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It takes energy to alter temperature, and it also takes energy to change state, at least in the direction of more energetic states, which is to say, to melt a solid or to vaporize a liquid. If energy is being consumed by the change of state itself, then there is no energy available to change the temperature. So the temperature remains constant. In practice, this means for example that things boil at the boiling point. Boiling water is always exactly 100o Celsius. It can get no hotter until it is all boiled. The steam, of course, can then get hotter.

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