Answer
$\dot{m}=4.852\ kg/s$
Work Step by Step
From tables A-4 to A-6:
Inlet ($P_1=10\ MPa, T_1=500°C$): $h_1=3375.1\ kJ/kg$
Outlet ($P_2=10\ kPa, x_2=0.90$): $h_2=2344.7\ kJ/kg$
From the energy balance, with $\dot{W}_s=5MW$:
$\dot{m}h_1=\dot{m}h_2+\dot{W}_s$
$\dot{m}=4.852\ kg/s$