AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL

Detalhes bibliográficos
Autor(a) principal: Nascimento,Francis Pereira
Data de Publicação: 2018
Outros Autores: Nascimento Junior,Baraquízio Braga do, Cardoso,Luiz Augusto Martins, Albuquerque,Rodrigo Veiga Tenório de, Oliveira-Neto,Nemesio Matos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Química Nova (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422018000901083
Resumo: A mathematical model is proposed to investigate the kinetics and equilibrium of homogeneous elementary first- and second-order chemical reactions. The dynamics is defined by the Monte Carlo method (MCM), with the Metropolis update, and the Ehrenfest urn model (EUM). MCM is an important step that accesses the kinetic and thermodynamic properties of the system, while the EUM defines the orders of the reactions studied in this work. The main parameters, such as temperature, the activation energy and the steric factor, were taken into account in the calculation of the transition probabilities between the reactants and products. It is thus possible to reproduce the kinetic profiles of the reactions and to evaluate the influence of temperature and the steric factor. Furthermore, it is possible to simulate the behaviour of the system by modifying the activation energy barrier, thus simulating a catalytic process. The effect of the addition of molecules was also investigated, with the system returning to a thermodynamic equilibrium condition after partial consumption of the added reactant, as predicted by Le Chatelier’s principle. All the simulated data are in agreement with the theoretical results present in physical chemistry textbooks.
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spelling AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODELchemical reactionkineticsthermodynamicsMonte Carlo methodEhrenfest urn modelA mathematical model is proposed to investigate the kinetics and equilibrium of homogeneous elementary first- and second-order chemical reactions. The dynamics is defined by the Monte Carlo method (MCM), with the Metropolis update, and the Ehrenfest urn model (EUM). MCM is an important step that accesses the kinetic and thermodynamic properties of the system, while the EUM defines the orders of the reactions studied in this work. The main parameters, such as temperature, the activation energy and the steric factor, were taken into account in the calculation of the transition probabilities between the reactants and products. It is thus possible to reproduce the kinetic profiles of the reactions and to evaluate the influence of temperature and the steric factor. Furthermore, it is possible to simulate the behaviour of the system by modifying the activation energy barrier, thus simulating a catalytic process. The effect of the addition of molecules was also investigated, with the system returning to a thermodynamic equilibrium condition after partial consumption of the added reactant, as predicted by Le Chatelier’s principle. All the simulated data are in agreement with the theoretical results present in physical chemistry textbooks.Sociedade Brasileira de Química2018-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422018000901083Química Nova v.41 n.9 2018reponame:Química Nova (Online)instname:Sociedade Brasileira de Química (SBQ)instacron:SBQ10.21577/0100-4042.20170241info:eu-repo/semantics/openAccessNascimento,Francis PereiraNascimento Junior,Baraquízio Braga doCardoso,Luiz Augusto MartinsAlbuquerque,Rodrigo Veiga Tenório deOliveira-Neto,Nemesio Matoseng2018-10-11T00:00:00Zoai:scielo:S0100-40422018000901083Revistahttps://www.scielo.br/j/qn/ONGhttps://old.scielo.br/oai/scielo-oai.phpquimicanova@sbq.org.br1678-70640100-4042opendoar:2018-10-11T00:00Química Nova (Online) - Sociedade Brasileira de Química (SBQ)false
dc.title.none.fl_str_mv AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
title AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
spellingShingle AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
Nascimento,Francis Pereira
chemical reaction
kinetics
thermodynamics
Monte Carlo method
Ehrenfest urn model
title_short AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
title_full AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
title_fullStr AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
title_full_unstemmed AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
title_sort AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
author Nascimento,Francis Pereira
author_facet Nascimento,Francis Pereira
Nascimento Junior,Baraquízio Braga do
Cardoso,Luiz Augusto Martins
Albuquerque,Rodrigo Veiga Tenório de
Oliveira-Neto,Nemesio Matos
author_role author
author2 Nascimento Junior,Baraquízio Braga do
Cardoso,Luiz Augusto Martins
Albuquerque,Rodrigo Veiga Tenório de
Oliveira-Neto,Nemesio Matos
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Nascimento,Francis Pereira
Nascimento Junior,Baraquízio Braga do
Cardoso,Luiz Augusto Martins
Albuquerque,Rodrigo Veiga Tenório de
Oliveira-Neto,Nemesio Matos
dc.subject.por.fl_str_mv chemical reaction
kinetics
thermodynamics
Monte Carlo method
Ehrenfest urn model
topic chemical reaction
kinetics
thermodynamics
Monte Carlo method
Ehrenfest urn model
description A mathematical model is proposed to investigate the kinetics and equilibrium of homogeneous elementary first- and second-order chemical reactions. The dynamics is defined by the Monte Carlo method (MCM), with the Metropolis update, and the Ehrenfest urn model (EUM). MCM is an important step that accesses the kinetic and thermodynamic properties of the system, while the EUM defines the orders of the reactions studied in this work. The main parameters, such as temperature, the activation energy and the steric factor, were taken into account in the calculation of the transition probabilities between the reactants and products. It is thus possible to reproduce the kinetic profiles of the reactions and to evaluate the influence of temperature and the steric factor. Furthermore, it is possible to simulate the behaviour of the system by modifying the activation energy barrier, thus simulating a catalytic process. The effect of the addition of molecules was also investigated, with the system returning to a thermodynamic equilibrium condition after partial consumption of the added reactant, as predicted by Le Chatelier’s principle. All the simulated data are in agreement with the theoretical results present in physical chemistry textbooks.
publishDate 2018
dc.date.none.fl_str_mv 2018-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422018000901083
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422018000901083
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.21577/0100-4042.20170241
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Química
publisher.none.fl_str_mv Sociedade Brasileira de Química
dc.source.none.fl_str_mv Química Nova v.41 n.9 2018
reponame:Química Nova (Online)
instname:Sociedade Brasileira de Química (SBQ)
instacron:SBQ
instname_str Sociedade Brasileira de Química (SBQ)
instacron_str SBQ
institution SBQ
reponame_str Química Nova (Online)
collection Química Nova (Online)
repository.name.fl_str_mv Química Nova (Online) - Sociedade Brasileira de Química (SBQ)
repository.mail.fl_str_mv quimicanova@sbq.org.br
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