The tape includes a backing and a pressure-sensitive adhesive applied from an aqueous dispersion on the backing. The pressure-sensitive adhesive includes an at least partially crosslinked elastomer, a tackifying resin, and sulfur. A process for making the tape includes applying an aqueous dispersion of an elastomer, the tackifying resin, and the sulfur to the backing and drying the aqueous dispersion to provide the pressure-sensitive adhesive on the backing. A process of using the tape includes applying the tape to a surface and exposing the surface to a temperature of at least 150° C.