Water is a produced when 30.0 grams of hydrogen reacts with 80.0 grams of oxygen what is the limiting reagent

The balanced equation for the reaction is as follows

2H₂ + O₂ - - > 2H₂O

stoichiometry of H₂ to O₂ is 2:1

number of H₂ moles - 30.0 g / 2 g/mol = 15 mol

number of O₂ moles - 80.0 g / 32 g/mol = 2.5 mol

limiting reactant is the reagent in which only a fraction is used up in the reaction

if H₂ is the limiting reactant

if 2 mol of H₂ requires 1 mol of O₂

then 15 mol of H₂ requires 1/2 x 15.0 = 7.5 mol of O₂

but only 2.5 mol of O₂ is required

this means that O₂ is the limiting reagentt and H₂ is in excess