Steam enters an adiabatic turbine operating at steady state with an enthalpy of $$3251.0kJ/kg$$ and leaves as a saturated mixture at $$15$$ $$kPa$$ with quality (dryness fraction ) $$0.9.$$ The enthalpies of the saturated liquid and vapour at $$15$$ $$kPa$$ are $${h_f} = 225.94kJ/kg$$ and $${h_g} = 2598.3kJ/kg$$ respectively. The mass flow rate of steam is $$10kg/s.$$ Kinetic and potential energy changes are negligible. The power output of the turbine in $$MW$$ is

An ideal gas of mass $$m$$ and temperature $${T_1}$$ undergoes a reversible isothermal process from an initial pressure $${P_1}$$ to final pressure $$P{}_2.$$ The heat loss during the process is $$Q$$. The entropy changes $$\Delta S$$ of the gas is