Preheat the oven to 350°F. Line a 9-inch springform pan with parchment paper and spray with cooking spray.
Sift flour, 1/3 cup sugar, baking powder, and salt into a bowl.
Add egg, lemon juice, and oil. Mix until smooth and set aside.
In a large bowl, beat egg whites until frothy. Add cream of tartar and continue beating until soft peaks form. Add 1/4 cup sugar and beat until stiff peaks form. Fold in lemon zest.
Gently fold egg whites into the batter. Pour into the prepared pan.
Bake for about 30 minutes or until golden brown and a toothpick comes out clean. Cool completely on a rack.