Answer
$T_L=263\ K$
$\dot{Q}_H=18.7\ kW$
Work Step by Step
$COP_{HP}=\dfrac{1}{1-\frac{T_L}{T_H}}$
Given $COP_{HP}=8.7,\ T_H=297\ K$:
$T_L=263\ K$
$COP_{HP}=\dot{Q}_H/\dot{W}_i$
Given $\dot{W}_i=2.15\ kW$
$\dot{Q}_H=18.7\ kW$
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