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Preheat oven to 300 degrees F (150 degrees C). Grease one 10 inch round cake pan and set aside.
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In a small saucepan over medium heat combine the water, salt and sugar. Stir until completely dissolved and set aside.
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Either in the top half of a double boiler or in a microwave oven melt the bittersweet chocolate. Pour the chocolate into the bowl of an electric mixer.
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Cut the butter into pieces and beat the butter into the chocolate, 1 piece at a time. Beat in the hot sugar-water. Slowly beat in the eggs, one at a time.
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Pour the batter into the prepared pan. Have a pan larger than the cake pan ready, put the cake pan in the larger pan and fill the pan with boiling water halfway up the sides of the cake pan.
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Bake cake in the water bath at 300 degrees F (150 degrees C) for 45 minutes. The center will still look wet.
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Chill cake overnight in the pan. To unmold, dip the bottom of the cake pan in hot water for 10 seconds and invert onto a serving plate.