Question

The weight of diamond is given in carats. One carat is equivalent to 200mg. A pure diamond is made up entirely of carbon atoms. How many carbon atoms make up a 1 carat diamond?

Answer 1

1. 1 g =100 mg

So, 200 mg = 0.2 g.

2. Number of moles of diamond in 0.2 g of diamond = $\frac{Givenmass}{Molarmass}=\frac{0.2}{12}=0.016$

3. Number of atoms in 1 mole = 6.023 $\times$ 10²³
Number of atoms of carbon in 0.016 moles = 0.016 $\times$ 6.023 $\times$ 10²³ = 9.6 $\times$10²¹ atoms.