A steam turbine operates with 2 MPa and 400°C steam at its inlet and saturated vapor at 40°C at its exit. The mass flow rate of the steam is 25 kg/s, and the turbine produces 12 MW of power. Determine the rate at which heat is lost through the casing of this turbine. (Answer: 4872.5 kW)

Steam flows steadily through an adiabatic turbine. The inlet conditions of the steam are 10MPa, 400°C, and 100 m/s, and the exit conditions are 10 kPa, 89N percent quality, and 50m/s. The mass flow rate of the steam is 19N kg/s. Determine (a) the change in kinetic energy,(b) the power output, and (c) the turbine inlet area.

Air enters the compressor of a gas turbine plant at ambient conditions of 100 kPa and 25 ⁰C with a low velocity and exits at 1 MPa and 347 ⁰C with a velocity of 90 m/s. The compression process is adiabatic, and the power input is 271. Determine the mass flowrate of the air through the compressor.

Steam at 400°C and 800 kPa enters a nozzle with a velocity of 10 m/s and leaves at 300°C and 200 kPa while losing heat at a rate of 25 kW. For an inlet area of 800 cm2, determine the velocity and volumetric flow rate of steam at the nozzle outlet.