Class 12 Chemistry – Chapter 2: Solutions
Competitive / JEE Level – Questions Only
- Define molarity, molality, mole fraction and mass percentage. Derive the relationship between molarity and molality.
- Calculate the molality of a solution containing 18 g of glucose dissolved in 180 g of water.
- A solution contains 5.85 g of NaCl in 500 g of water. Calculate its molality.
- Calculate the mole fraction of ethanol and water in a solution containing 46 g ethanol and 54 g water.
- A solution is prepared by dissolving 10 g of urea in 90 g of water. Calculate the mole fraction of urea.
- 20 g of a non-volatile solute is dissolved in 180 g of water. The vapour pressure of the solution is 23.5 mm Hg while that of pure water is 24 mm Hg. Calculate the molar mass of the solute.
- Derive Raoult's law for a solution containing volatile components.
- Explain the difference between ideal and non-ideal solutions with suitable examples.
- A solution containing two volatile liquids A and B obeys Raoult's law. Derive the expression for its total vapour pressure.
- 10 g of a non-volatile solute is dissolved in 90 g of water. Calculate the relative lowering of vapour pressure if the molar mass of the solute is 100 g mol⁻¹.
- Explain positive and negative deviations from Raoult's law.
- What is an azeotrope? Explain the formation of minimum-boiling and maximum-boiling azeotropes.
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Calculate the elevation in boiling point when 18 g glucose is dissolved in 500 g water.
(Kb=0.52 Kkgmol−1) -
A solution containing 5 g of a non-electrolyte solute in 100 g water boils at 100.52∘C. Calculate the molar mass of the solute.
(Kb=0.52 Kkgmol−1) -
Calculate the depression in freezing point when 9 g glucose is dissolved in 100 g water.
(Kf=1.86 Kkgmol−1) -
A solution freezes at −0.372∘C. Calculate the molality of the solution.
(Kf=1.86 Kkgmol−1) - Explain the phenomenon of osmosis and define osmotic pressure.
- Derive the equation for osmotic pressure of a dilute solution.
- A solution contains 2 g of a polymer dissolved in 100 mL solution. Its osmotic pressure at 27°C is 0.246 atm. Calculate the molar mass of the polymer.
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Calculate the osmotic pressure of a 0.1 M glucose solution at 27°C.
(R=0.0821 LatmK−1mol−1) - Why is osmotic pressure preferred over other colligative properties for determining the molar mass of proteins and polymers?
- Explain reverse osmosis and mention its practical application.
- What are colligative properties? Explain why they depend only on the number of solute particles.
- Derive the expression for depression in freezing point.
- Derive the expression for elevation in boiling point.
- A solution containing 1.8 g of glucose in 100 g water shows a depression in freezing point of 0.186∘C. Calculate the molar mass of glucose.
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1 g of a non-electrolyte solute dissolved in 100 g benzene produces a depression in freezing point of 0.5 K. Calculate the molar mass of the solute.
(Kf for benzene=5.12 Kkgmol−1) - Explain abnormal molar mass with suitable examples.
- Define the van't Hoff factor and derive its relation with observed and calculated colligative properties.
- A 0.1 molal solution of CaCl2 shows 80% ionisation. Calculate its effective molality.
- Calculate the van't Hoff factor for Na2SO4 if its degree of dissociation is 60%.
- A solution of K2SO4 is 50% dissociated. Calculate its van't Hoff factor.
- A solute undergoes association to form dimers. Derive the expression for van't Hoff factor in terms of degree of association.
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A 0.1 molal solution of an electrolyte has a freezing point depression of 0.279 K. Calculate its van't Hoff factor.
(Kf=1.86 Kkgmol−1) - A compound AB2 dissociates into three ions with 70% dissociation. Calculate its van't Hoff factor.
- A solute associates to form trimers. If the degree of association is 60%, calculate the van't Hoff factor.
- Derive the relation between molar mass and elevation in boiling point.
- Derive the relation between molar mass and depression in freezing point.
- Explain why the addition of a non-volatile solute lowers the vapour pressure of a solvent.
- JEE Level: A solution contains equal masses of glucose and sucrose dissolved in equal masses of water. Compare their osmotic pressures at the same temperature.
- JEE Level: Two solutions have the same osmotic pressure at the same temperature. What relationship exists between their molar concentrations?
- JEE Level: 0.1 M NaCl and 0.1 M glucose solutions are compared at the same temperature. Which has greater osmotic pressure? Explain using van't Hoff factor.
- JEE Level: A solution contains NaCl with 90% ionisation. Calculate the van't Hoff factor and compare its freezing point depression with that of an ideal 0.1 m glucose solution.
- JEE Level: A 1 g sample of a polymer is dissolved in enough water to make 100 mL solution. At 27°C, its osmotic pressure is 0.0821 atm. Calculate its molar mass.
- JEE Level: A solution containing a non-volatile solute has a vapour pressure of 22.4 mm Hg at 25°C, while pure solvent has vapour pressure 24 mm Hg. Calculate the mole fraction of the solute.