Question

The tiara worn by Kate Middleton for her wedding to Prince William of England contains 888 diamonds and belongs to the British monarchy. If each diamond in the tiara is 1.0 carat, and given that diamond is a form of carbon and that 1 carat is defined as 0.200 g, calculate the number of atoms in the gemstones of that tiara.

Answer 1

The number of atoms in the gemstones of that tiara is
`8.9125* 10^(24) atoms`.

Step-by-step explanation:

Number of diamonds ion tiara = 888

Mass of each diamond = 1.0 carat = 0.200 g (given)

Mass of 888 diamonds in tiara:

`888* 0.200 g=177.600 g`

Given that diamond is a form of carbon.

Atomic mass of carbon atom = 12 g/mol

Moles of 77.600 g of carbon =
`(177.600 g)/(12 g/mol)=14.800 mol`

Number of atoms of carbon 14.800 moles:

`14.800 mol* 6.022* 10^(23) atoms =8.9125* 10^(24) atoms`

The number of atoms in the gemstones of that tiara is
`8.9125* 10^(24) atoms`.