Answer
$\dot{W}_s=872\ kW$
Work Step by Step
From the energy balance:
$\dot{W}_s+\dot{m}h_1=\dot{m}h_2+\dot{Q}$
With $h_2=h_1+c_p(T_2-T_1)$
$\dot{W}_s=\dot{m}(c_p(T_2-T_1)+\dot{q})$
Given $\dot{m}=60\ kg/min,\ c_p=5.1926\ kJ/kg,\ T_2=460K,\ T_1=295\ K,\ \dot{q}=15\ kJ/kg$:
$\dot{W}_s=872\ kW$