Question: A heat pump that operates on a Carnot cycle uses (mathrm{N}_{2}) gas and operates on electricity. (a) At what rate is it using electrical energy

A heat pump that operates on a Carnot cycle uses $\mathrm{N}_{2}$ gas and operates on electricity.

(a) At what rate is it using electrical energy when it adds thermal energy at a rate of $1.35 \mathrm{~kW}$ to a room that is at $22^{\circ} \mathrm{C}$ when the outside temperature is $-25^{\circ} \mathrm{C}$ ?

(b) What is the pump's coefficient of performance of heating?

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