Ideal Gas Law (Thermal Physics)

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SUMMARY

The discussion centers on solving a thermal physics problem involving two connected gas vessels with differing temperatures and volumes. The Ideal Gas Law (PV=nRT) was initially considered, but participants concluded that the Combined Gas Law or Gay-Lussac's Law would be more appropriate due to the lack of initial pressure data. It was established that the pressure in both vessels must be equal since they are connected. The final pressure can be determined by applying the correct gas law principles to the given conditions.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Familiarity with the Combined Gas Law
  • Knowledge of Gay-Lussac's Law
  • Basic concepts of thermal physics and gas behavior
NEXT STEPS
  • Study the Combined Gas Law and its applications in thermal physics
  • Learn about Gay-Lussac's Law and how it relates to pressure and temperature changes
  • Explore the concept of gas mixtures and pressure equalization in connected vessels
  • Review problem-solving techniques for gas law applications in various scenarios
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Students of thermal physics, chemistry enthusiasts, and anyone looking to deepen their understanding of gas laws and their applications in real-world scenarios.

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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