Answer:
Step-by-step explanation:
To balance the chemical equation for the reaction between hydrazine (N2H4) and copper(II) hydroxide (Cu(OH)2) to produce nitrogen gas (N2) and copper (Cu) in basic conditions, you can follow these steps:
1. Write the unbalanced equation:
N2H4 + Cu(OH)2 → N2 + Cu
2. Balance the atoms other than hydrogen and oxygen. In this case, nitrogen and copper are already balanced.
3. Balance the oxygen atoms by adding water (H2O) molecules to the side that needs more oxygen atoms. Here, you have 4 oxygen atoms on the left side (2 from Cu(OH)2), and you need to balance it with 4 water molecules on the right side:
N2H4 + Cu(OH)2 → N2 + Cu + 4H2O
4. Balance the hydrogen atoms. On the left side, you have 4 hydrogen atoms from hydrazine (N2H4). To balance it, add 4 hydroxide ions (OH-) to the right side:
N2H4 + Cu(OH)2 → N2 + Cu + 4H2O + 4OH-
5. Balance the charge by adding electrons (e-) to one side of the equation. In this case, add 4 electrons to the left side:
N2H4 + Cu(OH)2 + 4e- → N2 + Cu + 4H2O + 4OH-
6. Now, you have a balanced equation in terms of atoms and charge. However, you need to convert the hydroxide ions (OH-) on the right side into water and oxygen. To do this, combine them to form water and oxygen gas:
N2H4 + Cu(OH)2 + 4e- → N2 + Cu + 4H2O + 4OH-
4OH- → 2H2O + O2 + 4e-
7. Now, integrate the two equations and simplify:
N2H4 + Cu(OH)2 + 4OH- → N2 + Cu + 6H2O + O2
8. The equation is balanced in basic conditions, and you have accounted for all the atoms and charges.
The balanced equation is:
N2H4 + Cu(OH)2 + 4OH- → N2 + Cu + 6H2O + O2