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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_fis:

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a

$K_{b} = 0 .5 K_{f}$

b

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

c

$K_{b} = 1 .5 K_{f}$

d

$K_{b} = K_{f}$

answer is B.

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Detailed Solution

${ΔT}_{b} = i . m \times K_{b} {ΔT}_{f} = i \times m \times K_{f} 2 = 1 \times 1 \times K_{b} 2 = 1 \times 2 \times K_{f} K_{b} = 2 K_{f}$

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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 Kb and Kf is: