Answer:
[tex]1.514\cdot 10^{24}[/tex]
Explanation:
Our initial goal is to convert from moles of oxygen to moles of acetaminophen. Since 1 mole of acetaminophen contains 2 moles of oxygen by stoichiometry, the amount of acetaminophen would be half of the amount of oxygen in terms of moles:
[tex]n_a = \frac{1}{2} n_O = \frac{1}{2}\cdot 5.029 mol = 2.515 mol[/tex]
In order to convert moles to the number of molecules, we need to multiply the number of moles by the Avogadro's constant. Let's perform this calculation:
[tex]N_a = n_a\cdot N_A = 2.515 mol\cdot 6.022\cdot 10^{23} mol^{-1} = 1.514\cdot 10^{24}[/tex]
Therefore, this number corresponds to acetaminophen molecules.