1. Avogadro's Number

* Avogadro's number tells us that there are 6.022 x 10²³ atoms in one mole of any element.

2. Setting up the Calculation

* We know we have 1.81 x 10²⁴ atoms of sulfur.

* We want to find out how many moles this represents.

3. The Calculation

* Divide the number of atoms by Avogadro's number:

(1.81 x 10²⁴ atoms S) / (6.022 x 10²³ atoms/mole) = 3.01 moles of sulfur

Therefore, there are 3.01 moles of sulfur in 1.81 x 10²⁴ atoms of sulfur.