# 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 of a solution is given by the equation  Option 3) The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is 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 -

- wherein

m = molarity of solvent

= cryoscopic  constant

molal depress const

Units =

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  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 of a solution is given by the equation

This is an incorrect option.

Option 3)

The correct order of osmotic pressure for 0.01 M aqueous solution of each compound is

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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