The cake batter has an average mass of 0.5 kg (between before and after baking) and the pyrex cake pan has a mass of 0.9 kg. The cake and the pan both start at a room temperature of 25 C and the oven temperature is held at 180C. If the average specific heat of the cake is 4.6 kJ/kg-K and the average specific heat of the pyrex cake pan is 0.835 kJ/kg-K, determine the amount of heat that needs to be added to bring the cake and the pan to the over temperature (when it is fully baked). If the cake takes 20 minutes to bake, what is the average power transferred during that time.