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MHT CET202122 Sep 2021Evening ShiftChemistrySolutionsActual

5 ~g sucrose (molar mass =342 ) is dissolved in 100 ~g of solvent, decreases the freezing point by 2.15 ~K . What is cryoscopic constant of solvent?

Options

  1. A14.7 ~K ~kg ~mol ⁻¹
  2. B2.15 ~K ~kg ~mol ⁻¹
  3. C4.30 ~K ~kg ~mol ⁻¹
  4. D7.35 ~K ~kg ~mol ⁻¹

Correct answer

A. 14.7 ~K ~kg ~mol ⁻¹

Step-by-step solution

aligned & T _ f = K _ f m & m = moles of solute massof solvent 1000 & ~m = 5 / 342 100 1000= 50 342 & T _ f = kf m & 2.15= kf 50 342 & kf = 2.15 342 50 =14.7 ~K ~kg mol ⁻¹ aligned

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