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Calorimeter problems are designed to evaluate reactions in an isolated system so it is understood that there is no interaction with the surroundings. This makes the heat gained/released of the elements inside equal to the heat gained/released by the calorimeter.
I think it would be considered an isolated system because the reaction must not lose heat to the environment in order for us to make calculations. If it was able to exchange energy as heat (like one and closed systems can), measuring the heat of the reaction would be impossible.
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