Answer:
[tex]7.646 * 10^{23}[/tex] atoms
Step-by-step explanation:
First we find the mass of gold that was lost during the 52 years.
Mass lost = 3.6 g - 3.35 g = 0.25 g
Secondly we find the mass of each atom using gold's relative atomic mass.
mass of a gold atom = 196.96657 amu * [tex]1.66*10^{-27}[/tex] kg/amu
= [tex]3.2696 * 10^{-25}[/tex] per atom of gold
Thirdly now we can calculate the number of gold atoms lost by dividing the mass of gold lost by the mass of each gold atom.
number of gold atoms lost = [tex]\frac{0.25 g}{3.2696*10^{-25} g/atom}[/tex]
=[tex] 7.646 * 10^{23}[/tex] atoms