Preheat the oven to 350 F.
Line a 9 inch springform pan with parchment and cooking spray and set aside
Sift together the flour, ⅓ cup of the sugar, baking powder, and the salt into a medium bowl.
Add the egg, lemon juice, and oil. Mix until smooth. Set aside
Add the egg whites to the large mixing bowl and beat until frothy. Add the cream of tartar and continue beating until the egg whites form soft peaks. Add the remaining ¼ cup of sugar and beat until stiff, glossy peaks form. Add the lemon zest and beat just until incorporated, about 15 seconds.
Using a rubber spatula, fold the egg whites into the batter mixture
Pour the batter into the prepared pan. Bake for about 30 minutes, until it is just golden brown and a toothpick inserted in the center comes out clean.
Let the cake cool completely on a cooling rack, about 30 minutes