Abstract
The present study introduces a new approach to understand the copper dissolution rate and to find an adapted mathematical statement for particle shrinkage rate in a batch bioleaching system. Four size classes of a chalcopyrite concentrate, namely [D1 : (−54 + 44)μm, D2 : (−44 + 38)μm, D3 : (−38 + 25)μm and D4 : (−25)μm], were used in the batch bioleaching tests by applying a mixed culture of moderately thermophilic microorganisms. The pulp density and temperature were 8 (%w/v) and 50 °C, respectively. Findings delineated that the bioleaching time can be divided into two specific time intervals: first, the surface reactions were the prevailing controlling step; second, the prevailing mechanism was diffusion through the product layer, whereas the overall rate of the process may be related to both through a Q factor using a mixed model. A mathematical model was developed based on particle size distribution (PSD) and a kinetic model. Experimental validation of the mixed model was accomplished by the representative sample with d80 = 54 microns. Results showed that the PSD of the specific sample was in good agreement with Rosin–Rammler function. Besides, the simulation result of the conversion fraction had the best conformity with the experimental data (with a maximum error of approximately 7%). This paper should be considered as an initial part of a larger, global model for chalcopyrite concentrate bioleaching.
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References
Ranjbar M, Fazaelipour MH, Schaffie M, Manafi Z, Ranjbar Hamghavandi M (2017) Kinetic Analysis of Copper Sulfide (Chalcopyrite) Dissolution by Moderately Thermophilic Bacteria. Miner Process Extr Metall Rev 38:292–297
Vilcaez J et al (2009) Effect of pH reduction and ferric ion addition on the leaching of chalcopyrite at thermophilic temperatures. Hydrometallurgy 96:62–71
Trupti D, Subbanna A, Gautam RC (1999) Factors affecting bioleaching kinetics of sulfide ores using acidophilic micro-organisms. Biometal (12), 1-10
Dreisinger D, Abed N (2002) A fundamental study of the reductive leaching of chalcopyrite using metallic iron part I: kinetic analysis. Hydrometallurgy 66:37–57
Scott MB, Sutton DC, Watling HR, Franzmann PD (2003) Comparative leaching of chalcopyrite by selected acidophilic bacteria and Archaea. Geomicrobiol J 20(3):215–230
Antonijevic MM, Bogdanovic GD (2004) Investigation of the leaching of chalcopyritic ore in acidic solutions. Hydrometallurgy 73(3–4):245–256
Hiroyoshi N, Kuroiwa S, Miki H, Tsunekawa M, Hirajima T (2004) Synergistic effect of cupric and ferrous ions on active-passive behavior in anodic dissolution of chalcopyrite in sulfuric acid solutions. Hydrometallurgy 74(1–2):103–116
Veloso TC, Peixoto JJM, Pereira MS, Leao VA (2016) Kinetics of chalcopyrite leaching in either ferric sulphate or cupric sulphate media in the presence of NaCl. Int J Miner Process 148:147–154
Haghshenas F, Keshavarz Alamdari D, Bonakdarpour E, Darvishi B, Nasernejad D (2009) B., 2009. Kinetics of sphalerite bioleaching by Acidithiobacillus ferrooxidans. Hydrometallurgy 99:202–208
Petersen J (2010) Modelling of bioleach processes: Connection between science and engineering. Hydrometallurgy 104(2010):404–409
Debernardi G, Gentina JC, Albistur P, Slanzi G (2013) Evaluation of processing options to avoid the passivation of chalcopyrite. Int J Miner Process 125(2013):1–4
Crundwell FK (2001) Modelling, simulation and optimization of bacterial leaching reactors. Biotechnol Bioeng 71:255–265
Brochot S, Durance MV, Villeneuve J, d’Hugues P, Mugabi M (2004) Modelling of the bioleaching of sulphide ores: application for the simulation of the bioleaching/gravity section of the Kassese Cobalt Company Ltd process plant. Miner Eng 17:253–260
Crundwell FK (2005) The leaching number: Its definition and use in determining the performance of leaching reactors and autoclaves. Miner Eng 18:1315–1324
Hansford GS, Chapman JT (1992) Batch and continuous bio-oxidation kinetics of a refractory gold-bearing pyrite/arsenopyrite concentrate. Miner Eng 5:597–612
Li HM, Ke JJ (2001) Technical note: influence of Cu2+ and Mg2+ on the growth and activity of Ni2+ adapted Thiobacillus ferrooxidans. Miner Eng 14:113–116
Ahmadi A, Schaffie EM, Petersen J, Schippers A, Ranjbar M (2011) Conventional and electrochemical bioleaching of chalcopyrite concentrates by moderately thermophilic bacteria at high pulp density. Hydrometallurgy 106:84–92
Dong YB, Lin H, Zhou S, Xu X, Zhang Y (2013) Effects of quartz addition on chalcopyrite bioleaching in shaking flasks. Miner Eng 46-47):177–179
Wang J, Gan X, Zhao H, Hu M, Li K, Qin W, Qiu G (2016) Dissolution and passivation mechanisms of chalcopyrite during bioleaching: DFT calculation, XPS and electrochemistry analysis. Miner Eng 98:264–278
Levenspiel O (1998) Fluid-particle reactions: kinetics, Chemical Reaction Engineering, 3rd edition: 566–588
Gbor PK, Jia CQ (2004) Critical evaluation of coupling particle size distribution with the shrinking core model. Chem Eng Sci 59:1979–1987
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This work was financially supported by the National Iranian Copper Industries Company (NICICo) of Iran.
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Ranjbar, M., Ranjbar Hamghavandi, M., Fazaelipoor, M.H. et al. Development of a Kinetic Model of the Bacterial Dissolution of Copper Concentrate. Mining, Metallurgy & Exploration 37, 345–353 (2020). https://doi.org/10.1007/s42461-019-00114-7
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DOI: https://doi.org/10.1007/s42461-019-00114-7