The reaction for formation of methanol from carbon monoxide and hydrogen is
As per balanced equation
one mole of CO will react with two moles of Hydrogen to give one mole of methanol
we are provided with
477 mol of CO and 699 mol of H₂
Thus for for 477 moles of CO we need = 2 X 477 mol of H₂ = 954 mol of H₂
However we are provided with only 699 moles of H₂
Thus limiting reagent is H₂
The given moles of H₂ will react with = 0.5 X 699 moles of CO = 349.5 mol CO
The excess of CO [excess reactant] = 477-349.5 = 127.5 mol [unchanged]
From each mole of CO we will get equal moles of methanol
Moles of methanol formed = moles of CO reacted = 127.5 mol