Question 7.45: A heat pump has a COP of 1.7. Determine the heat transferred......

The COP and the work input of a heat pump are given. The heat transferred to and from this heat pump are to be determined.

Assumptions The heat pump operates steadily.

Analysis Applying the definition of the heat pump coefficient of performance,

Q_{H}=\mathrm{COP}_{\mathrm{HP}} W_{\text {net,in }}=(1.7)(50 \mathrm{~kJ})=\mathrm{8 5} \mathrm{k J}

Adapting the first law to this heat pump produces

Q_{L}=Q_{H}-W_{\text {net,in }}=85 \mathrm{~kJ}-50 \mathrm{~kJ}=\mathrm{3 5} \mathrm{k J}