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Calculate the freezing point of an aqueo...

Calculate the freezing point of an aqueous solution containing 10.50 g of `MgBr_(2)` in 200 g of water (Molar mass of `MgBr_(2) = 184g`). (`K_(f)` for water `= 1.86" K kg mol"^(-1)`)

Text Solution

Verified by Experts

`MgBr_(2)` being an ionic compound ionizes as:
`MgBr_(2) hArr Mg^(2+) +2Br^(-)`
`:. .i.=1+2=3`
`DeltaT_(f)=iK_(f) xx m =3 xx 1.86 xx m`
`m=("Weight of solute")/("Molar mass of solute") xx (100)/("Weight of solvent")`
`:. DeltaT_(f)=(3 xx 1.86 xx 10.50 xx 1000)/(184 xx 200)=1.59^(@)`
`:.`F.P. of solution `=273.15-1.59=271.56K`
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