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Because neither energy nor matter can be added to system, nor can it leave the container. Just because a system is isolated does not mean that it cannot have heat or energy already in the system, but rather that it cannot be lost/gained.
Christina Cen 2J wrote:So in this question, is the system considered the contents of the cooler as well as the cooler itself, rather than just the contents being the system?
In this question, the contents of the cooler alone should be considered the system. The cooler itself should be considered the surrounding. Since the cooler is "ideal" however, we would assume that the cooler is adiabatic, meaning heat cannot enter and leave through it. As a result, any heat in the system (contents of cooler) stays solely inside the system.
I think that part of it is that the cooler is most likely an electric one that works like a fridge rather than a styrofoam cooler which is more likely to be affected by the temperature of the environment.
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