In a method for separating at least one lighter impurity of a gaseous mixture containing at least 30% mol of carbon dioxide, a liquid (101) enriched with carbon dioxide is drawn off into a vat of a distillation column (25), at least part (27) of the liquid enriched with carbon dioxide is vaporized and then heated to a first temperature higher than the boiling temperature thereof in the exchanger and leaves the exchanger at the hot end thereof, and at least part of the vaporized and heated liquid is sent from the hot end of the exchanger at the first temperature, without being cooled in the exchanger and without having been compressed, to the lower part of the distillation column, where it participates in the distillation while enriching itself.