How Do You Determine Atomic Distance from Density and Molar Mass?

[Azzy42]

Heres my problem.
Youngs modulus for lead: 1.6exp10 N/m^2. Density of Lead: 11,4g/cm^3.
Mass of one mole lead: 207g
Model the interactions as if they were connected by springs.
Determine distance between lead atoms and approx spring constant.

Easy enough Y= K/d But what is bugging me is d. dia of atom
How do you determine d from density and the mass of one mole?
And how do u relate it to the distance between atoms?
It is keeping me up.
Probably very easy but just not seeing it.

PS: don't know if we use different notation is SA

 

[Hootenanny]

If you assume that each atom of lead is a point mass (has mass but zero volume), then the problem is greatly simplified.