Answer:
[tex]3.1\times 10^{25}[/tex] carbon atoms are present in stone
Explanation:
Diamond is made of carbon only.
1 mg = 0.001 g
1 carat = 200 mg
So, weight of diamond in grams = [tex](3104\times 200\times 0.001)g[/tex] = 620.8 g
Molar mass of carbon = 12 g/mol
So, number of moles of carbon in diamond is the ratio of diamond to molar mass of carbon.
So, number of moles of carbon in diamond = [tex]\frac{620.8}{12}moles[/tex]
1 mol of an atom = [tex]6.023\times 10^{23}[/tex] number of atoms
So, [tex]\frac{620.8}{12}moles[/tex] of carbon atom = [tex]\frac{620.8}{12}\times 6.023\times 10^{23}[/tex] carbon atoms = [tex]3.1\times 10^{25}[/tex] carbon atoms.
