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  • NO₂ Formation: Calculating Enthalpy Change and Balanced Reaction
    You're asking about the enthalpy of formation of NO₂. This is the energy change when one mole of NO₂ is formed from its constituent elements in their standard states.

    Here's how to figure out the correct reaction:

    * Standard states: Nitrogen (N₂) is a gas at standard conditions, and oxygen (O₂) is also a gas.

    * Enthalpy of formation: This is a positive value (+33.1 kJ/mol), indicating that the reaction is endothermic (requires energy input).

    The correct reaction is:

    1/2 N₂(g) + O₂(g) → NO₂(g) ΔH = +33.1 kJ/mol

    Explanation:

    * 1/2 N₂(g): This represents half a mole of nitrogen gas, ensuring we produce one mole of NO₂.

    * O₂(g): This represents one mole of oxygen gas.

    * NO₂(g): This represents one mole of nitrogen dioxide gas, the product.

    * ΔH = +33.1 kJ/mol: This indicates that the reaction requires 33.1 kJ of energy to form one mole of NO₂.

    Why other options are incorrect:

    * Any reaction not involving N₂ and O₂ as reactants would be incorrect.

    * Any reaction with a negative ΔH would represent an exothermic process, not the formation of NO₂.

    * Any reaction producing a different amount of NO₂ would not reflect the standard enthalpy of formation.

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