Final answer:
To estimate the N-H bond energy in N2H4(g) using bond energies, calculate the total bond energy of the reactants and compare it to the total bond energy of the products. Based on the given reaction, the N-H bond energy in N2H4(g) is estimated to be approximately 863.3 kJ/mol.
Step-by-step explanation:
To estimate the N-H bond energy in N2H4(g) using bond energies, we need to calculate the total bond energy of the reactants and compare it to the total bond energy of the products. Based on the given reaction:
N2(g) + 2H2(g) → N2H4(g)
We can look up the bond energies for each bond in Table 9.4 and calculate the total bond energy for the reactants and products:
- Total bond energy of reactants: 1(N≡N) + 2(H-H) = 1(945 kJ/mol) + 2(436 kJ/mol) = 1817 kJ/mol
- Total bond energy of products: 2(N-H) = 2(x kJ/mol)
Since the enthalpy change for the reaction is given as 95.4 kJ, we can set up the equation:
Total bond energy of reactants - Total bond energy of products = Enthalpy change
1817 kJ/mol - 2x kJ/mol = 95.4 kJ/mol
Solving for x, we can estimate the N-H bond energy in N2H4(g) to be x = 863.3 kJ/mol.