Answer:
[tex]1.29x10^{22} atoms[/tex]
Explanation:
First of all we need to dererminate the diamond mass by transforming carats in grams
[tex]1.25_{carat} *0.200_{g/carat} = 0.250_{g}[/tex]
Upon consulting a periodic table one finds the atomic mass of carbon
C=12.01 g/mol
Knowing the carbon mass and the avogrado constant (1 mole = [tex]6.022x10^{22} atoms[/tex]) one compute how many atoms there are in 0.250 g of diamond
[tex]0.250_{g}/12.01_{g/mol}*6.022x10^{22}_{atoms/mol}=1.29x10^{22}_{atoms}[/tex]