How much is molecules and how much is else in 1cm3 od air?

[An00b]

Homework Statement

I will try to translate the best I can:
In 1cm3 of air, how much of it is molecules and how much is the space between them. diameter of 1 molecule is 0,1nm and is has a sphere shape.

so R=0,1nm
space=1cm3

Homework Equations

V=4/3*R³*∏
n=N/N_a=V/V₀
N_a=6,022*10²³mol^-1
V₀=22,4dm³

The Attempt at a Solution

I calculated that the V of the molecule is 4,187*10cm³ but then when I use the other formula (N/N_a=V/V₀) I get that there is less then one molecule in that space which is impossible. Please use cm³ everywhere.

Thanks

 

[An00b]

Thanks everyone you've been much help, I need it for tomorrow and you've solved it so quickly.