Problem 4 The working gas of a thermodynamic cycle is a diatomic gas (assume constant specific heats.) The gas originally starts at 100kPa, 3m 3 and 27° C. It undergoes a four-step process •Process A-B: The gas is compressed at constant temperature to 450kPa. •Process B-C: The volume of the gas is then tripled at constant pressure. Process C-D: The gas then undergoes an adiabatic expansion. •Process D-A: The gas then undergoes a constant volume process back to its original state a) Make a table of the temperature, pressure, volume (T, P, V) at the start of each process. b) Make a table of the change in internal energy, heat flow, work done, change in enthalpy, and change in entropy (AU, Q, W, AH & AS) during each leg of the cycle. c) Sketch well-labelled P-V & T-S diagrams (indicating processes, heat flow, work, etc.) d) Calculate the thermal efficiency of the cycle. 0.5 1. 1.5 2. 2.5 3. 3.5 500 500 450 400 350 300 250 200 150 100 50 50 0.5 1. 1.5 2. 2.5 3. 3.5 450 400 350 300 250 200 150 100 50 50 3 of 5 450 400 350 300 250 200 150 100 50 50 1000 ********* 2.5 3.5 500 450 400 350 300 250 200 150 100 50 0.5 1. 1.5 2. 2.5 3. 3.5 900 800 700 1000 900 800 700 600 600 500 500 400 400 300 300 200 100 200 100
Problem 4 The working gas of a thermodynamic cycle is a diatomic gas (assume constant specific heats.) The gas originally starts at 100kPa, 3m 3 and 27° C. It undergoes a four-step process •Process A-B: The gas is compressed at constant temperature to 450kPa. •Process B-C: The volume of the gas is then tripled at constant pressure. Process C-D: The gas then undergoes an adiabatic expansion. •Process D-A: The gas then undergoes a constant volume process back to its original state a) Make a table of the temperature, pressure, volume (T, P, V) at the start of each process. b) Make a table of the change in internal energy, heat flow, work done, change in enthalpy, and change in entropy (AU, Q, W, AH & AS) during each leg of the cycle. c) Sketch well-labelled P-V & T-S diagrams (indicating processes, heat flow, work, etc.) d) Calculate the thermal efficiency of the cycle. 0.5 1. 1.5 2. 2.5 3. 3.5 500 500 450 400 350 300 250 200 150 100 50 50 0.5 1. 1.5 2. 2.5 3. 3.5 450 400 350 300 250 200 150 100 50 50 3 of 5 450 400 350 300 250 200 150 100 50 50 1000 ********* 2.5 3.5 500 450 400 350 300 250 200 150 100 50 0.5 1. 1.5 2. 2.5 3. 3.5 900 800 700 1000 900 800 700 600 600 500 500 400 400 300 300 200 100 200 100
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.75P: Referring to Problem 1.74, how many kilograms of ice can a 3-ton refrigeration unit produce in a...
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Transcribed Image Text:Problem 4
The working gas of a thermodynamic cycle is a diatomic gas (assume constant specific heats.) The gas originally
starts at 100kPa, 3m 3 and 27° C. It undergoes a four-step process
•Process A-B: The gas is compressed at constant temperature to 450kPa.
•Process B-C: The volume of the gas is then tripled at constant pressure.
Process C-D: The gas then undergoes an adiabatic expansion.
•Process D-A: The gas then undergoes a constant volume process back to its original state
a) Make a table of the temperature, pressure, volume (T, P, V) at the start of each process.
b) Make a table of the change in internal energy, heat flow, work done, change in enthalpy, and change in
entropy (AU, Q, W, AH & AS) during each leg of the cycle.
c) Sketch well-labelled P-V & T-S diagrams (indicating processes, heat flow, work, etc.)
d) Calculate the thermal efficiency of the cycle.
0.5
1.
1.5
2.
2.5
3.
3.5
500
500
450
400
350
300
250
200
150
100
50
50
0.5
1.
1.5
2.
2.5
3.
3.5
450
400
350
300
250
200
150
100
50
50
Transcribed Image Text:3 of 5
450
400
350
300
250
200
150
100
50
50
1000
*********
2.5
3.5
500
450
400
350
300
250
200
150
100
50
0.5
1.
1.5
2.
2.5
3.
3.5
900
800
700
1000
900
800
700
600
600
500
500
400
400
300
300
200
100
200
100
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