Abstract
In the framework of a research aimed at estimating the performance and lifetime of porous filters filled with marble powder and used to neutralize acid waters, we propose a mathematical model for determining the calcium carbonate reaction kinetics from some experimental data. In particular we show how to determine the order of the reaction and the reaction rate when calcium carbonate is immersed in a HCl solution. These parameters are evaluated by means of a fitting procedure based on least square methods. The experiments are performed using CaCO3 in the form of a slab and powder and measuring (by means of BET analysis) the specific reaction surface.
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Starnes L.B., Gasper D.C.: Effects of surface mining on aquatic resources in North America. Fisheries 20, 20–23 (1995)
Arnekleiv J.V., Storest L.: Downstream effects of mine drainage on benthos and fish in a Norwegian river: a comparison of the situation before and after river rehabilitation. J. Geochem. Explor. 52, 35–43 (1995)
Wiener J.G., Giesy J.P.: Concentrations of Cd, Cu, Mn, Pb, and Zn in fishes in a highly organic softwater pond. J. Fish. Res. Board Can. 36, 270–279 (1979)
Norey C.G., Brown M.W., Cryer A., Kay J.: A comparison of the accumulation, tissue distribution and secretion of cadmium in different species of freshwater fish. Comp. Biochem. Physiol. 96, 181–184 (1990)
Suresh A., Sivaramakrishna B., Radhakrishnaiah K.: Patterns of cadmium accumulation in the organs of fry and fingerlings of freshwater fish Cyprinus carpio following cadmium exposure. Chemosphere 26, 945–953 (1993)
Hedin R.J., Watzlaf G.R., Nairn R.W.: Passive treatment of coal mine drainage with limestone. J. Environ. Qual. 23, 1338–1345 (1994)
P.L. Sibrell, B.J. Watten, Evaluation of sludge produced by limestone neutralization of AMD at the Friendship Hill National Historic Site, in Proceedings of the 20th Annual Meeting American Society for Mining and Reclamation, Billings, Montana, (2003), pp. 1151–1169
Masuda N., Hashimoto K., Asano H., Matsushima E., Yamaguchi S.: Test results of a newly proposed neutralization process to reduce and utilize the sludge. Miner. Eng. 21, 310–316 (2008)
Alcolea A., Vázquez M., Caparrós A., Ibarra I., García C., Linares R., Rodríguez R.: Heavy metal removal of intermittent acid mine drainage with an open limestone channel. Miner. Eng. 26, 86–98 (2012)
Pepe Herrera S., Uchiyama H., Igarashi T., Asakura K., Ochi Y., Ishizuka F., Kawada S.: Acid mine drainage treatment through a two-step neutralization ferrite-formation process in northern Japan: physical and chemical characterization of the sludge. Miner. Eng. 20, 1309–1314 (2007)
Barton P., Vatanatham T.: Kinetics of limestone neutralization of acid waters. Environ. Sci. Technol. 10(3), 262–266 (1976)
Nogami H., Nagai T.: Studies on powdered preparations. VII. Acid neutralizing velocity of antacids. Chem. Pharm. Bull. 10(8), 728–740 (1962)
Notari R.E., Sokoloski T.D.: Kinetics of calcium carbonate neutralization. J. Pharm. Sci. 54(10), 1500–1504 (1965)
Brunauer S., Emmett P.H., Teller E.: Adsorption of gases in multimolecular layers. J. Am. Chem. Soc. 60, 309–319 (1938)
Brunauer S.: Physical Adsorption. Princeton University Press, Princeton (1945)
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Fusi, L., Monti, A. & Primicerio, M. Determining calcium carbonate neutralization kinetics from experimental laboratory data. J Math Chem 50, 2492–2511 (2012). https://doi.org/10.1007/s10910-012-0045-3
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DOI: https://doi.org/10.1007/s10910-012-0045-3