Answer and Explanation:
Molecular formula if aspartame is C14H18N2O5. Its molar mass is ~294 g/mol.
Firstly we need to calculate moles of aspartame. This can be done by converting 89.2 grams into moles,
89.2 g / 294 g/mol = 0.303 moles of aspartame
Each mole of aspartame has 5 moles of oxygen. So, we will have 1.517 moles of O in 89.2 grams of aspartame (5 x 0.303).
Finally, we can calculate the number of O atoms by multiplying with avogadro's number
= 1.517 mol X 6.02 X 10^23
= 9.13 X 10^23 oxygen atoms.