21 Due 4/24

  1. A compressor takes in saturated steam (free of water droplets) at 1000 kPa and compresses it to 17.5 MPa and 650$\POW9,{\circ}$C.
    1. Show the process in both the $Pv$ and $Ts$ diagrams. Also show the process of the comparable ideal compressor in the diagrams. Also show and mark the 1000 kPa and 17.5 MPa isobars and the 650$\POW9,{\circ}$C isotherm in the diagrams.
    2. Find the enthalpy and entropy at 17.5 MPa by averaging between 15MPa and 20 MPa in B.1.3 for the following temperatures: 550$\POW9,{\circ}$C, 600$\POW9,{\circ}$C, and 650$\POW9,{\circ}$C.
    3. Find the isentropic efficiency.
    4. Find the total entropy production.

  2. Air is blown into a well insulated turbine at 1227$\POW9,{\circ}$C and 1 MPa and exits at 100kPa. The isentropic efficiency is 85%. Find the work produced by the turbine and the total entropy generated.

  3. Air enters an adiabatic compressor with an isentropic efficiency of 70% at 100 kPa and 293 K, at the rate of 2 kg/s and exits at 473 K. What is the power required to run the compressor and its exit pressure. Use constant specific heats from A.5, not A.7.1. Note: this question is a bit tricky because the exit pressure is not given. Compute the quantities in the order asked, switching to the ideal compressor at the appropriate moment.