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Q. The elevation in boiling point of a solution of a solution $dT_{b}$ is related with molality of solution (m) by the relation

$dT_{b}=\left[\frac{R T_{b}^{2}}{\Delta Η_{v a p}}\right]\left[\frac{M_{1}}{1 + m M_{1}}\right],$ where $M_{1}$ is molar mass of solvent and $\Delta H_{v a p}$ is heat of vaporization of solvent. For a dilute solution, the relation $\left(\frac{\partial T_{b}}{\partial m}\right)_{m \rightarrow 0}$ gives:

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Solution:

$\left(\frac{\partial T_{b}}{\partial m}\right)_{m \rightarrow 0}=\frac{R T_{b}^{2} M_{1}}{\Delta Η_{v a p}}=K_{b}$ .