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M(OH)(x) has K(SP)=4xx10^(-12) and its s...

`M(OH)_(x)` has `K_(SP)=4xx10^(-12)` and its solubility in water is `10^(-4)` M. Calculate the value of x.

Text Solution

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`M(OH)_(x) Leftrightarrow underset(S)(M^(x+))+underset(XS)(XOH^(-))`
`K_(SP)=S.(XS)^(x)" Given S"=10^(-4)`
`or 4 xx 10^(-12)=10^(-4). (X.10^(-4))^(x)`
`X^(x).(10^(-4))^(1+x)=4 xx 10^(-12) therefore x=2`
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