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Preheat the oven to 350°F. Grease an 8-inch square baking pan with nonstick cooking spray.
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In a small saucepan, combine the bittersweet chocolate with 1 cup (250ml) water over low heat. Cook, stirring frequently, for about 5 minutes or until the chocolate melts. Set aside to cool.
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In a medium bowl whisk together the flour, cocoa powder, baking powder, and salt.
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In the bowl of an electric mixer, beat the butter and sugar until light and fluffy. Add the eggs, one at a time, beating well after each addition. Add the flour and melted chocolate mixture to the bowl, in alternating batches, until everything is just combined.
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Spread the batter evenly into the prepared pan. Bake for about 40 minutes, or until a cake tester inserted into the center of the cake comes out clean. Let cool for 30 minutes.