Abstract
The solubilities of salts and densities of saturated solutions in the NaCl–NaBr–H2O system at 323 K were determined with the method of isothermal solution saturation. The equilibrium solid phases in this system are solid solutions [Na(Cl,Br)]. The solid–liquid equilibrium phase diagram of the system has no invariant point. It has only one univariant curve and one crystallization region {saturated with solid solution Na(Cl,Br)}. Based on the above experimental results, the solid solution compositions fit well to a quadratic function of the equilibrium liquid composition. Based on the solubility data in the ternary systems NaCl–NaBr–H2O, the activity product (Q) of the solid solution was formulated with a polynomial of the solid solution composition. The solubilities salts in the ternary system at 323 K were calculated by Pitzer equations with the activity product of the solid solution. The results agree well with the experimental data.
Similar content being viewed by others
References
Lin, Y.T., Cao, S.X.: Rare gas field brines rich in potassium and boron of western Sichuan basin. China. Chin. Geol. (China) 28(7), 45–47 (2001)
Lin, Y.T.: Geochemical characteristics of gas field water in one field in west Sichuan and its development evaluation. Natural Gas. Ind. (China) 20(5), 9–14 (2000)
Weng, Y.B., Wang, J.K., Yin, Q.X., Wang, Y.F.: Solid–liquid equilibria in the ternary system NaCl–NaBr–H2O. Petrochem. Technol. (China) 36(4), 358–361 (2007)
Weng, Y.B., Wang, Y.F., Wang, J.K., Yin, Q.X.: Phase diagram of the ternary system KCl–KBr–H2O at 298, 313 and 333 K. J. Chem. Eng. Chin. Univ. (China) 21(4), 695–698 (2007)
Tang, T.X., Zhang, F.X., Guo, Z.Z., Huang, J.Y.: A study on the systems of lithium and potassium halides or salt lake and bittern resources. IV. the ternary systems NH4I–LiI–H2O, LiI–LiBr–H2O and NH4Br–LiBr–H2O at 298.2 K. J. Salt Lake. Res. (China) 1(3), 9–12 (1993)
Sang, S.H., Yin, H.A., Ni, S.J., Zhang, C.J.: A study on equilibrium solubilities and properties of solutions in the ternary system K2B4O7–KBr–H2O at 298 K. J. Chengdu Univ. Tech. (Science & Technology Edn.) (China) 33(4), 414–416 (2006)
Sang, S.H., Yu, H.Y.: Study on the phase equilibrium of Na2B4O7–NaBr–H2O ternary system at 298 K. J. Salt Chem. Ind. (China) 35(2), 4–6 (2006)
Sang, S.H., Sun, M.L., Li, H., Zhang, X., Zhang, K.J.: A study on the phase equilibria of the quaternary system \({\text{Na}}^{ + } ,\,{\text{K}}^{ + } //{\text{Br}}^{ - } ,{\text{SO}}_{4}^{{2 - }} - {\text{H}}_{2} {\text{O}}\)at 323 K. Chin. J. Inorg. Chem. (China) 27(5), 845–849 (2011)
Sun, M.L., Sang, S.H., Li, H., Zhao, X.Y.: Study on the phase equilibria in ternary system NaBr–Na2SO4–H2O at 323 K. Chem. Eng. (China) 38(7), 67–70 (2010)
Wang, D., Sang, S.H., Zeng, X.X., Ning, H.Y.: The phase equilibria of quaternary system KCl–KBr–K2SO4–H2O at 323 K. Petrochem. Technol. (China) 40(3), 285–288 (2011)
Sang, S.H., Cui, R.Z., Hu, J.W., Wang, D.: Measurements of the solid–liquid equilibria in the quaternary system NaCl–NaBr–Na2SO4–H2O at 323 K. J. Solution Chem. 42, 1633–1640 (2013)
Li, T., Sang, S.H., Cui, R.Z., Zhang, K.J.: Phase equilibria of quaternary system NaCl–NaBr–Na2B4O7–H2O at 348 K. Chem. Res. Chin. Univ. 29(2), 311–313 (2013)
Ning, H.Y., Sang, S.H., Wang, D., Zeng, X.X.: Study on the phase equilibria in quaternary system NaB4O7–NaBr–Na2SO4–H2O at 348 K. Chem. Eng. (China) 40(4), 27–30 (2012)
Cui, R.Z., Sang, S.H., Hu, Y.X.: Liquid–solid equilibria in the quaternary systems KCl–KBr–K2B4O7–H2O and KCl–KBr–K2SO4 –H2O at 373 K. J. Chem. Eng. Data. 58, 477–481 (2013)
Harvie, C., Weare, J.H.: The prediction of mineral solubilities in natural waters: the Na–K–Mg–Ca–Cl–SO4–H2O system from zero to high concentration at 25 °C. Geochim. Cosmochim. Acta. 44, 981–997 (1980)
Harvie, C., Møller, N., Weare, J.H.: The prediction of mineral solubilities in natural waters: the Na–K–Mg–Ca–H–Cl–SO4–OH–HCO3–CO3–CO2–H2O system from zero to high concentration at 25 °C. Geochim. Cosmochim. Acta. 48, 723–751 (1984)
Christov, C., Møller, N.: A chemical equilibrium model of solution behavior and solubility in the H–Na–K–Ca–OH–Cl–HSO4–SO4–H2O system to high concentration and temperature. Geochim. Cosmochim. Acta. 68, 3717–3739 (2004)
Felmy, A.R., Weare, J.H.: The prediction of borate mineral equilibria in nature waters: application to searles lake. California. Geochim. Cosmochim. Acta. 50, 2271–2783 (1986)
Christov, C.: An isopiestic study of aqueous NaBr and KBr at 50 °C: chemical equilibrium model of solution behavior and solubility in the NaBr–H2O, KBr–H2O and Na–K–Br–H2O systems to high concentration and temperature. Geochim. Cosmochim. Acta. 71, 3557–3569 (2007)
Christov, C.: Isopiestic investigation of the osmotic coefficients of MgBr2(aq) and study of bromide salts solubility in the (m1KBr + m2MgBr2)(aq) system at T = 323.15 K. thermodynamic model of solution behavior and (solid + liquid) equilibria in the MgBr2(aq), and (m1KBr + m2MgBr2)(aq) systems to high concentration and temperature. J. Chem. Thermodyn. 43, 344–353 (2011)
Christov, C.: Temperature variable chemical model of bromide–sulfate solution interaction parameters and solid–liquid equilibria in the Na–K–Ca–Br–SO4–H2O system. Calphad 36, 71–81 (2012)
Christov, C.: Study of bromide salts solubility in the (m1NaBr + m2MgBr2)(aq) system at T = 323.15 K. thermodynamic model of solution behavior and solid–liquid equilibria in the (Na–K–Mg–Br–H2O) system to high concentration and temperature. J. Chem. Thermodyn. 47, 335–340 (2012)
Christov, C.: Isopiestic investigation of the osmotic coefficients of aqueous CaBr2 and study of bromide salt solubility in the Na–Ca–Br–H2O system at 50 °C: thermodynamic model of solution behavior and solid–liquid equilibria in the CaBr–H2O, and Na–Ca–Br–H2O systems to high concentration and temperature. Calphad 35, 42–53 (2011)
Millero, F.J., Byrne, R.H.: Use of pitzer’s equations to determine the media effect on the formation of lead chloro complexes. Geochim. Cosmochim. Acta. 48, 1145–1150 (1984)
Easley, R.A., Byrne, R.H.: The ionic strength dependence of lead(II) carbonate complexation in perchlorate media. Geochim. Cosmochim. Acta. 75, 5638–5647 (2011)
Woosley, R.J., Millero, F.J.: Pitzer model for the speciation of lead chloride and carbonate complexes in natural waters. Marine Chem. 149, 1–7 (2013)
Zeng, X.X., Sang, S.H., Wang, D., Zhang, J.J.: Theoretical calculation of phase equilibria in quaternary reciprocal system Na+, K+//Br−, SO4 2−–H2O at 323 K. Chem. Eng. (China) 40(5), 32–35 (2012)
Hu, B., Song, P.S., Li, Y.H., Li, W.: Solubility prediction in the ternary systems NaCl–RbCl–H2O, KCl–CsCl–H2O and KBr–CsBr–H2O at 25 °C using the ion-interaction model. Calphad 31, 541–544 (2007)
Ren, B.S., Cao, J.L.: Thermodynamical correlation of the phase equilibria in the brine-salt system containing solid solutions. J. Chem. Eng. Chin. Univ. (China) 17, 119–122 (2003)
Fan, C.M., Shu, L., Yu, H.R., Shi, Y.F.: Calculation of the solubility data of the ternary systems K2SO4–(NH4)2SO4–H2O and KCl–NH4Cl–H2O containing solid solution. J. Chem. Eng. Chin. Univ. (China) 12(1), 64–69 (1998)
Zhang, Y.J., Cao, J.L., Li, L., Ren, B.S.: Phase equilibria in the quaternary system K2SO4–(NH4)2SO4–CO(NH2)2–H2O at 25 °C. Chin. J. Process. Eng. 3, 212–217 (2003)
Wang, Y.J., Tian, L.N.: Determination of the phase diagram of the K+, NH4 +//Cl−, SO4 2−–H2O system. J. Wuhan. Inst. Chem. Tech. (China) 27, 11–14 (2005)
Silcock, H.L.: Solubilities of inorganic and organic compounds, ternary and multicomponent systems of inorganic substances, Vol. 3, pp. 593–598. Oxford pergamon press, U.K. (1979)
Durham, G.S., Rock, E.J., Frayn, S.F.: Solid solutions of the alkali halides. 1. the systems KBr–KCl–H2O, RbBr–RbCl–H2O, RbBr–KBr–H2O at 25 °C. J. Am. Chem. Soc. 75, 5793–5794 (1953)
Silcock, H.L.: Solubilities of inorganic and organic compounds, ternary and multicomponent systems of inorganic substances, Vol. 2, pp. 1051–1055. Oxford pergamon press, U. K. (1979)
Putnis, C.V., Mezger, K.: A mechanism of mineral replacement: isotope tracing in the model system KBr–KCl–H2O. Geochim. Cosmochim. Acta. 68, 2839–2848 (2004)
Ronald, K.S., Alden, B.C.: Stoichiometric saturation tests of NaCl1−x Br x and KCl1−xBrx. Geochim. Cosmochim. Acta. 50, 1465–1474 (1986)
Zhang, K.J., Sang, S.H., Wang, D., Zhang, J.J.: Phase diagram for the ternary system of KCl–KBr–H2O at 323 K. J. Salt Chem. Ind. (China) 40(6), 5–7 (2011)
Hu, Y.X., Sang, S.H., Cui, R.Z., Zhong, S.Y.: Solid–liquid equilibria in the ternary system KCl–KBr–H2O at 348 K. J. Chem. Eng. Data. 59, 802–806 (2014)
Hu, Y.X., Sang, S.H., Cui, R.Z., Zhong, S.Y.: Solid–liquid equilibria in the ternary system KCl–KBr–H2O at 373 K. China. Sci. Papers. (China) 8(9), 847–851 (2013)
Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE international conference on neural networks 4, 1995
Ji, Z., Liao, H.L., Wu, Q.H.: Particle swarm optimization and its applications (in chinese). Science press, Beijing (2005)
Acknowledgments
This project was supported by the National Natural Science Foundation of China (41373062, 41172118), the Specialized Research Fund (20125122110015) for the Doctoral Program of Higher Education of China, and the Fund (KLSLRC-KF-13-HX-5) of Key Laboratory of Salt Lake Resources and Chemistry, Chinese Academy of Sciences (Qinghai Institute of Salt Lakes).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sang, SH., Cui, RZ., Hu, YX. et al. Measurements and Calculations of Solid–Liquid Equilibria in the Ternary System NaCl–NaBr–H2O at 323 K. J Solution Chem 43, 2133–2143 (2014). https://doi.org/10.1007/s10953-014-0264-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10953-014-0264-2