1. Find the molar mass of N2O4:
* N (nitrogen) has a molar mass of 14.01 g/mol
* O (oxygen) has a molar mass of 16.00 g/mol
* Molar mass of N2O4 = (2 * 14.01 g/mol) + (4 * 16.00 g/mol) = 92.02 g/mol
2. Convert grams of N2O4 to moles:
* Moles of N2O4 = (mass of N2O4) / (molar mass of N2O4)
* Moles of N2O4 = 8.16 g / 92.02 g/mol = 0.0887 mol
3. Use Avogadro's number to find the number of molecules:
* Avogadro's number = 6.022 x 10^23 molecules/mol
* Number of N2O4 molecules = (moles of N2O4) * (Avogadro's number)
* Number of N2O4 molecules = 0.0887 mol * 6.022 x 10^23 molecules/mol
* Number of N2O4 molecules = 5.34 x 10^22 molecules
Therefore, there are approximately 5.34 x 10^22 N2O4 molecules in 8.16 g of N2O4.
