Cálculo do volume na equação de van der Waals pelo método de cardano

Detalhes bibliográficos
Autor(a) principal: Lemes,Nelson H. T.
Data de Publicação: 2010
Outros Autores: Oliveira,Jessé M., Braga,João P.
Tipo de documento: Artigo
Idioma: por
Título da fonte: Química Nova (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422010000600020
Resumo: Analytical solutions of a cubic equation with real coefficients are established using the Cardano method. The method is first applied to simple third order equation. Calculation of volume in the van der Waals equation of state is afterwards established. These results are exemplified to calculate the volumes below and above critical temperatures. Analytical and numerical values for the compressibility factor are presented as a function of the pressure. As a final example, coexistence volumes in the liquid-vapor equilibrium are calculated. The Cardano approach is very simple to apply, requiring only elementary operations, indicating an attractive method to be used in teaching elementary thermodynamics.
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spelling Cálculo do volume na equação de van der Waals pelo método de cardanovan der WaalsCardanothermodynamicAnalytical solutions of a cubic equation with real coefficients are established using the Cardano method. The method is first applied to simple third order equation. Calculation of volume in the van der Waals equation of state is afterwards established. These results are exemplified to calculate the volumes below and above critical temperatures. Analytical and numerical values for the compressibility factor are presented as a function of the pressure. As a final example, coexistence volumes in the liquid-vapor equilibrium are calculated. The Cardano approach is very simple to apply, requiring only elementary operations, indicating an attractive method to be used in teaching elementary thermodynamics.Sociedade Brasileira de Química2010-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422010000600020Química Nova v.33 n.6 2010reponame:Química Nova (Online)instname:Sociedade Brasileira de Química (SBQ)instacron:SBQ10.1590/S0100-40422010000600020info:eu-repo/semantics/openAccessLemes,Nelson H. T.Oliveira,Jessé M.Braga,João P.por2010-08-24T00:00:00Zoai:scielo:S0100-40422010000600020Revistahttps://www.scielo.br/j/qn/ONGhttps://old.scielo.br/oai/scielo-oai.phpquimicanova@sbq.org.br1678-70640100-4042opendoar:2010-08-24T00:00Química Nova (Online) - Sociedade Brasileira de Química (SBQ)false
dc.title.none.fl_str_mv Cálculo do volume na equação de van der Waals pelo método de cardano
title Cálculo do volume na equação de van der Waals pelo método de cardano
spellingShingle Cálculo do volume na equação de van der Waals pelo método de cardano
Lemes,Nelson H. T.
van der Waals
Cardano
thermodynamic
title_short Cálculo do volume na equação de van der Waals pelo método de cardano
title_full Cálculo do volume na equação de van der Waals pelo método de cardano
title_fullStr Cálculo do volume na equação de van der Waals pelo método de cardano
title_full_unstemmed Cálculo do volume na equação de van der Waals pelo método de cardano
title_sort Cálculo do volume na equação de van der Waals pelo método de cardano
author Lemes,Nelson H. T.
author_facet Lemes,Nelson H. T.
Oliveira,Jessé M.
Braga,João P.
author_role author
author2 Oliveira,Jessé M.
Braga,João P.
author2_role author
author
dc.contributor.author.fl_str_mv Lemes,Nelson H. T.
Oliveira,Jessé M.
Braga,João P.
dc.subject.por.fl_str_mv van der Waals
Cardano
thermodynamic
topic van der Waals
Cardano
thermodynamic
description Analytical solutions of a cubic equation with real coefficients are established using the Cardano method. The method is first applied to simple third order equation. Calculation of volume in the van der Waals equation of state is afterwards established. These results are exemplified to calculate the volumes below and above critical temperatures. Analytical and numerical values for the compressibility factor are presented as a function of the pressure. As a final example, coexistence volumes in the liquid-vapor equilibrium are calculated. The Cardano approach is very simple to apply, requiring only elementary operations, indicating an attractive method to be used in teaching elementary thermodynamics.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01
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=S0100-40422010000600020
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422010000600020
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv 10.1590/S0100-40422010000600020
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.33 n.6 2010
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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