{"title":"Mathematical and Kinetic Study of Horiuti-Polanyi Reaction Mechanism for the Methylcyclohexane Dehydrogenation Over Various Pt/Al2O3 Catalysts","authors":"M. S. Akram, M. Usman, F. S. AlHumaidan","doi":"10.46793/match.89-1.049a","DOIUrl":null,"url":null,"abstract":"The Horiuti-Polanyi (HP) mechanism has been studied for the methylcyclohexane dehydrogenation reaction over a Pt/AlO catalyst. Three HP mechanistic schemes such as competitive, non-competitive, and combined-competitive-non-competitive were used in the kinetic modeling of the experimental data. The loss of first hydrogen atom was regarded as the rate-determining step and the mathematical expressions were developed and fitted against the data. A FORTRAN routine was employed where 4th order Runge-Kutta method was used to solve the related differential equation and Marquardt algorithm was used for the parametric estimation. A kinetically and statistically best-fit HP kinetic equation was obtained with 87.96 kJ/mol of activation energy. The best-fit kinetic model was tested with five additional Pt-containing AlO catalysts and yet again found in good agreement with the experimental data.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Match-Communications in Mathematical and in Computer Chemistry","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.46793/match.89-1.049a","RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The Horiuti-Polanyi (HP) mechanism has been studied for the methylcyclohexane dehydrogenation reaction over a Pt/AlO catalyst. Three HP mechanistic schemes such as competitive, non-competitive, and combined-competitive-non-competitive were used in the kinetic modeling of the experimental data. The loss of first hydrogen atom was regarded as the rate-determining step and the mathematical expressions were developed and fitted against the data. A FORTRAN routine was employed where 4th order Runge-Kutta method was used to solve the related differential equation and Marquardt algorithm was used for the parametric estimation. A kinetically and statistically best-fit HP kinetic equation was obtained with 87.96 kJ/mol of activation energy. The best-fit kinetic model was tested with five additional Pt-containing AlO catalysts and yet again found in good agreement with the experimental data.
期刊介绍:
MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.