Question

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

200 mg). How many carbon atoms present in the stone?

Answer 1

`3.1* 10^(25)` carbon atoms are present in stone

Step-by-step explanation:

Diamond is made of carbon only.

1 mg = 0.001 g

1 carat = 200 mg

So, weight of diamond in grams =
`(3104* 200* 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 =
`(620.8)/(12)moles`

1 mol of an atom =
`6.023* 10^(23)` number of atoms

So,
`(620.8)/(12)moles` of carbon atom =
`(620.8)/(12)* 6.023* 10^(23)` carbon atoms =
`3.1* 10^(25)` carbon atoms.