Related Formula
Equivalents of KMnO₄ = Equivalents of I₂ = Equivalents of Na₂S₂O₃$$\text{Equivalents of } KMnO_4 = \text{Equivalents of } I_2 = \text{Equivalents of } Na_2S_2O_3$$
Core Logic
In a basic medium, permanganate (MnO₄^-$MnO_4^-$) is reduced to MnO₂$MnO_2$, with an n-factor of 3. Iodide (I^-$I^-$) is oxidized to I₂$I_2$.\nThe liberated I₂$I_2$ is titrated with thiosulfate (S₂O₃²⁻$S_2O_3^{2-}$), which is oxidized to tetrathionate (S₄O₆²⁻$S_4O_6^{2-}$) with an n-factor of 1 per thiosulfate molecule.
Step 1: Determine the Limiting Reagent
Equivalents of KMnO₄ = M × V(L) × n-factor = 0.2 × 0.5 × 3 = 0.3~eq$KMnO_4 = M \times V(L) \times n\text{-factor} = 0.2 \times 0.5 \times 3 = 0.3\mathrm{~eq}$.\nEquivalents of KI = M × V(L) × n-factor = 1.2 × 0.5 × 1 = 0.6~eq$KI = M \times V(L) \times n\text{-factor} = 1.2 \times 0.5 \times 1 = 0.6\mathrm{~eq}$.\nKMnO₄$KMnO_4$ is the limiting reagent. It will completely react to liberate exactly 0.3$0.3$ equivalents of I₂$I_2$.
Step 2: Titration with Thiosulfate
Equivalents of Na₂S₂O₃$Na_2S_2O_3$ consumed = Equivalents of I₂$I_2$ liberated = 0.3~eq$0.3\mathrm{~eq}$.\n0.3 = M × V(L) × n-factor$$0.3 = M \times V(L) \times n\text{-factor}$$\n0.3 = 0.1 × V × 1$$0.3 = 0.1 \times V \times 1$$\nV = (0.3)/(0.1) = 3~L$$V = \frac{0.3}{0.1} = 3\mathrm{~L}$$
Pattern Recognition
In iodometric titrations, equivalents transfer sequentially 1:1. The n-factor of KMnO₄$KMnO_4$ shifts radically based on medium (5$5$ acidic, 3$3$ neutral/weakly basic, 1$1$ strongly basic). Here, basic medium means n=3$n=3$.
Chapter Mix
Class 11 Chemistry: Redox Reactions