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Calculate [OH^(-)] in 0.20M solution of ...

Calculate `[OH^(-)]` in `0.20M` solution of `NH_(3)`, if `K_(b)` for `NH_(3)` is `1.8xx10^(-5)`.

Text Solution

Verified by Experts

`underset(1-X)(NH_(3))+H_(2)O Leftrightarrow underset(X)(NH_(4)^(+))+underset(X)(OH^(-))`
`K_(b)= ([NH_(4)^(+)][OH^(-)])/([NH_(3)])=(X^(2))/((1-X))=X^(2)`
`therefore X=[OH^(-)]=sqrt(k_(b))=sqrt(1.8 xx 10^(-5))=4.24 xx 10^(-3)M`
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