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Depression in Freezing Point

Elevation in ...

Question

Elevation in the boiling point for 1 molal solution of glucose is 2K. The depression in the freezing point of 2 molal solutions of glucose in the same solvent is 2K. The relation between $K_{b}$ and $K_{f}$ is

A

K_{b} = 0.5 K_{f}

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B

K_{b} = 2 K_{f}

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C

K_{b} = 1.5 K_{f}

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D

K_{b} = K_{f}

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Solution

The correct option is B $K_{b} = 2 K_{f}$
$\frac{Δ T_{b}}{Δ T_{f}} = \frac{i \times m \times K_{b}}{i \times m \times K_{f}}$

$\frac{2}{2} = \frac{1 \times 1 \times K_{b}}{1 \times 2 \times K_{f}}$

$K_{b} = 2 K_{f}$

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