Physics- Pressure Problem , help

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Homework Help Overview

The discussion revolves around a pressure problem involving two gas containers at different temperatures and pressures. Participants are tasked with finding the final pressure after connecting the containers and allowing the system to reach equilibrium.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the ideal gas law and the need to account for the final volume and temperature in their calculations. There is an attempt to set up equations based on the initial conditions of the gas in both containers.

Discussion Status

Some participants have proposed equations to relate the pressures, volumes, and temperatures, while others express uncertainty about the correct approach and the use of final volume in their calculations. There is an ongoing exploration of the relationships between the variables involved.

Contextual Notes

Participants are working under the assumption that the connecting tube has negligible volume and mass, which may influence their calculations. There is also a mention of a diagram that is referenced but not provided in the discussion.

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Two containers contain the same gas at different temperatures and pressures, as indicated in the figure. The small container has a volume of 1 L, and the large container has a volume of 2 L. The two containers are then connected to each other using a thin tube, and the pressure and temperature in both containers are allowed to equalize. If the final temperature is 321 K, what is the final pressure? Assume that the connecting tube has negligible volume and mass.


Attempt : Pf Vf / 321 =( 3 x 10^5 )(2L) / 600 + (2 X 10^5)(1L) / 200


I am stuck here , can't solve it . I tried solving for the variable didn't get the right answer.


Here is the diagram :
 

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[tex]\frac{(Pf)(V)}{T}[/tex] = [tex]\frac{(P1)(V1)}{T1}[/tex] + [tex]\frac{(P2)(V2)}{T2}[/tex]

Got it from there?
 
Yeah, how do I go about it?
 
Did you use 3L as the final volume.

Looks like you get one eq. w/ one variable.
 

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