Reversible limit of processes of heat transfer
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 b...
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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
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| Series: | Revista Brasileira de Ensino de Física |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000400006&lng=en&tlng=en |
| _version_ | 1818523859022774272 |
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| author | Jürgen F. Stilck Rafael Mynssem Brum |
| author_facet | Jürgen F. Stilck Rafael Mynssem Brum |
| author_sort | Jürgen F. Stilck |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-11T05:49:52Z |
| format | Article |
| id | doaj.art-a5927d44f3294828bbf7937bebaebcb3 |
| institution | Directory Open Access Journal |
| issn | 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-12-11T05:49:52Z |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-a5927d44f3294828bbf7937bebaebcb32022-12-22T01:18:51ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-912635410.1590/S1806-11172013000400006S1806-11172013000400006Reversible limit of processes of heat transferJürgen F. Stilck0Rafael Mynssem Brum1Universidade Federal FluminenseUniversidade Federal FluminenseWe 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.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000400006&lng=en&tlng=ensecond law of thermodynamicsentropyreversible and irreversible processesheat exchange |
| spellingShingle | Jürgen F. Stilck Rafael Mynssem Brum Reversible limit of processes of heat transfer Revista Brasileira de Ensino de Física second law of thermodynamics entropy reversible and irreversible processes heat exchange |
| title | 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_short | Reversible limit of processes of heat transfer |
| title_sort | reversible limit of processes of heat transfer |
| topic | second law of thermodynamics entropy reversible and irreversible processes heat exchange |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000400006&lng=en&tlng=en |
| work_keys_str_mv | AT jurgenfstilck reversiblelimitofprocessesofheattransfer AT rafaelmynssembrum reversiblelimitofprocessesofheattransfer |