To balance the skeleton equation \( \text{NO} \rightarrow \text{N}_2 + \text{O}_2 \), we need to ensure that the number of each type of atom on the reactant side equals the number on the product side.
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Counting atoms in the unbalanced equation:
- Reactants:
- 1 Nitrogen (N) from NO
- 1 Oxygen (O) from NO
- Products:
- 2 Nitrogens (N) from N₂
- 2 Oxygens (O) from O₂
- Reactants:
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Balancing Nitrogen: To balance Nitrogen, we put a coefficient of 2 in front of NO: \[ 2 \text{NO} \rightarrow \text{N}_2 + \text{O}_2 \]
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Counting atoms again:
- Reactants:
- 2 Nitrogens (N)
- 2 Oxygens (O)
- Products:
- 2 Nitrogens (N)
- 2 Oxygens (O)
- Reactants:
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Final balanced equation: \[ 2 \text{NO} \rightarrow 1 \text{N}_2 + 1 \text{O}_2 \]
Thus, the coefficients that balance the equation are 2, 1, 1.
So the correct response is: 2, 1, 1.