geol., 75, pp. 210–228.
Iler R.K. 1979, The Chemistry of Silica, 866 p., John Wiley and sons, New York.
Kirkwood J.G. 1939, “The dielectric polarization of polar liquids”. Jour. Chem. Physics, 7, pp. 911–919.
Khitarov N.I. 1956, “The 400° isotherm for the system H20-SiO2”Amer. J. Sci., 260, pp. 501–521.
Kitahara S. 1960, “The solubility of quartz in water at high temperatures and high pressures”. Rev. Phys. Chem. Japan, 30, pp. 109–114.
Kitahara S. 1960, “The solubility equilibrium and the rate of solution of quartz in Water at high temperatures and high pressures”. Rev. Phys. Chem. Japan, 30, pp. 122–130.
Kitahara S. and Asano T. 1973, “Dissolution of calcined silica gel powders in methanol-water solution at 100–200°C”. Bull of Fukuoka Univ. of Education, 23, part III, pp. 53–57.
Kruyt H.R. and Robinson C. 1926, “On lyotropy”. Konink. Akad. Van Wetensch. Amsterdam (Proceedings of the Sect. of Sciences), 29 pp. 1244–1250.
Lenher V. and Merill H.B. 1965, In: Solubilities Inorganic and Metal-Organic Compounds, Vol. II, W.K. Linke Ed. American Chemical Society, Washington, pp. 1452–1453.
Long F.A. and Mc Devit W.F. 1952, “Activity coefficient of non electrolytes solutes in aqueous salt solution”. Chem. Rev., 51, pp. 119–169.
Marshall W.L. 1980, “Amorphous silica solubility. I. Behavior in aqueous sodium nitrate solutions: 25–300°C, 0–6 molal”. Geochim. Cosmochim. Acta, 44, pp. 907–913.
Marshall W.L. 1980, “Amorphous silica solubilities. III. Activity coefficient relations and prediction of solubility behavior in salt solutions, 0–350°C”. Geochim. Cosmochim. Acta, 44, pp. 925–931.
Marshall W.L. and Warakomski J.M. 1980, “Amorphous silica solubilities. II. Effect of aqueous salt solutions at 25°C”. Geochim. Cosmochim. Acta, 44, pp. 915–924.
Marshall W.L. and Chen C-T. A. 1982, “Amorphous silica solubility. V. Predictions of solubility behavior in aqueous mixed electrolyte solutions to 300°C”. Geochim. Cosmochim. Acta, 46, pp. 289–291.
Pannetier G. and Souchay P. 1964, Chimie Générale, Cinétique Chimique, 365 p., Masson Ed., Paris.
Pitzer K.S. 1973, “Thermodynamic of electrolytes. I. Theoretical basis and general equations”. J. Phys. Chem., 77, pp. 268–277.
Pitzer K.S. 1981, “Characteristics of very concentrated aqueous solutions”. In: Chemistry and Geochemistry of Solutions at High Temperatures and Pressures, D.T. Rickard and F.E. Wickman Ed., Pergamon Press, New York, pp. 249–272.
Pitzer K.S. and Brewer L. 1979, “Simplification of thermodynamic calculations through dimensionless entropies”. High Temps Sci., 11, pp. 49–53.
Pottel R. 1973, “Dielectric properties”. In: Water, a Comprehensive Treatise, Vol. III, F. Franks, Ed., pp. 401–431, Plenum, New York.
Randall M. and Failey C.F. 1927, “The activity coefficients of gases in aqueous salt solutions”. Chem. Rev. 4, pp. 271–290.
Randall M. and Failey C.F. 1927, “The activity coefficients of nonelectrolytes in aqueous salt solutions from solubility measurements. The salting-out order of the ions”. Chem. Rev., 4, pp. 285–290.
Randall M. and Failey C.F. 1927, “The activity coefficient of the undissociated part of weak electrolytes”. Chem. Rev., 4, pp. 291–318.
Scatchard G. 1936, “Concentrated solutions of strong electrolytes”. Chem. Rev., 19, pp. 309–327.
Setchenow M. 1892, “Action de l’acide carbonique sur les solutions des sels à acides forts”. Ann. Chim. Phys., (6) 25, pp. 226–270.
Walther J.V. and Helgeson H.C. 1977, “Calculation of the thermodynamic properties of aqueous silica and the solubility of quartz and its polymorphs at high pressures and temperatures”. Amer. J. Sci., 277, pp. 1315–1351.
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Schott, J., Dandurand, JL. (1987). Prediction of the Thermodynamic Behavior of Aqueous Silica in Aqueous Complex Solutions at Various Temperatures. In: Helgeson, H.C. (eds) Chemical Transport in Metasomatic Processes. NATO ASI Series, vol 218. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4013-0_28
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DOI: https://doi.org/10.1007/978-94-009-4013-0_28
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