The interior of a refrigerator has a surface area of 6.4 m². it is insulated by a 2.7 cm thick material that has a thermal conductivity of 0.0309 j/m ·s·◦c. the ratio of the heat extracted from the interior to the work done by the motor is 3.7% of the theoretical maximum. the temperature of the room is 44.6 ◦c, and the temperature inside the refrigerator is 9.6 ◦c. determine the power required to run the compressor.