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  4. 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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Q. 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 $\left( K _{ b } / K _{ f }\right)$ is ___

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Solution:

$\Delta T _{ b }= iK _{ b } m$
$\Delta T _{ f }= iK _{ f } m$
$\frac{4}{4}=\frac{ K _{ b } 1.5}{ K _{ f } 4.5}$
$\frac{ K _{ b }}{ K _{ f }}=3$