To determine which reaction is endothermic, we need to compare the total energy required to break the bonds with the total energy released when forming the bonds.
The general formula is: Total Energy of Bonds Broken - Total Energy of Bonds Formed = Change in Energy (ΔE)
If ΔE is positive, the reaction is endothermic.
Let's analyze each reaction:
-
C + O2 → CO2
- Bonds broken: 1 O=O (499 kJ/mol)
- Bonds formed: 2 C=O (2 × 799 kJ/mol = 1598 kJ/mol)
- ΔE = 499 - 1598 = -1099 kJ/mol (exothermic)
-
N2 + O2 → 2NO
- Bonds broken: 1 N≡N (946 kJ/mol) + 1 O=O (499 kJ/mol) = 1445 kJ/mol
- Bonds formed: 2 N=O (2 × 607 kJ/mol = 1214 kJ/mol)
- ΔE = 1445 - 1214 = 231 kJ/mol (endothermic)
-
S + O2 → SO2
- Bonds broken: 1 O=O (499 kJ/mol)
- Bonds formed: 2 S=O (2 × 522 kJ/mol = 1044 kJ/mol)
- ΔE = 499 - 1044 = -545 kJ/mol (exothermic)
-
2CO + O2 → 2CO2
- Bonds broken: 2 C≡O (2 × 1072 kJ/mol = 2144 kJ/mol) + 1 O=O (499 kJ/mol) = 2643 kJ/mol
- Bonds formed: 4 C=O (4 × 799 kJ/mol = 3196 kJ/mol)
- ΔE = 2643 - 3196 = -553 kJ/mol (exothermic)
From this analysis, the reaction that is endothermic is:
N2 + O2 → 2NO