Reversible limit of processes of heat transfer

Bibliographic Details
Main Author: Stilck,Jürgen F.
Publication Date: 2013
Other Authors: Brum,Rafael Mynssem
Format: Article
Language: eng
Source: Revista Brasileira de Ensino de Física
Download full: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000400006
Summary: We study a process of heat transfer between a body of heat capacity C(T) and a sequence of N heat reservoirs, with temperatures equally spaced between an initial temperature T0 and a final temperature T N. The body and the heat reservoirs are isolated from the rest of the universe, and the body is brought in thermal contact successively with reservoirs of increasing temperature. We determine the change of entropy of the composite thermodynamic system in the total process in which the temperature of the body changes from T0 to T N. We find that for large values of N the total change of entropy of the composite process is proportional to (T N - T0) / N, but eventually a non-monotonic behavior is found at small values of N.
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spelling Reversible limit of processes of heat transfersecond law of thermodynamicsentropyreversible and irreversible processesheat exchangeWe study a process of heat transfer between a body of heat capacity C(T) and a sequence of N heat reservoirs, with temperatures equally spaced between an initial temperature T0 and a final temperature T N. The body and the heat reservoirs are isolated from the rest of the universe, and the body is brought in thermal contact successively with reservoirs of increasing temperature. We determine the change of entropy of the composite thermodynamic system in the total process in which the temperature of the body changes from T0 to T N. We find that for large values of N the total change of entropy of the composite process is proportional to (T N - T0) / N, but eventually a non-monotonic behavior is found at small values of N.Sociedade Brasileira de Física2013-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000400006Revista Brasileira de Ensino de Física v.35 n.4 2013reponame:Revista Brasileira de Ensino de Físicainstname:SBFinstacron:SBF10.1590/S1806-11172013000400006info:eu-repo/semantics/openAccessStilck,Jürgen F.Brum,Rafael Mynssemeng2020-04-25T15:06:22Zhttp://www.scielo.br/oai/scielo-oai.php1806-11171806-9126opendoar:null2020-04-26 01:07:38.766Revista Brasileira de Ensino de Física - SBFtrue
dc.title.none.fl_str_mv Reversible limit of processes of heat transfer
title Reversible limit of processes of heat transfer
spellingShingle Reversible limit of processes of heat transfer
Stilck,Jürgen F.
second law of thermodynamics
entropy
reversible and irreversible processes
heat exchange
title_short Reversible limit of processes of heat transfer
title_full Reversible limit of processes of heat transfer
title_fullStr Reversible limit of processes of heat transfer
title_full_unstemmed Reversible limit of processes of heat transfer
title_sort Reversible limit of processes of heat transfer
author Stilck,Jürgen F.
author_facet Stilck,Jürgen F.
Brum,Rafael Mynssem
author_role author
author2 Brum,Rafael Mynssem
author2_role author
dc.contributor.author.fl_str_mv Stilck,Jürgen F.
Brum,Rafael Mynssem
dc.subject.por.fl_str_mv second law of thermodynamics
entropy
reversible and irreversible processes
heat exchange
topic second law of thermodynamics
entropy
reversible and irreversible processes
heat exchange
dc.description.none.fl_txt_mv We study a process of heat transfer between a body of heat capacity C(T) and a sequence of N heat reservoirs, with temperatures equally spaced between an initial temperature T0 and a final temperature T N. The body and the heat reservoirs are isolated from the rest of the universe, and the body is brought in thermal contact successively with reservoirs of increasing temperature. We determine the change of entropy of the composite thermodynamic system in the total process in which the temperature of the body changes from T0 to T N. We find that for large values of N the total change of entropy of the composite process is proportional to (T N - T0) / N, but eventually a non-monotonic behavior is found at small values of N.
description We study a process of heat transfer between a body of heat capacity C(T) and a sequence of N heat reservoirs, with temperatures equally spaced between an initial temperature T0 and a final temperature T N. The body and the heat reservoirs are isolated from the rest of the universe, and the body is brought in thermal contact successively with reservoirs of increasing temperature. We determine the change of entropy of the composite thermodynamic system in the total process in which the temperature of the body changes from T0 to T N. We find that for large values of N the total change of entropy of the composite process is proportional to (T N - T0) / N, but eventually a non-monotonic behavior is found at small values of N.
publishDate 2013
dc.date.none.fl_str_mv 2013-12-01
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://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000400006
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000400006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11172013000400006
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 Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.35 n.4 2013
reponame:Revista Brasileira de Ensino de Física
instname:SBF
instacron:SBF
reponame_str Revista Brasileira de Ensino de Física
collection Revista Brasileira de Ensino de Física
instname_str SBF
instacron_str SBF
institution SBF
repository.name.fl_str_mv Revista Brasileira de Ensino de Física - SBF
repository.mail.fl_str_mv
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