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JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

Elevation in the boiling point for \(1\) molal 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 

  1. A \(K_b = 1.5K_f\)
  2. B \(K_b = K_f\)
  3. C \(K_b = 0.5K_f\)
  4. D \(K_b = 2K_f\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(K_b = 2K_f\)

Step-by-step Solution

Detailed explanation

\(\Delta {T_b}\, = \,{K_b}m\) \(\Delta {T_b}\, = \,{K_b}\, \times \,1\, \Rightarrow \,2\, = \,{K_b}\) \(\Delta {T_f}\, = \,{K_f}m\) \(2\, = \,2{K_f}\, = \,{K_f}\) \(\frac{{{K_f}}}{{{K_b}}}\, = \,\frac{1}{2}\)
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