J.R. S. answered 03/30/23
Ph.D. University Professor with 10+ years Tutoring Experience
2 CH₃OH (l) + 3 O₂ (g) → 2 CO₂ (g) + 4 H₂O(g) .. ∆Hº = -1280 kJ
The balanced equation tells us that when TWO moles CH3OH are combusted, the heat released is 1280 kJ.
Now simply use dimensional analysis (unit factor) to find number of moles CH3OH to give 1501 kJ:
1501 kJ x 2 mols CH3OH / 1280 kJ = 2.35 mols CH3OH