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

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SUMMARY

In 1 cm³ of air, the volume occupied by individual molecules is calculated using the formula V = 4/3 * R³ * π, where R is the radius of a molecule (0.1 nm). The calculated volume of a single molecule is approximately 4.187 x 10⁻¹⁴ cm³. Using Avogadro's number (Na = 6.022 x 10²³ mol⁻¹) and the molar volume (V₀ = 22.4 dm³), the discussion reveals that the number of molecules in 1 cm³ of air is less than one, indicating that the majority of the volume is occupied by empty space.

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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/Na=V/V0
Na=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/Na=V/V0) I get that there is less then one molecule in that space which is impossible. Please use cm3 everywhere.

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

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