A piston contains 320 moles of an ideal monatomic gas that initally has a pressure of 2.38 x 10* Pa and a volume of 1.8 m'. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle accepting energy from the hot reservoir and exhausting energy into the cold reservoir. 1. The pressure of the gas is increased to 5.38 x 10° Pa while maintaining a constant volume. 2. The volume of the gas is increased to 8.8 m while maintaining a constant pressure. 3. The pressure of the gas is decreased to 2.38 x 10° Pa while maintaining a constant volume. 4. The volume of the gas is decreased to 1.8 m while maintaining a constant pressure. It may help you to recall that Cv 12.47 J/K/mole and Cp- 20.79 J/K/mole for a monatomic ideal gas, and that the number of gas molecules is equal to Avagadros number (6.022 x 102) times the number of moles of the gas. 1) How much energy is transferred into the gas from the hot reservoir? Submit You currently have 0 submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question. 2) How much energy is transferred out of the gas into the cold reservoir? Submit You currently have 0 submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question. 3) How much work is done by the gas? Submit You currently have 0 submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question. 4) What is the efficiency of this cycle? Submit You currently have 0 submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question.

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Chapter1: Basic Modes Of Heat Transfer
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Rectangular PV Cycle
1234
A piston contains 320 moles of an ideal monatomic gas that initally has a pressure of 2.38 x 10° Pa and a volume of 1.8
m. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle
accepting energy from the hot reservoir and exhausting energy into the cold reservoir.
1. The pressure of the gas is increased to 5.38 x 10° Pa while maintaining a constant volume.
2. The volume of the gas is increased to 8.8 m³ while maintaining a constant pressure.
3. The pressure of the gas is decreased to 2.38 x 10° Pa while maintaining a constant volume.
4. The volume of the gas is decreased to 1.8 m³ while maintaining a constant pressure.
It may help you to recall that Cv = 12.47 J/K/mole and Cp = 20.79 J/K/mole for a monatomic ideal gas, and that the
number of gas molecules is equal to Avagadros number (6.022 x 1023) times the number of moles of the gas.
1) How much energy is transferred into the gas from the hot reservoir?
Submit
You currently have O submissions for this question. Only 4 submission are allowed.
You can make 4 more submissions for this question.
2) How much energy is transferred out of the gas into the cold reservoir?
Submit
You currently have 0 submissions for this question. Only 4 submission are allowed.
You can make 4 more submissions for this question.
3) How much work is done by the gas?
Submit
You currently have O submissions for this question. Only 4 submission are allowed.
You can make 4 more submissions for this question.
4) What is the efficiency of this cycle?
Submit
You currently have O submissions for this question. Only 4 submission are allowed.
You can make 4 more submissions for this question.
Transcribed Image Text:Rectangular PV Cycle 1234 A piston contains 320 moles of an ideal monatomic gas that initally has a pressure of 2.38 x 10° Pa and a volume of 1.8 m. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle accepting energy from the hot reservoir and exhausting energy into the cold reservoir. 1. The pressure of the gas is increased to 5.38 x 10° Pa while maintaining a constant volume. 2. The volume of the gas is increased to 8.8 m³ while maintaining a constant pressure. 3. The pressure of the gas is decreased to 2.38 x 10° Pa while maintaining a constant volume. 4. The volume of the gas is decreased to 1.8 m³ while maintaining a constant pressure. It may help you to recall that Cv = 12.47 J/K/mole and Cp = 20.79 J/K/mole for a monatomic ideal gas, and that the number of gas molecules is equal to Avagadros number (6.022 x 1023) times the number of moles of the gas. 1) How much energy is transferred into the gas from the hot reservoir? Submit You currently have O submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question. 2) How much energy is transferred out of the gas into the cold reservoir? Submit You currently have 0 submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question. 3) How much work is done by the gas? Submit You currently have O submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question. 4) What is the efficiency of this cycle? Submit You currently have O submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question.
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