Trejo reacts 5.0 moles of hydrochloric acid (hci) with 1.5 moles of barium hydroxide (ba(oh)2). which reagent is the limiting reagent and which is in excess?

The balanced equation for the above reaction is as follows
Ba(OH)₂ + 2HCl > BaCl₂ + 2H₂O
stoichiometry of Ba(OH)₂ to HCl is 1:2
number of Ba(OH)₂ moles - 1.5 mol
number of HCl moles - 5.0 mol
limiting reactant is fully consumed during the reaction and amount of product formed depends on amount of limiting reactant present 
excess reactant only a fraction of the amount present is used up in the reaction 
if Ba(OH)₂ is the limiting reactant 
if 1 mol of Ba(OH)₂ reacts with 2 mol of HCl 
then 1.5 mol of Ba(OH)₂  reacts with 2 x 1.5 = 3.0 mol of HCl
but 5.0 mol of HCl is present and only 3.0 mol is required 
therefore excess reagent is HCl and limiting reactant is Ba(OH)₂