Properties such as boiling point, freezing point and vapour, pressure of a pure solvent change Propeties 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 athanol and water. The mole fraction of ethanol in the mixture is 0.9
Given Freezing point depression constant of water `(K_(f)^("water"))=1.86 K kg "mol"^(-1)`
Freezing point depression constant of ethanol `(K_(f)^("ethanol"))=2.0 K kg "mol"^(-1)`
Boiling point elevation constant of water `(K_(b)^("water"))=0.52 kg "mol"^(-1)`
Boiling point elevation constant of ethanol `(K_(b)^("ethanol"))=1.2 kg "mol"^(-1)`
Standard freezing point of water =273 K
Standard freezing point of ethanol = 155.7 K
Standard boiling point of water =373 K
tandard boiling point of ethanol =351.5 K
Vapour pressure of pure water =32.8 mmHg
Vapour presure of pure ethanol =40g Hg
Molecular weight of water `=18 g"mol"^(-1)`
Molecules weight of ethanol `=46 g "mol"^(-1)`
In answering the following questions, consider the solutions to be ideal dilute solutions and solutes to be non-volatile and non-dissociative.
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 athanol and water. The mole fraction of ethanol in the mixture is 0.9
Given Freezing point depression constant of water `(K_(f)^("water"))=1.86 K kg "mol"^(-1)`
Freezing point depression constant of ethanol `(K_(f)^("ethanol"))=2.0 K kg "mol"^(-1)`
Boiling point elevation constant of water `(K_(b)^("water"))=0.52 kg "mol"^(-1)`
Boiling point elevation constant of ethanol `(K_(b)^("ethanol"))=1.2 kg "mol"^(-1)`
Standard freezing point of water =273 K
Standard freezing point of ethanol = 155.7 K
Standard boiling point of water =373 K
tandard boiling point of ethanol =351.5 K
Vapour pressure of pure water =32.8 mmHg
Vapour presure of pure ethanol =40g Hg
Molecular weight of water `=18 g"mol"^(-1)`
Molecules weight of ethanol `=46 g "mol"^(-1)`
In answering the following questions, consider the solutions to be ideal dilute solutions and solutes to be non-volatile and non-dissociative.
Water is added to the solution M such that the fraction of water in the solution becomes `0.9`. The boiling point of this solutions is

Options

A. `380.4 K`
B. `376.2K`
C. `375.5 K`
D. `354.7 K`

Answer

B

Explanation

`DeltaT_(b)=K_(b)xxm`
`0.52xx(0.1)/(0.9xx18)xx1000=3.2 K`
`T_(b)=373+3.2=376.2 K`