Place 2 tbsp. of cream of tartar inside the urn. Fill the urn with water, and run it through a brewing cycle, following the manufacturer's directions for your model. Do not add coffee to the urn for this brewing cycle. The cream of tartar loosens the stains and hard water deposits inside.
Empty the water from the urn.
Place two or three drops of a mild dish soap on a steel wool scrubbing pad.
Scrub the interior of the urn thoroughly to remove any remaining stains inside. Rinse the urn thoroughly with clear water before using it to make coffee.