Assuming $100\%$ ionization,the correct order of freezing point for the following solutions is:

  • A
    $0.1\, m\, Ba_3(PO_4)_2 < 0.1\, m\, Na_2SO_4 < 0.1\, m\, KCl$
  • B
    $0.1\, m\, KCl < 0.1\, m\, Na_2SO_4 < 0.1\, m\, Ba_3(PO_4)_2$
  • C
    $0.1\, m\, Na_2SO_4 < 0.1\, m\, Ba_3(PO_4)_2 < 0.1\, m\, KCl$
  • D
    $0.1\, m\, KCl < 0.1\, m\, Ba_3(PO_4)_2 < 0.1\, m\, Na_2SO_4$

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We have three aqueous solutions of $NaCl$ labelled as '$A$','$B$' and '$C$' with concentrations $0.1 \ M$,$0.01 \ M$,and $0.001 \ M$ respectively. The value of the Van't Hoff factor for these solutions will be in the order . . . . . . .

If sodium sulphate is considered to be completely dissociated into cations and anions in aqueous solution,the change in freezing point of water $(\Delta T_f),$ when $0.01 \ mol$ of sodium sulphate is dissolved in $1 \ kg$ of water,is $(K_f = 1.86 \ K \ kg \ mol^{-1})$ (in $K$).

$0.5 \text{ molal}$ aqueous solution of a weak acid $(HX)$ is $20\%$ ionised. If $K_f$ for water is $1.86 \ K \ kg \ mol^{-1}$,the depression in freezing point of the solution is $......... \ K$.

The degree of dissociation of a $0.2 \, m$ aqueous solution of a weak acid $HX$ is $0.3$. If $K_f$ for water is $1.85 \, K \, kg \, mol^{-1}$,then the freezing point of the solution will be approximately ........... $^oC$.

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$5 \ g$ of $Na_2SO_4$ was dissolved in $x \ g$ of $H_2O$. The change in freezing point was found to be $3.82 \ ^oC$. If $Na_2SO_4$ is $81.5 \%$ ionised,the value of $x$ ($K_f$ for water $= 1.86 \ ^oC \ kg \ mol^{-1}$) is approximately .............. $g$ (molar mass of $S = 32 \ g \ mol^{-1}$ and that of $Na = 23 \ g \ mol^{-1}$)

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