1. Calculate the molar mass of N₂I₆

* Nitrogen (N) has an atomic mass of 14.01 g/mol.

* Iodine (I) has an atomic mass of 126.90 g/mol.

* Molar mass of N₂I₆ = (2 * 14.01 g/mol) + (6 * 126.90 g/mol) = 818.42 g/mol

2. Convert molecules to moles

* Avogadro's number is 6.022 x 10²³ molecules/mol

* Moles of N₂I₆ = (8.281023 molecules) / (6.022 x 10²³ molecules/mol) = 1.375 x 10⁻² mol

3. Calculate grams

* Grams of N₂I₆ = (1.375 x 10⁻² mol) * (818.42 g/mol) = 11.26 g

Therefore, there are approximately 11.26 grams in 8.281023 molecules of N₂I₆.