Evaluation of steady-state to identify the fast-slow completion-route in the multi-route reaction mechanism
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ORIGINAL ARTICLE
Evaluation of steady‑state to identify the fast‑slow completion‑route in the multi‑route reaction mechanism Mehboob Ali1 · Sarbaz Hamza2 · Dipo Aldila3 · Faisal Sultan1 · Soma Mustafa1 · Muhammad Shahzad1 Received: 14 January 2020 / Accepted: 15 May 2020 © King Abdulaziz City for Science and Technology 2020
Abstract The multi-route reversible chemical scheme involves several chemical species and needs to inspect their behavior, activation energy, and the transition period before attaining equilibrium. The comparison between the transition periods of each reaction route is perceived. However, the behavior of the involved species in a multi-routes of the reaction mechanism is presented graphically. The computational procedure is adopted by using MATLAB. Keywords Reaction mechanism · Transition period · Reaction routes · Reaction route comparison
Introduction Form the last 3 decades, the collaboration between mathematics and chemistry were bloom. The most dominating name of pioneers in constructing the concept of stoichiometry is Lavoisier and Dalton, on the parallel bases, Cayley is the maker of matrices theory. In the 1950–1960s, the renew computational results on the interface of mathematics and chemistry had made. In the current era, in mathematical chemistry, many severe hypotheticals are easily to fathom. There is a vast application of chemical reactions like the process of burning, rust, the formation of many useful chemicals and systems of biochemical regularly that’s why we cannot neglect the enthusiastic role of chemistry in our domestic or industrials level (Kooshkbaghi et al. 2014; Shahzad et al. 2015a; Aris 1965; Constales et al. 2016; Maxwell 1867; Boltzmann 1970). Many researchers develop * Mehboob Ali [email protected] Faisal Sultan [email protected] Muhammad Shahzad [email protected] 1
Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan
2
Department of Mathematics, University of Raparin, Ranya, Iraq
3
Department of Mathematics, University of Indonesia, Depok 16424, Indonesia
their interest in the field of complex chemical reaction mechanisms and serve their efforts. By the brief knowledge of chemical mechanisms, we can get access to the complication of chemistry. Many microscopic species take part in chemical reactions (Sultan et al. 2019b, 2020; Shahzad et al. 2015b, 2016a, 2019a; Kooshkbaghi et al. 2016;). It is difficult to handle these species easily. For this, we need to model the microscopic system mathematically and then find their features (Shahzad et al. 2019b,2019c,2016b; Gorban and Karlin 2003). The analysis of this article demonstrates the steady-state behavior of reduced species in the reaction mechanism and the transition time for the common species of both reaction routes. Although both routes are not in the same dimension, we have delivered the new idea of their unique equilibrium lies in the respective domain. Moreover, it is observed from the above discussion that the current consideration is unique, and
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