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Water in a piston-cylinder assembly is at 1 MPa, 500◦C. There are two stops, a lower...

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.

Solutions

Expert Solution

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

Amanda K answered 2 years ago
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