Entropy change in a thermodynamic process

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justinbaker
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So I am studying for finals and this is on the set of questions that our teacher told us to review.

http://imageserver4.textamerica.com/user.images.x/98/IMG_372198/_0509/T520060509170033508.jpg

so not even quite sure how to attack this one, so any help would be great, thanks
 
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Is Energy conserved in the system? That is, are the two subsystems able to exchange Energy with the "outside"?

I would presume that neither box changes its Volume as it warms or cools ...
the alternative would be to presume that they maintain equal pressure,
but pressure is not mentioned (except that an "ideal gas" has PV=NkT).