Ideal Gas Law (Thermal Physics)

AI Thread Summary
The discussion revolves around a problem involving two connected vessels with different volumes and temperatures, seeking to determine the final pressure. Participants express difficulty in applying the ideal gas law (PV=nRT) due to insufficient information about the initial pressure. Suggestions include using the combined gas law or Gay-Lussac's law instead, as these may be more appropriate for the scenario. It is noted that since the vessels are connected, the pressure in both must ultimately equalize. Clarification on the correct approach is sought from those with more recent experience in thermal physics.
blackz
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guys, I'm having difficulty in solving this problem.

Two vessels, one having 3 times volume of the other, are connected through narrow tube of negligible volume. The initial temperature is 290K. The small vessel is then cooled down to 250K while the large vessel is heated up to 400K. What is the final pressure?

Please help me with this. Any pointer will do. Thanks

I tried to use the equation of state (PV=nRT) of both vessel but I could not get the answer. All i get is the ratio between the final mass of small vessel and the final mass of large vessel.
 
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I don't think that you have sufficient information to solve the problem because no information about the initial pressure is given. Also, I don't believe that the ideal gas law is the correct law to apply in this case, even if you were to be given the initial pressure. I think that application of either the combined gas law or Gay-Lussac's law would be better. Additionally, the two containers are connected so the pressure in each of the containers should be equal (I think). It's been a while since I've done chemistry or thermal physics so maybe someone else will clear this up.
 
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