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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:
2
`M(OH)_(x) `will ionise as
`{:(M(OH)_(x) hArr M^(+x) + x OH^(-)),(" "10^(-4)" x "10^(-4)):}`
`K_("sp") = [M^(+x)][OH^(-)]^(x)`
`(10^(-4))(x xx 10^(-4))^(x) = 4 xx 10^(-12)`
By inspection, we can find that the relation will hold good when `x = 2`.
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