Question: 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})

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?

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