1. Write the Balanced Chemical Equation:

The reaction between aluminum (Al) and sulfur (S) produces aluminum sulfide (Al₂S₃):

2 Al + 3 S → Al₂S₃

2. Determine the Mole Ratio:

The balanced equation tells us that 2 moles of aluminum react with 3 moles of sulfur.

3. Convert Sulfur Atoms to Moles:

* Avogadro's number (6.022 x 10²³ atoms/mol) relates the number of atoms to moles.

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

(1.33 x 10²⁴ atoms S) / (6.022 x 10²³ atoms/mol) = 2.21 moles S

4. Calculate Moles of Aluminum:

* Use the mole ratio from the balanced equation:

(2.21 moles S) * (2 moles Al / 3 moles S) = 1.47 moles Al

5. Convert Moles of Aluminum to Atoms:

* Multiply the moles of aluminum by Avogadro's number:

(1.47 moles Al) * (6.022 x 10²³ atoms/mol) = 8.86 x 10²³ atoms Al

Therefore, 8.86 x 10²³ atoms of aluminum will react with 1.33 x 10²⁴ atoms of sulfur to produce aluminum sulfide.