Give the reaction of `H_2O_2` with the following :
i) acidified `MnO_2`
ii) `KMnO_4`

Answer

To solve the question regarding the reactions of hydrogen peroxide (H₂O₂) with acidified manganese dioxide (MnO₂) and potassium permanganate (KMnO₄), we will go through each reaction step by step.

### Reaction with Acidified MnO₂

1. **Identify the Reactants**: The reactants are H₂O₂ and acidified MnO₂. Acidified MnO₂ is typically represented as MnO₂ in the presence of sulfuric acid (H₂SO₄).

2. **Write the Reaction**:
\[ \text{H}_2\text{O}_2 + \text{MnO}_2 + \text{H}_2\text{SO}_4 \rightarrow \text{MnSO}_4 + \text{H}_2\text{O} + \text{O}_2 \]

3. **Balance the Equation**:
- The unbalanced equation is:
\[ \text{H}_2\text{O}_2 + \text{MnO}_2 + \text{H}_2\text{SO}_4 \rightarrow \text{MnSO}_4 + \text{H}_2\text{O} + \text{O}_2 \]
- Balancing gives:
\[ 2 \text{H}_2\text{O}_2 + \text{MnO}_2 + \text{H}_2\text{SO}_4 \rightarrow \text{MnSO}_4 + 2 \text{H}_2\text{O} + \text{O}_2 \]

### Reaction with KMnO₄

1. **Identify the Reactants**: The reactants are H₂O₂ and KMnO₄.

2. **Write the Reaction**:
\[ \text{H}_2\text{O}_2 + \text{KMnO}_4 \rightarrow \text{MnO}_2 + \text{KOH} + \text{H}_2\text{O} + \text{O}_2 \]

3. **Balance the Equation**:
- The unbalanced equation is:
\[ \text{H}_2\text{O}_2 + \text{KMnO}_4 \rightarrow \text{MnO}_2 + \text{KOH} + \text{H}_2\text{O} + \text{O}_2 \]
- Balancing gives:
\[ 2 \text{KMnO}_4 + 3 \text{H}_2\text{O}_2 \rightarrow 2 \text{MnO}_2 + 2 \text{KOH} + 2 \text{H}_2\text{O} + 3 \text{O}_2 \]

### Summary of Reactions

1. **Reaction with Acidified MnO₂**:
\[ 2 \text{H}_2\text{O}_2 + \text{MnO}_2 + \text{H}_2\text{SO}_4 \rightarrow \text{MnSO}_4 + 2 \text{H}_2\text{O} + \text{O}_2 \]

2. **Reaction with KMnO₄**:
\[ 2 \text{KMnO}_4 + 3 \text{H}_2\text{O}_2 \rightarrow 2 \text{MnO}_2 + 2 \text{KOH} + 2 \text{H}_2\text{O} + 3 \text{O}_2 \]