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What is the molar solubility of Al(OH)(3...

What is the molar solubility of `Al(OH)_(3)` in 0.2 M NaOH solution? Given that, solubility product of `Al(OH)_(3) = 2.4 xx 10^(-2)`

A

`12xx10^(-21)`

B

`3xx10^(-22)`

C

`3xx10^(-19)`

D

`12xx10^(-23)`

Text Solution

Verified by Experts

The correct Answer is:
B
`NaOH to underset(0.2)(Na^(+))+underset((0.2+3s))(OH^(-))`
`Al(OH)_(3(s)) to underset(s)(Al^(+3))+underset((3s+0.2))(3OH^(-))`
`K_(sp)=(s)(3s+0.2)^(3)` `( :. 3s lt lt 0.2)`
`2.4xx10^(-24)=sxx8xx10^(-3)`
`s=3xx10^(-22)M`
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