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3 mole of a mixture of FeSO4 and Fe2(SO4)3 required 100 ml of 2M KMnO4 solution in acidic medium. Hence mole fraction of FeSO4 in the mixture is
  • a)
    3/5
  • b)
    2/3
  • c)
    2/5
  • d)
    1/3
Correct answer is option 'D'. Can you explain this answer?
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3 mole of a mixture of FeSO4 and Fe2(SO4)3 required 100 ml of 2M KMnO4...
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3 mole of a mixture of FeSO4 and Fe2(SO4)3 required 100 ml of 2M KMnO4...
Given:
- 3 moles of a mixture of FeSO4 and Fe2(SO4)3
- 100 ml of 2M KMnO4 solution in acidic medium

To find:
- Mole fraction of FeSO4 in the mixture

Solution:
1. Write the balanced chemical equation for the reaction between FeSO4 and KMnO4 in acidic medium:
5FeSO4 + 2KMnO4 + 8H2SO4 → 5Fe2(SO4)3 + K2SO4 + 2MnSO4 + 8H2O

2. From the equation, we can see that each mole of FeSO4 reacts with 2/5 moles of KMnO4.
So, 3 moles of the mixture will react with (2/5) x 3 = 6/5 moles of KMnO4.

3. We know that 100 ml of 2M KMnO4 solution contains 2 x (100/1000) = 0.2 moles of KMnO4.
Therefore, 6/5 moles of KMnO4 will be present in (6/5) / 0.2 = 3 moles of the mixture.

4. Let x be the mole fraction of FeSO4 in the mixture.
Then, the mole fraction of Fe2(SO4)3 will be (1-x).

5. Using the reaction stoichiometry, we can write:
3x moles of FeSO4 will react with 2(1-x) moles of Fe2(SO4)3.
Therefore, 3x + 2(1-x) = 3 moles (total moles of mixture)

6. Solving for x, we get:
x = 1/3

Therefore, the mole fraction of FeSO4 in the mixture is 1/3, which is option (d).
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3 mole of a mixture of FeSO4 and Fe2(SO4)3 required 100 ml of 2M KMnO4...
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3 mole of a mixture of FeSO4 and Fe2(SO4)3 required 100 ml of 2M KMnO4 solution in acidic medium. Hence mole fraction of FeSO4 in the mixture isa)3/5b)2/3c)2/5d)1/3Correct answer is option 'D'. Can you explain this answer?
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