Gold has an atomic weight of 196.97 g/mol, and a density of 19.3 g/cm3. approximately how many atoms are in a spherical gold nanoparticle 10 nm in diameter?

The number of atoms in spherical gold nano particle are

Explanation:

where,

r = radius of the sphere =    (Conversion factor:   )

Putting values in above equation, we get:

Volume of gold =

Density of gold =

Putting values in above equation, we get:

Mass of gold =

Molar mass of gold = 196.97 g/mol

Putting values in above equation, we get:

1 mole of an element contains  number of atom

So, moles of gold will contain = number of atoms.

Hence, the number of atoms in spherical gold nano particle are

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