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Depression in Freezing Point

Elevation in ...

Question

Elevation in boiling point for $1.5$ molal solution of glucose in water is $4 K$ . The depression in freezing point for $4.5$ molal solution of glucose in water is $4 K$ . The ratio of molal elevation constant to molal depression constant $(K_{b} / K_{f})$ is ___.

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Solution

$Δ T_{b} = i \times K_{b} \times m$

$Δ T_{f} = i \times K_{f} \times m$ $(i = 1)$

$\frac{4 = 1 \times K_{b} \times 1.5}{4 = 1 \times K_{f} \times 4.5}$

$\frac{K_{b}}{K_{f}} = 3$

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