Year 12: Cambridge Physics Problem (Thermal System)

[johnconnor]

Two cylinders A and C of equal volume V contain the same ideal gas at temperature T and at pressures 2p and p respectively. A valve connecting the two cylinders is opened slightly and as the gas leaks from A to B, the pressure in A is maintained at 2p by pushing in a piston. The process is continued until the gas in cylinder B is also at 2p. If there is good thermal contact between the cylinders but the are thermally insulated from their surroundings, find:
(i) The final temperature in terms of T
(ii) the final volume of gas in cylinder A in terms of V.

Before I attempt the question, may I ask if the final temperature will be the same for both sides of the cylinder? What about the pressure? I'm still visualising the problem. Thank you!

 

[Infinitum]

Hi johnconnor!

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Before I attempt the question, may I ask if the final temperature will be the same for both sides of the cylinder?

At equilibrium(final state) the temperatures will definitely be equal.

What about the pressure?

pressure in A is maintained at 2p by pushing in a piston. The process is continued until the gas in cylinder B is also at 2p