Stream at $$300$$ $$kPa$$ and $${500^ \circ }C\,\,\left( {h = 3486.0\,\,kJ/kg} \right)$$ enters a steam turbine and exits at atmospheric pressure and $${350^ \circ }C\,\,\left( {h = 3175.8\,\,kJ/kg} \right).$$ Heat losses in turbine are $$50$$ $$kW$$ and the mass flow rate is $$0.25$$ $$kg/s$$. Determine the power output of the turbine if kinetic energy losses are negligible.