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Colligative Properties

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Question

A solution of urea (M. mass 60 g/mol) freezes at $- 1.24^{o} C$ . If cryoscopic and ebullioscopic constants for water are 1.86 and 0.51 K kg/mol respectively, then at what temperature ( $i n^{o} C$ ) would the above solution boil at one atmospheric pressure?

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Solution

$△ T_{f} = K_{f} m = 1.86 m$
$\Rightarrow m = \frac{1.24}{1.86}$
So,
$△ T_{b} = K_{b} m = 0.51 \times \frac{1.24}{1.86}$
$\Rightarrow △ T_{b} = 0.34^{o} C$
So, boiling point $= 100 + 0.34 = 100.34^{o} C$

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