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ArticleName Calculation of extraction separation in full counter-current cascade with distribution constants by using Excel
DOI 10.17580/tsm.2018.03.08
ArticleAuthor Voldman G. M., Apanasenko V. V.

G. M. Voldman, Independent Expert, Moscow, Russia, e-mail:


JSC “Giredmet”, Moscow, Russia:
V. V. Apanasenko, Head of Laboratory of Technology of Distribution of Rare-Earth Metals and Compounds


Liquid-liquid extraction is widely used in hydrometallurgy of non-ferrous, rare and radioactive metals. The most difficult problem, solved by this method, is the separation of similar elements, in which, as a rule, it is necessary to obtain one or even both elements in pure form and with high extraction. In most cases, this is achieved only in a complete counter-current process, which is realized in an extractive cascade which consists of two parts — the extraction one where obtaining in pure form in the aqueous phase (raffinate) is worse than with the extractable component (or group of components) and the washing one where obtaining in pure form is better than with the extractable component (or group of components) in the organic phase (extract). Since the organic phase from the extraction part of the cascade enters the washing part, whilst the aqueous phase from the washing part, together with the initial solution, goes to the extraction solution, when determining the required extraction conditions (i.e. the necessary ratios of extractant and washing solution to the feedstock stream, numbers of steps of the cascade’s extraction and washing parts, compositions of the resulting products — raffinate and extract), a complete counter-current cascade can be calculated only as a whole unit. As a result, the calculation is associated with a large amount of computation and takes a lot of time even with modern computing facilities. An effective way to automate calculations is to create templates in Excel table processor that do not require re-calculation when switching to another extraction system, but only to enter new initial data into the corresponding cells. This article is devoted to the development of such a template for a complete counter-current process with constant coefficients of distribution of components in both parts of the cascade.

keywords Liquid-liquid extraction, separation, complete counter-current process, extraction cascade, calculation, washing solution, extract, raffinate, Excel

1. Zelikman A. N., Meerson G. A. Metallurgy of rare metals. Moscow : Metallurgiya, 1973. 608 p.
2. Yagodin G. A., Sinegribova O. A., Chekmarev A. M. Technology of rare metals in atomic technology. Moscow : Atomizdat, 1974. 344 p.
3. Rare and scattered elements. Chemistry and technology. In 3 volumes. Ed.: S. S. Korovin. Moscow : MISiS. 1996. Vol. 1. 376 p; 1999. Vol. 2. 461 p.; 2003. Vol. 3. 440 p.
4. Voldman G. M., Zelikman A. N. Theory of metallurgical processes. Forth edition, revised and enlarged. Moscow : Intermet Engineering, 2003. 464 p.
5. Gupta С. К., Krishnamurthy N. Extractive metallurgy of rare earths. Boca Raton ; London; New York ; Washington : CRC Press, 2005. 522 p.
6. Kasikov A. G. Application of the liquid extraction in new hydrometallurgical processes of copper-nickel raw materials processing at the Kola Mining and Metallurgical Company. Tsvetnye metally. 2012. No. 7. pp. 29–35.
7. Regel-Rosocka М., Alguacil F. J. Recent trends in metals extraction. Revista de Metalurgia. 2013. Vol. 49, No. 4. pp. 292–316.
8. Wilson A. M., Bailey P. J., Tasker P. A., Turkington J. R., Grant R. A., Love J. B. Solvent extraction: the coordination chemistry behind extractive metallurgy. Chemical society reviews. 2014. Vol. 43, No. 1. pp. 123–134.
9. Feng Xie, Ting An Zhang, Dreisinger D., Doyle F. A critical review on solvent extraction of rare earths from aqueous solutions. Mineral Engineering. 2014. Vol. 56. pp. 10–28.
10. Bukin V. I., Zimina G. V.. Nikolaeva I. I., Tauk M. V. Separation of rareearth metals by liquid extraction. Tsvetnye metally. 2015. No. 2. pp. 64-70.
11. Zimina G. V., Nikolaeva I. I., Tauk M. V., Tsygankova M. V. Extraction schemes of rare-earth metals separation. Tsvetnye metally. 2015. No. 4. pp. 23–27. DOI: 10.17580/tsm.2015.04.04
12. Korpusov G. V. Rare-earth elements. Chemistry of long-lived fragment elements. Moscow: Atomizdat, 1970. pp. 111–179.
13. Voldman G. M. Basis of extraction and ion-exchange processes of hydrometallurgy. Moscow: Metallurgiya, 1982. p. 305.
14. Savelev N. I. Balance calculations of chemical-technological processes. Cheboksary : Izdatelstvo Chuvashskogo universiteta, 2014. 136 p.
15. Apanasenko V. V., Voldman G. M. Calculation of material balances of technological processes using electronic tables Excel. Tsvetnye metally. 2010. No. 9. pp. 59–66.
16. Gasanov A. A., Semenov A. A., Apanasenko V. V., Yurasova O. V. Calculation of complete counter-current extraction cascade with exchange washing using Excel. Tsvetnye metally. 2016. No. 5. pp. 44–49. DOI: 10.17580/tsm.2016.05.07

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