$2.0 \, m \, CH_3COOH$ undergoes $100 \%$ dimerization in benzene. It will be isotonic with which of the following?

  • A
    $1.0 \, m$ solution of $KNO_3$ with $100 \%$ ionization
  • B
    $1.0 \, m$ solution of $Ca(NO_3)_2$ with $100 \%$ ionization
  • C
    $0.5 \, m$ solution of $NaNO_3$ with $100 \%$ ionization
  • D
    $2.0 \, m$ solution of $KNO_3$ with $100 \%$ ionization

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Of the following four aqueous solutions,the total number of those solutions whose freezing point is lower than that of $0.10 \, M \, C_{2}H_{5}OH$ is (Integer answer).
$(i)$ $0.10 \, M \, Ba_{3}(PO_{4})_{2}$
$(ii)$ $0.10 \, M \, Na_{2}SO_{4}$
$(iii)$ $0.10 \, M \, KCl$
$(iv)$ $0.10 \, M \, Li_{3}PO_{4}$

Write the value of the van't Hoff factor $(i)$ for $K_{2}SO_{4}$ and $K_{4}[Fe(CN)_{6}]$.

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

$A$ solution containing $0.85 \ g$ of $ZnCl_2$ in $125.0 \ g$ of water freezes at $-0.23 \ ^\circ C$. The apparent degree of dissociation of the salt is ($K_f$ for water $= 1.86 \ K \ kg \ mol^{-1}$,atomic mass: $Zn = 65.3$ and $Cl = 35.5$)

The correct relationship between the boiling points of very dilute solutions of $AlCl_3$ $(t_1)$ and $CaCl_2$ $(t_2)$,having the same molar concentration is

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