Answer:
6.64*10^(-9) moles of oxygen.
Explanation:
If we have N molecules, the number of moles is given by:
n = N/Nā
where Nā is the Avogadro's number:
Nā = 6.02214076*10^23
In 2.000*10^15 molecules of sulfur dioxide, we have:
n = (2.000*10^15)/(6.02214076*10^23) = 3.32*10^(-9) moles of sulfur dioxide.
Now, sulfur dioxide has two oxygens and a single sulfur.
Then a mole of sulfur dioxide has two moles of oxygen and a single mol of sulfur.
Then in 3.32*10^(-9) moles of sulfur dioxide, we have twice that amount moles of oxygen, or:
2*3.32*10^(-9) = 6.64*10^(-9) moles of oxygen.