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M(OH)(X) has K(SP) 4xx10^(-12) and solub...

`M(OH)_(X)` has `K_(SP) 4xx10^(-12)` and solubility `10^(-4) M`. The value of `x` is:

A

`1`

B

`2`

C

`3`

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
B
`M(OH)_(x)` will ionize in the way
`M(OH)_(x)hArrunderset(10^(-4))(M^(+x))+underset(xxx10^(-4))(xOH^(-))`
`:. K_(sp)=[M^(+x)][OH^(-)]^(x)`
`:. (10^(-4))(x xx10^(-4))^(x)=4xx10^(-12)`
by inspection we get this relation will hold good when `x=2`
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