KMnO4 acts as an oxidizing agent in an acidic medium.
Step 1: Understanding the Oxidizing Action of KMnO4 in Acidic Medium
- Potassium permanganate (KMnO4) is a strong oxidizing agent.
- In acidic medium, it undergoes reduction, converting Mn in +7 oxidation state to Mn in +2 oxidation state.
Step 2: Balanced Redox Reaction in Acidic Medium
The half-reaction for the reduction of permanganate ion in acidic solution is:
\[
MnO_4^- + 8H^+ + 5e^- \rightarrow Mn^{2+} + 4H_2O
\]
This means that one mole of MnO4- accepts 5 electrons to form Mn2+.
Step 3: Ratio of Electrons Gained to MnO4- Ions Reduced
- The equivalent weight concept states that the oxidizing action in acidic medium follows a 2:5 ratio.
- This means that for every 2 moles of MnO4-, 5 moles of electrons are transferred.
Step 4: Conclusion
Thus, the oxidizing action of KMnO4 in acidic solution follows the ratio \( \frac{2}{5} \).
Complete the following reactions by writing the structure of the main products:
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]