# Which one of the following statements is false? Option 1) Raoult’s law states that the vapour pressure of a component over a solution is proportional to its mole fraction. Option 2) The osmotic pressure $\left ( \pi \right )$ of a solution is given by the equation $\left ( \pi = MRT\: where \: M\: is\: the\: molarity\: of\: the \: solution. \right )$ Option 3) The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is$BaCl_{2}> KCl> CH_{3}COOH> sucrose.$ Option 4) Two sucrose solutions of same molality prepared in different solvents will have the same freezing point depression.

As we learnt in

Mathematical Expression of Depression in Freezing point -

$\Delta T_{f}= K_{f}\: m$

- wherein

m = molarity of solvent

$K_{f}$ = cryoscopic  constant

molal depress const

Units = $\frac{K-K_{g}}{mole}$

Tne extent of depression in freezing point varies with the number of solute particles for a fixed solvent only and it is a characteristic feature of the nature of solvent also $\Delta T_{f}=K_{f}\times m$ for different solvent value of Kf is also different. So for two different solvent the extent  of depression may vary.

Correct option is 4.

Option 1)

Raoult’s law states that the vapour pressure of a component over a solution is proportional to its mole fraction.

This is an incorrect option.

Option 2)

The osmotic pressure $\left ( \pi \right )$ of a solution is given by the equation $\left ( \pi = MRT\: where \: M\: is\: the\: molarity\: of\: the \: solution. \right )$

This is an incorrect option.

Option 3)

The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is$BaCl_{2}> KCl> CH_{3}COOH> sucrose.$

This is an incorrect option.

Option 4)

Two sucrose solutions of same molality prepared in different solvents will have the same freezing point depression.

This is the correct option.

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