Question

the carat is the unit of mass used by jewelers. One carat is exactly 200 milligrams. How many carbon atoms are present in a 24 karat diamond

Answer 1

1 carat = 200mg

24 carat = 24 x 200mg = 4800g

1000mg = 1g

4800mg = 4.8g

Convert no. of grams into mole

number of moles = mass given / atomic mass of C

                           = 4.8 / 12 = 0.4 moles

One mole of any substance, equal to 6.022140857 x 10²³ (Avogadro's number)

0.4 x 6.022 x 10²³ = 2.4 x 10²³

2.4 x 10²³ carbon atom present in 24 karat diamond.