Find the molar concentration (in mol L⁻¹) of a solution whose osmotic pressure is 0.0821 atm at 300 K.

(1) 0.033

(2) 0.066

(3) 0.33 × 10^–2

(4) 3.0

The osmotic pressure of 5 % (mass/volume) solution of cane sugar at 150 °C (mol. mass of sugar = 342 g/mole) is:

A solution containing 3.3 g of a substance in 125 g of benzene (b.p. 80°C) boils at 80.66°C. If K_b for one litre of benzene is 3.28°C, the molecular weight of the substance shall be 

1. 127.20

2. 131.20

3. 137.12

4. 142.72

Calculate the boiling point of a solution prepared by dissolving 0.1 mole of sugar in 200 g of water at 1 atm pressure.
(Given: Molal boiling point elevation constant of water, Kb = 0.513 °C kg mol⁻¹.)

1.  100.513°C

2. 100.0513°C

3. 100.256°C

4.  101.025°C

An aqueous solution containing 1 g of urea boils at 100.25 °C. The aqueous solution containing 3 g of glucose in the same volume will boil at:
1. 100.75 °C
2. 100.5 °C
3. 100 °C
4. 100.25 °C

Solution of sucrose (Mol. Mass = 342) is prepared by dissolving 34.2 gm of it in 1000 gm of water. Freezing point of the solution is : (K_f for water is 1.86 K kg mol^–1) 

1.  272.814 K

2.  278.1 K

3.  273.15 K

4.  270 K

Find the molecular mass of a weak monobasic acid when 0.1 g of the acid is dissolved in 21.7 g of water, and the solution freezes at 272.817 K.
Given: Kf for water = 1.86 K kg mol⁻¹.

1.  45.0

2.  40.6

3.  49.8

4. 46.8

A solution shows a freezing point depression of 0.184 K. If the molal depression constant (\(K_f\)) of the solvent is 18.4 K kg mol⁻¹, the molality of the solution is:

1. 0.01

2. 1.00

3. 0.001

4. 100

A solution is prepared by dissolving 6.8 g of a non-ionic (non-electrolyte) solute in 100 g of water. This solution freezes at −0.93 °C. The freezing point depression constant (Kf) for water is 1.86 °C/m.
Calculate the molecular weight (molar mass) of the solute.

The molar freezing point constant for water is 1.86°C/mole. If 342 g of cane sugar $\left({\mathrm{C}}_{12}{\mathrm{H}}_{22}{\mathrm{O}}_{11}\right)$ is dissolved in 1000 g of water, the solution will freeze at 

1. –1.86°C

2. 1.86°C

3. –3.92°C

4. 2.42°C