To determine the enthalpy of the given reaction, you can use Hess's law. First, reverse the second equation and multiply it by 2 to cancel out NO₂:
2 NO₂(g) → N₂(g) + 2 O₂(g) ΔH° = -33 kJ
Now, add this reversed equation to the first equation:
2 NO(g) + O₂(g) → 2 NO₂(g) ΔH° = +183 kJ
+ (2 NO₂(g) → N₂(g) + 2 O₂(g) ΔH° = -33 kJ)
This results in the target reaction:
2 NO(g) + O₂(g) → 2 NO₂(g) ΔH° = 150 kJ
Therefore, the correct answer is (b) -150 kJ.