AN APPROACH TO THE KINETICS AND THERMODYNAMICS OF ELEMENTARY CHEMICAL REACTIONS USING A STOCHASTIC MODEL
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , , |
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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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 |
_version_ |
1750318119257112576 |