1. Convert Molecules to Moles
* Avogadro's number tells us that there are 6.022 x 10^23 molecules in one mole of any substance.
* Divide the number of molecules by Avogadro's number to find the number of moles:
(3.01 x 10^24 molecules) / (6.022 x 10^23 molecules/mol) = 5 moles of Cl₂
2. Calculate the Molar Mass of Cl₂
* The molar mass of chlorine (Cl) is 35.45 g/mol.
* Since Cl₂ has two chlorine atoms, its molar mass is:
2 * 35.45 g/mol = 70.90 g/mol
3. Calculate the Mass
* Multiply the number of moles by the molar mass:
5 moles * 70.90 g/mol = 354.5 g
Therefore, the mass of 3.01 x 10^24 molecules of Cl₂ is 354.5 grams.