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

Answer:

The number of atoms in the gemstones of that tiara is $8.9125\times 10^{24} atoms$.

Explanation:

Number of diamonds ion tiara = 888

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

Mass of 888 diamonds in tiara:

$888\times 0.200 g=177.600 g$

Given that diamond is a form of carbon.

Atomic mass of  carbon atom = 12 g/mol

Moles of 77.600 g of carbon =$\frac{177.600 g}{12 g/mol}=14.800 mol$

Number of atoms of carbon 14.800 moles:

$14.800 mol\times 6.022\times 10^{23} atoms =8.9125\times 10^{24} atoms$

The number of atoms in the gemstones of that tiara is $8.9125\times 10^{24} atoms$.