In this question, you are asked to find the number of carbon atoms out of 2.4-carat diamond. To find a number of atoms, you need to determine the weight out of carat, which was 0.2grams/carat. Then the weight of the diamond would be:
Diamond weight: 2.4 carat * 0.2 grams/carat= 0.48 grams.
The carbon molecular weight is 12, which mean there are 1 moles of carbon for every 12 grams. Diamond is all carbon so you just need to divide the total weight. The calculation would be:
Number of carbon atoms= 0.48 grams / (12grams/moles)= 0.4 moles
