Abstract: The invention relates to a method for purifying a gas stream containing impurities composed of organic compounds, said gas stream flowing out of a reactor (1) designed for solid phase condensation, preferably for aromatic polyesters and polyamides. According to said method, a gas containing at least oxygen is fed to the gas stream containing the impurities. The combined gas stream is then conveyed, at a high temperature, especially from 280° C. to 380° C., onto a catalyst (8) containing rhodium or a rhodium alloy on an inert porous support. It was found advantageous that the amount of oxygen used be hypo stoichiometric, in relation to the organic impurities, and/or that the ratio of oxygen to impurities be controlled by means of a lambda probe (A). Such a lambda probe (A) is used in a facility according to the invention.