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

• A. 1.67

Answer 1

The correct option is A 1.67
Given that: $Q_{=}10kW$

$W=15kW$
Applying first law on heat pump
$Q_L+W=Q_H$
$10kW+15kW=Q_H$
$Q_H=25kW$
$(COP{)}_{H.P.}=\frac{Q_H}{W}=\frac{25kW}{15kW}=1.67$