11 Due 2/26

1. An adiabatic turbine receives steam from two boilers. One boiler provides 10 kg/s at 5 MPa, 600$\POW9,{\circ}$C and the other provides 20 kg/s at 800 kPa, 500$\POW9,{\circ}$C. The steam exits the turbine at a pressure of 100 kPa, with a quality of 90%. Find the final temperature and the produced power.

2. A turbine takes in 2 kg/s neon at 27$\POW9,{\circ}$C and 200 kPa with negligible velocity. The produced work is 75 kW and 30 kW of heat leaks into the turbine from the surroundings. The neon exits at 100 kPa and 230 K. Find the exit velocity of the neon.

3. Engine coolant (glycerine) enters the radiator of your car with a temperature of 100$\POW9,{\circ}$C and exits it at 50$\POW9,{\circ}$C. If the coolant must remove 30 kW of heat, what must be its mass flow rate through the radiator? If the heat is carried off by ambient air at about one atmosphere that has a temperature of 15 degrees before flowing through the radiator and 35 degrees after it, what is the volume flow of the air?

4. If high pressure steam is needed for some purpose in a power generation plant, it is often bled off from the high pressure side of the turbine. This is called cogeneration. Assume a well insulated turbine takes in 50 kg/s of steam at 10 MPa and 600$\POW9,{\circ}$C, and that 10 kg/s at 400 kPa and 200$\POW9,{\circ}$C is bled off, while the remaining steam exits at 100 kPa and a quality of 0.8. Construct the phase of the bled-off steam in the $Tv$ diagram and so verify that it is indeed still steam. Find the power the turbine generates, and compare it to the power it would generate if no steam was bled off.