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Problems · Problem 7.10

Q.Permanganate(VII) ion, MnO4–, in basic medium, oxidises iodide ion (I–) to produce molecular iodine (I2) and manganese dioxide (MnO2). Write a balanced ionic equation to represent this reaction.

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In basic solution, permanganate (MnO4−\text{MnO}_4^-) oxidises iodide (I−\text{I}^-) to iodine (I2\text{I}_2) and is itself reduced to manganese dioxide (MnO2\text{MnO}_2). Using the half-reaction method, the balanced ionic equation is

6I−+2MnO4−+4H2O→3I2+2MnO2+8OH−6\text{I}^- + 2\text{MnO}_4^- + 4\text{H}_2\text{O} \rightarrow 3\text{I}_2 + 2\text{MnO}_2 + 8\text{OH}^-

The Concept: Permanganate in Basic Medium

Permanganate is a powerful oxidising agent, but its reduction product depends critically on the pH of the solution. In acidic medium, it goes all the way down to Mn2+\text{Mn}^{2+} (colourless). In basic medium, the reduction stops at MnO2\text{MnO}_2, a dark brown solid, because Mn2+\text{Mn}^{2+} is unstable in base and would immediately precipitate and oxidise further.

Watch out

A common mistake is to assume permanganate always reduces to Mn2+\text{Mn}^{2+}. In basic solution, the product is MnO2\text{MnO}_2, not Mn2+\text{Mn}^{2+} — the colour change is from purple (MnO4−\text{MnO}_4^-) to brown (MnO2\text{MnO}_2), not to colourless.

Step-by-Step: The Half-Reaction (Ion-Electron) Method

1. Write the skeletal ionic equation.

MnO4−(aq)+I−(aq)→MnO2(s)+I2(s)\text{MnO}_4^-(aq) + \text{I}^-(aq) \rightarrow \text{MnO}_2(s) + \text{I}_2(s)

2. Split into the two half-reactions.

Oxidation half: I−(aq)→I2(s)\text{I}^-(aq) \rightarrow \text{I}_2(s)

Reduction half: MnO4−(aq)→MnO2(s)\text{MnO}_4^-(aq) \rightarrow \text{MnO}_2(s)

3. Balance atoms other than O and H.

Oxidation half needs 2 iodide ions to give 1 I2\text{I}_2:

2I−(aq)→I2(s)2\text{I}^-(aq) \rightarrow \text{I}_2(s)

Reduction half already has 1 Mn on each side.

4. Balance O and H — first as if in acidic medium, then convert to basic.

For the reduction half, balance O by adding 2H2O2\text{H}_2\text{O} to the right:

MnO4−(aq)→MnO2(s)+2H2O(l)\text{MnO}_4^-(aq) \rightarrow \text{MnO}_2(s) + 2\text{H}_2\text{O}(l)

Balance H by adding 4H+4\text{H}^+ to the left:

MnO4−(aq)+4H+(aq)→MnO2(s)+2H2O(l)\text{MnO}_4^-(aq) + 4\text{H}^+(aq) \rightarrow \text{MnO}_2(s) + 2\text{H}_2\text{O}(l)

Convert to basic medium: add 4OH−4\text{OH}^- to both sides, combine H++OH−\text{H}^+ + \text{OH}^- into H2O\text{H}_2\text{O} on the left, then cancel 2H2O2\text{H}_2\text{O} common to both sides:

MnO4−(aq)+2H2O(l)→MnO2(s)+4OH−(aq)\text{MnO}_4^-(aq) + 2\text{H}_2\text{O}(l) \rightarrow \text{MnO}_2(s) + 4\text{OH}^-(aq)

5. Balance charge by adding electrons.

Oxidation half: left charge −2-2, right charge 00 — add 2e−2e^- to the right:

2I−(aq)→I2(s)+2e−2\text{I}^-(aq) \rightarrow \text{I}_2(s) + 2e^-

Reduction half: left charge −1-1, right charge −4-4 — add 3e−3e^- to the left: …

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