Complete and balance the following chemical equations:
(a) \(\text{MnO}_4^- + \text{C}_2\text{O}_4^{2-} + \text{H}^+ \to \)
(b) \(\text{KMnO}_4 \xrightarrow{\text{Heat}} \)
(c) \(\text{Cr}_2\text{O}_7^{2-} + \text{H}_2\text{S} + \text{H}^+ \to \)
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Always ensure to balance the number of atoms and charge on both sides of the reaction. Redox reactions often require you to consider electron balance as well.
(a) The balanced equation for the reaction between permanganate and oxalate in acidic medium is: \[ 2\text{MnO}_4^- + 5\text{C}_2\text{O}_4^{2-} + 16\text{H}^+ \to 2\text{Mn}^{2+} + 10\text{CO}_2 + 8\text{H}_2\text{O} \] (b) The reaction of potassium permanganate upon heating gives potassium manganate: \[ 2\text{KMnO}_4 \xrightarrow{\text{Heat}} 2\text{K}_2\text{MnO}_4 + \text{O}_2 \] (c) The reaction between dichromate and hydrogen sulfide in acidic medium is: \[ \text{Cr}_2\text{O}_7^{2-} + 3\text{H}_2\text{S} + 8\text{H}^+ \to 2\text{Cr}^{3+} + 3\text{SO}_2 + 4\text{H}_2\text{O} \]