Intensive and extensive properties

[iScience]

My prof was going over some definitions and he made a statement about ratios of extensive properties, he said:


$$\frac{Extensive}{Extensive}=Intensive$$

But could someone confirm for me that this is only true if I'm doing this with the same extensive property.

In other words, as a general statement, if the ext. property on the numerator is different from the ext. property on the denominator, then this is not true right?

 

[Doug Huffman]

No, it is not only true for the same extensive property.

It is true for all scale-invariant extensive properties, for instance, the ratio of mass and volume extensives is density, an intensive.

You can add up extensives with more stuff, but an intensive is the same for all of that stuff.