Which one of the following statements is $FALSE$?

  • A
    The correct order of osmotic pressure for $0.01 \ M$ aqueous solution of each compound is $BaCl_2 > KCl > CH_3COOH >$ sucrose.
  • B
    The osmotic pressure $(\pi)$ of a solution is given by the equation $\pi = MRT$ where $M$ is the molarity of the solution.
  • C
    Raoult's law states that the vapour pressure of a component over a solution is proportional to its mole fraction.
  • D
    Two sucrose solutions of same molality prepared in different solvents will have the same freezing point depression.

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$A$ saturated solution of $Ag_2SO_4$ shows a $0.003 \ K$ rise in boiling point. Calculate the $K_{sp}$ of $Ag_2SO_4$. Given: $K_b = 5 \ K \ kg \ mol^{-1}$ and $1 \ m = 1 \ M$.

Benzene and toluene form an ideal solution over the entire range of composition. The vapour pressure of pure benzene and toluene at $300 \, K$ are $50.71 \, mm \, Hg$ and $32.06 \, mm \, Hg$ respectively. Calculate the mole fraction of benzene in the vapour phase if $80 \, g$ of benzene is mixed with $100 \, g$ of toluene.

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$A$ substance '$X$' $(1.5 \ g)$ dissolved in $150 \ g$ of a solvent '$Y$' (molar mass $= 300 \ g \ mol^{-1}$) led to an elevation of the boiling point by $0.5 \ K$. The relative lowering in the vapour pressure of the solvent '$Y$' is . . . . . . $\times 10^{-2}$. (Nearest integer)
[Given : $K_{b}$ of the solvent $= 5.0 \ K \ kg \ mol^{-1}$]
Assume the solution to be dilute and no association or dissociation of $X$ takes place in solution.

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