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Which saturated solution has the highest $[{OH}^{-}]$ ?

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Aluminum hydroxide $(K_{cn} = 1.8 \times 10^{- 32})$

Calcium hydroxide $(K_{cn} = 8.0 \times 10^{- 6})$

Iron (II) hydroxide $(K_{s p} = 1.6 \times 10^{- 14})$

Magnesium hydroxide $(K_{s p} = 1.2 \times 10^{- 11})$

answer is B.

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Detailed Solution

(a) $[{OH}^{-}] = 3 [\sqrt[4]{\frac{1.8 \times 10^{- 32}}{27}}]$

(b) $[{OH}^{-}] = 2 [\sqrt[3]{\frac{8 \times 10^{- 6}}{4}}]$ (maximum value)

(d) $[{OH}^{-}] = 2 [\sqrt[3]{\frac{1.2 \times 10^{- 11}}{4}}]$

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