Hi, Melanie,
The balanced equation 2 Al + 3 Cl2 —> 2 AlCl3 tells us that it takes 3 moles of Cl2 to completely react with 2 moles of Al. If they aren't in the ratio of 3 moles Cl2 to 2 moles Al, there will be a surplus of one relative to the other. The one in shortest supply is termed the "limiting reagent." It means that there is not enough of it to completely consume the other reactant(s).
If 2 moles of aluminum and 2 moles of chlorine are reacted, we can use the molar ratio of (2 moles Al/3 moles Cl2) to tell us how much Al we would need for the 2 moles Cl2:
(2 moles Al/3 moles Cl2)*(2 moles Cl2) = 4/3 moles Al. We have two moles, so there is plenty. The Cl2 must be the limiting reagent.
We can also write the factor as (3 moles Cl2/2 moles Al), and use it to determine how much chlorine will be needed:
(3 moles Cl2/2 moles Al)*(2 moles Al) = 3 moles Cl2
We only have 2 moles Cl2, so it is the limiting reagent.
I hope this helps,
Bob