Final answer:
To balance the equation N₂H₄ + Cu(OH)₂ in basic conditions, put a coefficient of 2 in front of Cu(OH)₂. The balanced equation is ₂N₂H₄ + Cu(OH)₂ → N₂ + 2Cu + 4H₂O.
Step-by-step explanation:
To balance the equation N₂H₄ + Cu(OH)₂ in basic conditions, we need to make sure that the number of atoms of each element is equal on both sides of the equation.
First, let's balance the nitrogen (N) atoms. There are 2 nitrogen atoms on the left side (in N₂H₄) and 1 nitrogen atom on the right side (in Cu(NO₃)₂). To balance them, we need to put a coefficient of 2 in front of Cu(OH)₂.
The balanced equation in basic conditions is ₂N₂H₄ + Cu(OH)₂ → N₂ + ₂Cu + ₄H₂O.