Calculating charge density of an atom

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SUMMARY

The discussion focuses on calculating the charge density of an atomic nucleus, specifically the density of protons. The formula for charge density is established as charge per unit volume (q/v), with the volume calculated from mass density (ρ = m/v). Participants express confusion regarding the appropriate mass to use, questioning the relevance of molecular weight, molar mass, and Avogadro's number in this context. The conversation highlights the need for clarity on whether to use the formula for the volume of a sphere (4/3 π r³) or the mass density approach.

PREREQUISITES
  • Understanding of charge density concepts
  • Familiarity with mass density calculations
  • Knowledge of Avogadro's number and its application
  • Basic principles of atomic structure and nuclear composition
NEXT STEPS
  • Research the relationship between charge density and atomic structure
  • Learn about the application of Avogadro's number in volume calculations
  • Explore the differences between molecular weight and molar mass
  • Study the derivation and application of the volume formula for spheres (4/3 π r³)
USEFUL FOR

This discussion is beneficial for physicists, chemists, and students studying atomic theory, particularly those interested in nuclear properties and charge density calculations.

mitch_1211
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here I am only considering the charge density of the nucleus, i.e the density of protons.

I know that from mass density i have rho = m/v -> v = m / rho
I'm not sure what mass to use here. Molecular weight? molar mass? where does avagadros number come into it?

then is it simply charge density = q/v

Will the volume calculated from v = m / rho differ from using 4/3 pi r^3 the volume of a sphere?

A little confused on which approach to use.

Mitch
 
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Charge density implies charge per unit volume, which in your case is the total charge in the nucleus (depends on which nucleus you are talking about) divided by the volume of said nucleus, which ultimately is a meaningless quantity but nevertheless can be approximated depending on what property of it's "volume" you care about. Where do you think mass and avogadro's number come into this?
 
I think i will need avogadros number when calculating the volume from v = m / rho not sure if i need to use molar mass, atomic weight here
 

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