Step 1: Understanding the Question:
The problem states that the formation of NO₂ from N₂ and O₂ is endothermic and asks for the corresponding sign of ΔH.
Step 2: Key Formula or Approach:
An endothermic reaction absorbs heat from the surroundings, which thermodynamically corresponds to a positive enthalpy change (ΔH>0).
Step 3: Detailed Explanation:
Since the synthesis of NO₂ gas requires an input of energy, the enthalpy of the system increases. Therefore, the change in enthalpy (ΔH) for this process is greater than zero.
Step 4: Final Answer:
For an endothermic process, ΔH>0, which is represented by option (D).