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Stiibe
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Hey there. We are struggling with a problem from an old exam about statistical mechanics. I hope you can help us or give any clues. Here is the problem.
A chamber is divided by a wall into two sections of equal volume. One section of the chamber is initially filled by an ideal gas at temperature T0, whereas the other section is empty. Then, a small hole is opened in the dividing wall such that the gas can flow through, until equilibrium is reached. Consider the chamber isolated towards the surrounding and no heat is exchanged with the walls.
a) What is the final Temperature of the system?b)How does the result change if instead initially the chamber is filled with a Van der Waals gas?
Any thermodynamical equation.
We tried to solve the problem by using the entropy. Since thermal equilibrium is reached, wehn the entropy is maximized.
Homework Statement
A chamber is divided by a wall into two sections of equal volume. One section of the chamber is initially filled by an ideal gas at temperature T0, whereas the other section is empty. Then, a small hole is opened in the dividing wall such that the gas can flow through, until equilibrium is reached. Consider the chamber isolated towards the surrounding and no heat is exchanged with the walls.
a) What is the final Temperature of the system?b)How does the result change if instead initially the chamber is filled with a Van der Waals gas?
Homework Equations
Any thermodynamical equation.
The Attempt at a Solution
We tried to solve the problem by using the entropy. Since thermal equilibrium is reached, wehn the entropy is maximized.