Which of the following represents the chemical equation involved in the preparation of `H_(2)O_(2)` from barium peroxide ?

Options

A. `BaO_(2).8H_(2)O + H_(2)SO_(4) to BaSO_(4) + H_(2)O_(2) + 8H_(2)O`
B. `CH_(3)CHOHCH_(3) + O_(2) to CH_(3) COCH_(3) + H_(2)O_(2)`
C. `BaO_(2) + CO_(2) + 3H_(2)O to BaCO_(3) + H_(2)O_(2)`
D. `Ba_(3)(PO_(4))_(2) + 3H_(2)SO_(4) to 3BaSO_(4) + 2H_(3)PO_(4)`

Explanation

To determine the correct chemical equation for the preparation of hydrogen peroxide (H₂O₂) from barium peroxide (BaO₂), we need to analyze the provided options step by step.

### Step 1: Understand the Reactants and Products
We are looking for a reaction where barium peroxide (BaO₂) is a reactant and hydrogen peroxide (H₂O₂) is a product.

### Step 2: Analyze Each Option
1. **Option 1**: Barium peroxide reacts with sulfuric acid to give barium sulfate and hydrogen peroxide.
- **Chemical Equation**: BaO₂ + H₂SO₄ → BaSO₄ + H₂O₂
- This option produces hydrogen peroxide from barium peroxide.

2. **Option 2**: Isopropyl alcohol reacts with oxygen to give ketone and hydrogen peroxide.
- This reaction does not involve barium peroxide and does not produce hydrogen peroxide as a product.

3. **Option 3**: Barium peroxide reacts with carbon dioxide to give barium carbonate plus H₂O₂.
- **Chemical Equation**: BaO₂ + CO₂ → BaCO₃ + H₂O₂
- This option also produces hydrogen peroxide from barium peroxide.

4. **Option 4**: Barium phosphate reacts with sulfuric acid to give barium sulfate plus phosphoric acid.
- This reaction does not involve barium peroxide and does not produce hydrogen peroxide.

### Step 3: Identify the Correct Option
From the analysis:
- **Option 1** produces hydrogen peroxide from barium peroxide.
- **Option 3** also produces hydrogen peroxide from barium peroxide.

However, the question asks for the method that is widely used in the industrial preparation of H₂O₂.

### Conclusion
The correct answer is **Option 3**: Barium peroxide reacts with carbon dioxide to give barium carbonate and hydrogen peroxide. This method is widely used in the industrial manufacture of hydrogen peroxide.

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