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A saturated solution of Mg(OH)(2) has a ...

A saturated solution of `Mg(OH)_(2)` has a vapour pressure of `759.5 mm` at `373 K`. Calculate the solubility and `K_(sq)` of `Mg(OH)_(2)`. "(Assume molarity equals molality)"

Text Solution

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`P_(S)=759.5 mm`
`P^(@)_(H_(2)O)=760 mm` at `373 K`
`DeltaP/P^(@)=0.5/760 =ichi_(2)`
`:.ichi(2)=6.5xx10^(-4)(i=3)`
`chi_2=2.16xx10^-4`
Find molality`~~`molarity
`m=(chi_(B)xx1000)/(1-chi_(B)xxMw_(1))=0.012 mol kg^(-1)`
`Mg(OH)_2 hArr Mg^(2+)+2OH^(ө)`
`i=3`
`S=0.012 mol L^(-1)`
`K_(sp)=4S^(3)`
`=4xx(0.0112)^(3)`
`=6.8xx10^(-6)`
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