Preheat the oven to 350 degrees F. Line a cupcake pan with parchment paper liners.
Measure ⅓ cup of coconut oil and put it in a large mixing bowl. Microwave for about 15-20 seconds until it is melted.
Add the sugar and unsweetened applesauce to the oil and mix on low speed. Add the vanilla extract, water, and vinegar, and mix until smooth and combined.
Add the gluten free flour blend, cocoa powder, sugar, baking soda, and salt. Mix on medium speed until smooth. You can also stir by hand if you prefer. A mixer is not required.
If the batter seems too thick, add more water. Some gluten free blends really absorb the liquid, so you will have to use your judgement to adjust the amount of liquid.
Spoon the batter into the cupcake liners, filling them about ⅔ full.
Bake at 350 degrees F for 19-24 minutes, or until a toothpick inserted inside comes out clean. Allow the cupcakes to cool in the pan.
Repeat with remaining batter (you will have enough for 2 or 3 more cupcakes).