Write the balanced chemical equations for the following reactions:
$(1)$ Reaction between $MnO_4^-$ and $I^-$ in neutral or faintly alkaline solution.
$(2)$ Reaction between $MnO_4^-$ and $C_2O_4^{2-}$ in acidic medium $(H^+)$.
$(1)$ Reaction between $MnO_4^-$ and $I^-$ in neutral or faintly alkaline solution.
$(2)$ Reaction between $MnO_4^-$ and $C_2O_4^{2-}$ in acidic medium $(H^+)$.
(N/A) $(1)$ In neutral or faintly alkaline solution,$MnO_4^-$ oxidizes $I^-$ to $IO_3^-$. The balanced equation is:
$2MnO_4^- + I^- + H_2O \rightarrow 2MnO_2 + IO_3^- + 2OH^-$
$(2)$ In acidic medium,$MnO_4^-$ oxidizes oxalate ions $(C_2O_4^{2-})$ to $CO_2$. The balanced equation is:
$2MnO_4^- + 5C_2O_4^{2-} + 16H^+ \rightarrow 2Mn^{2+} + 10CO_2 + 8H_2O$
$2MnO_4^- + I^- + H_2O \rightarrow 2MnO_2 + IO_3^- + 2OH^-$
$(2)$ In acidic medium,$MnO_4^-$ oxidizes oxalate ions $(C_2O_4^{2-})$ to $CO_2$. The balanced equation is:
$2MnO_4^- + 5C_2O_4^{2-} + 16H^+ \rightarrow 2Mn^{2+} + 10CO_2 + 8H_2O$
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