Skip to main content
Log in

Prediction of Partial Molar Enthalpies and Mixing Enthalpies for Sn-Based Binary Alloys by the Wilson Equation

  • Published:
Journal of Solution Chemistry Aims and scope Submit manuscript

Abstract

Expressions of partial molar enthalpies and enthalpies of mixing of binary systems are derived using the Wilson equation, according to basic thermodynamic principles. The partial molar enthalpies and mixing enthalpies of Sn-based binary alloys are calculated based on the Wilson equation’s interaction parameters, which were obtained by the method of nonlinear least-squares. Calculated values are statistically in agreement with experimental data reported in the literature. The results indicate that the method proposed in this work is reliable for predicting thermodynamic properties for Sn-based binary alloys.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

References

  1. Meng, L., Wang, Z., Zhong, Y.W., Chen, K.Y., Guo, Z.C.: Supergravity separation of Pb and Sn from waste printed circuit boards at different temperatures. Int. J. Miner. Metall. Mater. 25, 173–180 (2018)

    Article  CAS  Google Scholar 

  2. Shokri, A., Pahlevani, F., Cole, I., Sanajwalla, V.: Selective thermal transformation of old computer printed circuit boards to Cu-Sn based alloy. J. Environ. Manage. 199, 7–12 (2017)

    Article  CAS  Google Scholar 

  3. Zhao, J.Y., Yang, H.W., Nan, C.B., Yang, B., Liu, D.C., Xu, B.Q.: Kinetics of Pb evaporation from Pb-Sn liquid alloy in vacuum distillation. Vacuum 141, 10–14 (2017)

    Article  CAS  Google Scholar 

  4. Nan, C.B., Xiong, H., Xu, B.Q., Yang, B., Liu, D.C., Wang, H.W.: Measurement and modeling of phase equilibria for Sb–Sn and Bi–Sb–Sn alloys in vacuum distillation. Fluid Phase Equilib. 442, 62–67 (2017)

    Article  CAS  Google Scholar 

  5. Sim, H.-W., Kim, M.G.: Excess volume and excess enthalpy of binary mixtures composed of 1,2-dichloropropane and 1-alkanol (C5–C8). Korean J. Chem. Eng. 33, 271–276 (2016)

    Article  CAS  Google Scholar 

  6. Gow, A.S.: Calculation of vapor–liquid equilibria from infinite dilution excess enthalpy data using the Wilson or NRTL equation. Ind. Eng. Chem. Res. 32, 3150–3161 (1993)

    Article  CAS  Google Scholar 

  7. Wilson, G.M.: Vapor–liquid equilibrium. XI. A new expression for the excess free energy of mixing. J. Am. Chem. Soc. 86, 127–130 (1964)

    Article  CAS  Google Scholar 

  8. Brinkman, N.D., Tao, L.C., Weber, J.H.: The calculation of the parameters for the Wilson equation for a ternary system. Ind. Eng. Chem. Fundam. 13, 156–157 (1974)

    Article  CAS  Google Scholar 

  9. McDougal, R.J., Jasperson, L.V., Wilson, G.M.: Vapor–liquid equilibrium for several compounds relevant to the biofuels industry modeled with the Wilson equation. J. Chem. Eng. Data 59, 1069–1085 (2014)

    Article  CAS  Google Scholar 

  10. Silverman, N., Tassios, D.: Prediction of multicomponent vapor–liquid equilibrium with the wilson equation: effect of the minimization function and of the quality of binary data. Ind. Eng. Chem. Process Des. Dev. 23, 586–589 (1984)

    Article  CAS  Google Scholar 

  11. Ghosh, S.K., Chopra, S.J.: Activity coefficients from the Wilson equation. Ind. Eng. Chem. Process Des. Dev. 14, 304–308 (1975)

    Article  CAS  Google Scholar 

  12. Zarei, H., Bohloor, F., Omidi, A.: Excess molar enthalpies of ethane-1,2-diamine plus primary and secondary alkanols (C1–C4) and correlation with Redlich–Kister, Wilson, NRTL and UNIQUAC models at T = 298K. J. Chem. Thermodyn. 107, 163–169 (2017)

    Article  CAS  Google Scholar 

  13. Predel, B.: Landolt-Bornstein, Group IV: Physical Chemistry. Springer, New York (2006)

    Google Scholar 

  14. Hultgren, K.R., Dessi, P.D., Hawkins, D.T., Gleiser, M., Kelley, K.K.: Selected Values of the Thermodynamic Properties of Binary Alloys. American Society for Metals, Metals Park (1973)

    Google Scholar 

Download references

Acknowledgements

This work has been founded by the Fund of National Natural Science Foundation of China under Grant Nos. 51764031 and U1502271, the Science and Technological Talent Cultivation Plan of Yunnan Province under Grant No. 2017HB009.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to HongWei Yang.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, H., Yang, B., Xu, B. et al. Prediction of Partial Molar Enthalpies and Mixing Enthalpies for Sn-Based Binary Alloys by the Wilson Equation. J Solution Chem 49, 458–465 (2020). https://doi.org/10.1007/s10953-020-00971-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10953-020-00971-7

Keywords

Navigation