Question

Why heat capacity is extensive but molar heat capacity is extensive?

Answer 1

Heat capacity is the amount of energy required to raise an arbitrary amount of a substance by 1oC. It does not specify how much of the substance we are talking about. Therefore heat capacity is dependent on how much substance is present. That is the definition of an extensive property, such as volume or mass. The specific heat capacity or molar heat capacity is the amount of energy required to raise 1 gram or 1 mole of a substance 1oC. It is specifically 1 gram or 1 mole and is therefore a property of the substance itself. It does not depend on how much material is present. That is the definition of an intensive property, similar to density.


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