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Background. One of the ways to intensify copper production is to involve industrial wastes, including copper slag, in the processing. To extract copper from it, reducing agents are introduced into the heated liquid slag of the furnace, as a result, copper passes into the matte phase. Purpose. It is reasonable, from a thermodynamic point of view, to propose for the role of a reducing agent in liquid copper furnace slag carbon components that are part of used car tires with slag components, Methodology. The probability of carbothermal reactions was estimated by determining the change in thermodynamic functions, taking into account the temperature dependence of the isobaric-isothermal potential. The kinetic equations were derived from the dependence of the equilibrium constants of the reactions on the Gibbs energy. in Microsoft Excel. built Ellingham diagrams to determine the optimal process temperatures. Originality The mechanism, kinetics and thermodynamics of the processes of interaction of liquid copper slag with carbon in the composition of car tire waste were studied, and a general Ellingham diagram of the process was constructed. Findings. It has been established that in slag the reactions of reduction of oxides (CuO, Cu2O, Fe2O3, Fe3O4, FeO) with carbon are endothermic. The decrease in temperature in the system of liquid slag with the carbon component of tires is justified. The limiting stage of the process is the wustite reduction reaction. It goes in the kinetic mode, other reactions - in the diffusion mode. The optimum process temperature depends on the wustite reduction reaction: 1150°C is the optimum process temperature in general. [ABSTRACT FROM AUTHOR]