Help with entropy change question

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The discussion revolves around a question about entropy change in a thermodynamic system involving two subsystems. The user seeks clarification on whether energy is conserved and if the subsystems can exchange energy with the external environment. There is uncertainty regarding the assumptions about volume changes and pressure conditions of the ideal gas involved. The user presumes that the volumes remain constant as the subsystems undergo temperature changes. Overall, the focus is on understanding the principles of energy conservation and entropy in the context of ideal gases.
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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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