Final answer:
The enthalpy of the reaction is 1500 kJ.
Step-by-step explanation:
To calculate the enthalpy of the reaction, we need to consider the bond energies of the reactants and products. Let's break down the reaction:
- H-H bond energy = 436 kJ/mol
- N-N bond energy = 941 kJ/mol
- C-C bond energy = 347 kJ/mol
- H-N bond energy = 389 kJ/mol
- C-N bond energy = 372 kJ/mol
The energy required to break the bonds in the reactants is:
2 mol of H-H bonds + 1 mol of N-N bonds = 2 x 436 kJ + 941 kJ = 814 kJ
The energy released from forming bonds in the products is:
2 mol of C-C bonds + 2 mol of H-N bonds + 2 mol of C-N bonds = 2 x 347 kJ + 2 x 389 kJ + 2 x 372 kJ = 2314 kJ
Therefore, the enthalpy of the reaction is the difference between the energy required to break the bonds and the energy released from forming the bonds:
Enthalpy = (2314 kJ - 814 kJ) = 1500 kJ