Question

The cullinan diamond was the largest natural diamond ever found (January 25 1905 ). It weighed 3104 carat (1 carat =

Answer 1

Answer:

$3.1\times 10^{25}$ 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 = $(3104\times 200\times 0.001)g$ = 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 = $\frac{620.8}{12}moles$

1 mol of an atom = $6.023\times 10^{23}$ number of atoms

So, $\frac{620.8}{12}moles$ of carbon atom = $\frac{620.8}{12}\times 6.023\times 10^{23}$ carbon atoms = $3.1\times 10^{25}$ carbon atoms.