Calculate the cryoscopic constant $(K_f)$ of a solvent if the depression in freezing point of a $0.4 \ m$ solution of a non-volatile solute is $1.8 \ K$.

  • A
    $4.0 \ K \ kg \ mol^{-1}$
  • B
    $4.5 \ K \ kg \ mol^{-1}$
  • C
    $5.1 \ K \ kg \ mol^{-1}$
  • D
    $5.7 \ K \ kg \ mol^{-1}$

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When $0.01 \ mol$ of sugar is dissolved in $100 \ g$ of a solvent,the depression in freezing point is $0.40 \ ^oC$. When $0.03 \ mol$ of glucose is dissolved in $50 \ g$ of the same solvent,the depression in freezing point will be $......... \ ^oC$.

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