NVAEasyJEE 2025Oxidation Number & Redox Reactions

JEE Chemistry 2025 Question with Solution

KMnO4\mathrm{KMnO}_{4} acts as an oxidising agent in acidic medium. 'X' is the difference between the oxidation states of Mn\mathrm{Mn} in reactant and product. 'Y' is the number of 'd' electrons present in the brown red precipitate formed at the end of the acetate ion test with neutral ferric chloride. The value of X+Y\mathrm{X}+\mathrm{Y} is _____ .

Answer

Correct answer:10

Step-by-step solution

Standard Method

Given: KMnO4\mathrm{KMnO}_{4} acts as an oxidising agent in acidic medium, and YY is the number of dd electrons in the brown red precipitate formed in the acetate ion test with neutral ferric chloride.

Find: The value of X+Y\mathrm{X}+\mathrm{Y}.

In acidic medium, manganese in KMnO4\mathrm{KMnO}_{4} is reduced from oxidation state +7+7 to +2+2.

X=72=5X = 7 - 2 = 5

The brown red precipitate is taken as a ferric compound containing Fe3+\mathrm{Fe}^{3+}. For iron, neutral configuration is [Ar]4s23d6[\mathrm{Ar}]\,4s^2 3d^6, so for Fe3+\mathrm{Fe}^{3+} the configuration is 3d53d^5.

Y=5Y = 5

Therefore,

X+Y=5+5=10X + Y = 5 + 5 = 10

Therefore, the required numerical value is 1010.

Oxidation State and d-Electron Counting

Given: KMnO4\mathrm{KMnO}_{4} acts as an oxidising agent in acidic medium.

Find: X+Y\mathrm{X}+\mathrm{Y}, where XX is the change in oxidation state of manganese and YY is the number of dd electrons in the brown red precipitate species containing ferric ion.

  1. In KMnO4\mathrm{KMnO}_{4}, manganese is in oxidation state +7+7.
  2. In acidic medium, permanganate is reduced to Mn2+\mathrm{Mn}^{2+}.
X=(+7)(+2)=5X = (+7) - (+2) = 5
  1. The brown red precipitate formed with neutral ferric chloride is treated in the solution as a ferric species, so iron is in oxidation state +3+3.
  2. Iron has atomic number 2626 and electronic configuration [Ar]4s23d6[\mathrm{Ar}]\,4s^2 3d^6.
  3. Removing three electrons to form Fe3+\mathrm{Fe}^{3+} gives 3d53d^5.
Y=5Y = 5

Hence,

X+Y=5+5=10\mathrm{X}+\mathrm{Y} = 5 + 5 = 10

So, the answer is 1010.

Common mistakes

  • Taking the product of KMnO4\mathrm{KMnO}_{4} in acidic medium as manganese dioxide instead of Mn2+\mathrm{Mn}^{2+} is incorrect here. In acidic medium, permanganate is reduced to Mn2+\mathrm{Mn}^{2+}. Always match the reduction product with the medium before calculating the oxidation state change.

  • Counting electrons for neutral iron instead of Fe3+\mathrm{Fe}^{3+} gives the wrong value of YY. The precipitate is treated as a ferric species, so the correct count is based on Fe3+\mathrm{Fe}^{3+}, which has configuration 3d53d^5.

  • Using the oxidation state of manganese directly as X=7X = 7 is wrong because XX is the difference between oxidation states in reactant and product. You must subtract the final oxidation state from the initial oxidation state.

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