CUET UG Chemistry Booster Test - 2 Ideal Solutions and Colligative Properties
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QUESTION 1 OF 20
If a binary solution of A and B obeys Raoult's law perfectly, the plot of total vapour pressure vs mole fraction (x₂) will be:
QUESTION 2 OF 20
Consider the intermolecular forces in a mixture of n-hexane and n-heptane:
1. It forms a nearly ideal solution.
2. Intermolecular forces between hexane and heptane are nearly equal to those in pure hexane and pure heptane.
3. The mixing process is highly exothermic.
4. The solution obeys Raoult's law over the entire range of concentrations.
QUESTION 3 OF 20
Why is the enthalpy of mixing (ΔmixH) precisely zero for an ideal solution?
QUESTION 4 OF 20
Arrange the following processes in terms of their volume of mixing (ΔmixV) from highest to lowest:
1. Solution showing large positive deviation
2. Ideal solution
3. Solution showing large negative deviation
QUESTION 5 OF 20
Identify the specific deviation type when the total vapour pressure is significantly lower than expected from Raoult's law calculations:
QUESTION 6 OF 20
The core molecular cause for a positive deviation from Raoult's law is:
QUESTION 7 OF 20
Identify the exact chemical mixture that explicitly represents weaker A-B interactions compared to A-A and B-B interactions:
QUESTION 8 OF 20
In a mixture of ethanol and acetone, the positive deviation from Raoult's law occurs strictly because:
QUESTION 9 OF 20
QUESTION 10 OF 20
QUESTION 11 OF 20
Match the following mixtures with their boiling characteristics:
| List 1 (Mixture Type) | List 2 (Boiling Characteristic) |
|---|---|
| 1. Ideal solution | a. Obeys Raoult's law entirely |
| 2. Minimum boiling azeotrope | b. Shows large positive deviation from Raoult's law |
| 3. Maximum boiling azeotrope | c. Shows large negative deviation from Raoult's law |
QUESTION 12 OF 20
Why is it chemically impossible to separate an azeotropic mixture completely by standard fractional distillation?
QUESTION 13 OF 20
Consider the properties of an ethanol-water minimum boiling azeotrope:
1. It contains approximately 95% ethanol by volume.
2. It forms due to large positive deviations from Raoult's law.
3. Further separation by fractional distillation is easily possible beyond 95%.
4. Liquid and vapour have the identical composition at this point.
QUESTION 14 OF 20
The concentration unit explicitly used to express the approximate composition of the nitric acid maximum boiling azeotrope in the text is:
QUESTION 15 OF 20
Identify the specific property type that depends solely on the number of particles rather than their chemical identity:
QUESTION 16 OF 20
The independence of colligative properties from the specific nature of the solute practically implies that:
QUESTION 17 OF 20
For a dilute solution containing a non-volatile solute, the mathematical term for relative lowering of vapour pressure, (p₁° - p₁)/p₁°, is directly equal to:
QUESTION 18 OF 20
When determining the molar mass of a solute from the relative lowering of vapour pressure, the assumption often made for very dilute solutions is:
QUESTION 19 OF 20
How does the addition of a non-volatile solute physically elevate the boiling point of the solution?
QUESTION 20 OF 20
The Molal Elevation Constant (Kb) depends entirely on:
Test Complete!
Answer Review
1 If a binary solution of A and B obeys Raoult's law perfectly, the plot of total vapour pressure vs mole fraction (x₂) will be:
�� Ideal solutions obey Raoult's law. �� Total vapour pressure changes linearly with composition. �� The graph is a straight line.
- For an ideal binary solution: Total Vapour Pressure = p₁° + (p₂° − p₁°) × x₂ This equation is of the form y = mx + c, representing a straight line. Therefore, the graph of total vapour pressure versus mole fraction is linear.
- �� Option A → Maximum occurs in positive deviation systems.
- �� Option B → Minimum occurs in negative deviation systems.
- �� Option D → Vapour pressure changes with composition.
Used
- Dimensional/Unit Analysis
Application:
- �� Recognize the linear equation form.
Final Logic:
- �� Linear equation produces a straight-line graph.
- Ideal Solution = Straight Line.
2 Consider the intermolecular forces in a mixture of n-hexane and n-heptane:
1. It forms a nearly ideal solution.
2. Intermolecular forces between hexane and heptane are nearly equal to those in pure hexane and pure heptane.
3. The mixing process is highly exothermic.
4. The solution obeys Raoult's law over the entire range of concentrations.
�� Hexane and heptane are chemically similar. �� Their intermolecular forces are nearly identical. �� They form nearly ideal solutions.
- n-Hexane and n-heptane possess similar molecular structures and intermolecular forces. Therefore: • They form an ideal or nearly ideal solution. • A-B interactions ≈ A-A interactions ≈ B-B interactions. • Raoult's law is obeyed over the entire composition range. Statement 3 is incorrect because ideal mixing has: Enthalpy of Mixing (ΔmixH) = 0 not highly exothermic.
- �� Option A → Includes Statement 3, which is incorrect.
- �� Option C → Includes Statement 3.
- �� Option D → Includes Statement 3.
Used
- Elimination
Application:
- �� Remove options containing the incorrect statement.
Final Logic:
- �� Similar molecules produce nearly ideal behaviour.
- Hexane + Heptane = Ideal Partners.
3 Why is the enthalpy of mixing (ΔmixH) precisely zero for an ideal solution?
�� Similar intermolecular forces exist before and after mixing. �� Energy required equals energy released. �� Net enthalpy change becomes zero.
- In an ideal solution: A-B interactions ≈ A-A interactions ≈ B-B interactions The energy needed to separate molecules is approximately equal to the energy released when new interactions form. Hence: Enthalpy of Mixing = 0
- �� Option A → Not the reason for ΔmixH = 0.
- �� Option C → Chemical bonds are not broken.
- �� Option D → Molecular kinetic energy never drops to zero.
Used
- Contextual/Tonal Matching
Application:
- �� Recall the NCERT condition defining ideal solutions.
Final Logic:
- �� Equal intermolecular forces lead to zero enthalpy change.
- Equal Forces = Zero Heat.
4 Arrange the following processes in terms of their volume of mixing (ΔmixV) from highest to lowest:
1. Solution showing large positive deviation
2. Ideal solution
3. Solution showing large negative deviation
�� Positive deviation often causes expansion. �� Ideal solutions show zero volume change. �� Negative deviation often causes contraction.
- Positive deviation occurs when A-B attractions are weaker, causing expansion: ΔmixV > 0 Ideal solutions have: ΔmixV = 0 Negative deviation occurs when A-B attractions are stronger: ΔmixV < 0 Therefore: Positive Deviation > Ideal Solution > Negative Deviation
- �� Option B → Reverses the correct trend.
- �� Option C → Places ideal solution first.
- �� Option D → Places negative deviation ahead of ideal.
Used
- Option Grouping
Application:
- �� Compare expansion and contraction behaviour.
Final Logic:
- �� Expansion > Zero Change > Contraction.
- Positive Expands, Negative Contracts.
5 Identify the specific deviation type when the total vapour pressure is significantly lower than expected from Raoult's law calculations:
�� Stronger A-B interactions reduce escaping tendency. �� Vapour pressure becomes lower than predicted. �� This is negative deviation.
- In negative deviation systems: A-B interactions > A-A and B-B interactions Stronger attractions hold molecules in the liquid phase more effectively, reducing vapour pressure below Raoult's law predictions.
- �� Option A → Produces higher vapour pressure.
- �� Option C → Not an NCERT classification.
- �� Option D → Not a recognized term.
Used
- Elimination
Application:
- �� Link lower vapour pressure with stronger intermolecular forces.
Final Logic:
- �� Lower-than-expected vapour pressure indicates negative deviation.
- Negative = Lower Vapour Pressure.
6 The core molecular cause for a positive deviation from Raoult's law is:
�� Weaker A-B attractions allow molecules to escape easily. �� Vapour pressure becomes higher. �� Positive deviation results.
- Positive deviation occurs when: A-B interactions < A-A and B-B interactions Because of weaker attractions, molecules escape more readily into the vapour phase, increasing vapour pressure beyond Raoult's law predictions.
- �� Option A → Association usually promotes negative deviation.
- �� Option C → Strong hydrogen bonding causes negative deviation.
- �� Option D → Density is not the determining factor.
Used
- Contextual/Tonal Matching
Application:
- �� Relate vapour pressure increase to intermolecular force weakening.
Final Logic:
- �� Weak A-B forces increase escaping tendency.
- Weak Bonds = More Escape.
7 Identify the exact chemical mixture that explicitly represents weaker A-B interactions compared to A-A and B-B interactions:
�� Ethanol-acetone shows positive deviation. �� Hydrogen bonding in ethanol is disrupted. �� Vapour pressure increases.
- Acetone disrupts the hydrogen-bonding network present in pure ethanol. The resulting ethanol-acetone interactions are weaker than the original interactions, producing positive deviation from Raoult's law.
- �� Option B → Shows negative deviation.
- �� Option C → Shows negative deviation.
- �� Option D → Shows negative deviation.
Used
- Odd One Out
Application:
- �� Identify the classic NCERT positive deviation example.
Final Logic:
- �� Ethanol + Acetone = Positive Deviation.
- Ethanol-Acetone Escapes More.
8 In a mixture of ethanol and acetone, the positive deviation from Raoult's law occurs strictly because:
�� Ethanol contains strong hydrogen bonds. �� Acetone disrupts these interactions. �� Weaker A-B interactions increase vapour pressure.
- Pure ethanol molecules are strongly associated through hydrogen bonding. When acetone is added, these hydrogen bonds are disrupted. The resulting ethanol-acetone attractions are weaker, leading to increased escaping tendency and positive deviation.
- �� Option B → Covalent bonds are not broken.
- �� Option C → Stronger hydrogen bonding would cause negative deviation.
- �� Option D → No inseparable complex is formed.
Used
- Contextual/Tonal Matching
Application:
- �� Recall the NCERT explanation for ethanol-acetone behaviour.
Final Logic:
- �� Breaking ethanol hydrogen bonds causes positive deviation.
- Acetone Breaks Ethanol H-Bonds.
9
�� Stronger A-B attractions hold molecules in solution. �� Escaping tendency decreases. �� Vapour pressure falls.
- The passage explicitly states that stronger A-B attractions decrease the tendency of molecules to escape into the vapour phase. This reduction lowers vapour pressure and causes negative deviation from Raoult's law.
- �� Option A → Dissociation is unrelated.
- �� Option B → Increased escaping tendency causes positive deviation.
- �� Option D → Weaker A-B interactions cause positive deviation.
Used
- Contextual/Tonal Matching
Application:
- �� Extract the key concept directly from the passage.
Final Logic:
- �� Strong A-B attractions lower vapour pressure.
- Strong Bonds = Low Vapour.
10
�� Chloroform and acetone form hydrogen bonds. �� Strong intermolecular attraction develops. �� Vapour pressure decreases.
- Chloroform contains a hydrogen atom capable of participating in hydrogen bonding with the oxygen atom of acetone. This strong intermolecular attraction lowers the escaping tendency of molecules and produces negative deviation from Raoult's law.
- �� Option B → Weak dispersion forces cannot explain the strong negative deviation.
- �� Option C → Ionic bonding is not formed.
- �� Option D → Coordinate bonding is not responsible.
Used
- Contextual/Tonal Matching
Application:
- �� Recall the standard NCERT example of chloroform-acetone interaction.
Final Logic:
- �� Hydrogen bonding causes negative deviation.
- Chloroform + Acetone = H-Bond.
11 Match the following mixtures with their boiling characteristics:
| List 1 (Mixture Type) | List 2 (Boiling Characteristic) |
|---|---|
| 1. Ideal solution | a. Obeys Raoult's law entirely |
| 2. Minimum boiling azeotrope | b. Shows large positive deviation from Raoult's law |
| 3. Maximum boiling azeotrope | c. Shows large negative deviation from Raoult's law |
�� Ideal solutions obey Raoult's law. �� Minimum boiling azeotropes show positive deviation. �� Maximum boiling azeotropes show negative deviation.
- Ideal solutions obey Raoult's law over the entire range of concentration. Minimum boiling azeotropes arise due to large positive deviation because vapour pressure becomes higher and boiling point becomes lower. Maximum boiling azeotropes arise due to large negative deviation because vapour pressure becomes lower and boiling point becomes higher.
- �� Option B → Ideal solution and minimum boiling azeotrope are incorrectly matched.
- �� Option C → Ideal solution and minimum boiling azeotrope are incorrectly matched.
- �� Option D → Ideal solution and maximum boiling azeotrope are incorrectly matched.
Used
- Option Grouping
Application:
- �� First match ideal solution with Raoult's law, then match azeotrope types using deviation.
Final Logic:
- �� Ideal = Raoult; Positive deviation = Minimum boiling; Negative deviation = Maximum boiling.
- Positive = Minimum Boiling, Negative = Maximum Boiling.
12 Why is it chemically impossible to separate an azeotropic mixture completely by standard fractional distillation?
�� Azeotropes boil at constant composition. �� Liquid and vapour compositions are identical. �� Fractional distillation cannot enrich either component.
- Fractional distillation separates liquids when vapour composition differs from liquid composition. In an azeotrope, the liquid and vapour phases have the same composition at the azeotropic point. Therefore, repeated vaporisation and condensation cannot separate the components completely.
- �� Option A → Azeotropes boil at constant temperature, not continuously changing temperature.
- �� Option C → Both components distil together at azeotropic composition.
- �� Option D → Crystallisation is unrelated to azeotropic distillation.
Used
- Contextual/Tonal Matching
Application:
- �� Focus on the defining feature of azeotropes.
Final Logic:
- �� Same liquid-vapour composition prevents complete separation.
- Same Vapour, Same Liquid, No Separation.
13 Consider the properties of an ethanol-water minimum boiling azeotrope:
1. It contains approximately 95% ethanol by volume.
2. It forms due to large positive deviations from Raoult's law.
3. Further separation by fractional distillation is easily possible beyond 95%.
4. Liquid and vapour have the identical composition at this point.
�� Ethanol-water forms a minimum boiling azeotrope. �� It contains about 95% ethanol by volume. �� It cannot be separated further by fractional distillation.
- Ethanol and water form a minimum boiling azeotrope at approximately 95% ethanol by volume. This occurs due to large positive deviation from Raoult's law. At the azeotropic composition, liquid and vapour phases have identical composition, so further separation by ordinary fractional distillation is not possible.
- �� Option B → Includes Statement 3, which is incorrect, and omits correct Statements 2 and 4.
- �� Option C → Includes Statement 3, which is incorrect.
- �� Option D → Includes Statement 3, which is false.
Used
- Elimination
Application:
- �� Remove options containing the false statement about easy further separation.
Final Logic:
- �� Statements 1, 2 and 4 are correct.
- Ethanol 95 = Azeotrope Stop.
14 The concentration unit explicitly used to express the approximate composition of the nitric acid maximum boiling azeotrope in the text is:
�� Nitric acid-water azeotrope is expressed by mass. �� NCERT mentions about 68% nitric acid by mass. �� It is a maximum boiling azeotrope.
- The nitric acid-water maximum boiling azeotrope is commonly described as containing approximately 68% nitric acid and 32% water by mass. Therefore, the unit used is percentage by mass.
- �� Option B → Ethanol-water azeotrope is commonly expressed by volume, not nitric acid-water.
- �� Option C → Molarity is not used for this azeotrope composition.
- �� Option D → ppm is used for trace quantities, not azeotropic composition.
Used
- Contextual/Tonal Matching
Application:
- �� Recall the NCERT azeotrope example and its composition unit.
Final Logic:
- �� Nitric acid-water azeotrope is expressed as % by mass.
- Nitric Acid Azeotrope = Mass Percent.
15 Identify the specific property type that depends solely on the number of particles rather than their chemical identity:
�� Colligative properties depend on particle number. �� Chemical identity is not important. �� Examples include vapour pressure lowering and boiling point elevation.
- Colligative properties are properties of solutions that depend only on the number of solute particles relative to the solvent particles and not on the chemical nature of the solute. Examples include relative lowering of vapour pressure, elevation of boiling point, depression of freezing point and osmotic pressure.
- �� Option A → Additive properties depend on the sum of individual contributions.
- �� Option C → Constitutive properties depend on molecular arrangement or structure.
- �� Option D → Chemical properties depend on chemical identity and reactivity.
Used
- Odd One Out
Application:
- �� Identify the term linked specifically with particle count.
Final Logic:
- �� Particle-count-dependent property = Colligative property.
- Colligative = Counting Particles.
16 The independence of colligative properties from the specific nature of the solute practically implies that:
�� Colligative properties depend on the number of solute particles. �� Urea and sucrose are non-electrolytes. �� Equal moles give nearly equal particle numbers.
- Colligative properties depend mainly on the number of solute particles present, not on the chemical identity of the solute. Since urea and sucrose are both non-electrolytes, 1 mol of each gives approximately the same number of particles in solution. Therefore, both lower the vapour pressure of water by nearly the same amount.
- �� Option A → This contradicts the particle-count basis of colligative properties.
- �� Option C → The solvent's nature matters because solvent constants and pure solvent properties affect the value.
- �� Option D → Ionic solute dissociation increases the number of particles and affects colligative values.
Used
- Option Grouping
Application:
- �� Compare the number of dissolved particles produced by both solutes.
Final Logic:
- �� Same number of non-electrolyte particles gives nearly same vapour pressure lowering.
- Colligative = Count particles, not names.
17 For a dilute solution containing a non-volatile solute, the mathematical term for relative lowering of vapour pressure, (p₁° - p₁)/p₁°, is directly equal to:
�� Relative lowering of vapour pressure is a colligative property. �� It depends on solute particle concentration. �� It equals the mole fraction of the non-volatile solute.
- For a dilute solution containing a non-volatile solute: Relative Lowering of Vapour Pressure = (Vapour Pressure of Pure Solvent − Vapour Pressure of Solution) ÷ Vapour Pressure of Pure Solvent This value is equal to the mole fraction of the solute.
- �� Option A → Mass alone does not define relative lowering of vapour pressure.
- �� Option B → The relation is equal to solute mole fraction, not solvent mole fraction.
- �� Option D → Total pressure is not used in this relation.
Used
- Substitution
Application:
- �� Apply the NCERT relation for relative lowering of vapour pressure.
Final Logic:
- �� Relative lowering of vapour pressure = mole fraction of solute.
- RLVP = Solute mole fraction.
18 When determining the molar mass of a solute from the relative lowering of vapour pressure, the assumption often made for very dilute solutions is:
�� Dilute solutions contain very little solute. �� Solvent is present in much larger amount. �� This simplifies mole fraction calculations.
- In very dilute solutions, the number of moles of solute is much smaller than the number of moles of solvent. Therefore: Moles of solute are much less than moles of solvent This assumption allows the total moles to be approximated mainly by the moles of solvent.
- �� Option A → This represents a concentrated solute condition, not a dilute solution.
- �� Option C → Dilute solutions do not have equal solute and solvent moles.
- �� Option D → Raoult's law is used for this calculation, not disobeyed.
Used
- Elimination
Application:
- �� Identify the statement consistent with a dilute solution.
Final Logic:
- �� Very dilute solution = solute moles much smaller than solvent moles.
- Dilute = Solute tiny, solvent huge.
19 How does the addition of a non-volatile solute physically elevate the boiling point of the solution?
�� Non-volatile solute lowers vapour pressure. �� Boiling occurs when vapour pressure equals atmospheric pressure. �� Higher temperature is needed to boil.
- Addition of a non-volatile solute reduces the number of solvent molecules escaping into vapour phase. This lowers the vapour pressure of the solution. Since boiling occurs when vapour pressure becomes equal to atmospheric pressure, the solution must be heated to a higher temperature to boil.
- �� Option A → Vapour pressure decreases, not increases.
- �� Option C → Boiling point elevation is not due to formation of new covalent bonds.
- �� Option D → Vapour pressure does not become equal to atmospheric pressure at room temperature.
Used
- Contextual/Tonal Matching
Application:
- �� Connect vapour pressure lowering with the boiling point condition.
Final Logic:
- �� Lower vapour pressure means more heat is required to boil.
- Lower vapour pressure = higher boiling point.
20 The Molal Elevation Constant (Kb) depends entirely on:
�� Kb is a solvent constant. �� It depends on the nature of the solvent. �� It is independent of solute identity.
- The molal elevation constant, Kb, is a characteristic property of the solvent. It depends on the chemical nature of the solvent and its physical properties. In boiling point elevation: Elevation in Boiling Point = Kb × Molality For a given solvent, Kb remains constant.
- �� Option A → Kb does not depend on solute identity.
- �� Option C → Concentration affects boiling point elevation, not the value of Kb.
- �� Option D → Atmospheric pressure does not define the solvent constant Kb.
Used
- Odd One Out
Application:
- �� Identify which factor defines a solvent-specific constant.
Final Logic:
- �� Kb belongs to the solvent.
- Kb = Boiling constant of solvent.
