2. A heat engine performs the cycle ABCA with 9 moles of an ideal gas. Path CA is an adiabatic process. Temperatures at A, B, C are shown on the diagram, as are the volumes at A, B, C. (y = 1.6 for this gas.) a. Find the pressures (in Pa) for states A, B, and C. b. How much heat is absorbed by the gas in the AB process of the cycle? c. How much heat is rejected by the gas in process BC? d. How much heat is exchanged by the gas in process CA? e. What is the total work done in the entire cycle? f. What is the thermal efficiency of the engine? g. How does the result in part (f). compare with the efficiency of a Carnot engine operating between the same maximum and minimum temperatures? (300 K) (500 K) в C (220 K) V (m') 0.12 0.20

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Chapter9: Condensed Matter Physics
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Is this the correct way to solve for W(ca)
Wca= Pa Va - Pc Ve
(1.87.10) (0.12) - [8. 261104)CO.20]
Wca=
1- 1.60
Pc =nRT
Vc
Wca: -9.87x0 ³J
= (9)(8.314) (500)
(0.2)
Pc = 8. 26 el0"
pa
Transcribed Image Text:Wca= Pa Va - Pc Ve (1.87.10) (0.12) - [8. 261104)CO.20] Wca= 1- 1.60 Pc =nRT Vc Wca: -9.87x0 ³J = (9)(8.314) (500) (0.2) Pc = 8. 26 el0" pa
2. A heat engine performs the cycle ABCA with 9 moles of an ideal gas. Path CA is an
adiabatic process. Temperatures at A, B, C are shown on the diagram, as are the
volumes at A, B, C.
(y = 1.6 for this gas.)
a. Find the pressures (in Pa) for states A, B, and C.
b. How much heat is absorbed by the gas in the AB process of the cycle?
c. How much heat is rejected by the gas in process BC?
d. How much heat is exchanged by the gas in process CA?
e. What is the total work done in the entire cycle?
f. What is the thermal efficiency of the engine?
g. How does the result in part (f). compare with the efficiency of a Carnot engine
operating between the same maximum and minimum temperatures?
PA
(300 K)
(500 K)
в
C (220 K)
V (m')
0.12
0.20
Transcribed Image Text:2. A heat engine performs the cycle ABCA with 9 moles of an ideal gas. Path CA is an adiabatic process. Temperatures at A, B, C are shown on the diagram, as are the volumes at A, B, C. (y = 1.6 for this gas.) a. Find the pressures (in Pa) for states A, B, and C. b. How much heat is absorbed by the gas in the AB process of the cycle? c. How much heat is rejected by the gas in process BC? d. How much heat is exchanged by the gas in process CA? e. What is the total work done in the entire cycle? f. What is the thermal efficiency of the engine? g. How does the result in part (f). compare with the efficiency of a Carnot engine operating between the same maximum and minimum temperatures? PA (300 K) (500 K) в C (220 K) V (m') 0.12 0.20
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