Average distance between gas molecules

[SpringWater]

Homework Statement

Show how you would find the average distance between gas molecules at a specific volume, pressure and temp?

Given;
Pressure=P (torr)
Temp=T (Kelvin)
n=number of mol
N=number of molecules
Volume=V (cm)^3

Homework Equations

pv=nRT N=n*(NA) N/Volume

The Attempt at a Solution

I am having a hard time understanding how to set up an equation that would show the average distance between molecules.

If I take the number of molecules (N) / Volume= N / (cm)^(3) so how would I find the distance between them? any help would be greatly appreciated. thank you

 

[Jolb]

The most obvious way to do this would be to say that on average, each particle occupies a volume of V/N. Because the gas has no lattice or anything which breaks rotational symmetry, you might think that on average, the volume that each particle occupies is a sphere surrounding that particle. The average distance between the particles would be the distance between the centerpoints of two neighboring balls each with volume V/N.