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ArticleName Mathematical modelling and optimization of aluminium hydroxychloride obtaining process
DOI 10.17580/tsm.2017.03.09
ArticleAuthor Balmaev B. G., Tuzhilin A. S., Kirov S. S., Shebalkova A. Yu.

A. A. Baikov Institute of Metallurgy and Material Science RAS, Moscow, Russia:

B. G. Balmaev, Leading Researcher, Laboratory of Physical Chemistry and Aluminum Technology, e-mail:
A. S. Tuzhilin, Acting Leading Researcher, Laboratory of Physical Chemistry and Aluminum Technology, e-mail:
A. Yu. Shebalkova, Engineer of Laboratory of Physical Chemistry and Aluminum Technology


National University of Science and Technology “MISiS”, Moscow, Russia:

S. S. Kirov, Assistant Professor, Chair of Non-ferrous Metals and Gold, e-mail:


This paper studied the process of interaction between the aluminum hydroxide and hydrochloric acid using probabilistic-determinative experiment planning. Probabilistic-determinative method of experiment planning based on a Latin square mean and Protodyakonov`s equation, takes into account the physical meaning of the dissolution process in private dependencies and adequately predict the process outside of the arguments measure. We investigated the effect of temperature and leaching duration, excess of aluminum hydroxide to stoichiometric formation of aluminum hydroxychloride Al(OH)Cl2. Experiments were performed in ampoule autoclaves. Stirring was performed by rotating the digesters themselves in a vertical plane. As a result of the approximation of the experimental data, we calculated the partial dependence of the atomic ratio of aluminum to chlorine in aluminum hydroxychloride at various factors. The greatest impact on the process of aluminium chlorohydrate production has a temperature of the process. Thus, at a temperature of 160 оC we obtained a mixture of aluminum chloride and aluminum hydroxychloride, and at 180 оC we obtained a product without aluminum chloride with atomic ratio of aluminum to chlorine of 0.5. By increasing the duration of the process from 3 to 5 hours, the atomic ratio of aluminum to chlorine varies from 0.41 to 0.5. The generalizing dependence for production process of aluminum hydroxychloride on the studied factors was determined by combining partial dependencies in Protodjakonov`s equation. To check the adequacy of given dependence, there was used a nonlinear coefficient of multiple correlation and its significance. The resulting mathematical model was used for optimization and forecasting process. Changing the initial conditions of aluminum hydroxide leaching process with hydrochloric acid according to the model, it is possible to predict the composition of obtained product in the field of values, where the experimental verification is non-value-added. Under optimal conditions, the interaction of aluminum hydroxide with hydrochloric acid in one step obtained low-basicity aluminium chlorohydrate (Al(OH)Cl2) with atomic ratio Al:Cl = 0.504.
This work was carried out with the financial support of the Ministry of Education and Science of the Russian Federation within the subsidiary agreement on 02 November 2015, No. 14.581.21.0019 (unique identifier: RFMEFI58115X0019).

keywords Aluminum hydroxide, aluminum complexes, basicity index, aluminum hydroxychloride, Protodjakonov`s equation, individual dependence, mathematical model, adequacy model, dissolution parameters

1. Hendricks D. Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological. Boca Raton (USA): CRC Press, Taylor and Francis Group, 2010. 927 p.
2. Angel B. M., Apte S. C., Batley G. E., Golding L. A. Geochemical controls on aluminium concentrations in coastal waters. Environmental Chemistry 2015. Vol. 13, No. 1. pp. 111–118. DOI: 10.1071/EN15029
3. Hui Xu, Ruyuan Jiao, Feng Xiao, Dong Sheng Wang. Relative importance of hydrolyzed Al species (Ala, Alb, Alc) on residual Al and effects of nanoparticles (Fe-surface modified TiO2 and Al2O3) on coagulation process. Colloids and Surfaces A: Physicochemical and Engineering Aspects. 2014. No. 446. pp. 139–150.
4. Singhal A., Keefer K. D. A study of aluminum speciation in aluminum chloride solutions by small angle x-ray scattering and 27A1 NMR. Journal of Material Resources. 1994. Vol. 9, No. 8. pp. 1973–1983.
5. Sarpola A., Hietapelto V., Jalonen J., Jokela J., Laitinen R. S. Identification of the hydrolysis products of AlCl3.6H2O by electrospray ionization mass spectrometry. Journal of Mass Spectrometry. 2004. Vol. 39, No. 4. pp. 423–430.
6. Cvijovi M., Kilibard V., Jeliki-Stankov M., Lazarevi I., Jakovljevi I., Joksovi L., urevi P. ESI-MS study of speciation in hydrolyzed aluminum chloride solutions. Journal of the Brazilian Chemical Society. 2012. Vol. 23, No. 6. pp. 1087–1097.
7. Zhao Z., Liu H., Qu J. Effect of pH on the aluminum salts hydrolysis during coagulation process: Formation and decomposition of polymeric aluminum species. Journal of Colloid Interface Science. 2009. Vol. 330, No. 1. pp. 105–112.
8. Novakov I. A., Radchenko F. S. Nanosized aluminoxane particles — precursors of organic-inorganic hybride polymeric compositions. Izvestiya VolgGTU. Khimiya i tekhnologiya elementoorganicheskikh monomerov i polimernykh materialov. 2013. Vol. 10, No. 4. pp. 107–122.
9. Xiao F., Zhang B., Lee Ch. Effects of low temperature on aluminium (III) hydrolysis: Theoretical and experimental studies. Journal of Environmental Sciences. 2008. Vol. 20, No. 8. pp. 907–914.
10. Sarpola A. T., Hietapelto V. K., Jalonen J. E., Jokela J., Rämö J. H. Comparison of hydrolysis products of AlCl3·6H2O in different concentrations by electrospray ionization time of flight mass spectrometer (ESI TOF MS). International Journal of Environmental Analytical Chemistry. 2006. Vol. 86, No. 13. pp. 1007–1018.
11. Wesolowski D. J., Palmer D. A. Aluminum Speciation and Equilibria in Aqueous Solutions: V. Gibbsite Solubility at 50 oC and pH 3–9 in 0.1 Molal NaCl Solutions (A General Model for Aluminum Speciation; Analytical Methods). Geochimica et Cosmochimica Acta. 1994. Vol. 58. pp. 2947–2969.
12. Shuchismita D. Synthesis and Application of γ-Alumina Nanopowders. A Dissertation: Rourkela, India: Academic Autonomy National Institute of Technology, 2014. 17 p.
13. Ivanov V. V., Kirik S. D., Shubin A. А., Blokhina I. A., Denisov V. M., Irtugo L. А. Thermolysis of acidic aluminum chloride solution and its products. Ceramics International. 2013. Vol. 39, No. 4. pp. 3843–3848.
14. Zapolskiy A. K., Baran A. A. Coagulants and flocculants in water purification processes. Leningrad : Khimiya, 1987. 208 p.
15. Tuzhilin A. S., Layner Yu. A., Surova L. M. Synthesis and research of various aluminium hydrochloride forms produced from aluminium containing wastes. Khimicheskaya tekhnologiya. 2006. No. 9. pp. 2–6.
16. Petrosyants S. P., Buslaev Yu. A. Complexing of aluminium in sloutions. Zhurnal neorganicheskoy khimii. 1999. Vol. 44, No. 11. pp. 1766–1776.
17. Tuzhilin A. S., Layner Yu. A., Surova L. M. Physicochemical properties of aluminum hydroxychloride of various base strength. Izvestiya vysshikh uchebnykh zavedeniy. Tsvetnaya metallurgiya. 2007. No. 2. pp. 18–23.
18. Vorobev I. B., Nikolaev I. V., Kirov S. S., Zubtsova E. A. Determination of the conditions of crystallization of basic aluminum hydroxide phases in aluminate solution carbonization. Izvestiya vysshih uchebnykh zavedeniy. Tsvetnaya metallurgiya. 2006. No. 6. pp. 17–21.
19. Malyshev V. P. Probability-determined image. Karaganda : Gylym, 1994. 370 p.
20. Protodyakonov M. M., Teder R. I. Method of rational planning of experiment. Moscow : Nauka, 1970. 74 p.

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