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Question

Properties such as boiling point, freezing point and vapour pressure of a pure solvent change when solute molecules are added to get homogeneous solution. These are called colligative properties. Applications of colligative properties are very useful in day-to – day life.

One of its examples is the use of ethylene glycol and water mixture as anti-freezing liquid in the radiator of automobiles.

A solution M is prepared by mixing ethanol and water. The mole fraction of ethanol in the mixture is 0.9.

Given, freezing point depression constant of water

(Kwaterf)=1.86K kg mol1

Freezing point depression constant of ethanol

(Kwaterb)=2.0K kg mol1

Boiling point elevation constant of water

(Kwaterb)=0.52K kg mol1

Boiling point elevation constant of ethanol

(Kethanolb)=1.2K kg mol1

Standard freezing point of water = 273 K

Standard freezing point of ethanol = 155.7 K

Standard boiling point of water = 373 K

Standard boiling point of ethanol = 351.5K

Vapour pressure of pure water = 32.8 mm Hg

Vapour pressure of pure ethanol = 40 mm Hg

Molecular weight of water =18 g mol1

Molecular weight of ethanol =46 g mol1

In answering the following questions, consider the solutions to be ideal dilute solutions and solutes to be non-volatile and non-dissociative.

The vapour pressure of the solution M is


A

39.3 mm Hg

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B

36.0 mm Hg

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C

29.5 mm Hg

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D

28.8 mm Hg

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Solution

The correct option is A

39.3 mm Hg


Vapour pressure = p(H2O)+p(ethanol)

Vapour pressure=p(H2O)+p(ethanol)

=32.8×0.1+40×0.9

=3.28+36

=39.28 mm


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