Balance the chemical equation: □ Al + □ O₂ → □ Al₂O₃
The balanced equation is $4Al + 3O_2 \rightarrow 2Al_2O_3$. This uses coefficients 4, 3, and 2 so both sides have 4 Al atoms and 6 O atoms.
What you are trying to match
A chemical equation is balanced when each element has the same number of atoms on the reactant and product sides.
Balance aluminum first
$Al_2O_3$ contains 2 Al atoms per formula unit, but the reactant side has $Al$ atoms one at a time. Put a 2 in front of $Al_2O_3$ to make the product side have 4 aluminum atoms:
$$Al + O_2 \rightarrow 2Al_2O_3$$
Now balance aluminum by putting a 4 in front of $Al$:
$$4Al + O_2 \rightarrow 2Al_2O_3$$
Balance oxygen using $O_2$
With $2Al_2O_3$, the product side has $2 \times 3 = 6$ oxygen atoms. Since oxygen comes as $O_2$ (pairs), you need 3 molecules of $O_2$ to get 6 oxygen atoms:
$$4Al + 3O_2 \rightarrow 2Al_2O_3$$
Quick check
- Aluminum: left $4$, right $2 \times 2 = 4$
- Oxygen: left $3 \times 2 = 6$, right $2 \times 3 = 6$
So the equation is balanced.
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