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Osmotic Coefficients of the Li2B4O7+LiCl + H2O System at T=273.15 K

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Abstract

Osmotic coefficients and water activities for the Li2B4O7+LiCl+H2O system have been measured at T=273.15 K by the isopiestic method, using an improved apparatus. Two types of osmotic coefficients, φ S and φ E, were determined. φ S is based on the stoichiometric molalities of the solute Li2B4O7(aq), and φ E is based on equilibrium molalities from consideration of the equilibrium speciation into H3BO3,B(OH) −4 and B3O3(OH) −4 . The stoichiometric equilibrium constants K m for the aqueous speciation reactions were estimated. Two types of representations of the osmotic coefficients for the Li2B4O7+LiCl+H2O system are presented with ion-interaction models based on Pitzer’s equations with minor modifications: model (I) represents the φ S data with six parameters based on considering the ion-interactions between three ionic species of Li+, Cl−, and B4O 2−7 , and model (II) for represents the φ E data based on considering the equilibrium speciation. The parameters of models (I) and (II) are presented. The standard deviations for the two models are 0.0152 and 0.0298, respectively. Model (I) was more satisfactory than model (II) for representing the isopiestic data.

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References

  1. Pitzer, K.S.: Ion interaction approach: theory and data correlation. In: Pitzer, K.S. (ed.) Activity Coefficients in Electrolyte Solutions, 2nd edn. CRC Press, Boca Raton (1991), Chap. 3

    Google Scholar 

  2. Felmy, A.R., Weare, J.H.: The prediction of borate mineral equilibria in natural waters: application to Searles Lake, California. Geochim. Cosmochim. Acta 50, 2771–2783 (1986). doi:10.1016/0016-7037(86)90226-7

    Article  CAS  Google Scholar 

  3. Song, P.S., Yao, Y.: Thermodynamics and phase diagram of the salt lake brine system at 25 °C. I. Li+, K+, Mg2+/Cl−,SiO 2−4 , –H2O system. Calphad 25, 329–341 (2001). doi:10.1016/S0364-5916(01)00053-0

    Article  CAS  Google Scholar 

  4. Zhang, A.-y., Yao, Y.: Thermodynamic studies by electromotive force method and ion-interaction model for Li2B4O7–MgCl2–H2O system at 298.15 K. Acta Chim. Sin. 64, 501–507 (2006) (in Chinese)

    CAS  Google Scholar 

  5. Rard, J.A., Clegg, S.L., Palmer, D.A.: Isopiestic determination of the osmotic coefficients of Na2SO4(aq) at 25 and 50 °C, and representation with ion-interaction (Pitzer) and mole fraction thermodynamic models. J. Solution Chem. 29, 1–49 (2000). doi:10.1023/A:1005182316790

    Article  CAS  Google Scholar 

  6. Kabiri-Badr, M., Zafarani-Moattar, M.T.: Volumetric and isopiestic studies of (H2O+K2HPO4+KH2PO4) at 25 °C. J. Chem. Eng. Data 40, 412–414 (1995). doi:10.1021/je00018a009

    Article  CAS  Google Scholar 

  7. Palmer, D.A., Archer, D.G., Rard, J.A.: Isopiestic determination of the osmotic and activity coefficients of K2SO4(aq) at the temperatures 298.15 and 323.15 K, and revision of the thermodynamic properties of the K2SO4+ H2O system. J. Chem. Eng. Data 47, 1425–1431 (2002). doi:10.1021/je025531c

    Article  CAS  Google Scholar 

  8. Yao, Y., Sun, B., Song, P.S., Zhang, Z., Wang, R.L., Chen, J.Q.: Thermodynamics of aqueous electrolyte solutions. Isopiestic determination of osmotic and activity coefficients in LiCl–MgCl2–H2O at 25 °C. Acta Chim. Sin. 50, 839–848 (1992) (in Chinese)

    CAS  Google Scholar 

  9. Zhang, Z., Yao, Y., Song, P.S., Chen, J.Q.: Isopiestic determination of the osmotic and activity coefficients of aqueous mixtures of Li2SO4 and MgSO4. Acta Physico-Chim. Sinica 9, 366–373 (1993) (in Chinese)

    CAS  Google Scholar 

  10. Wang, R.L., Yao, Y., Zhang, Z., Wu, G.L.: Studies of thermodynamic properties for LiCl–Li2SO4–H2O system at 25 °C by the EMF method. Acta Chim. Sin. 51, 534–542 (1993) (in Chinese)

    CAS  Google Scholar 

  11. Yao, Y., Wang, R.L., Ma, X.C., Song, P.S.: Thermodynamic properties of aqueous mixtures of LiCl and Li2SO4 at different temperatures. J. Therm. Anal. 45, 117–130 (1995). doi:10.1007/BF02548671

    Article  CAS  Google Scholar 

  12. Long, G.M., Yao, Y., Wang, F.Q., Wang, R.L.: Isopiestic determination of activity coefficients of LiCl and CaCl2 in the LiCl–CaCl2–H2O system at 298.15 K. Acta Physico Chim. Sin. 15, 956–960 (1999) (in Chinese)

    CAS  Google Scholar 

  13. Ingri, N., Lagerstrom, G., Frydman, M., Sillen, L.G.: Equilibrium studies of polyanions. II. Polyborates in NaClO4 medium. Acta Chem. Scand. 11, 1034–1058 (1957). doi:10.3891/acta.chem.scand.11-1034

    Article  CAS  Google Scholar 

  14. Maeda, M., Sunaoka, Y., Kakihana, H.: Solvent deuterium isotope effect on hydrolysis of boric acid. J. Inorg. Nucl. Chem. 40, 509–514 (1978). doi:10.1016/0022-1902(78)80433-3

    Article  CAS  Google Scholar 

  15. Platford, R.F.: Osmotic and activity coefficients of some simple borates in aqueous solution at 25 °C. Can. J. Chem. 47, 2271–2273 (1969). doi:10.1139/v69-367

    Article  CAS  Google Scholar 

  16. Simonson, J.M., Roy, R.N., Roy, L.N., Johnson, D.A.: The thermodynamics of aqueous borate solutions I. Mixtures of boric acid with sodium or potassium borate and chloride. J. Solution Chem. 16, 791–803 (1987). doi:10.1007/BF00650749

    Article  CAS  Google Scholar 

  17. Yang, J.Z., Song, P.S., Wang, D.B.: Thermodynamic study of aqueous borates III. The standard association constant of the ion pair Li+B(OH) −4 . J. Chem. Thermodyn. 29, 1343–1351 (1997). doi:10.1006/jcht.1997.0245

    Article  CAS  Google Scholar 

  18. Weres, O.: Vapor pressure, speciation, and chemical activities in highly concentrated sodium borate solutions at 277 and 317 °C. J. Solution Chem. 24, 409–432 (1995). doi:10.1007/BF01004476

    Article  CAS  Google Scholar 

  19. Yin, S.T., Yao, Y., Li, B., Tian, H.B., Song, P.S.: Isopiestic studies of aqueous MgB4O7 and MgSO4+ MgB4O7 at 298.15 K and representation with Pitzer’s ion-interaction model. J. Solution Chem. 36, 1745–1761 (2007). doi:10.1007/s10953-007-9211-9

    Article  CAS  Google Scholar 

  20. Kesans, A.D.: The Synthesis of Borates in Aqueous Solution and their Investigation (S.W. Chen, Trans.). Science Press, Beijing (1962) (in Chinese)

    Google Scholar 

  21. Gordon, A.R.: Isopiestic measurements in dilute solutions; the system potassium chloride-sodium chloride at 25 °C at concentrations from 0.03 to 0.10 molal. J. Am. Chem. Soc. 65, 221–224 (1943). doi:10.1021/ja01242a022

    Article  CAS  Google Scholar 

  22. Rard, J.A., Platford, R.F.: Experimental methods: isopiestic. In: Pitzer, K.S. (ed.) Activity Coefficients in Electrolyte Solutions, 2nd edn. CRC Press, Boca Raton (1991), Chap. 5

    Google Scholar 

  23. Rard, J.A.: Solubility determinations by the isopiestic method and application to aqueous lanthanide nitrates at 25 °C. J. Solution Chem. 14, 457–471 (1985). doi:10.1007/BF00646978

    Article  CAS  Google Scholar 

  24. Li, F.-f., Yao, Y.: Isopiestic studies of thermodynamic properties in LiCl–Li2SO4–H2O system at 273.15 K. Chem. Res. Appl. 16, 33–36 (2004)

    CAS  Google Scholar 

  25. Clarke, E.C.W., Glew, D.E.: Evaluation of the thermodynamic functions for aqueous sodium chloride from equilibrium and calorimetric measurements below 154 °C. J. Phys. Chem. Ref. Data 14, 489–515 (1985)

    Article  CAS  Google Scholar 

  26. Zhang, A.Y., Yao, Y., Li, L.J., Song, P.S.: Isopiestic determination of osmotic coefficients and Pitzer model representation for Li2B4O7(aq) at T=298.15 K. J. Chem. Thermodyn. 37, 101–109 (2005). doi:10.1016/j.jct.2004.07.028

    Article  CAS  Google Scholar 

  27. Mohammed, T.Z.M., Karamat, N.: Osmotic coefficient of methanol + LiCl + LiBr, and + LiCH3COO at 25 °C. J. Chem. Eng. Data 43, 215–219 (1998). doi:10.1021/je970193e

    Article  Google Scholar 

  28. Rard, J.A.: Isopiestic determination of the osmotic and activity coefficients of aqueous Lu2(SO4)3 at 25 °C. J. Solution Chem. 19, 525–541 (1990). doi:10.1007/BF00647027

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. College of Chemistry and Chemical Engineering, Linyi Normal University, Linyi, 276005, People’s Republic of China

    Ji-min Yang, Ai-de Sun, Bao-hui Li, Hong-zhi Lu & Qi-ying Xia

  2. Qinghai Institute of Salt Lakes, Chinese Academy of Sciences, Xining, 810008, People’s Republic of China

    Yan Yao

  3. Linyi Normal University, Linyi, 276005, People’s Republic of China

    Run-zhi Zhang

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  1. Ji-min Yang
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Correspondence to Ji-min Yang.

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Yang, Jm., Yao, Y., Zhang, Rz. et al. Osmotic Coefficients of the Li2B4O7+LiCl + H2O System at T=273.15 K. J Solution Chem 38, 429–439 (2009). https://doi.org/10.1007/s10953-009-9386-3

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