Abstract: The invention is directed to an arrangement for vitrifying highly radioace waste solutions. The arrangement has a glass melting furnace and a wet scrubber for scrubbing particles of dust out of the offgas from the glass melting furnace. The offgas is passed from the glass melting furnace into the wet scrubber through an offgas conduit. The solids in the offgas are deposited in the offgas conduit. In order to counteract the disadvantageous consequences of such deposits, the offgas conduit includes two conduit lengths. The glass melting furnace is connected to one end of a first one of the conduit lengths via a connecting conduit stub mounted on the melting furnace and the wet scrubber is connected to one end of the second conduit length via a connecting conduit stub on the scrubbers. The two conduit lengths extend upwardly and are inclined toward each other so that they interconnect at their respective other ends.