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## Homework Statement

'A closed cylinder containing a perfect gas at 300K is divided into two parts A and B of equal volume, V

_{0}by a freely moveable close-fitting piston. The gas in B is then heated to 400K but that in A is maintained at 300K. Show that the final volume of the gas in B, V

_{bf}= 8/7V

_{0}.'

## Homework Equations

P

_{1}V

_{1}/T

_{1}=P

_{2}V

_{2}/T

_{2}

P

_{1}V

_{1}=P

_{2}V

_{2}

2V

_{0}-V

_{af}=V

_{bf}

## The Attempt at a Solution

Not really sure, just continually messing about with the above equations with no substantial progress. Obviously two equations, one for Gas A and Gas B. Would really appreciate any help, thanks.