Place the stopper in the bottom of the sink and fill the bowl with warm water. Add a few drops of a mild liquid soap. Add enough soap to make the water cloudy.
Dip a clean soft cloth into the soapy water. Wipe the cloth over the burned area of the acrylic sink. Keep wiping the area until most of the discoloration from the burn is gone, then empty the sink bowl.
Fill a bowl with one part baking soda to three parts water. Stir the solution with a spoon until you have a paste.
Spread the baking soda paste over the burn marks. Massage the cleaning solution in with your fingers. Allow the paste to remain on the burn marks for about five minutes.
Use an old toothbrush to scrub the paste off the burned area on the sink. Continue brushing the area until the burn mark is removed. Add more of the baking soda paste and repeat if the burn mark is still visible.