Final answer:
The final balanced redox equation is 3Cu(s) + 8HNO3(aq) → 3Cu(NO3)2(aq) + 4H2O(l) + 2NO(g).
Step-by-step explanation:
The final balanced redox equation is:
3Cu(s) + 8HNO3(aq) → 3Cu(NO3)2(aq) + 4H2O(l) + 2NO(g)
To balance the redox equation, we first need to balance the atoms of each element on both sides of the equation, excluding hydrogen and oxygen. Next, we balance the oxygen atoms by adding water molecules to the side that lacks them. Then, we balance the hydrogen atoms by adding hydrogen ions to the opposite side. Finally, we balance the charges by adding electrons to the side that needs them. In this case, the reduction half-reaction needs 6 electrons, so we multiply it by 3 to match the 6 electrons in the oxidation half-reaction.