Final answer:
The enthalpy change for the reaction 2NO(g) + O₂(g) → 2NO₂(g) is calculated using given enthalpy of formations to be -114 kJ.
Step-by-step explanation:
To calculate the enthalpy of the reaction 2NO(g) + O₂(g) → 2NO₂(g), we need to use the provided reactions and their respective enthalpies of formation. We have the following data:
- ½N₂(g) + O₂(g) → NO₂(g), ΔH*A = 33.2 kJ
- ½N₂(g) + ½O₂(g) → NO(g), ΔH*B = 90.2 kJ
- N₂(g) + O₂(g) → 2NO₂(g), ΔH = 66.4 kJ
To find the enthalpy change for 2NO(g) formation, we double the second equation, as enthalpy change is extensive. This gives:
N₂(g) + O₂(g) → 2NO(g), ΔH = 2 * 90.2 kJ = 180.4 kJ.
We then add the enthalpy of formation for 2NO(g) with that for 2NO₂(g) and subtract the enthalpy for N₂(g) + O₂(g) → 2NO(g) to find the enthalpy of the given reaction:
ΔHreaction = ΔHformation(2NO₂) - ΔHformation(2NO) = 66.4 kJ - 180.4 kJ = -114 kJ.
Therefore, the enthalpy change for the reaction 2NO(g) + O₂(g) → 2NO₂(g) is -114 kJ.