Knowing Avogadro's number explain why the sky is blue.
The question regarding Avogadro's number and the blue sky is actually a fairly famous question from Physical Chemistry.
If I remember correctly, it is an approximation that has to do with the relationship to mole, Standard Temperature and Pressure (STP), the fact that one mole of gas occupies a 22.4 liters at STP, and the distance between the gas molecules as related to wavelength and scattering. A back calculation is pe
As a chemical engineering student taking physical chemistry, this was one question on a test of mine at Oregon State University. If I remember correctly, our question was actually: "By the knowledge that the sky is blue, derive Avogrado's number."
I know this post is old, but I thought I would add my two cents. Actually, I only have a cent now.