1. Convert Carats to Grams:
* 1 carat = 0.2 grams
* 2.4 carats * (0.2 grams/carat) = 0.48 grams
2. Calculate the Number of Moles:
* The molar mass of carbon is 12.01 g/mol.
* Moles of carbon = (0.48 grams) / (12.01 g/mol) = 0.04 moles
3. Calculate the Number of Atoms:
* Avogadro's number (6.022 x 10^23) tells us the number of atoms in one mole of a substance.
* Number of carbon atoms = (0.04 moles) * (6.022 x 10^23 atoms/mol) ≈ 2.4 x 10^22 atoms
Therefore, there are approximately 2.4 x 10^22 carbon atoms in a 2.4 carat diamond.
