A certain gas is contained within a piston cylinder assembly undergoes a process which is PV1.5 = constant. The initial volume is 0.50 m³/kg, the final pressure is 3.0 bar and the final volume is 0.25 m³/kg. The change in specific energy of the gas in the process is [u2 – u1] = 55 kJ/kg and the absolute magnitude of the work done is 44 kJ/kg.

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Include simple schematic , process digram , and assumption

Example 2.2 Cooling of a Gas in a Piston Cylinder
A certain gas is contained within a piston cylinder assembly undergoes a
process which is PV1.5 = constant. The initial volume is 0.50 m³/kg, the final
is 3.0 bar and the final volume is 0.25 m³/kg. The change in specific energy of the gas
in the process is [u2 – u1] = 55 kJ/kg and the absolute magnitude of the work done is
44 kJ/kg.
pressure
Schematic:
Process Diagram:
Assume:
|
1. The initial pressure P1 in kPa is
а. 1.06
b. 10.6
с. 106
d. cannot be determined.
2. The heat transfer 1q2 for the process in kJ/kg is
а. -11.0
b.
0.0
с.
11.0
d. cannot be determined.
3. The work 1w2 for an isobaric process at P2 between the same end states in kJ/kg is
а. -75
b. -44
с. -30
d. cannot be determined.
4. The work 1W2 for the original process with m = 0.4 kg in kJ is
а. -30.0
b. -20.8
с. -17.6
d. cannot be determined.
5. The heat transfer 1Q2 for the original process with m = 0.4 kg in kJ is
а. +4.4
b. -4.4
с.
-11.0
d. cannot be determined.
Transcribed Image Text:Example 2.2 Cooling of a Gas in a Piston Cylinder A certain gas is contained within a piston cylinder assembly undergoes a process which is PV1.5 = constant. The initial volume is 0.50 m³/kg, the final is 3.0 bar and the final volume is 0.25 m³/kg. The change in specific energy of the gas in the process is [u2 – u1] = 55 kJ/kg and the absolute magnitude of the work done is 44 kJ/kg. pressure Schematic: Process Diagram: Assume: | 1. The initial pressure P1 in kPa is а. 1.06 b. 10.6 с. 106 d. cannot be determined. 2. The heat transfer 1q2 for the process in kJ/kg is а. -11.0 b. 0.0 с. 11.0 d. cannot be determined. 3. The work 1w2 for an isobaric process at P2 between the same end states in kJ/kg is а. -75 b. -44 с. -30 d. cannot be determined. 4. The work 1W2 for the original process with m = 0.4 kg in kJ is а. -30.0 b. -20.8 с. -17.6 d. cannot be determined. 5. The heat transfer 1Q2 for the original process with m = 0.4 kg in kJ is а. +4.4 b. -4.4 с. -11.0 d. cannot be determined.
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