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From a mathematical point of view, F is an extensive quantity if, for all ,
where V is volume and N is number of particles. Thus, extensive quantities are homogeneous functions (of degree 1) of volume and particle number.
Extensive quantities should be contrasted with intensive quantities, which are intrinsic to the system and remain constant regardless of the size of the system. Dividing one extensive quantity by another will give an intensive quantity.
Some examples of extensive thermodynamic quantities are