The balanced chemical reaction is
2 Al + 3 Cl2 --> 2 AlCl3
So you have 26 g of each reactant (Al and Cl2). You cannot tell from this what the limiting reactant would be. The limiting reactant is the reactant that will make the LEAST amount of product.
Therefore, you'll need to convert each amount of reactant into moles, and then calculate how much product will be made from that amount.
26 g Al × (1 mol Al / 26.98 g Al) = 0.9638 mol Al
0.9638 mol Al × (2 mol AlCl3 / 2 mol Al) = 0.9637 mol AlCl3
26 g Cl2 × (1 mol Cl2 / 70.91 g Cl2) = 0.3667 mol Cl2
0.3667 mol Cl2 × (2 mol AlCl3 / 3 mol Cl2) = 0.2444 mol AlCl3
Since the Cl2 produces the LEAST amount of product (AlCl3), that means that Cl2 is the limiting reactant in this problem. Cl2 will run out as soon as the 26 g are used up, and there will be more Al than is needed.
You can easily find the theoretical yield of AlCl3 from here by converting 0.2444 mol AlCl3 into grams.
Hope this helps!
:) Jen