In: Other
Water in a piston-cylinder assembly is at 1 MPa, 500◦C. There are two stops, a lower one at which Vmin = 1 m3 and an upper one at Vmax = 3 m3. The piston is loaded with a mass and outside atmosphere such that it floats when the pressure is 500 kPa. This setup is now cooled to 100◦C by rejecting heat to the surroundings at 20◦C. a. Show the path of the process on T-V and P-V diagrams. b. Determine the heat transferred and work done during this process.
All the values stated taken from the steam table
State 1
At 1 MPa, 500°C
Specific volume v1 = 0.35411 m3/kg
Internal energy U1 = 3124.3 kJ/kg
Entropy s1 = 7.7621 kJ/kg-K
Mass of water = volume /Specific volume
= 3/0.35411 = 8.472 kg
T-V and P-V diagrams are shown below
Final state at 100°C
Work done during the process
heat transfer