Answer
This claim is unreasonable.
Work Step by Step
$COP_{R,max}=\dfrac{1}{1-\frac{T_L}{T_H}}$
$T_H=545°R,\ T_L=500°R$
$COP_{R,max}=11.1$
Since $COP>COP_{max}$, this claim is unreasonable.
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