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Boiling point of water at 750 mm Hg is 9...

Boiling point of water at 750 mm Hg is `99.63^(@)C.` How much sucrose is to be added to 500 g or water such that it boils at `100^(@)` C ?

Text Solution

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Elevation in boiling point required,` Delta T _(b) = 100- 99.63^(@)=0.37^(@)`
Mass of solvent (water)` W_(1)=500g`
Mass of soulte, `C_(12) H _(22) O _(11) =342 g mol^(-1)`
Molar mass of solvent `M _(1) = 18 g mol^(-1)`
Applying the formula, `M _(2) = (1000 K _(b) W_(2))/(W_(1) xx Delta T_(b))`
`W _(2) = (M_(2) xx Delta T_(b) xx W_(1))/(1000 xx K _(1))`
`= ( 342 mol ^(-1) xx 0.37k xx 500 g )/( 1000 xx 0.52 kg mol ^(-1))= 121. 67g`
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