Write a balanced half-reaction for the reduction of gaseous nitrogen (N2) to aqueous hydrazine (N2H4) in basic aqueous solution.

N₂ (g) + 4H⁺ (aq) + 4e⁻ → N₂H₄ (aq)

Explanation:

The half reaction for the reaction for the reduction of gaseous nitrogen to aqueous hydrazine is;

N₂ (g) → N₂H₄ (aq)

The balancing the atoms in the half reaction. Hydrogen atom is balanced by adding hydrogen ions (H⁺)

We have;

N₂ (g) + 4H⁺ (aq) → N₂H₄ (aq)

Then we balance the charge on both sides by adding electrons where the positive charge is greater;

we have;

N₂ (g) + 4H⁺ (aq) + 4e⁻ → N₂H₄ (aq)