How Do You Calculate Final Temperatures in an Adiabatically Isolated Cylinder?

[ginger_jj]

Homework Statement

The drawing shows an adiabatically isolated cylinder that is divided initially into two identical parts by an adiabatic partition. Both sides contain one mole of a monatomic ideal gas (), with the initial temperature being 523 K on the left and 287 K on the right. The partition is then allowed to move slowly (i.e. quasi-statically) to the right, until the pressures on each side of the partition are the same. Find the final temperatures on the (a) left and (b) right sides.

http://edugen.wiley.com/edugen/courses/crs1507/art/qb/qu/c15/ch15p_92.gif

Homework Equations

I think that for this kind of problem i need to use W=3/2nRT, however I am not given any of the other variables so i am lost.

The Attempt at a Solution

 

[Doc Al]

adiabatic condition

How do pressure and volume relate during an adiabatic process? Look it up!