`KMnO_(4) overset(Delta) to K_(2)MnO_(4)+MnO_(2)+O_(2)uarr`

Options

A. For disproportionation reaction.
B. For comproportionation reaction.
C. For either intermolecular redox reaction or displacement reaction
D. For either thermal combination redox reaction or thermal decomposition redox reaction.

Answer

To solve the given reaction \( KMnO_4 \overset{\Delta}{\rightarrow} K_2MnO_4 + MnO_2 + O_2 \), we will analyze the changes in oxidation states and classify the type of reaction.

### Step 1: Write the balanced equation
The reaction involves the thermal decomposition of potassium permanganate (KMnO4) upon heating. The products formed are potassium manganate (K2MnO4), manganese dioxide (MnO2), and oxygen gas (O2).

### Step 2: Determine oxidation states
1. **In KMnO4**:
- Potassium (K) = +1
- Oxygen (O) = -2 (4 O atoms contribute -8)
- Let the oxidation state of manganese (Mn) be \( x \).
- The equation for oxidation state: \( +1 + x + 4(-2) = 0 \)
- This simplifies to \( x - 7 = 0 \) → \( x = +7 \).

2. **In K2MnO4**:
- Potassium (K) = +1 (2 K atoms contribute +2)
- Oxygen (O) = -2 (4 O atoms contribute -8)
- Let the oxidation state of manganese (Mn) be \( y \).
- The equation for oxidation state: \( 2 + y + 4(-2) = 0 \)
- This simplifies to \( y - 6 = 0 \) → \( y = +6 \).

3. **In MnO2**:
- Oxygen (O) = -2 (2 O atoms contribute -4)
- Let the oxidation state of manganese (Mn) be \( z \).
- The equation for oxidation state: \( z + 2(-2) = 0 \)
- This simplifies to \( z - 4 = 0 \) → \( z = +4 \).

### Step 3: Analyze changes in oxidation states
- In KMnO4, Mn is +7.
- In K2MnO4, Mn is +6 (reduction).
- In MnO2, Mn is +4 (reduction).

### Step 4: Determine if it is a disproportionation reaction
In a disproportionation reaction, a single species undergoes both oxidation and reduction. Here, Mn is reduced from +7 to +6 and +4, but it is not oxidized. Therefore, this is **not** a disproportionation reaction.

### Step 5: Classify the reaction
Since KMnO4 decomposes into multiple products upon heating, this is classified as a **thermal decomposition reaction**.

### Final Answer
The reaction \( KMnO_4 \overset{\Delta}{\rightarrow} K_2MnO_4 + MnO_2 + O_2 \) is a **thermal decomposition reaction**.

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