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Elevation in Boiling Point

Derive the re...

Question

Derive the relation between elevation of boiling point and molar mass of solute.

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Solution

The elevation in the boiling point is given by the expression $Δ T_{b} = K_{b} \cdot m$ .....(1)
The molality is given by the expression $m = \frac{W_{2}}{M_{2} \cdot W_{1}}$ ......(2)
Substitute equation (2) in equation (1)
$Δ T_{b} = K_{b} \cdot \frac{W_{2}}{M_{2} \cdot W_{1}}$
Hence, the expression for the molar mass of the solute is
$M_{2} = \frac{K_{b} \cdot W_{2}}{Δ T_{b} \cdot W_{1}}$

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