Explanations:

First, convert moles of S8 to moles of S atoms. Since there are 8 S atoms in each S8 molecule, we have:

0.525 moles S8 * (8 moles S atoms / 1 mole S8) = 4.20 moles S atoms

Then, convert moles of S atoms to number of atoms using Avogadro's number (6.022 * 10^23 atoms/mole):

4.20 moles S atoms * (6.022 * 10^23 atoms/mole) = 2.53 * 10^24 atoms

Therefore, there are approximately 2.66 * 10^24 atoms in 0.525 moles of S8.