Quote:

Originally Posted by

**exchemist**
I should have thought that the amount of empty space per unit volume between small particles would be less than for large particles

With the same particle shape the percentage of the volume taken would be the same. So the percentage volume of randomly arranged spheres will be the same (about 65%) regardless of the size of the spheres, so the density would be the same. It's like the sugar lump problem where the question is about the volume taken by sugar cubes or cube shaped granules. They would occupy the same space. The only difference would occur at the edges but that's only significant if the space occupied is small compared to the size of the objects.

As an example, suppose you want to know the percentage of a square that is occupied by a exact fitting circle, the answer (78.5%) doesn't depend on the size.

But anyway, Zwolver is right, this is the sort of question that would be best to test out rather than guess wrong.