1. Homework Statement
Three thermally insulated containers of equal volume are connected together by thin tubes of negligible volume so that gas can flow from one container to the next when a valve between them is open. Initially, the pressure and temperature in each container is at the same value Po and To, respectively.
The valves between the vessels are opened, and thermal insulation is removed from two of the vessels. Then two vessels are surrounded by heat reservoirs so that their temperatures are maintained at 2To and 2.3To while the third remains at To. What is the final pressure of the system when mechanical equilibrium is reached?
P0/T0 = P1/T1 = P2/T2 .....[/B]
The Attempt at a Solution
Very stuck. Sorry for bad english
This problem was labeled in my text as a quick easy review, however I cannot seem to make any progress as to solve it. The answer given is 1.55Po.
My initial attempt was to work with PV=nRT, and try to relate the individual "new" pressures to their old pressures, then proceed to sum them up.
Meaning, I was told they each originally had P0/T0 , so for vessel one, I set this equal to
P1/2T0 . I did this for the remaining cases and solved the new pressures in terms of Po, however I soon got stuck and it didn't lead me anywhere.