In a dilute alkaline solution, the permanganate ion \( \text{MnO}_4^- \) undergoes a chemical reduction reaction to form the manganate ion \( \text{MnO}_4^{2-} \). This process can be explained by analyzing the changes in oxidation states and balancing the resultant half-reaction in a basic environment.
When potassium permanganate \( \text{KMnO}_4 \) is dissolved in a dilute alkaline solution, the \(\text{MnO}_4^-\) ion is reduced. The reaction can be represented as follows:
Reduction half-reaction:
\( \text{MnO}_4^- + e^- \rightarrow \text{MnO}_4^{2-} \)
In this reaction, the oxidation state of manganese changes from +7 in \( \text{MnO}_4^- \) to +6 in \( \text{MnO}_4^{2-} \). This change indicates a gain of one electron, demonstrating a reduction process. In an alkaline medium, the addition of hydroxide ions \( \text{OH}^- \) assists in maintaining charge balance:
\( \text{MnO}_4^- + \text{e}^- + \text{OH}^- \rightarrow \text{MnO}_4^{2-} + \text{OH}^- \)
Thus, in dilute alkaline conditions, \( \text{MnO}_4^- \) will most commonly convert into \( \text{MnO}_4^{2-} \), which is known as the manganate ion.
Arrange the following redox couples in the increasing order of their reducing strength:
Cu$^{2+}$/Cu$^{+}$ $E^\circ = -0.34$ V
Ag$^+$/Ag $E^\circ = -0.8$ V
Ca$^{2+}$/Ca $E^\circ = +2.87$ V
Cr$^{3+}$/Cr$^{2+}$ $E^\circ = +0.74$ V