Let's evaluate the reactions: \begin{itemize} \item
Option I: Liberation of iodine from KI – This is true. KMnO$_4$ acts as an oxidizing agent in acidic medium and liberates iodine (I$_2$) from KI. \item
Option II: Conversion of Fe$^{2+}$ to Fe$^{3+}$ – This is true. KMnO$_4$ oxidizes Fe$^{2+}$ to Fe$^{3+}$ in acidic medium. \item
Option III: Oxidation of nitrite to nitrate – This is true. KMnO$_4$ oxidizes nitrites (NO$_2^-$) to nitrates (NO$_3^-$) in acidic medium. \item
Option IV: Oxidation of iodide to iodine – This is false. Although KMnO$_4$ can oxidize iodide (I$^-$) in alkaline or neutral medium, it doesn't typically oxidize iodide to iodine in acidic medium. \end{itemize} Thus, the correct set of reactions is I, II, and III.
Match the following carboxylic acids with their pKa values.