Part A: 10 moles of ideal gas initially at 10 atm and 250 K is expanded isothermally and reversibly to a final pressure of 2 atm. Calculate W, AU, and Q in Joules.

University Physics Volume 2
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Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 54P: Two moles of a monatomic ideal gas at (5 MPa, 5 L) is expanded isothermally until the volume is...
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Part A: 10 moles of ideal gas initially at 10 atm and 250 K is expanded isothermally and reversibly to a
final pressure of 2 atm. Calculate W, AU, and Q in Joules.
Part B: The same gas in problem A, starting in the same initial state, is expanded isothermally against a
constant external pressure of 2 atm, to a final pressure of 2 atm. Calculate W, AU, and Q in Joules for
this irreversible process.
Part C: The same gas in part B, starting in the same initial state, is expanded isothermally to a final
pressure of 2 atm. The process is carried out in 4 stages. First the gas is expanded against a constant
pressure of 8 atm, to 8 atm. Then the gas is expanded against a constant pressure of 6 atm, to 6 atm.
Then the gas is expanded against a constant pressure of 4 atm, to 4 atm. Finally, the gas is expanded
against a constant pressure of 2 atm, to 2 atm. Calculate w, AU, and Q in Joules for the 4-step process.
How do your answers compare to those you obtained for problems 5 and 6 above?
Transcribed Image Text:Part A: 10 moles of ideal gas initially at 10 atm and 250 K is expanded isothermally and reversibly to a final pressure of 2 atm. Calculate W, AU, and Q in Joules. Part B: The same gas in problem A, starting in the same initial state, is expanded isothermally against a constant external pressure of 2 atm, to a final pressure of 2 atm. Calculate W, AU, and Q in Joules for this irreversible process. Part C: The same gas in part B, starting in the same initial state, is expanded isothermally to a final pressure of 2 atm. The process is carried out in 4 stages. First the gas is expanded against a constant pressure of 8 atm, to 8 atm. Then the gas is expanded against a constant pressure of 6 atm, to 6 atm. Then the gas is expanded against a constant pressure of 4 atm, to 4 atm. Finally, the gas is expanded against a constant pressure of 2 atm, to 2 atm. Calculate w, AU, and Q in Joules for the 4-step process. How do your answers compare to those you obtained for problems 5 and 6 above?
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