Answer
$\dot{W}=19.3\ kW$
Work Step by Step
From tables A-11 to A-13:
Inlet ($x_1=1, T_1=10°C$): $s_1=0.9266\ kJ/kg.K,\ h_1=256.22\ kJ/kg$
Outlet ($P_2=1\ MPa, s_{2,s}=s_1$): $h_{2,s}=274.45\ kJ/kg$
From the energy balance:
$\dot{W}_s=\dot{m}(h_{2,s}-h_1)$
With $\dot{m}=0.9\ kg/s$
$\dot{W}_s=16.41\ kW$
$\dot{W}=\dfrac{\dot{W}_s}{\eta},\quad \eta=0.85$
$\dot{W}=19.3\ kW$
