Answer
We would use the following conversion factors in the following order:
1. We convert 1.00 g aspirin into the number of moles of aspirin.
2. We convert the number of moles of aspirin into the number of moles of a particular element.
3. We convert the number of moles of a particular element to the number of atoms of that element with Avagadro's number.
Work Step by Step
We begin by converting 1.00 grams of Aspirin into the number of moles of Aspirin. Then, for every mole of Aspirin, we have 8 moles of Hydrogen. Finally, we multiply the number of moles of Hydrogen by $6.022*10^{23}$ to find the number of hydrogen atoms in the sample.