Final answer:
The enthalpy change for the conversion of ammonia to nitric oxide is -197.4 kJ.
Step-by-step explanation:
The enthalpy change ($\Delta H_{rxn}$) for the conversion of ammonia to nitric oxide can be calculated using the given values of the standard enthalpies of formation. The equation for the reaction is:
4NH₃(g) + 5O₂(g) → 4NO(g) + 6H₂O(g)
Using Hess's law, we can find the enthalpy change:
$\Delta H_{rxn}$ = (4 * $\Delta H_f [NO(g)]$) + (6 * $\Delta H_f [H₂O(g)]$) - (4 * $\Delta H_f [NH₃(g)]$)
Substituting the given values:
$\Delta H_{rxn}$ = (4 * 90.3 kJ/mol) + (6 * (-241.8 kJ/mol)) - (4 * (-45.9 kJ/mol)) = -197.4 kJ