Gas in tank exposed to a vacuum

GZunich

1. The problem statement, all variables and given/known data
A tank is equally divided into two equal halves, one a vacuum and one filled with argon gas at 298K and 700 bar. The divider bursts and the gas equally disperses throughout the tank. What is the new T and P of the gas assuming argon is an ideal gas?


2. Relevant equations
PV=nRT P1V1/T1=P2V2/T2


3. The attempt at a solution
I assumed there was no temperature change which I am unsure of but using that logic, P=350 bar and T=298K

rude man

Begin with the definiton of an ideal gas. Hint: it's more than just pV = nRT.
What can you say about the dependence of U, internal energy, as a function of p,V and/or T?
Then go with the first law and show that you get the same results whether the free expansion is adiabatic or isothermal or anything inbetween.

rude man

You can't make that assumption unless you can prove it.

Begin with the definiton of an ideal gas. Hint: it's more than just pV = nRT.

What can you say about the dependence of U, internal energy, as a function of p,V and/or T?

Then go with the first law and determine if you get the same results whether the free expansion is adiabatic or isothermal or anything inbetween.