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Why NaOH cannot be used to separate Al(O...

Why NaOH cannot be used to separate `Al(OH)_(3)` and `Zn(OH)_(3)` ?

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Both the hydroxides dissolve in NaOH.
`Al(OH)_(3)+NaoH rarr underset("Soluble")(NaAlO_(2))+2H_(2)O`
`Zn(OH)_(2)+2NaOHrarr underset("Soluble")(Na_(2)ZnO_(2))+2H_(2)O`
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