Concept: The oxidizing power of oxoanions of transition metals depends on their reduction potentials, which are influenced by the stability of the lower oxidation states.
• Oxidation States: In MnO\textsubscript{4}\textsuperscript{--}, Mn is in +7. In Cr\textsubscript{2}O\textsubscript{7}\textsuperscript{2--}, Cr is in +6. In VO\textsubscript{2}\textsuperscript{+}, V is in +5.
• Electrode Potentials ($E^0$): Higher positive reduction potential values indicate a stronger oxidizing agent.
Step 1: Compare the standard reduction potentials.
- For $MnO_4^- / Mn^{2+}$, $E^0 \approx +1.51$ V.
- For $Cr_2O_7^{2-} / Cr^{3+}$, $E^0 \approx +1.33$ V.
- For $VO_2^+ / VO^{2+}$, $E^0 \approx +1.00$ V.
Step 2: Determine the order.
Permanganate is the strongest oxidizer in this group because Manganese is highly unstable in the +7 state and has the highest affinity for electrons. Chromate follows, and Vanadate is the weakest of the three.
Descending order: $MnO_4^- > Cr_2O_7^{2-} > VO_2^+$.