A `10%"(w/w)"` solution of cane sugar has undergone partial inversion according to the reaction:
`"sucrose+water"rightarrow"glucose+ fructose"`. If the boiling point of solution is `100.27^(@)"C".`
(a) What is the average mass of the dissolved materials?
(b) What fraction of the sugar has inverted? `"K"_("b")("H"_(2)"O")=0.512" K mol"^(-1)" kg"`

Answer

(a)210.65, (b)62.35%

Explanation

`Delta"T"_("b")=[1+("n"-1)alpha]"K"_("b")("W"_("solute")xx1000)/("m"_("solute")xx"W"_("solvent"))`
`0.27=[1+(2-1)alpha]xx(0.512xx10xx1000)/(342xx90)`
`alpha=0.623`
`"m"_("avg")=("m"_("sucrose"))/(1+alpha)=342/(1.623)`
Average mass of dissolved material `=209.55"gm mol"^(-1)`