The article deals with the construction of a mathematical model of the process, which is created based on the results of a full factorial experiment. Often, only the results of experimental studies carried out at such objects are the information, based on the processing of which, according to the obtained mathematical model of the object, a high-quality control algorithm for this object can be implemented. At the same time, the construction of a mathematical model that describes the technological process with the required accuracy often involves a huge amount of work at the stage of experiments. The task of planning experiments is to establish the minimum required number of them and the conditions for their implementation, to choose methods for mathematical processing of the results, and to make decisions. Designing experiments significantly reduces the number of experiments required to obtain a process model. An active experiment involves a purposeful choice of factor values. Compared to a passive experiment, such an experiment turns out to be more efficient and economical, since the amount of experimental work is significantly reduced. In this article, in relation to chemical technology, the issues of organizing an experiment, mathematical processing of experimental data and mathematical planning of an experiment in the search for optimal conditions for conducting a technological process are described. Mathematical modeling and optimization of chemical technology objects is of great importance for obtaining higher professional education for students of the Educational and Scientific Institute of Chemical Technology and Engineering.
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