**Given data:**

For saturated liquid, at $$P=75$$ $$kPa,$$

$$\eqalign{
& \,\,\,\,\,\,\,\,\,\,{h_f} = 384.39\,\,kJ/kg, \cr
& \,\,\,\,\,\,\,\,\,\,{v_f} = 0.001037\,\,{m^3}/kg, \cr
& \,\,\,\,\,\,\,\,\,\,{s_f} = 1.213\,\,kJ/kg K \cr} $$

At $$75$$ $$kPa,$$ $${h_{fg}} = 2278.6\,\,kJ/kg,$$

$$\,\,\,\,\,\,\,\,\,\,\,\,\,{s_{fg}} = 6.2434\,\,kJ/kg$$-$$K$$

At $$P=3$$ $$MPa$$ and

$$\,\,\,\,\,\,\,\,\,\,T = {350^ \circ }C\,\,\,$$ (Superheated steam),

$$\,\,\,\,\,\,\,\,\,\,h = 3115.3\,\,kJ/kg,$$

$$\,\,\,\,\,\,\,\,\,\,s = 6.7428\,\,kJ/kg$$-$$K$$

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 __________.