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

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SUMMARY

The discussion focuses on determining atomic distance in lead using its density and molar mass. Key values include Young's modulus for lead at 1.6 x 1010 N/m2, a density of 11.4 g/cm3, and a molar mass of 207 g/mol. The relationship between Young's modulus (Y), spring constant (K), and atomic distance (d) is established through the formula Y = K/d. The challenge lies in calculating the atomic diameter (d) from the given density and molar mass.

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  • Understanding of Young's modulus and its application in material science.
  • Knowledge of density calculations and conversions between units (g/cm3 to kg/m3).
  • Familiarity with molar mass and its significance in atomic calculations.
  • Basic principles of atomic theory, particularly regarding atomic models and point masses.
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Students and professionals in materials science, physicists, and chemists interested in atomic structure and properties of lead.

Azzy42
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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
 
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If you assume that each atom of lead is a point mass (has mass but zero volume), then the problem is greatly simplified.
 

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