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On electrolyzing K₂SO₄ solution using inert electrodes, 1.68L(STP) of gases was obtained. How many moles of ${MnO}_{4}^{-}$ could be reduced to 𝑀𝑛²⁺ by the same quantity of electricity?

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0.02

0.15

0.20

0.10

answer is A.

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Detailed Solution

$2 H_{2} O \to 2 H^{+} + 20 H^{-}$

$K_{2} {SO}_{4} \to 2 K^{+} + {SO}_{4}^{- 2}$

$A : 20 H^{-} \to H_{2} O + \frac{1}{2} O_{2} + 2 e^{-}$

$C : 2 H^{+} + 2 e^{-} \to H_{2}$

$2 F_____\frac{3}{2} moles of gases - 33.6 ltrs$

$x____________1.68 ltrs$

$x = \frac{0.1}{5} x 1 = 0.02 moles of {MnO}_{4}^{-}$

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