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MHT CET202523 Apr 2025Evening ShiftChemistrySolutionsActual

Calculate the cryoscopic constant of solvent if depression in freezing point of 0.4 m solution of nonvolatile solute is 1.8 K .

Options

  1. A4 0 ~K ~kg ~mol ⁻¹
  2. B4 5 ~K ~kg ~mol ⁻¹
  3. C5.1 ~K ~kg ~mol ⁻¹
  4. D5.7 ~K ~kg ~mol ⁻¹

Correct answer

B. 4 5 ~K ~kg ~mol ⁻¹

Step-by-step solution

The cryoscopic constant K_f relates the freezing point depression T_f to molality m through T_f = K_f m . Given T_f = 1.8 K and m = 0.4 m , solving for K_f yields: K_f = T_f m = 1.8 K 0.4 m = 4.5 K kg mol⁻¹ . This value corresponds to option B . The correct choice is therefore B .

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