Question:

Elevation in the boiling point for 1 molar solution of glucose is 2 K. The depression in the freezing point for 2 molal solution of glucose in the same solvent is 2 K. The relation between \(K_b\) and \(K_f\) is

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Use \(\Delta T_b = K_b m\) and \(\Delta T_f = K_f m\), treating the 1 molar solution as 1 molal (dilute solution assumption).
Updated On: Nov 5, 2026
  • \(K_b = K_f\)
  • \(K_b = 0.5\,K_f\)
  • \(K_b = 1.5\,K_f\)
  • \(K_b = 2\,K_f\)
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The Correct Option is D

Solution and Explanation

\(\Delta T_b = K_b \times m\): 2 = \(K_b \times 1\), so \(K_b = 2\ \text{K kg mol}^{-1}\) (1 molar taken as 1 molal).
\(\Delta T_f = K_f \times m\): 2 = \(K_f \times 2\), so \(K_f = 1\ \text{K kg mol}^{-1}\).
Hence \(K_b / K_f = 2\), i.e. \(K_b = 2K_f\).
Answer: (4) \(K_b = 2\,K_f\)
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