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

Answer

The elevation in the boiling point is given by the expression
$\Delta T_b=K_b \cdot m_{\ldots . .(1)}$
The molality is given by the expression $m=\frac{W_2}{M_2 \cdot W_1} \ldots$ (2)
Substitute equation (2) in equation (1)
$\Delta T _{ b }= K _{ b } \cdot \frac{ W _2}{ M _2 \cdot W _1}$
Hence, the expression for the molar mass of the solute is
$M _2=\frac{ K _{ b } \cdot W _2}{\Delta T _{ b } \cdot W _1}$

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