To balance the reaction \( \text{Cl}_2\text{O}_5 + \text{H}_2\text{O} \rightarrow \text{HClO}_3 \), we can follow these steps:
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Identify the number of each atom on both sides:
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Reactants:
- Cl: 2 (from Cl2O5)
- O: 5 (from Cl2O5) + 1 (from H2O) = 6
- H: 2 (from H2O)
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Products:
- Cl: 1 (from HClO3)
- O: 3 (from HClO3)
- H: 1 (from HClO3)
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Start balancing Cl:
- We have 2 Cl atoms in the reactants, so we need 2 HClO3 in the products: \[ \text{Cl}_2\text{O}_5 + \text{H}_2\text{O} \rightarrow 2 \text{HClO}_3 \]
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Update the count of products:
- Reactants:
- Cl: 2
- O: 5 + 1 = 6
- H: 2
- Products:
- Cl: 2 (from 2 HClO3)
- O: 3 × 2 = 6 (from 2 HClO3)
- H: 1 × 2 = 2 (from 2 HClO3)
- Reactants:
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Confirm the balance:
- Cl: 2 = 2
- O: 6 = 6
- H: 2 = 2
The balanced equation now looks like: \[ \text{Cl}_2\text{O}_5 + 2 \text{H}_2\text{O} \rightarrow 2 \text{HClO}_3 \]
Thus, the coefficients are:
- For Cl2O5: 1
- For H2O: 2
- For HClO3: 2
This corresponds to the option 1, 2, 2.