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25 mL of 0.04 M KMnO ₄ solution is required to completely titrate 50 mL of an oxalic acid ( H ₂ C ₂ O ₄ ) solution in an acidic medium. The molarity of the oxalic acid solution is x 10⁻² M . The value of x is

Correct answer

5

Step-by-step solution

In an acidic medium, the n-factor of KMnO ₄ is 5 because Mn ⁷⁺ is reduced to Mn ²⁺ . The n-factor of oxalic acid ( H ₂ C ₂ O ₄ ) is 2 because carbon is oxidized from +3 to +4 state (two carbon atoms per molecule). According to the law of equivalence: Equivalents of KMnO ₄ = Equivalents of H ₂ C ₂ O ₄ M₁ V₁ n₁ = M₂ V₂ n₂ 0.04 25 5 = M₂ 50 2 5 = 100 M₂ M₂ = 0.05 M The molarity of the oxalic acid solution is 5 10⁻² M . Thus, the value of x is 5 . Answer: 5

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