Steam enters a well insulated turbine and expands isentropically throughout. At an intermediate pressure, $$20$$ percent of the mass is extracted for process heating and the remaining steam expands isentropically to $$9$$ $$kPa.$$ Inlet to turbine $$P=14$$ $$MPa,$$ $$T = {560^ \circ }C,$$ $$h=3486$$ $$kJ/kg,$$ $$s=6.6$$ $$kJ/(kg.K)$$

Intermediate stage: $$h=2776$$ $$kJ/kg$$
Exit of turbine : $$P=9kPa,$$ $${h_f} = 174\,\,kJ/kg,$$
$$\eqalign{ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{h_g} = 2574\,\,kJ/kg,\,\,\,{s_f} = 0.6kJ/\left( {kg.K} \right); \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,{s_g} = 8.1\,\,kJ/(kg.K) \cr} $$

If the flow rate of steam entering the turbine is $$100$$ $$kg/s,$$ then the work output (in $$MW$$) is __________.