The inside of an ideal refrigerator is at a temperature , while the heating coils on the back of the refrigerator are at a temperature . Owing to a malfunctioning switch, the light bulb within the refrigerator remains on when the the door is closed. The power of the light bulb is ; assume that all of the energy generated by the light bulb goes into heating the inside of the refrigerator. For all parts of this problem, you must assume that the refrigerator operates as an ideal Carnot engine in reverse between the respective temperatures. If the temperatures inside and outside of the refrigerator do not change, how much extra power does the refrigerator consume as a result of the malfunction of the switch?