Activation energy characteristics of chemically reacting species in multi-route complex reaction mechanism
- PDF / 1,151,171 Bytes
- 8 Pages / 595.276 x 790.866 pts Page_size
- 12 Downloads / 192 Views
ORIGINAL PAPER
Activation energy characteristics of chemically reacting species in multiroute complex reaction mechanism F Sultan1*, W A Khan2,3, M Shahzad1*, M Ali1 and S I A Shah4 1
Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan
2
Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, Azad Jammu & Kashmir, Pakistan 3
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China 4
Department of Mathematics, Islamia College Peshawar, Peshawar, Pakistan Received: 13 May 2019 / Accepted: 29 August 2019
Abstract: The multi-route reversible inhomogeneous chemical reaction involving seven chemical species is deliberated. To inspect the behavior of the common species, their activation energy and transition period have been measured before attaining equilibrium. It has been observed that some reaction routes complete their cycle before the others. The reason behind their completion is related to the species time period that remained involved in the reaction. Steady state behavior of chemical species is perceived. Graphical results are used to describe the physical aspects of measurements, while the difference is comparable in the tabulated form. The procedure is adopted by using MATLAB. Keywords: Complex reaction; Transition time analysis; Activation energy; Reaction routes; Trees; Nodes PACS Nos.: 02.30.Hq; 02.70.-c; 05.20.Dd; 34.50.Lf; 64.60.Fr
1. Introduction There are several mathematical challenges to deal with a complex chemical reaction mechanism in chemical kinetics, like the stoichiometry of reaction mechanism, different reaction completion routes, net-reaction from the catalytic mechanism, analysis of dependent and independent species, the behavior of involved chemical species and time analysis. The problems connected with complex chemical reactions with their analysis are present in the applications of the chemical engineering process. The complex biochemical reaction network catalyzed by an enzyme achieves both the growth of cells and transformation of raw materials to products. To deal with complex chemical reactions, we require the reaction mechanism that consists of several elementary steps, the stoichiometry of reaction mechanisms and key and non-key components of the reaction mechanism [1], the general structures of a
*Corresponding author, E-mail: [email protected]; [email protected]
mechanism for catalytic and non-catalytic reactions that consist of many elementary steps and reaction routes [2]. There are wide applications in the chemical process like polymer production, food processing and dehydrogenation process. Several researchers [3–7] planned the characteristics of homogeneous and inhomogeneous reactions in different fluids flow with the addition of activation energy (AE) and thermal radiation. Mathematical sciences are rapidly changing by modern computational techniques and the latest technologies, offering the prospect to examine complex issues with great generality and accuracy. Order reductio
Data Loading...
