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Two things can have the same temperature but different heats if they have different specific heats. For example, water has a specific heat of 1 joule per gram per degree. Iron has a specific heat of 0.45 joules per gram per degree. So, if you had 1 gram of water and 1 gram of iron, both at 25º, and you added 1 joule of energy, the temperature of water would go up 1 degree to 26º, but the temperature of iron would go up 2.2 degrees to 27.2º.

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