Steam flows steadily through an adiabatic turbine. the inlet conditions of the steam are 4 mpa, 500°c, and 80 m/s, and the exit conditions are 30 kpa, 92 percent quality, and 50 m/s. the mass flow rate of the steam is 12 kg/s. determine (a) the change in kinetic energy, (b) the power output, and (c) the turbine inlet area