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K(sp) of Mg(OH)(2) is 4.0 xx 10^(-6). At...

`K_(sp)` of `Mg(OH)_(2)` is `4.0 xx 10^(-6)`. At what minimum `pH, Mg^(2+)` ions starts precipitating `0.01MgCI`

A

`2+log 2`

B

`2 - log 2`

C

`12 + log 2`

D

`12 - log 2`

Text Solution

Verified by Experts

The correct Answer is:
C
Precipitation starts when `Q_(sp) = K_(sp)`.
`K_(sp) = [Ca^(2+)] [overset(Theta)OH]^(2)`
`:. [overset(Theta)OH] = ((4 xx 10^(-6))/(0.001))^(1//2) = 2 xx 10^(-2)`
`pOH =- log 2 +2`
`pH = 14 - [-log 2+2] = 12 + log2`
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