In a bowl, place the butter and dark chocolate and melt them in a double boiler or in pulses in the microwave. Add the egg yolks one by one while stirring, sift in the cacao powder, and mix until smooth.
In a mixer bowl with a whisk attachment, beat the egg whites, gradually adding the sugar, and wait a few minutes until stiff peaks form. Add the chocolate mixture to the bowl and fold gently with a spatula until a very smooth and homogeneous batter is obtained.
Grease a medium-sized round baking pan and line it with parchment paper. Pour in the cake batter and bake for 30-35 minutes. The cake is ready when it is slightly soft in the center and more stable at the edges.
Remove the cake from the oven and let it cool. You can refrigerate it for about an hour until it reaches room temperature, then slice and enjoy!