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MATHEMATICAL DESCRIPTION OF STATE DIAGRAMSAnnotation. A mathematical model of the state diagram of the Fe -Fe3C system has been created. It is based on the mathematical description of the equilibrium lines of the diagram. According to the obtained algorithm, a computer program was developed. When setting the carbon content in the metal under study and the temperature from the remote control, the computer finds the required area, calculates and displays the phase composition in mass percent on a monitor or print. No obstacles are foreseen for the creation of mathematical models for other binary systems.

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Annotation. The article presents the results of a study of the processes of slag formation during the smelting of carbon ferrochrome from refractory chromite ores of the Don GOK with the addition of various fluxing additives to the charge. Basalt rocks and quartzite were tested as the latter. A theoretical and theoretical analysis of changes in the chemical and phase composition of slag melts is carried out, their viscosity, crystallization temperature and electrical resistance are studied.

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