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Q. Elevation in the boiling point for $1$ molal solution of glucose is $2\, K$. The depression in the freezing point of $2$ molal solutions of glucose in the same solvent is $2\, K$. The relation between $K_b$ and $K_f$ is:

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Solution:

$\frac{\Delta T_{b}}{\Delta T_{f}} = \frac{i.m \times k_{b}}{i\times m\times k_{f}} $
$ \frac{2}{2} = \frac{1\times1\times k_{b}}{1 \times2\times k_{f}}$
$ k_{b} = 2K_{f} $