How Does the Kinetic Theory of Gases Explain Gas Movement in a Cylinder?

AI Thread Summary
The discussion focuses on applying the kinetic theory of gases to analyze gas movement in a cylinder divided by a membrane. The cylinder contains nitrogen at double the pressure of oxygen, prompting questions about the resulting motion once the membrane is removed. Participants emphasize the importance of understanding molecular densities and masses, as well as the center of mass before and after the membrane's removal. The ideal gas law (PV=nRT) is referenced to clarify the relationship between pressure, volume, and molecular density. Overall, the conversation centers on using kinetic theory principles to predict the cylinder's movement based on gas properties.
Seiya
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Kinetic Theory of Gases... Little help please :)

Hey, i didnt seem to have trouble with any other questions except this one... all i could figure out is that i somehow must use the kinetic theory of gases?
A massless cylinder 34 cm long rests on a horizontal frictionless table. The cylinder is divided into two equal sections by a membrane. One section contains nitrogen and the other contains oxygen. The pressure of the nitrogen is twice that of the oxygen. How far will the cylinder move if the membrane is removed?
I tried setting 2pv= 2N(1/2mvx^2)av and divide it by pv= 2N(1/2mvx^2)
well i don't really know any advice appreciated :|
 
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Where is the center of mass before the membrane is removed and then after?

At the same temperature and same volume, what are the relative molecular densities of N2 and O2. Think PV=nRT.

Note also the difference in molecular masses.
 
Got it, thanks
 
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