Osmotic pressure of a dilute solution of a non volatile solute in a solvent obeying Raoult's law is proportional to the

The vapor pressure of the solvent decreased by 10 mm Hg, when a non-volatile solute was added to the solvent. The mole fraction of the solute in the solution is 0.2. What should be the mole fraction of the solvent, if the decrease in vapor pressure of the solvent is required to be 20 mm Hg.?

A

0.2

B

0.1

C

0.4

D

0.6

Assertion (A) In osmosis, solvent molecules pass through a semipermeable membrane from a more dilute solution to a more concentrated one, when these two are separated by the semi-permeable membrane.
Reason (R) The vapour pressure of the solvent over the dilute solution is less than that over the concentrated solution.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true, but R is not the correct explanation of A

C

A is true, but R is false

D

A is false, but R is true

Consider the following statements.
1. During the pressure of osmosis, the solvent travels from the concentrated solution to the dilute solution.
2. In the reverse osmosis, external pressure is applied to the dilute solution.
Which of the statement(s) given above is/are correct?

A

Only 1

B

Only 2

C

Both 1 and 2

D

Neither 1 nor 2

In a liquid-liquid extraction, 10 kg of a solution containing 2 kg of solute C and 8 kg of solvent A is brought into contact with 10 kg of solvent B. Solvent A and B are completely immiscible in each other whereas solute C is soluble in both the solvents. The extraction process attains equilibrium. The equilibrium relationship between the two phases is Y* = 0.9X, where Y* is the kg of C/kg of B and X is kg of C/kg of A. Choose the correct answer.

A

The entire amount of C is transferred to solvent B

B

Less than 2 kg but more than 1 kg of C is transferred to solvent B

C

Less than 1 kg of C is transferred to B

D

No amount of C is tranferred to B

If the relative lowering of pressure of o-xylene is 0.005 due to addition of 0.5 grams of non-volatile solute in 500 grams of solvent, what is the molecular weight of the solute?

A

21.3 g/mole

B

23.1 g/mole

C

32.1 g/mole

D

1.23 g/mole

A very dilute solution is prepared by dissolving 'x₁' mole of solute in 'x₂' mole of a solvent. The mole fraction of solute is approximately equal to

A

$$\frac{{{{\text{x}}_1}}}{{{{\text{x}}_2}}}$$

B

$$\frac{{{{\text{x}}_2}}}{{{{\text{x}}_1}}}$$

C

$$1 - \frac{{{{\text{x}}_1}}}{{{{\text{x}}_2}}}$$

D

$$\frac{1}{{{{\text{x}}_2}}}$$

Addition of a non-volatile solute to a solvent produces a __________ in its solvent.

A

Freezing point elevation

B

Boiling point depression

C

Vapor pressure lowering

D

All of the above

Osmotic pressure exerted by a solution prepared by dissolving one gram mole of a solute in 22.4 litres of a solvent at 0°C will be __________ atmosphere.

A

0.5

B

1

C

1.5

D

2

When a non-volatile solute is added to a solvent what is the difference in vapor pressure expressed as a faction of original vapor pressure equal to?

A

Mole fraction of solute in vapor phase

B

Mole fraction of solvent in vapor phase

C

Mole fraction of solute in liquid phase

D

Mole fraction of solvent in liquid phase

What are the properties arising due to varying concentrations of solute in a given solvent, irrespective of the nature of solute with respect to the solvent?

A

Colligative properties

B

Intensive properties

C

Extensive properties

D

Solute properties

Osmotic pressure of a dilute solution of a non volatile solute in a solvent obeying Raoult's law is proportional to the

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