Answer
$W_i=99\ kJ$
Work Step by Step
$COP_R=\dfrac{1}{1-\frac{T_L}{T_H}}$
$T_H=300\ K,\ T_L=3\ K$
$COP_R=0.0101$
$COP_R=Q_R/W_i,\ Q_i=1\ kJ$
$W_i=99\ kJ$
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