Equilibrium relationships for non-equilibrium chemical dependencies

It is shown that equilibrium constants determine the time-dependent behavior of particular ratios of concentrations for any system of reversible first-order reactions. Indeed, some special ratios actually coincide with the equilibrium constant at any moment in time. This is established for batch rea...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Chemical engineering science 2011, Vol.66 (1), p.111-114
Hauptverfasser: Yablonsky, G.S., Constales, D., Marin, G.B.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 114
container_issue 1
container_start_page 111
container_title Chemical engineering science
container_volume 66
creator Yablonsky, G.S.
Constales, D.
Marin, G.B.
description It is shown that equilibrium constants determine the time-dependent behavior of particular ratios of concentrations for any system of reversible first-order reactions. Indeed, some special ratios actually coincide with the equilibrium constant at any moment in time. This is established for batch reactors, and similar relations hold for steady-state plug-flow reactors, replacing astronomic time by residence time. Such relationships can be termed time invariants of chemical kinetics.
doi_str_mv 10.1016/j.ces.2010.10.014
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_849476851</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0009250910006007</els_id><sourcerecordid>849476851</sourcerecordid><originalsourceid>FETCH-LOGICAL-c525t-72f50f79929bd6a9d04f9ed76dd96286649f86f6f2bec1b8839687fc0256ac333</originalsourceid><addsrcrecordid>eNp9kE1LAzEQhoMoWKs_wJO9iF62Jtl84klK_YCCB-05pMnEpmx3a9IK_ntTW8RTT8MMz_syPAhdEjwkmIi7xdBBHlL8uw8xYUeoR5SsK8YwP0Y9jLGuKMf6FJ3lvCirlAT30Gj8uYlNnKW4WQ4SNHYduzbP4yoPQpcGbddW8I9wc1hGZ5uBhxW0HloXIZ-jk2CbDBf72UfTx_H76LmavD69jB4mleOUrytJA8dBak31zAurPWZBg5fCey2oEoLpoEQQgc7AkZlStRZKBocpF9bVdd1HN7veVeo-N5DXZhmzg6axLXSbbBTTTArFSSFvD5JEYi250IIXlOxQl7qcEwSzSnFp07ch2GzVmoUpas1W7fZU1JbM9b7e5iIjJFs85L8grRlVkonCXe24YDtjP1Jhpm-liBf9VNWKFuJ-R0Dx9hUhmVyMtg58TODWxnfxwB8_Rk-XFg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1709756965</pqid></control><display><type>article</type><title>Equilibrium relationships for non-equilibrium chemical dependencies</title><source>Elsevier ScienceDirect Journals</source><creator>Yablonsky, G.S. ; Constales, D. ; Marin, G.B.</creator><creatorcontrib>Yablonsky, G.S. ; Constales, D. ; Marin, G.B.</creatorcontrib><description>It is shown that equilibrium constants determine the time-dependent behavior of particular ratios of concentrations for any system of reversible first-order reactions. Indeed, some special ratios actually coincide with the equilibrium constant at any moment in time. This is established for batch reactors, and similar relations hold for steady-state plug-flow reactors, replacing astronomic time by residence time. Such relationships can be termed time invariants of chemical kinetics.</description><identifier>ISSN: 0009-2509</identifier><identifier>EISSN: 1873-4405</identifier><identifier>DOI: 10.1016/j.ces.2010.10.014</identifier><identifier>CODEN: CESCAC</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Applied sciences ; Batch ; chemical concentration ; Chemical engineering ; Chemical equilibrium ; Detailed equilibrium ; Exact sciences and technology ; Invariants ; Kinetics ; Reaction kinetics ; Reactors ; Thermodynamics process ; Time invariants ; Transient response</subject><ispartof>Chemical engineering science, 2011, Vol.66 (1), p.111-114</ispartof><rights>2010 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c525t-72f50f79929bd6a9d04f9ed76dd96286649f86f6f2bec1b8839687fc0256ac333</citedby><cites>FETCH-LOGICAL-c525t-72f50f79929bd6a9d04f9ed76dd96286649f86f6f2bec1b8839687fc0256ac333</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0009250910006007$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,4010,27900,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=23428746$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Yablonsky, G.S.</creatorcontrib><creatorcontrib>Constales, D.</creatorcontrib><creatorcontrib>Marin, G.B.</creatorcontrib><title>Equilibrium relationships for non-equilibrium chemical dependencies</title><title>Chemical engineering science</title><description>It is shown that equilibrium constants determine the time-dependent behavior of particular ratios of concentrations for any system of reversible first-order reactions. Indeed, some special ratios actually coincide with the equilibrium constant at any moment in time. This is established for batch reactors, and similar relations hold for steady-state plug-flow reactors, replacing astronomic time by residence time. Such relationships can be termed time invariants of chemical kinetics.</description><subject>Applied sciences</subject><subject>Batch</subject><subject>chemical concentration</subject><subject>Chemical engineering</subject><subject>Chemical equilibrium</subject><subject>Detailed equilibrium</subject><subject>Exact sciences and technology</subject><subject>Invariants</subject><subject>Kinetics</subject><subject>Reaction kinetics</subject><subject>Reactors</subject><subject>Thermodynamics process</subject><subject>Time invariants</subject><subject>Transient response</subject><issn>0009-2509</issn><issn>1873-4405</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKs_wJO9iF62Jtl84klK_YCCB-05pMnEpmx3a9IK_ntTW8RTT8MMz_syPAhdEjwkmIi7xdBBHlL8uw8xYUeoR5SsK8YwP0Y9jLGuKMf6FJ3lvCirlAT30Gj8uYlNnKW4WQ4SNHYduzbP4yoPQpcGbddW8I9wc1hGZ5uBhxW0HloXIZ-jk2CbDBf72UfTx_H76LmavD69jB4mleOUrytJA8dBak31zAurPWZBg5fCey2oEoLpoEQQgc7AkZlStRZKBocpF9bVdd1HN7veVeo-N5DXZhmzg6axLXSbbBTTTArFSSFvD5JEYi250IIXlOxQl7qcEwSzSnFp07ch2GzVmoUpas1W7fZU1JbM9b7e5iIjJFs85L8grRlVkonCXe24YDtjP1Jhpm-liBf9VNWKFuJ-R0Dx9hUhmVyMtg58TODWxnfxwB8_Rk-XFg</recordid><startdate>2011</startdate><enddate>2011</enddate><creator>Yablonsky, G.S.</creator><creator>Constales, D.</creator><creator>Marin, G.B.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>FBQ</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>L7M</scope></search><sort><creationdate>2011</creationdate><title>Equilibrium relationships for non-equilibrium chemical dependencies</title><author>Yablonsky, G.S. ; Constales, D. ; Marin, G.B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c525t-72f50f79929bd6a9d04f9ed76dd96286649f86f6f2bec1b8839687fc0256ac333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Applied sciences</topic><topic>Batch</topic><topic>chemical concentration</topic><topic>Chemical engineering</topic><topic>Chemical equilibrium</topic><topic>Detailed equilibrium</topic><topic>Exact sciences and technology</topic><topic>Invariants</topic><topic>Kinetics</topic><topic>Reaction kinetics</topic><topic>Reactors</topic><topic>Thermodynamics process</topic><topic>Time invariants</topic><topic>Transient response</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yablonsky, G.S.</creatorcontrib><creatorcontrib>Constales, D.</creatorcontrib><creatorcontrib>Marin, G.B.</creatorcontrib><collection>AGRIS</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology &amp; Engineering</collection><collection>Engineering Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Chemical engineering science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yablonsky, G.S.</au><au>Constales, D.</au><au>Marin, G.B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Equilibrium relationships for non-equilibrium chemical dependencies</atitle><jtitle>Chemical engineering science</jtitle><date>2011</date><risdate>2011</risdate><volume>66</volume><issue>1</issue><spage>111</spage><epage>114</epage><pages>111-114</pages><issn>0009-2509</issn><eissn>1873-4405</eissn><coden>CESCAC</coden><abstract>It is shown that equilibrium constants determine the time-dependent behavior of particular ratios of concentrations for any system of reversible first-order reactions. Indeed, some special ratios actually coincide with the equilibrium constant at any moment in time. This is established for batch reactors, and similar relations hold for steady-state plug-flow reactors, replacing astronomic time by residence time. Such relationships can be termed time invariants of chemical kinetics.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ces.2010.10.014</doi><tpages>4</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0009-2509
ispartof Chemical engineering science, 2011, Vol.66 (1), p.111-114
issn 0009-2509
1873-4405
language eng
recordid cdi_proquest_miscellaneous_849476851
source Elsevier ScienceDirect Journals
subjects Applied sciences
Batch
chemical concentration
Chemical engineering
Chemical equilibrium
Detailed equilibrium
Exact sciences and technology
Invariants
Kinetics
Reaction kinetics
Reactors
Thermodynamics process
Time invariants
Transient response
title Equilibrium relationships for non-equilibrium chemical dependencies
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-08T21%3A39%3A27IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Equilibrium%20relationships%20for%20non-equilibrium%20chemical%20dependencies&rft.jtitle=Chemical%20engineering%20science&rft.au=Yablonsky,%20G.S.&rft.date=2011&rft.volume=66&rft.issue=1&rft.spage=111&rft.epage=114&rft.pages=111-114&rft.issn=0009-2509&rft.eissn=1873-4405&rft.coden=CESCAC&rft_id=info:doi/10.1016/j.ces.2010.10.014&rft_dat=%3Cproquest_cross%3E849476851%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1709756965&rft_id=info:pmid/&rft_els_id=S0009250910006007&rfr_iscdi=true