Answer:
So, there are approximately 638.2 grams in 4.63 x 10²⁴ molecules of CCl₂.
Explanation:
To calculate the number of grams in a given number of molecules, you'll need to know the molecular weight of the substance (in this case, CCl₂) and then use Avogadro's number.
Calculate the molecular weight of CCl₂:
Carbon (C) has an atomic mass of approximately 12.01 g/mol.
Chlorine (Cl) has an atomic mass of approximately 35.45 g/mol (each).
CCl₂ consists of one carbon atom and two chlorine atoms.
Molecular weight of CCl₂ = (1 * 12.01 g/mol) + (2 * 35.45 g/mol) = 82.91 g/mol
Use Avogadro's number to find the number of moles in 4.63 x 10²⁴ molecules:
Avogadro's number (NA) is approximately 6.022 x 10²³ molecules/mol.
Number of moles = (4.63 x 10²⁴ molecules) / (6.022 x 10²³ molecules/mol) ≈ 7.68 moles
Finally, convert moles to grams using the molecular weight:
Number of grams = (Number of moles) * (Molecular weight)
Number of grams = (7.68 moles) * (82.91 g/mol) ≈ 638.2 grams
So, there are approximately 638.2 grams in 4.63 x 10²⁴ molecules of CCl₂.