How Do You Calculate Final Pressure in Connected Gas Containers?

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To calculate the final pressure in connected gas containers, the ideal gas law is applied, specifically using the equation P1V1/T1 = P2V2/T2. The initial pressures and temperatures for both containers are provided, with the final temperature set at 219 K. An attempt to solve for the final pressure (Pf) yielded an incorrect result, indicating a possible misapplication of the equations. Key considerations include determining the total amount of gas after connecting the tanks and the total volume of the system. Accurate calculations are essential to ensure the final pressure falls within the expected range of the initial pressures.
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Homework Statement



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 219 K, what is the pressure.

Givens :
P1 = 3 x10 ^ 5
P2 = 2 x 10 ^5
T1 = 600k
T2 = 200K

Homework Equations


P1V1/T1 = P2V2/T2

The Attempt at a Solution



I used this equation to find final pressure
P1V1/T1 = PfVf / Tf
i solved for Pf and I got like 7300. I know the answer has to be between the given pressures but I don't think I am using the right equation. I also used this equation which i made up P1V1/T1 + P2V2/T2 = PfVf/Tf ---> which didnt work any advice or tips
 
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what units is the pressure given in?
 
What is total amount of gas after connecting the tanks? What is total volume?
 
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