Complete and balance the following chemical equations: (a) $$ 2MnO_4^-(aq) + 10I^-(aq) + 16H^+(aq) \rightarrow $$ (b) $$ Cr_2O_7^{2-}(aq) + 6Fe^{2+}(aq) + 14H^+(aq) \rightarrow $$

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(a) Reaction of permanganate with iodide ions: In an acidic solution, permanganate ions ($MnO_4^-$) act as an oxidizing agent and oxidize iodide ions ($I^-$) to iodine ($I_2$). The balanced equation shows the reduction of permanganate to $Mn^{2+}$ and the oxidation of iodide to iodine. $$ 2MnO_4^-(aq) + 10I^-(aq) + 16H^+(aq) \rightarrow 2Mn^{2+}(aq) + 5I_2(aq) + 8H_2O(l) $$ (b) Reaction of dichromate with iron(II) ions: In an acidic solution, dichromate ions ($Cr_2O_7^{2-}$) are reduced to chromium(III) ions ($Cr^{3+}$), while iron(II) ions ($Fe^{2+}$) are oxidized to iron(III) ions ($Fe^{3+}$). $$ Cr_2O_7^{2-}(aq) + 6Fe^{2+}(aq) + 14H^+(aq) \rightarrow 2Cr^{3+}(aq) + 6Fe^{3+}(aq) + 7H_2O(l) $$

Complete and balance the following chemical equations:
(a) \[ 2MnO_4^-(aq) + 10I^-(aq) + 16H^+(aq) \rightarrow \]
(b) \[ Cr_2O_7^{2-}(aq) + 6Fe^{2+}(aq) + 14H^+(aq) \rightarrow \]

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Complete and balance the following chemical equations: (a) \[ 2MnO_4^-(aq) + 10I^-(aq) + 16H^+(aq) \rightarrow \] (b) \[ Cr_2O_7^{2-}(aq) + 6Fe^{2+}(aq) + 14H^+(aq) \rightarrow \]