1.

The salt `Al(OH)_(3)` is involved in the following two equilibria, `Al(OH)_(3(s)) hArr Al_((aq))^(3+) + 3OH_((aq))^(o.), ksp` `Al(OH)_(3(s)) + OH_((aq))^(-) hArr [Al(OH)_(4)^(-)]_((aq)), kc` Which of the following relationship is correct at which solubility is minimum?A. `[OH^(-)] = ((Ksp)/(Kc))^(1//3)`B. `[OH^(-)] = ((Kc)/(Ksp))^(1//4)`C. `[OH^(-)] = sqrt(((Ksp)/(Kc))^(1//4))`D. `[OH^(-)] = ((3Ksp)/(Kc))^(1//4)`

Answer» Correct Answer - D
`S= [Al_((aq))^(+3)] + [Al(OH)_(4(aq))]^(-)`
`S = (Ksp)/([OH^(-)]^(3) + Kc[OH^(-)]`
for minimum solubility `(ds)/(d(OH^(-))) = 0`
`:. - (Ksp xx 3 )/([OH^(-)]^(4)) + Kc = 0,[OH^(-)] = ((3Ksp)/(Kc))^(1//4)`


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