The invention relates to rear-metal metallurgy and can be used for efficient osmium extraction from copper production waste material. The inventive method consists in pre-distilling organic components in a reducing medium from initial raw material in the form of an acid sludge of copper production. Afterwards, the distillation of metals, including osmium, is carried out by means of a hydrometallurgical method in reactors adding a diluted sulphuric acid and an oxidiser. Said metals, including osmium, pass into a gaseous phase and are retained by alkali absorbers. A remaining cake is granulated, dried at a temperature of 40-50 DEG C and heated at a temperature of 450-500 DEG C in a shaft furnace, i.e. at relatively low temperatures in order to prevent a cake sintering. Said invention makes it possible to carry out the selective and highly efficient osmium extraction (to 98%) into the gaseous phase from the copper production waste material which is barren of that component.
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