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

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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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