1. What coefficients would balance the following equation? Al $$ +\ldots \mathrm{O}_{2} \rightarrow $$ Al2 $$ \mathrm{O}_{3} $$ $$ 2 \mathrm{Al}+3 \mathrm{O}_{2} \rightarrow 1 \mathrm{Al}_{2} \mathrm{O}_{3} $$ $$ 2 \mathrm{Al}+3 \mathrm{O}_{2} \rightarrow 2 \mathrm{Al}_{2} \mathrm{O}_{3} $$ $$ 3 \mathrm{Al}+3 \mathrm{O}_{2} \rightarrow 2 \mathrm{Al}_{2} \mathrm{O}_{3} $$ $$ 4 \mathrm{Al}+3 \mathrm{O}_{2} \rightarrow 2 \mathrm{Al}_{2} \mathrm{O}_{3} $$

Question

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To balance the chemical equation:

$$
\text{Al} + \mathrm{O}_2 \rightarrow \mathrm{Al}_2\mathrm{O}_3
$$

Let's determine the correct coefficients step-by-step.

1. **Write the unbalanced equation with coefficients:**
   
   $$
   a\,\text{Al} + b\,\mathrm{O}_2 \rightarrow c\,\mathrm{Al}_2\mathrm{O}_3
   $$

2. **Balance the aluminum (Al) atoms:**
   
   - On the left: $$ a $$ Al atoms
   - On the right: $$ 2c $$ Al atoms
   
   $$
   a = 2c
   $$

3. **Balance the oxygen (O) atoms:**
   
   - On the left: $$ 2b $$ O atoms
   - On the right: $$ 3c $$ O atoms
   
   $$
   2b = 3c
   $$

4. **Find integer solutions for $$ a $$, $$ b $$, and $$ c $$:**
   
   - From $$ 2b = 3c $$, choose $$ c = 2 $$ (smallest integer making $$ b $$ an integer)
   - Then, $$ b = 3 $$
   - From $$ a = 2c $$, $$ a = 4 $$

5. **Write the balanced equation:**
   
   $$
   4\,\text{Al} + 3\,\mathrm{O}_2 \rightarrow 2\,\mathrm{Al}_2\mathrm{O}_3
   $$

**Therefore, the correct balanced equation corresponds to option 4:**

$$
4\,\text{Al} + 3\,\mathrm{O}_2 \rightarrow 2\,\mathrm{Al}_2\mathrm{O}_3
$$

**Answer:**  
$$ 4\,\mathrm{Al} + 3\,\mathrm{O}_{2} \rightarrow 2\,\mathrm{Al}_{2}\mathrm{O}_{3} $$
The balanced equation is: $$ 4\,\mathrm{Al} + 3\,\mathrm{O}_{2} \rightarrow 2\,\mathrm{Al}_{2}\mathrm{O}_{3} $$

What coefficients would balance the following equation?
Al Al2

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What coefficients would balance the following equation? Al Al2