Answer
$P_{min}=P_{sat,T_L}=356\ kPa$
Work Step by Step
$COP_R=\dfrac{1}{1-\frac{T_L}{T_H}}$
$T_H/T_L=1.2$
$COP_R=5$
$COP_R=Q_L/W_i,\quad W_i=22\ kJ$
$Q_L=110\ kJ$
$Q_H=W_i+Q_L$
$Q_H=132\ kJ$
$q_H=Q_H/m,\quad m=0.96\ kg$
$q_H=137.5\ kJ/kg=\Delta h_v\ \rightarrow T_H=61.3°C$
$T_L=278.6\ K=5.6°C$
$P_{min}=P_{sat,T_L}=356\ kPa$