An aqueous solution containing 1 ,g of urea boils at 100.25 ,^oC.… - Vidyadip

MCQ

An aqueous solution containing $1\,g$ of urea boils at $100.25\,^oC$. The aqueous solution containing $3\,g$ of glucose in the same volume will boil at ........ $^oC$. (Molecular weight of urea and glucose are $ 60 $ and $180$ respectively)

A
$100.75$
B
$100.5$
✓
$100.25$
D
$100$

✓

Answer

Correct option: C.

$100.25$

c
Solution of non-electrolyte having same concentration will boil at same same temperature.

$10\, g$ of urea; $m =\frac{\frac{1}{60}}{ v }=\frac{1}{60 v }$

$3\, g$ of glucose; $m =\frac{\frac{3}{180}}{ v }=\frac{1}{60 v }$

We know

$\Delta T _{ b }= k _{ b } \times \,m$

$\Rightarrow \Delta T _{ b } \propto m$

Here, molarity remains unchanged

Hence, they have the same boiling point.

Hence, the correct option is $c$.

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