Final answer:
To find how many aluminum atoms will react with 1.33x10^24 sulfur atoms, the stoichiometry of the aluminum and sulfur reaction is considered. Since 2 moles of aluminum react with 3 moles of sulfur, using Avogadro's number for conversion, the answer is approximately 2.66x10^24 aluminum atoms, which is option b).
Step-by-step explanation:
To determine how many atoms of aluminum will react completely with 1.33x1024 atoms of sulfur, we need to consider the stoichiometry of the reaction between aluminum and sulfur.
Aluminum and sulfur typically react in a one-to-one ratio to form aluminum sulfide (Al2S3). The balanced equation for this reaction would be:
2Al + 3S → Al2S3
Based on that, 2 moles of aluminum atoms react with 3 moles of sulfur atoms. Since 1 mole of atoms contains Avogadro's number of atoms, which is 6.022x1023 atoms, we can set up the following ratio:
2 moles Al / 3 moles S = x moles Al / (1.33x1024 atoms S)
Solving for x gives us:
x moles Al = (2 moles Al / 3 moles S) × (1.33x1024 atoms S / 6.022x1023 atoms S/mol)
This gives us the number of moles of aluminum, which can be converted to the number of atoms by multiplying with Avogadro's number. The result is option b) 2.66x1024 atoms of aluminum.