1.

`H_(2) SO_(2)` solution `(20 mL)` reacts quantitatively with a solution of `KMnO_(4) (20 mL)` acidified is just dilute `H_(2) SO_(4)`. The same volume of the `KMnO_(4)` solution is just decolourised by `10 mL` of `MnSO_(4)` in neutral medium. simulataneously forming a dark brown precipitate of hydrated `MnO_(2)`. The brown precipitate is dissolved in `10 mL` of `0.2 M` sodium oxalate under boiling condition in the presence of dilute `H_(2) SO_(4)`. Write the balanced equations involved in the reactions and calculate the molarity of `H_(2) O_(2)` solution.

Answer» Take the balanced equations as follows:
`2MnO_(4)^(ɵ) + 6 H^(o+) + 5 H_(2) O_(2) rarr 2 Mn^(2+) + 8 H_(2) O + 5 O_(2)`
`2 MnO_(4)^(ɵ) + 2 Mn^(2+) rarr 5 MnO_(2)`
`MnO_(2) + C_(2) O_(4)^(2-) + 4 H^(o+) rarr Mn^(2+) + 2 H_(2) O + 2CO_(2)`
To find molarity of `H_(2) O_(2)`
Given:
`20 mL H_(2) O_(2) -= 20 mL KMnO_(4)//H^(o+)`
`20 mL KMnO_(4) -= mL MnSO_(4) rarr MnO_(2)`
`MnO_(2) -= 10 mL (0.2 M) Na_(2) C_(2) O_(4)`
From stoichiometry of above reactions:
1 mmol of `Na_(2) C_(2) O_(4) -= 1 mmol MnO_(2)`
`implies 0.2 xx 10 mmol of Na_(2) C_(2) O_(4) -= 2 mmol of MnO_(2)`
Also, 5 mmol of `MnO_(2) -= 3 mmol of Mn^(2+)`
`implies 2 mmol of MnO_(2) -= (3)/(5) xx 2`
`-= (6)/(5) mmol of Mn^(2+) (MnSO_(4))`
Also, 3 mmol of `MnSO_(4) -= 2 mmol KMnO_(4)`
`implies (6)/(5) mmol of MnSO_(4) -= (2)/(3) xx (6)/(5) = mmol KMnO_(4)`
Now same amount of `KMnO_(4)` reacts completely with `H_(2) O_(2)`.
`2 mmol of H_(2) SO_(4) -= 5 mmol of H_(2) O_(2)`
`implies 2 mmol of KMnO_(4) -= (5)/(2) xx (4)/(5) = 2 mmol of H_(2) O_(2)`
Now mmol of `H_(2) O_(2) = MV_(mL)`.
`implies 2 = M xx 20 implies M = 0.1`


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