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Question

A window air conditioner that consumes 1 kW of electricity when running and has a coefficient of performance of 3 is placed in the middle of a room, and is plugged in. The rate of cooling or heating this air conditioner will provide to the air in the room when running is (a) 3 kJ/s, cooling (b) 1 kJ/s, cooling (c) 0.33 kJ/s, heating (d) 1 kJ/s, heating (e) 3 kJ/s, heating

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The net heat rate is:

Q˙=Q˙HQ˙L=W˙+Q˙LQ˙L=W˙=1kJs\begin{align*} \dot Q&=\dot Q_{H}-\dot Q_{L}\\ &=\dot W+\dot Q_{L}-\dot Q_{L}\\ &=\dot W\\ &=\boxed{1\:\dfrac{\text{kJ}}{\text{s}}} \end{align*}

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