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Question

A heat pump absorbs 10 kW of heat from outside environment at 250 K while absorbing 15 kW of work. It delivers the heat to a room that must be kept warm at 300 K. The Coefficient of Performance (COP) of the heat pump is
  1. 1.67

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Solution

The correct option is A 1.67
Given that: Q=10kW

W=15kW
Applying first law on heat pump
QL+W=QH
10kW+15kW=QH
QH=25kW
(COP)H.P.=QHW=25kW15kW=1.67

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