Help with entropy change question

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The discussion revolves around understanding entropy change in a thermodynamic system involving two subsystems. The key question posed is whether energy is conserved within the system and if the subsystems can exchange energy with the external environment. The user expresses uncertainty about how to approach the problem, particularly regarding the assumptions of volume and pressure in relation to ideal gas behavior, as defined by the equation PV=NkT.

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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).
 

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