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M(OH)x " has " a K(sp) " of " 4 xx 10 ...

`M(OH)_x " has " a K_(sp) " of " 4 xx 10 ^(-9) ` and its solubility is `10^(-3) ` M. The value of x is :

A

4

B

1

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
`M(OH)_x =M^(+x) +XOH^(-) `
`" " S " " XS `
` K_(sp) =(S) (XS) ^(x) , K_(sp) =S^(x+1) . X^(x) `
` 4 xx 10^(-9) =X^(x) . S ^(x+1) therefore x=2`
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