Surface Area Difference of Smaller Beads

[RJB32482]

Drawing a blank here, but could someone help me figure out the surface area difference between smaller and larger spherical beads if I know the bead diameter and bulk density of both the larger and smaller beads?

Thanks.

 

[DRWeig]

Number of beads per unit volume will decrease with the cube of the bead diameter.

Surface area of each bead will increase with the square of the bead diameter.

A cube divided by a square is linear....

So, for a constant volume:

Halve the bead diameter = double the surface area.

Quarter the bead diameter = four times the surface area.

Et cetera...

Somebody double-check me, though!

Good on ya,

Goober Dave

 

[epoisses]

Sounds right, however this assumes that the relevant surface area is the outside area of the beads, not the microporous surface area, which would be a relevant parameter if the beads were e.g. a catalyst.