Preheat oven to 350°F. Line two muffin tins with cupcake liners and set aside.
Place the chopped dark chocolate and cocoa powder in a heat-safe bowl or measuring cup. Pour in the hot water or coffee and stir to combine. Set aside. In a large mixing bowl, whisk together the flour, baking soda, baking powder, and slat, and set aside.
In the bowl of an electric mixer fitted with the paddle attachment (or a large mixing bowl and hand mixer), mix together the oil, granulated sugar, and brown sugar until combined. Add in the vanilla then the eggs, mixing in between each one until combined. Finally, add in the sour cream.
Add the flour mixture and stir to combine.
Lastly, add the melted chocolate mixture and stir until combined.
Using a mechanical ice cream scoop or disher, fill the cupcake liners between ⅔ and ¾ of the way full. Bake for 20 to 22 minutes, or until a toothpick inserted into the center of the cupcakes comes out clean or with a few crumbs. Completely cool the cupcakes on a wire rack before frosting.