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Many factors affect the actual change in temperature, not the least of which is the mass of each object. If one of the objects is very massive in relation to the other, it may cobtain more heat than the smaller one, even if the smaller one has a higher temperature to start with. Answer

I agree but for a different reason. Even if the objects are of identical size and mass, it seems there will be substantial loss of entropic heat, and I'm guessing that the hotter of the two will experience more loss of entropic heat than the cooler one. So the temperature changes are not likely to be the same.

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