An electric heat pump that operates on a Carnot cycle is used to keep the air in a laboratory chamber at a constant \(35^{\circ} \mathrm{C}\) by extracting energy from outside air that is at \(5^{\circ} \mathrm{C}\). Due to conduction and small leaks, the chamber loses thermal energy at a rate of \(12.0 \mathrm{~W}\).

(a) At what rate must the pump extract energy from the outside air?

(b) At what rate is the pump using electrical energy?