Systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures

Abstract The main goal of this study was to determine the industrially best reductant for reduction of magnesium oxide to magnesium with wood charcoal and petroleum coke (petcoke) each in molar ratio 1:1 and 1:2 (oxidant:reductant) at high temperatures. In this study, a new and reliable combination...

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Autores principales:	Hamid Zahedi, Nahid Farzi, Nasser Golestani
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Solid State Chemical Kinetics Mathematical Modeling Optimization Theory Correct Kinetic Equation Magnesium Oxide Reduction Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/489f6195c6e84632afa3e22be3a39d0f
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spelling	oai:doaj.org-article:489f6195c6e84632afa3e22be3a39d0f2021-11-21T12:14:53ZSystematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures10.1186/s44147-021-00043-71110-19032536-9512https://doaj.org/article/489f6195c6e84632afa3e22be3a39d0f2021-11-01T00:00:00Zhttps://doi.org/10.1186/s44147-021-00043-7https://doaj.org/toc/1110-1903https://doaj.org/toc/2536-9512Abstract The main goal of this study was to determine the industrially best reductant for reduction of magnesium oxide to magnesium with wood charcoal and petroleum coke (petcoke) each in molar ratio 1:1 and 1:2 (oxidant:reductant) at high temperatures. In this study, a new and reliable combination of mathematical modeling and discrete numerical optimization theory by presenting 18 “mathematical filters” not relying only on statistical quantities of fitting (contrary to many similar researches) was introduced. The purpose of these filters was the determination of correct kinetic equation and therefore, the corresponding rate coefficient from among 18 equations most used at present in the challenging field of solid state chemical kinetics. With assistance of a new and fundamental mathematical function and the obtained values of rate coefficients, the function of rate coefficient in temperature was attained. The activation energy was then calculated as a function of temperature using the general definition of activation energy and the determined function for rate coefficient. The comparison between different reducing agents in the different conditions and with relevant previous study was accomplished to determine the best reducing agent from industry standpoint. Also, the areas under experimental data were calculated numerically and utilized for method validation and comparison. It turned out finally that relying only on fitting quantities in the solid state chemical kinetics can readily lead to wrong conclusions about the correct kinetic equation and about the most suitable reducing agent. It is obvious that the erroneous calculations and wrong decisions in the laboratory scale become significant and paramount in industry and this reveals the significance of rigorous mathematical analysis. Graphical abstractHamid ZahediNahid FarziNasser GolestaniSpringerOpenarticleSolid State Chemical KineticsMathematical ModelingOptimization TheoryCorrect Kinetic EquationMagnesium OxideReductionEngineering (General). Civil engineering (General)TA1-2040ENJournal of Engineering and Applied Science, Vol 68, Iss 1, Pp 1-18 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Solid State Chemical Kinetics Mathematical Modeling Optimization Theory Correct Kinetic Equation Magnesium Oxide Reduction Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Solid State Chemical Kinetics Mathematical Modeling Optimization Theory Correct Kinetic Equation Magnesium Oxide Reduction Engineering (General). Civil engineering (General) TA1-2040 Hamid Zahedi Nahid Farzi Nasser Golestani Systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures
description	Abstract The main goal of this study was to determine the industrially best reductant for reduction of magnesium oxide to magnesium with wood charcoal and petroleum coke (petcoke) each in molar ratio 1:1 and 1:2 (oxidant:reductant) at high temperatures. In this study, a new and reliable combination of mathematical modeling and discrete numerical optimization theory by presenting 18 “mathematical filters” not relying only on statistical quantities of fitting (contrary to many similar researches) was introduced. The purpose of these filters was the determination of correct kinetic equation and therefore, the corresponding rate coefficient from among 18 equations most used at present in the challenging field of solid state chemical kinetics. With assistance of a new and fundamental mathematical function and the obtained values of rate coefficients, the function of rate coefficient in temperature was attained. The activation energy was then calculated as a function of temperature using the general definition of activation energy and the determined function for rate coefficient. The comparison between different reducing agents in the different conditions and with relevant previous study was accomplished to determine the best reducing agent from industry standpoint. Also, the areas under experimental data were calculated numerically and utilized for method validation and comparison. It turned out finally that relying only on fitting quantities in the solid state chemical kinetics can readily lead to wrong conclusions about the correct kinetic equation and about the most suitable reducing agent. It is obvious that the erroneous calculations and wrong decisions in the laboratory scale become significant and paramount in industry and this reveals the significance of rigorous mathematical analysis. Graphical abstract
format	article
author	Hamid Zahedi Nahid Farzi Nasser Golestani
author_facet	Hamid Zahedi Nahid Farzi Nasser Golestani
author_sort	Hamid Zahedi
title	Systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures
title_short	Systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures
title_full	Systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures
title_fullStr	Systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures
title_full_unstemmed	Systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures
title_sort	systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/489f6195c6e84632afa3e22be3a39d0f
work_keys_str_mv	AT hamidzahedi systematickineticstudyofmagnesiumproductionusingmagnesiumoxideandcarbonicmaterialsatdifferenttemperatures AT nahidfarzi systematickineticstudyofmagnesiumproductionusingmagnesiumoxideandcarbonicmaterialsatdifferenttemperatures AT nassergolestani systematickineticstudyofmagnesiumproductionusingmagnesiumoxideandcarbonicmaterialsatdifferenttemperatures
_version_	1718419119740551168

Systematic kinetic study of magnesium production using magnesium oxide and carbonic materials at different temperatures

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