$5 \ g$ sucrose (molar mass $= 342 \ g \ mol^{-1}$) is dissolved in $100 \ g$ of solvent,decreasing the freezing point by $2.15 \ K$. What is the cryoscopic constant $(K_{f})$ of the solvent?

  • A
    $14.7 \ K \ kg \ mol^{-1}$
  • B
    $2.15 \ K \ kg \ mol^{-1}$
  • C
    $4.30 \ K \ kg \ mol^{-1}$
  • D
    $7.35 \ K \ kg \ mol^{-1}$

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