Question

Calculate the number of molecules of acetaminophen that contains 5.029 moles of oxygen.

Acetaminophen - C8H9O2N

Answer 1

`1.514\cdot 10^(24)`

Step-by-step 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:

`n_a = (1)/(2) n_O = (1)/(2)\cdot 5.029 mol = 2.515 mol`

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:

`N_a = n_a\cdot N_A = 2.515 mol\cdot 6.022\cdot 10^(23) mol^(-1) = 1.514\cdot 10^(24)`

Therefore, this number corresponds to acetaminophen molecules.