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GATE 2017 ME (ME1) – Question 22

Thermal Engineering Applications · Refrigeration and heat pump cycles · 1 mark · Numerical answer

A heat pump absorbs 10 kW from outside at 250 K and consumes 15 kW of work. It heats a room maintained at 300 K. Find its coefficient of performance.

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Correct answer: 1.60 to 1.70

Explanation

Energy conservation gives heat delivered to the room as $Q_H=Q_L+W=10+15=25$ kW. Heating COP is useful heat divided by work input, $COP_H=25/15=1.6667$. The reservoir temperatures define a reversible upper bound, but the given actual heat and work flows determine this pump’s COP.

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