Final answer:
The ΔH value for the production of 1.00 mole of NO₂(g) from its elements at 101.3 kPa and 298 K is +33.2 kJ, which is calculated by dividing the given ΔH for 2 moles (66.4 kJ) by 2.
Step-by-step explanation:
Based on the information provided, to find the ΔH value for the production of 1.00 mole of NO₂(g) from its elements at 101.3 kPa and 298 K, we start with the given reaction:
N₂(g) + 2O₂(g) → 2NO₂(g) ΔH = +66.4 kJ
This equation shows the formation of 2 moles of NO₂(g) has an enthalpy change (ΔH) of +66.4 kJ. To determine the ΔH for the formation of 1 mole of NO₂(g), we divide the enthalpy change by 2, because enthalpy is an extensive property and is directly proportional to the number of moles in a reaction:
ΔH for 1 mole of NO₂(g) = +66.4 kJ / 2 = +33.2 kJ
Therefore, the correct ΔH value for the production of 1.00 mole of NO₂(g) from its elements at 101.3 kPa and 298 K is +33.2 kJ, which corresponds to option 1 in the question.