Development of an Analytical Model for the Extraction of Manganese from Marine Nodules
Multivariable analytical models provide a descriptive (albeit approximate) mathematical relationship between a set of independent variables and one or more dependent variables. The current work develops an analytical model that extends a design of experiments for the leaching of manganese from marin...
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doaj-dbc422373a1b44f8b73c8e79423a31012020-11-24T21:21:03ZengMDPI AGMetals2075-47012019-08-019890310.3390/met9080903met9080903Development of an Analytical Model for the Extraction of Manganese from Marine NodulesManuel Saldaña0Norman Toro1Jonathan Castillo2Pía Hernández3Emilio Trigueros4Alessandro Navarra5Departamento de Ingeniería Industrial, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta 1270709, ChileDepartamento de Ingeniería en Metalurgia y Minas, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta 1270709, ChileDepartamento de Ingeniería en Metalurgia, Universidad de Atacama, Copiapó 1531772, ChileDepartamento de Ingeniería Química y Procesos de Minerales, Universidad de Antofagasta, Av. Angamos 601, Antofagasta 1270300, ChileDepartamento de Ingeniería Minera y Civil, Universidad Politécnica de Cartagena, Paseo Alfonso Xlll N°52, Cartagena 30203, SpainDepartment of Mining and Materials Engineering, McGill University, 3610 University Street, Montreal, QC H3A 0C5, CanadaMultivariable analytical models provide a descriptive (albeit approximate) mathematical relationship between a set of independent variables and one or more dependent variables. The current work develops an analytical model that extends a design of experiments for the leaching of manganese from marine nodules, using sulfuric acid (H<sub>2</sub>SO<sub>4</sub>) in the presence of iron-containing tailings, which are both by-products of conventional copper extraction. The experiments are configured to address the effect of time, particle size, acid concentration, Fe<sub>2</sub>O<sub>3</sub>/MnO<sub>2</sub> ratio, stirring speed and temperature, under typical industrial conditions. The recovery of manganese has been modeled using a first order differential equation that accurately fits experimental results, noting that Fe<sub>2</sub>O<sub>3</sub>/MnO<sub>2</sub> and temperature are the most critical independent variables, while the particle size is the least influential (under typical conditions). This study obtains representative fitting parameters, that can be used to explore the incorporation of Mn recovery from marine nodules, as part of the extended value chain of copper sulfide processing.https://www.mdpi.com/2075-4701/9/8/903Manganese extractionmarine nodulesacid leachingdesign of experimentsordinary differential equationsmathematical modelling |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Manuel Saldaña Norman Toro Jonathan Castillo Pía Hernández Emilio Trigueros Alessandro Navarra |
spellingShingle |
Manuel Saldaña Norman Toro Jonathan Castillo Pía Hernández Emilio Trigueros Alessandro Navarra Development of an Analytical Model for the Extraction of Manganese from Marine Nodules Metals Manganese extraction marine nodules acid leaching design of experiments ordinary differential equations mathematical modelling |
author_facet |
Manuel Saldaña Norman Toro Jonathan Castillo Pía Hernández Emilio Trigueros Alessandro Navarra |
author_sort |
Manuel Saldaña |
title |
Development of an Analytical Model for the Extraction of Manganese from Marine Nodules |
title_short |
Development of an Analytical Model for the Extraction of Manganese from Marine Nodules |
title_full |
Development of an Analytical Model for the Extraction of Manganese from Marine Nodules |
title_fullStr |
Development of an Analytical Model for the Extraction of Manganese from Marine Nodules |
title_full_unstemmed |
Development of an Analytical Model for the Extraction of Manganese from Marine Nodules |
title_sort |
development of an analytical model for the extraction of manganese from marine nodules |
publisher |
MDPI AG |
series |
Metals |
issn |
2075-4701 |
publishDate |
2019-08-01 |
description |
Multivariable analytical models provide a descriptive (albeit approximate) mathematical relationship between a set of independent variables and one or more dependent variables. The current work develops an analytical model that extends a design of experiments for the leaching of manganese from marine nodules, using sulfuric acid (H<sub>2</sub>SO<sub>4</sub>) in the presence of iron-containing tailings, which are both by-products of conventional copper extraction. The experiments are configured to address the effect of time, particle size, acid concentration, Fe<sub>2</sub>O<sub>3</sub>/MnO<sub>2</sub> ratio, stirring speed and temperature, under typical industrial conditions. The recovery of manganese has been modeled using a first order differential equation that accurately fits experimental results, noting that Fe<sub>2</sub>O<sub>3</sub>/MnO<sub>2</sub> and temperature are the most critical independent variables, while the particle size is the least influential (under typical conditions). This study obtains representative fitting parameters, that can be used to explore the incorporation of Mn recovery from marine nodules, as part of the extended value chain of copper sulfide processing. |
topic |
Manganese extraction marine nodules acid leaching design of experiments ordinary differential equations mathematical modelling |
url |
https://www.mdpi.com/2075-4701/9/8/903 |
work_keys_str_mv |
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1726001440458014720 |