J.R. S. answered 02/19/21
Ph.D. University Professor with 10+ years Tutoring Experience
First, write the correctly balanced equation for the reaction taking place:
4FeCl3 + 3O2(g) ==> 6Cl2(g) + 2Fe2O3 ... balanced equation
Looking at the mole ratios in this balanced equation we see that 4 moles of FeCl3 reacts with 3 moles of O2 to produce 6 moles of Cl2(g). Since we are given the moles of each reactant, we need to determine if either of them is in limiting supply. To so this, we can simply determine moles of Cl2 produced by each reactant....
2 moles FeCl3 x 6 moles Cl2 / 4 moles FeCl3 = 3 moles Cl2
2 moles O2 x 6 moles Cl2 / 3 moles O2 = 4 moles Cl2
We see that FeCl3 is limiting and so the answer to the question is 3 moles of Cl2 gas will be produced