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Free energy of mixing in non-isothermal free expansion

Page history last edited by Joe Redish 7 years, 1 month ago

7.3.3.P9

 

Assume we have one mole each of two different weakly-interacting gases in identical thermally-insulated glass balls on either side of a valve as shown in the top figure at the right. The gas on the left is at a temperature of 300 K while the gas on the right is at a temperature of 400 K.

 

A. Before the valve is opened, can you tell which side has the higher pressure, or are they the same? If you can, indicate which and explain how you know. If you can’t, explain which you can’t.

 

B. Before the valve is opened, can you tell which side has the higher internal energy, or are they the same? If you can, indicate which and explain how you know. If you can’t, explain why you can’t.

 

 

C. Before the valve is opened, can you tell which side has the higher entropy, or are they the same? If you can, indicate which and explain how you know. If you can’t, explain why you can’t.

 

D. When the valve is opened, what happens to the entropy of the system? If you can, indicate how it changes and explain how you know. If you can’t, explain why you can’t.

 

E. When the valve is opened, what happens to the free energy of the system? If you can, indicate how it changes and explain how you know. If you can’t, explain why you can’t.

 

 

Ben Geller and Joe Redish 12/19/12

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