Final answer:
The mass of 6.55 × 10²µ molecules of Cl₂ is approximately 771.8 grams, calculated through the use of conversion factors involving Avogadro's number and the molar mass of Cl₂.
Step-by-step explanation:
To find the mass in grams of 6.55 × 10²µ molecules of Cl₂, we use the given conversion factors. The molar mass of Cl₂ is 70.90 g/mol, and there are 6.022 × 10²³ molecules in one mole of any substance. Using these conversion factors:
Step 1: To convert molecules to moles, we divide the number of molecules by Avogadro's number:
6.55 × 10²µ molecules Cl₂ / 6.022 × 10²³ molecules/mol = 10.88 moles Cl₂
Step 2: We then convert moles to grams using the molar mass of Cl₂:
10.88 moles Cl₂ * 70.90 g/mol = 771.792 g Cl₂
Therefore, the mass of 6.55 × 10²µ molecules of Cl₂ is approximately 771.8 grams.