Step 1: Understanding the Concept:
Potassium permanganate (KMnO\(_4\)) is a strong oxidizing agent. It decomposes upon heating.
Step 2: Detailed Explanation:
When heated to around 513 K (240\(^\circ\)C), KMnO\(_4\) decomposes according to the following reaction:
\[
2KMnO_4 \xrightarrow{\Delta} K_2MnO_4 + MnO_2 + O_2
\]
The products are potassium manganate (K\(_2\)MnO\(_4\)), manganese dioxide (MnO\(_2\)), and oxygen gas (O\(_2\)).
Step 3: Final Answer:
The products are K\(_2\)MnO\(_4\), MnO\(_2\), and O\(_2\).