MHT CET202526 Apr 2025Evening ShiftChemistrySolutionsActual
Calculate cryoscopic constant of solvent if depression in freezing point of 0.18 m solution of nonvolatile solute is 0.2 K
Options
- A1.73 ~K ~kg ~mol ⁻¹
- B1.50 ~K ~kg ~mol ⁻¹
- C1.11 ~K ~kg ~mol ⁻¹
- D1.92 ~K ~kg ~mol ⁻¹
Correct answer
C. 1.11 ~K ~kg ~mol ⁻¹
Step-by-step solution
The cryoscopic constant K_f relates freezing point depression T_f and molality m through the colligative property equation T_f = K_f m . Given T_f = 0.2 K and m = 0.18 mol kg ⁻¹ , solving for K_f yields: K_f = T_f m = 0.2 0.18 = 10 9 1.11 K kg mol ⁻¹ . This value corresponds to option (C) .