Three-Factor Kinetic Equation of Catalyst Deactivation
The three-factor kinetic equation of catalyst deactivation was obtained in terms of apparent kinetic parameters. The three factors correspond to the main cycle with a linear, detailed mechanism regarding the catalytic intermediates, a cycle of reversible deactivation, and a stage of irreversible dea...
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| Published in | Entropy (Basel, Switzerland) Vol. 23; no. 7; p. 818 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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27.06.2021
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| Abstract | The three-factor kinetic equation of catalyst deactivation was obtained in terms of apparent kinetic parameters. The three factors correspond to the main cycle with a linear, detailed mechanism regarding the catalytic intermediates, a cycle of reversible deactivation, and a stage of irreversible deactivation (aging), respectively. The rate of the main cycle is obtained for the fresh catalyst under a quasi-steady-state assumption. The phenomena of reversible and irreversible deactivation are presented as special separate factors (hierarchical separation). In this case, the reversible deactivation factor is a function of the kinetic apparent parameters of the reversible deactivation and of those of the main cycle. The irreversible deactivation factor is a function of the apparent kinetic parameters of the main cycle, of the reversible deactivation, and of the irreversible deactivation. The conditions of such separability are found. The obtained equation is applied successfully to describe the literature data on the reversible catalyst deactivation processes in the dehydration of acetaldehyde over TiO2 anatase and in crotonaldehyde hydrogenation on supported metal catalysts. |
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| AbstractList | The three-factor kinetic equation of catalyst deactivation was obtained in terms of apparent kinetic parameters. The three factors correspond to the main cycle with a linear, detailed mechanism regarding the catalytic intermediates, a cycle of reversible deactivation, and a stage of irreversible deactivation (aging), respectively. The rate of the main cycle is obtained for the fresh catalyst under a quasi-steady-state assumption. The phenomena of reversible and irreversible deactivation are presented as special separate factors (hierarchical separation). In this case, the reversible deactivation factor is a function of the kinetic apparent parameters of the reversible deactivation and of those of the main cycle. The irreversible deactivation factor is a function of the apparent kinetic parameters of the main cycle, of the reversible deactivation, and of the irreversible deactivation. The conditions of such separability are found. The obtained equation is applied successfully to describe the literature data on the reversible catalyst deactivation processes in the dehydration of acetaldehyde over TiO2 anatase and in crotonaldehyde hydrogenation on supported metal catalysts. The three-factor kinetic equation of catalyst deactivation was obtained in terms of apparent kinetic parameters. The three factors correspond to the main cycle with a linear, detailed mechanism regarding the catalytic intermediates, a cycle of reversible deactivation, and a stage of irreversible deactivation (aging), respectively. The rate of the main cycle is obtained for the fresh catalyst under a quasi-steady-state assumption. The phenomena of reversible and irreversible deactivation are presented as special separate factors (hierarchical separation). In this case, the reversible deactivation factor is a function of the kinetic apparent parameters of the reversible deactivation and of those of the main cycle. The irreversible deactivation factor is a function of the apparent kinetic parameters of the main cycle, of the reversible deactivation, and of the irreversible deactivation. The conditions of such separability are found. The obtained equation is applied successfully to describe the literature data on the reversible catalyst deactivation processes in the dehydration of acetaldehyde over T i O 2 anatase and in crotonaldehyde hydrogenation on supported metal catalysts. The three-factor kinetic equation of catalyst deactivation was obtained in terms of apparent kinetic parameters. The three factors correspond to the main cycle with a linear, detailed mechanism regarding the catalytic intermediates, a cycle of reversible deactivation, and a stage of irreversible deactivation (aging), respectively. The rate of the main cycle is obtained for the fresh catalyst under a quasi-steady-state assumption. The phenomena of reversible and irreversible deactivation are presented as special separate factors (hierarchical separation). In this case, the reversible deactivation factor is a function of the kinetic apparent parameters of the reversible deactivation and of those of the main cycle. The irreversible deactivation factor is a function of the apparent kinetic parameters of the main cycle, of the reversible deactivation, and of the irreversible deactivation. The conditions of such separability are found. The obtained equation is applied successfully to describe the literature data on the reversible catalyst deactivation processes in the dehydration of acetaldehyde over TiO2 anatase and in crotonaldehyde hydrogenation on supported metal catalysts.The three-factor kinetic equation of catalyst deactivation was obtained in terms of apparent kinetic parameters. The three factors correspond to the main cycle with a linear, detailed mechanism regarding the catalytic intermediates, a cycle of reversible deactivation, and a stage of irreversible deactivation (aging), respectively. The rate of the main cycle is obtained for the fresh catalyst under a quasi-steady-state assumption. The phenomena of reversible and irreversible deactivation are presented as special separate factors (hierarchical separation). In this case, the reversible deactivation factor is a function of the kinetic apparent parameters of the reversible deactivation and of those of the main cycle. The irreversible deactivation factor is a function of the apparent kinetic parameters of the main cycle, of the reversible deactivation, and of the irreversible deactivation. The conditions of such separability are found. The obtained equation is applied successfully to describe the literature data on the reversible catalyst deactivation processes in the dehydration of acetaldehyde over TiO2 anatase and in crotonaldehyde hydrogenation on supported metal catalysts. The three-factor kinetic equation of catalyst deactivation was obtained in terms of apparent kinetic parameters. The three factors correspond to the main cycle with a linear, detailed mechanism regarding the catalytic intermediates, a cycle of reversible deactivation, and a stage of irreversible deactivation (aging), respectively. The rate of the main cycle is obtained for the fresh catalyst under a quasi-steady-state assumption. The phenomena of reversible and irreversible deactivation are presented as special separate factors (hierarchical separation). In this case, the reversible deactivation factor is a function of the kinetic apparent parameters of the reversible deactivation and of those of the main cycle. The irreversible deactivation factor is a function of the apparent kinetic parameters of the main cycle, of the reversible deactivation, and of the irreversible deactivation. The conditions of such separability are found. The obtained equation is applied successfully to describe the literature data on the reversible catalyst deactivation processes in the dehydration of acetaldehyde over T i O 2 anatase and in crotonaldehyde hydrogenation on supported metal catalysts. |
| Author | Constales, Denis Gromotka, Zoë Yablonsky, Gregory Ostrovskii, Nickolay |
| AuthorAffiliation | 1 Department of Electronics and Information Systems, Ghent University, 9000 Ghent, Belgium; denis.constales@ugent.be 2 Department of Energy, Environmental & Chemical Engineering, McKelvey School of Engineering, Washington University, St. Louis, MO 63130, USA; gregoryyablonsky@gmail.com 3 Euro Gas, 24000 Subotica, Serbia; n-ostr@yandex.ru |
| AuthorAffiliation_xml | – name: 1 Department of Electronics and Information Systems, Ghent University, 9000 Ghent, Belgium; denis.constales@ugent.be – name: 3 Euro Gas, 24000 Subotica, Serbia; n-ostr@yandex.ru – name: 2 Department of Energy, Environmental & Chemical Engineering, McKelvey School of Engineering, Washington University, St. Louis, MO 63130, USA; gregoryyablonsky@gmail.com |
| Author_xml | – sequence: 1 givenname: Zoë orcidid: 0000-0002-5004-0575 surname: Gromotka fullname: Gromotka, Zoë – sequence: 2 givenname: Gregory surname: Yablonsky fullname: Yablonsky, Gregory – sequence: 3 givenname: Nickolay orcidid: 0000-0003-0815-0874 surname: Ostrovskii fullname: Ostrovskii, Nickolay – sequence: 4 givenname: Denis orcidid: 0000-0002-6826-6185 surname: Constales fullname: Constales, Denis |
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| Cites_doi | 10.1021/i200016a011 10.1007/BF02071341 10.1016/S0926-860X(00)00843-7 10.3390/e13050966 10.1016/B978-0-12-147695-3.50009-0 10.1021/ie00075a002 10.1016/j.cej.2006.03.026 10.1016/0009-2509(68)80022-3 10.1016/S0009-2509(02)00134-3 10.1006/jcat.1999.2635 10.1016/j.ces.2009.09.005 10.1021/ie100394v 10.3390/sym12101748 10.1021/acscatal.8b03991 10.1021/ie101481y 10.1016/j.apcata.2016.07.014 10.1515/zpch-1913-8512 |
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| Copyright | 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. 2021 by the authors. 2021 |
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| References | Ostrovskii (ref_7) 1989; 39 Ostrovskii (ref_14) 2006; 120 Tsheglove (ref_4) 1972; N 3 Sahebdelfar (ref_22) 2016; 525 Corella (ref_2) 1982; 21 Bodenstein (ref_8) 1913; 85U ref_13 Bartholomew (ref_6) 2001; 212 Reyes (ref_20) 2002; 47 Gorban (ref_12) 2010; 65 Liberkova (ref_16) 2002; 57 Rekoske (ref_18) 2011; 50 Gorban (ref_11) 2011; 13 ref_17 ref_9 Michaelis (ref_10) 1913; 49 Consonni (ref_19) 1999; 188 Gu (ref_21) 2019; 9 ref_5 Birtill (ref_15) 2011; 50 Levenspiel (ref_1) 1968; 23 Corella (ref_3) 1988; 27 |
| References_xml | – volume: 21 start-page: 55 year: 1982 ident: ref_2 article-title: Kinetic equations of mechanistic type with nonseparable variables for catalyst deactivation by coke. Models and data analysis methods publication-title: Ind. Eng. Chem. Process. Des. Dev. doi: 10.1021/i200016a011 – volume: 39 start-page: 287 year: 1989 ident: ref_7 article-title: Kinetic equation for catalyst deactivation publication-title: React. Kinet. Catal. Lett. doi: 10.1007/BF02071341 – volume: 212 start-page: 17 year: 2001 ident: ref_6 article-title: Mechanisms of catalyst deactivation publication-title: Appl. Catal. A Gen. doi: 10.1016/S0926-860X(00)00843-7 – ident: ref_9 – volume: 13 start-page: 966 year: 2011 ident: ref_11 article-title: The Michaelis-Menten-Stueckelberg Theorem publication-title: Entropy doi: 10.3390/e13050966 – ident: ref_5 doi: 10.1016/B978-0-12-147695-3.50009-0 – volume: 27 start-page: 375 year: 1988 ident: ref_3 article-title: Some intrinsic kinetic equations and deactivation mechanisms leading to deactivation curves with a residual activity publication-title: Ind. Eng. Chem. Res. doi: 10.1021/ie00075a002 – volume: 120 start-page: 73 year: 2006 ident: ref_14 article-title: General equation for linear mechanisms of catalyst deactivation publication-title: Chem. Eng. J. doi: 10.1016/j.cej.2006.03.026 – volume: 23 start-page: 881 year: 1968 ident: ref_1 article-title: Optimal temperature policies for reactors subject to catalyst deactivation—I Batch reactor publication-title: Chem. Eng. Sci. doi: 10.1016/0009-2509(68)80022-3 – volume: 57 start-page: 2519 year: 2002 ident: ref_16 article-title: Analysis of deactivation and selectivity pattern in catalytic hydrogenation of a molecule with different functional groups: Crotonaldehyde hydrogenation on Pt/SnO2 publication-title: Chem. Eng. Sci. doi: 10.1016/S0009-2509(02)00134-3 – volume: 188 start-page: 165 year: 1999 ident: ref_19 article-title: High Performances of Pt/ZnO Catalysts in Selective Hydrogenation of Crotonaldehyde publication-title: J. Catal. doi: 10.1006/jcat.1999.2635 – volume: 65 start-page: 2310 year: 2010 ident: ref_12 article-title: Asymptotology of chemical reaction networks publication-title: Chem. Eng. Sci. doi: 10.1016/j.ces.2009.09.005 – volume: 50 start-page: 41 year: 2011 ident: ref_18 article-title: Kinetics, Selectivity, and Deactivation in the Aldol Condensation of Acetaldehyde on Anatase Titanium Dioxide publication-title: Ind. Eng. Chem. Res. doi: 10.1021/ie100394v – ident: ref_17 doi: 10.3390/sym12101748 – volume: 47 start-page: 547 year: 2002 ident: ref_20 article-title: Crotonaldehyde hydrogenation on Rh/TiO2 catalysts. In situ DRIFTS studies publication-title: Boletin Sociedad Chilena Quimica – volume: 9 start-page: 991 year: 2019 ident: ref_21 article-title: Self-Regeneration of Cobalt and Nickel Catalysts Promoted with Bismuth for Non-deactivating Performance in Carbon Monoxide Hydrogenation publication-title: ACS Catal. doi: 10.1021/acscatal.8b03991 – volume: 50 start-page: 3145 year: 2011 ident: ref_15 article-title: Systematic Procedures for Interpretation and Modeling of Catalyst Deactivation Using Integral Fixed-Bed Reactors publication-title: Ind. Eng. Chem. Res. doi: 10.1021/ie101481y – ident: ref_13 – volume: 49 start-page: 333 year: 1913 ident: ref_10 article-title: Die Kinetik der Invertinwirkung publication-title: Biochem. Z. – volume: 525 start-page: 197 year: 2016 ident: ref_22 article-title: Pd-Ag/Al2O3 catalyst: Stages of deactivation in tail-end acetylene selective hydrogenation publication-title: Appl. Catal. A Gen. doi: 10.1016/j.apcata.2016.07.014 – volume: 85U start-page: 329 year: 1913 ident: ref_8 article-title: Eine Theorie der photochemischen Reaktionsgeschwindigkeiten publication-title: Zeitschrift Physikalische Chemie doi: 10.1515/zpch-1913-8512 – volume: N 3 start-page: 709 year: 1972 ident: ref_4 article-title: Dynamic Kinetic Model of Vinyl Chloride Synthesis publication-title: Kinetika Kataliz |
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| SubjectTerms | Acetaldehyde Aging Anatase catalyst deactivation Catalysts Deactivation Dehydration kinetic equation Kinetic equations Kinetics Parameters Phase transitions Poisons reversible deactivation and aging Review separability Titanium dioxide |
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| Title | Three-Factor Kinetic Equation of Catalyst Deactivation |
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