Exact solution of Arrhenius equation for non-isothermal kinetics at constant heating rate and n-th order of reaction

• Published in: Journal of mathematical chemistry Vol. 58; no. 5; pp. 922 - 938
• Main Authors: Elgendy, Abd Elfattah T., Abdel-Aty, Abdel-Haleem, Youssef, Amr A., Khder, Moaiad A. A., Lotfy, Khaled, Owyed, Saud
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01-05-2020; Springer Nature B.V
• Subjects: Additives; Approximation; Chemistry; Chemistry and Materials Science; Exact solutions; Heating rate; Math. Applications in Chemistry; Numerical methods; Original Paper; Parameters; Physical Chemistry; Reaction kinetics; Theoretical and Computational Chemistry; th-order-of-reaction; Pre-exponential-factor; Arrhenius-equation; Non-isothermal-process; Activation-energy
• ISSN: 0259-9791; 1572-8897
• DOI: 10.1007/s10910-019-01056-7

This paper provides exact solution of Arrhenius equation for non-isothermal kinetics at constant heating rate and
n
th-order of reaction instead of using numerical methods. This model is built to be capable of solving one and multi-order of reaction which is based on natural chemical components and other additives. We note that the presented solution can be useful to give more significant physical description than the previous approximation methods under the same values of the activation energy and pre-exponential factor parameters, and more generally the method may enable us to control parameters which is deterministic but unknown.