Answer
$\dot{W}_i=0.879\ kW$
Work Step by Step
$COP_R=\dfrac{1}{1-\frac{T_L}{T_H}}$
Given $T_H=540°R,\ T_L=450°R$
$COP_R=5$
$COP_R=\dot{Q}_L/\dot{W}_i$
With $\dot{Q}_L=15000\ Btu/h$
$\dot{W}_i=0.879\ kW$
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