Title | Mathematical model of the catalytic synthesis of methyl-tert-butyl ether |
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Authors | A. A. Usmanova^{1}, K. F. Koledina^{1, 2}^{1}Institute of Petrochemistry and Catalysis of RAS ^{2}Ufa State Oil Technical University |

Annotation | A mathematical model has been constructed based on an experimentally developed scheme of chemical transformations in the synthesis of methyl tert-butyl ether by intermolecular dehydration of tert-butanol with methanol using a HY zeolite catalyst with a hierarchical structure [1]. The mathematical model is based on the law of active surfaces, taking into account the processes of adsorption and desorption on the catalyst surface. The solution of the inverse problem in the form of a global optimization problem made it possible to determine the kinetic constants. |

Keywords | mathematical modeling, methyl tert-butyl ether, intermolecular dehydra-tion, Langmuir–Hinshelwood model, global optimization |

Citation | Usmanova A. A., Koledina K. F. ''Mathematical model of the catalytic synthesis of methyl-tert-butyl ether'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 248-252. Available at: https://conf.svmo.ru/files/2023/papers/paper39.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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