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The reaction is not isolated and takes place in a heat reservoir. This way, even if the reaction is exothermic, the overall temperature will remain the same at the beginning and the end of the reaction.
The delta T is essentially 0 because of the heat resevoir. When we talk about isothermal reversible expansion, isothermal refers to a constant "same" temperature even though as stated above their is a slight change in temp that is quickly replaced by the surroundings.
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