Answer:
The number of atoms in the gemstones of that tiara is [tex]8.9125\times 10^{24} atoms[/tex].
Explanation:
Number of diamonds ion tiara = 888
Mass of each diamond = 1.0 carat = 0.200 g (given)
Mass of 888 diamonds in tiara:
[tex]888\times 0.200 g=177.600 g[/tex]
Given that diamond is a form of carbon.
Atomic mass of carbon atom = 12 g/mol
Moles of 77.600 g of carbon =[tex]\frac{177.600 g}{12 g/mol}=14.800 mol[/tex]
Number of atoms of carbon 14.800 moles:
[tex]14.800 mol\times 6.022\times 10^{23} atoms =8.9125\times 10^{24} atoms[/tex]
The number of atoms in the gemstones of that tiara is [tex]8.9125\times 10^{24} atoms[/tex].
