Calculate the molality of the solution of a nonvolatile solute if it freezes at $-0.36 \ ^{\circ}C$. [Given: $K_{f}$ for solvent $= 1.86 \ K \ kg \ mol^{-1}$]

  • A
    $0.218 \ mol \ kg^{-1}$
  • B
    $0.193 \ mol \ kg^{-1}$
  • C
    $0.401 \ mol \ kg^{-1}$
  • D
    $0.520 \ mol \ kg^{-1}$

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$83 \ g$ of ethylene glycol is dissolved in $625 \ g$ of water. The freezing point of the solution is $...... \ K$. (Nearest integer) [Use: Molal freezing point depression constant of water $= 1.86 \ K \ kg \ mol^{-1}$,Freezing point of water $= 273 \ K$,Atomic masses: $C = 12.0 \ u, O = 16.0 \ u, H = 1.0 \ u$]

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Identify $(i)$,$(ii)$ and $(iii)$ in the following diagram representing the depression in freezing point:

Calculate the molal depression constant of a solvent, which freezes at $15^{\circ}C$. The latent heat of fusion is $180.7 \ Jg^{-1}$.

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