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As long as there is no phase change in a substance, the temperature is ______ proportional to the addition of heat.

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Temperature is said to be directly proportional to the heat addition. However, this is only true when a phase change is not involved in the substance. As heat is being added to a substance, the kinetic energy of the molecules would rise up as well and more heat would be felt in a macroscale. Therefore, increasing the measured temperature of the substance.
User Bertram Nudelbach
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