An adiabatic steam turbine receives dry saturated steam at $$1.0\,\,\,MN/{m^2}$$ and discharges it $$0.1\,\,\,MN/{m^2}.$$ The steam flow rate is $$3$$ $$kg/s$$ and the moisture at exit in negligible. If the ambient temperature is $$300$$ $$K,$$ determine the rate of entropy production and the lost power.