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HEAT water and sugar in a medium-sized saucepan until the sugar has dissolved. Roughly chop up the chocolate and stir it into the water using a whisk.
SIFT the cocoa powder and when the chocolate has melted completely and the mixture is smooth, add the cocoa powder. Make sure the mixture is really smooth. Let it cool off completely.
POUR the mixture into the ice cream maker and let run for about 40 minutes, depending on your machine. When done, remove the ice cream from the ice cream maker and place it into the freezer.
Enjoy your homemade dark chocolate sorbet!