Hydrazine (N2H4\text{N}_2\text{H}_4N2H4) is a highly reactive liquid used as a rocket propellant. It undergoes combustion with oxygen (O2\text{O}_2O2) to produce nitrogen gas (N2\text{N}_2N2) and water vapor (H2O\text{H}_2\text{O}H2O) according to the following chemical equation:
N2H4+O2⟶N2+2H2O\text{N}_2\text{H}_4 + \text{O}_2 \longrightarrow \text{N}_2 + 2\text{H}_2\text{O}N2H4+O2⟶N2+2H2O
The bonds broken and made during this reaction are as follows:
Table 1 shows the bond energies for these bonds.
Table 1
| Bond | Bond energy (kJ/mol) |
|---|---|
| N−H\text{N}-\text{H}N−H | 391 |
| N−N\text{N}-\text{N}N−N | 163 |
| O=O\text{O}=\text{O}O=O | 495 |
| N≡N\text{N}\equiv\text{N}N≡N | 945 |
| O−H\text{O}-\text{H}O−H | 463 |
Calculate the overall energy change for the reaction using the bond energies in Table 1.
Explain why this reaction is exothermic, using values from your calculation.