

1 carat = 0.205 gm
Atomic mass of Gold = 196.967
Atomic mass of Gold in carats = 197/0.205 = 960.814
1 Atomic mass of Gold has Avogadro number of Atoms of Gold = 6.022 X 10 23
960.814 carats of Gold has 6.022 X 1023 atoms of Gold
So, 1 carat of Gold has 6.022 X 1023 /960.814 = 0.00627 X 1023 = 6.27 X 1020 atoms of gold
So 20 carats shall have 20 X 6.27 X 1020 = 12.54 X 1020 = 1.254 X1021 atoms of Gold
