The Correlation of Activity Coefficients of Ionic Species of Aqueous Electrolytes Using a New Model
-
Ali Akbar Amooey
Abstract
This study proposed a new model based on the solvation phenomena. The ionic activity coefficients of individual ions of some 1:1 and 1:2 salts were correlated successfully. Comparison was made between the results of the present model and those of Khoshkbarchi–Vera (KV), Pitzer, and Lin–Lee models. The average relative errors for cation and anion were 3.03, 3.53, 3.45 and 1.24, 1.14, 1.38, respectively, in Lin–Lee, KV, Pitzer models, whereas they are 1.81 and 0.66 in the proposed model.These results show that the proposed model improved the correlation of the individual ionic activity coefficients. Contrary to arguments found in the literature, it is also demonstrated that the short-range solvation contribution is a linear function of ionic strength.
References
1. Eisenman G. Glass electrolytes for hydrogen and other cations. New York: Marcel Dekker, 1967.Search in Google Scholar
2. Debye D. Huckel E. The theory of electrolytes. I. Lowering of freezing point and related phenomena. Phys Zeitscher 1923;42:185–305.Search in Google Scholar
3. Pitzer KS. Thermodynamics of electrolytes. I. Theoretical basis and general equations. J Phys Chem 1973;77:268–77.10.1021/j100621a026Search in Google Scholar
4. Pitzer KS. Mayorga G. Thermodynamics of electrolytes. II. Activity and osmotic coefficients for strong electrolytes with one or both ions univalent. J Phys Chem 1973;77:2300–07.10.1021/j100638a009Search in Google Scholar
5. Bromley LA. Thermodynamic properties of strong electrolytes in aqueous solutions. AIChE J 1973;19:313–20.10.1002/aic.690190216Search in Google Scholar
6. Pazuki GR. Correlation and prediction of osmotic coefficient and water activity of aqueous electrolyte solutions by a two-ionic parameter model. J Chem Thermodyn 2005;37:667–70.10.1016/j.jct.2004.11.006Search in Google Scholar
7. Ferse A. Estimation of activity coefficients of ionic species of aqueous strong electrolytes within the extended Debye–Hückel concentration range. J Solid State Electrochem 2011;15:2177–84.10.1007/s10008-011-1530-5Search in Google Scholar
8. Cruz JL, Renon H. A new thermodynamic representation of binary electrolyte solutions nonideality in the whole range of concentrations. AIChE J 1978;24:817–29.10.1002/aic.690240508Search in Google Scholar
9. Chen CC, Evans LB. A local composition model for the excess Gibbs energy of aqueous electrolyte systems. AIChE J 1986;32:444–54.10.1002/aic.690320311Search in Google Scholar
10. Zhao E, Yu M, Sauve RE, Khoshkbarchi MK. Extension of the Wilson model to electrolyte solutions. Fluid Phase Equilib 2000;173:161–75.10.1016/S0378-3812(00)00393-9Search in Google Scholar
11. Sadeghi R. New local composition model for electrolyte solutions. Fluid Phase Equilib 2005;231:53–60.10.1016/j.fluid.2004.12.014Search in Google Scholar
12. Xu X, Macedo EA. New modified wilson model for electrolyte solutions. Ind Eng Eng Chem Res 2003;42:5702–07.10.1021/ie030514hSearch in Google Scholar
13. Harvey AH, Prausnitz JM. Thermodynamics of high-pressure aqueous systems containing gases and salts. AIChE J 1989;35:635–44.10.1002/aic.690350413Search in Google Scholar
14. Taghikhani V, Vera JH. Application of the K-MSA to the Aqueous Electrolyte Solutions. Ind Eng Chem Res 2000;39:759–66.10.1021/ie9903184Search in Google Scholar
15. Lin CL, Lee LS. A two-ionic-parameter approach for ion activity coefficients of aqueous electrolyte solutions. Fluid Phase Equilib 2003;205:69–88.10.1016/S0378-3812(02)00275-3Search in Google Scholar
16. Pazuki GR. Correlation and prediction of osmotic coefficient and water activity of aqueous electrolyte solutions by a two-ionic parameter model. J Chem Thermodyn 2005;37:667–70.10.1016/j.jct.2004.11.006Search in Google Scholar
17. Guggenheim EA. Thermodynamics, 2nd ed. New York: Interscience Publisher, 1950.Search in Google Scholar
18. Pitzer KS. Activity coefficients in electrolyte solutions, 2nd ed. Boca Raton, FL: CRC Press, 1991.Search in Google Scholar
19. Lin HY, Lee LS. Estimations of activity coefficients of constituent ions in aqueous electrolyte solutions with the two-ionic-parameter approach. Fluid Phase Equilib 2005;237:1–5.10.1016/j.fluid.2005.08.005Search in Google Scholar
20. Khoskbarchi MK, Vra J. Measurement and correlation of ion activity in aqueous single electrolyte solutions. AIChE J 1996;42:249–58.10.1002/aic.690420121Search in Google Scholar
21. Rodil E, Persson K, Vera JH, Wilczek-Vera G. Determination of the activity of H+ ions within and beyond the pH meter range. AIChE J 2001;47:2807–2818.10.1002/aic.690471218Search in Google Scholar
22. Taghikhani V, Modarress H, Vera JH. Individual anionic activity coefficients in aqueous electrolyte solutions of LiCl and LiBr. Fluid Phase Equilib 1999;166 67–77.10.1016/S0378-3812(99)00291-5Search in Google Scholar
23. Taghikhani V, Modarress V, Vera JH. Measurement and Correlation of the Individual Ionic Activity Coefficients of Aqueous Electrolyte Solutions of KF, NaF and KBr. Can J Chem Eng 2000;78:175–81.10.1002/cjce.5450780123Search in Google Scholar
24. Rodial E, Vera JH. The activity of ions: analysis of the theory and data for aqueous solutions of MgBr2, CaBr2 and BaBr2 at 298.2 K. Fluid Phase Equilib 2003;205:115–32.Search in Google Scholar
25. Rodial E, Vera JH. Individual activity coefficients of chloride ions in aqueous solutions of MgCl2, CaCl2 and BaCl2 at 298.2 K. Fluid Phase Equilib 2001;188:15–27.Search in Google Scholar
©2013 by Walter de Gruyter Berlin / Boston
Articles in the same Issue
- Masthead
- Masthead
- Ionic Liquids as Green Solvents for the Extraction of Endosulfan from Aqueous Solution: A Quantum Chemical Approach
- Neuro-Fuzzy-Based Control for Parallel Cascade Control
- Modelling the Heat and Mass Transfer during Hot Pressing of Medium Density Fibreboard
- Drying of Apple Slices in Combined Heat and Power (CHP) Dryer: Comparison of Mathematical Models and Neural Networks
- First Principle Modeling and Neural Network–Based Empirical Modeling with Experimental Validation of Binary Distillation Column
- The Correlation of Activity Coefficients of Ionic Species of Aqueous Electrolytes Using a New Model
Articles in the same Issue
- Masthead
- Masthead
- Ionic Liquids as Green Solvents for the Extraction of Endosulfan from Aqueous Solution: A Quantum Chemical Approach
- Neuro-Fuzzy-Based Control for Parallel Cascade Control
- Modelling the Heat and Mass Transfer during Hot Pressing of Medium Density Fibreboard
- Drying of Apple Slices in Combined Heat and Power (CHP) Dryer: Comparison of Mathematical Models and Neural Networks
- First Principle Modeling and Neural Network–Based Empirical Modeling with Experimental Validation of Binary Distillation Column
- The Correlation of Activity Coefficients of Ionic Species of Aqueous Electrolytes Using a New Model
