The preparation of potassium permanganate (\( KMnO_4 \)) from manganese dioxide (\( MnO_2 \)) is a multi-step reaction. The process involves the following:
- Initially, manganese dioxide (\( MnO_2 \)) is heated with potassium hydroxide (\( KOH \)) and an oxidizing agent such as potassium nitrate (\( KNO_3 \)) or oxygen. The reaction is represented as:
\(MnO_2 + 2KOH + \frac{1}{2}O_2 \rightarrow K_2MnO_4 + H_2O\)
The product of this initial stage, as indicated, is potassium manganate (\( K_2MnO_4 \)), which serves as an intermediate in potassium permanganate synthesis.
- Subsequently, the potassium manganate (\( K_2MnO_4 \)) undergoes further oxidation to yield potassium permanganate (\( KMnO_4 \)). This is typically achieved by bubbling carbon dioxide through the solution or through additional chemical oxidation methods:
\(3K_2MnO_4 + 2CO_2 \rightarrow 2KMnO_4 + 2K_2CO_3 + MnO_2\)
Based on these steps, the product formed in the first reaction is confirmed to be potassium manganate (\( K_2MnO_4 \)).
The following options are incorrect:
- \( K_4[{Mn(OH)}_6] \): This formula is not a recognized product in the synthesis of potassium permanganate.
- \( K_3{MnO}_4 \): The correct formula for potassium manganate is \( K_2{MnO}_4 \), not \( K_3{MnO}_4 \).
- \( KMnO_4 \): This represents the final product, not the product of the initial step.
Consequently, the correct product of the first step is \( K_2{MnO}_4 \).