Answer
$\dot{Q}_e=640\ kW$
Work Step by Step
From tables A-4 to A-6:
Inlet ($P_1=1.6\ MPa, T_1=350°C$): $h_1=3146.0\ kJ/kg$
Outlet ($x_2=1, T_2=30°C$): $h_2=2555.6\ kJ/kg$
From the energy balance:
$\dot{m}h_1=\dot{m}h_2+\dot{W}_{s,e}+\dot{Q}_e$
Given $\dot{m}=22\ kg/s,\ \dot{W}_{s,e}=12350\ kW$
$\dot{Q}_e=640\ kW$