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Elevation in Boiling Point

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Question

Calculate the boiling point of a solution containing $0.61 g$ of benzoic acid in $50 g$ of carbon disulphide assuming $84 %$
dimerization of the acid. The boiling point and $K_{b}$ of $C S_{2}$ are ${46.2}^{\circ} C$ and $2.3 K k g m o l^{- 1}$ , respectively.

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Solution

$i = 1 - \frac{α}{2} = 1 - \frac{0.84}{2} = 0.48$
$Δ T_{b} = \frac{0.48 \times 2.3 \times 0.61 \times 1000}{122 \times 50} = 0.1104$
$T_{b} = 46.2 + 0.1104 = {46.31}^{\circ} C$

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