Consider a classical ideal gas of N point particles, that is compressed and then expanded, as shown in the diagram below. The gas starts at point A in the p- V diagram, with volume Vị at temperature T1. It is then isothermally compressed (i.e. at constant temperature) to volume V2, denoted point B on the diagram. The gas is then adiabatically expanded (i.e. at constant entropy) back to volume V1, denoted point C on the diagram. What is the final temperature T2 at point C? Express your answer in terms of T, V1, and V2. V, V, It might help you to know that the entropy S of an ideal gas is 4)"G)G)"] 3/2 -5/27 S(E,V, N) = () So + Nkg ln Eo No where E, V, N are the total energy, total volume, and total number of particles, and Eo, Vo, No, So are constants.
Consider a classical ideal gas of N point particles, that is compressed and then expanded, as shown in the diagram below. The gas starts at point A in the p- V diagram, with volume Vị at temperature T1. It is then isothermally compressed (i.e. at constant temperature) to volume V2, denoted point B on the diagram. The gas is then adiabatically expanded (i.e. at constant entropy) back to volume V1, denoted point C on the diagram. What is the final temperature T2 at point C? Express your answer in terms of T, V1, and V2. V, V, It might help you to know that the entropy S of an ideal gas is 4)"G)G)"] 3/2 -5/27 S(E,V, N) = () So + Nkg ln Eo No where E, V, N are the total energy, total volume, and total number of particles, and Eo, Vo, No, So are constants.
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It's a Statistical Mechanics question.
![Consider a classical ideal gas of N point particles, that is compressed and then expanded, as
shown in the diagram below. The gas starts at point A in the p- V diagram, with volume
Vị at temperature T1. It is then isothermally compressed (i.e. at constant temperature) to
volume V2, denoted point B on the diagram. The gas is then adiabatically expanded (i.e. at
constant entropy) back to volume V1, denoted point C on the diagram. What is the final
temperature T2 at point C? Express your answer in terms of T, V1, and V2.
V,
V,
It might help you to know that the entropy S of an ideal gas is
4)"G)G)"]
3/2
-5/27
S(E,V, N) = ()
So + Nkg ln
Eo
No
where E, V, N are the total energy, total volume, and total number of particles, and Eo, Vo,
No, So are constants.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9faf22f-10a8-4cb5-bec9-d63452f6293a%2F64771a09-1ae5-4b25-a14c-d5ab0786040f%2Fxibggrb.png&w=3840&q=75)
Transcribed Image Text:Consider a classical ideal gas of N point particles, that is compressed and then expanded, as
shown in the diagram below. The gas starts at point A in the p- V diagram, with volume
Vị at temperature T1. It is then isothermally compressed (i.e. at constant temperature) to
volume V2, denoted point B on the diagram. The gas is then adiabatically expanded (i.e. at
constant entropy) back to volume V1, denoted point C on the diagram. What is the final
temperature T2 at point C? Express your answer in terms of T, V1, and V2.
V,
V,
It might help you to know that the entropy S of an ideal gas is
4)"G)G)"]
3/2
-5/27
S(E,V, N) = ()
So + Nkg ln
Eo
No
where E, V, N are the total energy, total volume, and total number of particles, and Eo, Vo,
No, So are constants.
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