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Show that [OH^(-)] gt sqrt(K(w)) in an a...

Show that `[OH^(-)] gt sqrt(K_(w))` in an alkaline solution.

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We know, `[H_(3)O^(+)] xx[OH^(-)]=K_(w)`. I pure water `[H_(3)O^(+)]=[OH^(-)]`. This gives `[H_(3)O^(+)]=[OH^(-)]=sqrt(K_9w))`. In an alkaline solution, the concentration of `OH^(-)` ions is higher than that in pure water. Therefore, in an alkaline solution, `[OH^(-)] gt sqrt(K_(w))`.
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