Estimating the spacing between gas molecules

[tom_l]

Homework Statement

Estimate the average spacing between molecules of 1 mol of an ideal gas at a pressure of 1atm and a temperature of 300K.

Homework Equations

PV=nRT

The Attempt at a Solution

I was able to calculate the volume occupied by the gas (0.0246m^3). Using the ideal gas law. So we know how many molecules there are in what volume. But without further information how can I calculate the spacing?

Thanks a lot.

 

[granpa]

whats the volume per molecule

 

[tom_l]

whats the volume per molecule

That would be the volume divided by the total number of molecules. I did think of that but is that an estimate of separation? We don't know the size of each molecule. The volume per molecule would just be the distance from the centre of one molecule to another. What if the molecules are really large?