Answer:
-488.2 kJ/mol
Step-by-step explanation:
To calculate the enthalpy change of the reaction, we can use the standard molar enthalpies of the formation of the products and reactants, which are given in the problem.
ΔH = Σ(nΔHf° products) - Σ(nΔHf° reactants)
where ΔH is the enthalpy change of the reaction, n is the stoichiometric coefficient, and ΔHf° is the standard molar enthalpy of formation.
Substituting the values given in the problem, we get:
ΔH = [(1 mol)(-393.5 kJ/mol) + (2 mol)(-241.8 kJ/mol)] - [(1 mol)(-238.4 kJ/mol) + (2 mol)(0 kJ/mol)]
= -726.6 kJ/mol + 238.4 kJ/mol
= -488.2 kJ/mol
The negative sign indicates that the reaction is exothermic, which means that it releases heat. Therefore, the enthalpy change of the reaction is -488.2 kJ/mol.