Which of the following statements is incorrect?

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

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The solution from the following with the highest depression in freezing point (lowest freezing point) is:

$100 \ mL$ of $1.5\%(w/v)$ solution of urea has an osmotic pressure of $6.0 \ atm$ and $100 \ mL$ of $3.42\%(w/v)$ solution of cane sugar has an osmotic pressure of $2.4 \ atm$. If the two solutions are mixed,the osmotic pressure of the resulting solution in $atm$ is (Assume that there is no reaction between urea and cane sugar).

Two elements $A$ and $B$ form compounds having formula $AB_{2}$ and $AB_{4}$. When dissolved in $20 \ g$ of benzene $(C_{6}H_{6})$,$1 \ g$ of $AB_{2}$ lowers the freezing point by $2.3 \ K$ whereas $1.0 \ g$ of $AB_{4}$ lowers it by $1.3 \ K$. The molar depression constant for benzene is $5.1 \ K \ kg \ mol^{-1}$. Calculate atomic masses of $A$ and $B$.

The osmotic pressure of $0.1 \ M$ monobasic acid of $pH \ 3$ at $27^{\circ} C$ is (in $atm$)

$A$ 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 $1 \ m = 1 \ M$.

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