Answer:
The enthalpy of the reaction asked is -306 kJ/mol.
Explanation:
[tex]NO(g) + O_3(g)\rightarrow NO_2(g) + O_2(g),\Delta H_1=-198.8 kJ/mol[/tex]..[1]
[tex]O_3(g)\rightarrow \frac{3}{2} O_2(g) ,\Delta H_2= -142.2 kJ/mol[/tex]..[2]
[tex]O2(g)\rightarrow 2O(g) \Delta H_3= 498.8 kJ/mol[/tex]..[3]
[tex]NO(g) + O(g)\rightarrow NO_2(g),\Delta H_4=?[/tex]..[4]
Hess’s law of constant heat summation states that the amount of heat absorbed or evolved in a given chemical equation remains the same whether the process occurs in one step or several steps.
[1] - [2] - [3] × 0.5 = [4]
[tex]\Delta H_4=\Delta H_1-Delta H_2-0.5\times \Delta H_3[/tex](By using Hess's law)
[tex]\Delta H_4=-198.8 kJ/mol-( -142.2 kJ/mol)-0.5\times (498.8 kJ/mol)[/tex]
[tex]=-306 kJ/mol[/tex]
The enthalpy of the reaction asked is -306 kJ/mol.