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The concentration of $[H^{+}]$ and concentration of $[O H^{-}]$ of a $0.1 M$ aqueous solution of 2% ionized weak acid is [ionic product of water $= 1.0 \times 10^{- 14}$ ]

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$0.02 \times 10^{- 3} M$ and $5 \times 10^{- 11} M$

$1 \times 10^{- 3} M$ and $3 \times 10^{- 11} M$

$2 \times 10^{- 3} M$ and $5 \times 10^{- 12} M$

$3 \times 10^{- 2} M$ and $4 \times 10^{- 13} M$

answer is C.

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Detailed Solution

$[H^{+}] = c α$

$= 0.1 \times \frac{2}{100} = 2 \times 10^{- 3} M$

$[O H^{-}] = \frac{10^{- 14}}{2 \times 10^{- 3}} = 5 \times 10^{- 12} M$

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