Complete the following chemical equations :
(i) `KMnO_4 overset(513K)(to)`
(ii) `MnO_2 + KOH + O_2 to `

Explanation

To complete the given chemical equations, we will analyze each reaction step by step.

### Step 1: Analyze the first reaction
The first reaction is:
\[ \text{KMnO}_4 \overset{513K}{\rightarrow} \]

When potassium permanganate (KMnO4) is heated at 513 K, it decomposes into potassium manganate (K2MnO4), manganese dioxide (MnO2), and oxygen gas (O2).

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