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Which balances the equation [tex]Mg + O_2 \rightarrow MgO[/tex]?

A. [tex]Mg + 2 O_2 \rightarrow 4 MgO[/tex]

B. [tex]2 Mg + 2 O_2 \rightarrow 2 MgO[/tex]

C. [tex]2 Mg + O_2 \rightarrow 2 MgO[/tex]

D. [tex]2 Mg + 2 O_2 \rightarrow 4 MgO[/tex]

Sagot :

GinnyAnswer
To determine which balanced chemical equation matches the given reaction [tex]\( \text{Mg} + \text{O}_2 \rightarrow \text{MgO} \)[/tex], we need to ensure that the number of atoms of each element is the same on both sides of the equation.

Let's examine each of the provided equations one at a time:

### 1. [tex]\( \text{Mg} + 2 \text{O}_2 \rightarrow 4 \text{MgO} \)[/tex]
- Reactants:
- Mg: 1
- O: [tex]\(2 \times 2 = 4\)[/tex]
- Products:
- Mg: 4
- O: [tex]\(4 \times 1 = 4\)[/tex]

The magnesium atoms are not balanced: 1(on the left) ≠ 4 (on the right). Therefore, this equation is not balanced.

### 2. [tex]\( 2 \text{Mg} + 2 \text{O}_2 \rightarrow 2 \text{MgO} \)[/tex]
- Reactants:
- Mg: 2
- O: [tex]\(2 \times 2 = 4\)[/tex]
- Products:
- Mg: 2
- O: [tex]\(2 \times 1 = 2\)[/tex]

The oxygen atoms are not balanced: 4 (on the left) ≠ 2 (on the right). Therefore, this equation is not balanced.

### 3. [tex]\( 2 \text{Mg} + \text{O}_2 \rightarrow 2 \text{MgO} \)[/tex]
- Reactants:
- Mg: 2
- O: 2
- Products:
- Mg: 2
- O: [tex]\(2 \times 1 = 2\)[/tex]

Both the magnesium and oxygen atoms are balanced: 2 Mg on both sides and 2 O atoms on both sides. Therefore, this equation is balanced.

### 4. [tex]\( 2 \text{Mg} + 2 \text{O}_2 \rightarrow 4 \text{MgO} \)[/tex]
- Reactants:
- Mg: 2
- O: [tex]\(2 \times 2 = 4\)[/tex]
- Products:
- Mg: 4
- O: [tex]\(4 \times 1 = 4\)[/tex]

The magnesium atoms are not balanced: 2 (on the left) ≠ 4 (on the right). Therefore, this equation is not balanced.

### Conclusion
The balanced chemical equation for [tex]\( \text{Mg} + \text{O}_2 \rightarrow \text{MgO} \)[/tex] is:
[tex]\[2 \text{Mg} + \text{O}_2 \rightarrow 2 \text{MgO}\][/tex]

This corresponds to option 3.
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