1.

A solution containing 0.5216g of naphthalene (mol.wt.=128.16) in 50mL of "CC"l_(4) shows boiling point elevation of 0.402^(@) while a solution of 0.6216g of an unknown solute in the same weight of solvent gave a boiling point elevation of 0.647^(@) . Find the molecular mass of the unknown solute.

Answer»

Solution :Suppose the weight of 50mL of solvent `"CC"l_(4)` is W grams.
For the FIRST solution , molality `=(0.5216//128.16)/(W)xx1000`
`=(521.6)/(128.16W)`
`K_(b)=(DeltaT_(b))/(m)`
`=(0.402)/(521.6//128.16W)`
As the second solution is prepared in the same weight of solvent,
so for the second solution molality `=(0.6216//M)/(W)xx1000`
`=(621.6)/(WM)`
`:.K_(b).=(0.647)/(621.6//WM)`
(M is the mol.wt. of the UNKNOWN SOLUTE)
Since the solvent in both the solutions is the same
`K_(b)=K_(b).`
Thus, `(0.402)/(521.6//128.16W)=(0.647)/(621.6//WM)`
`M=94.84`


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