Final answer:
The enthalpy change for the reaction of H₂ (g) + Cl₂ (g) → 2HCl (g) is -620 kJ/mol.
Step-by-step explanation:
To calculate the enthalpy change, AH, for the given reaction H₂ (g) + Cl₂ (g) → 2HCl (g), we need to consider the bond energies involved.
We can break down the reaction into bond breaking and bond forming steps. One mole of H-H bonds (bond energy = 436 kJ/mol) and one mole of Cl-Cl bonds (bond energy = 243 kJ/mol) need to be broken. On the other hand, two moles of H-Cl bonds (bond energy = 432 kJ/mol) will be formed.
The sum of the energy required to break the bonds minus the energy released by forming the bonds will give us the enthalpy change for the reaction.
Calculating the energy involved: (1 x 436 kJ) + (1 x 243 kJ) - (2 x 432 kJ) = -620 kJ/mol. Therefore, the enthalpy change for the reaction is -620 kJ/mol. Since the question asks for the answer to be rounded to the nearest kJ/mol, the final answer is -620 kJ/mol.