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← JEE Advanced 2015 · Paper 2
ChemistryInteger+4Question 28 of 60

JEE Advanced 2015 · Paper 2, Chemistry question 28

In dilute aqueous HX2SOX4\ce{H2SO4}, the complex diaquodioxalatoferrate(II) is oxidized by MnOX4X−\ce{MnO4-}. For this reaction, the ratio of the rate of change of [HX+][\ce{H+}] to the rate of change of [MnOX4X−][\ce{MnO4-}] is

Answer and worked solution

Official answer: 8

Electrons lost per complex. In [Fe(HX2O)X2(CX2OX4)X2]X2−\ce{[Fe(H2O)2(C2O4)2]^{2-}}:

  • Fe²⁺ → Fe³⁺: 1 e⁻;
  • two oxalates → 4CO₂: 4 e⁻.

That is 5 e⁻, matching one MnOX4X−\ce{MnO4-} (+7 → +2).

Balanced equation.
[Fe(HX2O)X2(CX2OX4)X2]X2−+MnOX4X−+8 HX+→FeX3++MnX2++4 COX2+6 HX2O.\ce{[Fe(H2O)2(C2O4)2]^{2-} + MnO4- + 8H+ -> Fe^{3+} + Mn^{2+} + 4CO2 + 6H2O}.

Ratio. 8 H⁺ are used per MnO₄⁻.

Answer: 8