CUET UG Chemistry Booster Test - 3 Concentration Measures and Solubility
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QUESTION 1 OF 20
In a multi-component solution, if the moles of components are n₁, n₂, ... nᵢ, the mole fraction x₁ mathematically approaches 1 only when:
QUESTION 2 OF 20
Consider a binary mixture of components A and B:
1. xA + xB = 1
2. xA = nA / (nA + nB)
3. Mole fraction strongly depends on the volume of the solution.
4. Mole fraction is useful for relating vapour pressure with concentration.
QUESTION 3 OF 20
Molarity is calculated as moles of solute divided by the volume of solution. If volume is expressed in cubic decimetres (dm³), the unit becomes:
QUESTION 4 OF 20
Arrange the following conditions based on the predicted molarity of a fixed mass of solute in water (assuming the density of water decreases as temperature increases above 4°C), from highest molarity to lowest:
1. Solution at 20°C
2. Solution at 80°C
3. Solution at 50°C
QUESTION 5 OF 20
Match the solution parameters to determine molality (assume 100 g of water as the solvent in all cases):
| List 1 (Solution Parameter) | List 2 (Molality) |
|---|---|
| 1. 0.1 mol NaCl | a. 1.0 m |
| 2. 0.5 mol Glucose | b. 5.0 m |
| 3. 0.2 mol Urea | c. 2.0 m |
| 4. 0.05 mol KCl | d. 0.5 m |
QUESTION 6 OF 20
Identify the concentration term that utilizes the "Mass of solvent in kg" as its fundamental denominator, rendering it independent of thermal expansion.
QUESTION 7 OF 20
When the maximum dissolved amount is reached at a specified temperature, what type of chemical state is established between the solid solute and the solution?
QUESTION 8 OF 20
Why is anthracene highly soluble in benzene but largely insoluble in water?
QUESTION 9 OF 20
If a newly discovered synthetic solute dissolves perfectly in carbon tetrachloride (a non-polar solvent) but forms a separate immiscible layer in water, the solute is most likely:
QUESTION 10 OF 20
The "like dissolves like" principle is rooted in the energetics of solution formation. For a solid to dissolve effectively, its intermolecular interactions must be:
QUESTION 11 OF 20
When assessing a dynamic equilibrium in a saturated solution, the rate of solute particles going into the solution must be:
QUESTION 12 OF 20
If a saturated solution is in a state of dynamic equilibrium with undissolved solute, and the temperature and pressure are maintained constant, the concentration of the solute in the solution will:
QUESTION 13 OF 20
If a solution contains the maximum amount of solute dissolved in a given amount of solvent at a specific temperature, it is termed:
QUESTION 14 OF 20
Which condition proves a liquid solution is strictly unsaturated?
QUESTION 15 OF 20
For an endothermic dissolution, what is the thermodynamic sign of Δsol H, and how does Le Chatelier's principle predict its solubility shift when heated?
QUESTION 16 OF 20
If a solute forms a solution and the mixing beaker becomes noticeably hot (exothermic), placing the beaker in an ice bath will logically:
QUESTION 17 OF 20
Why does the volume of a solid or liquid phase remain virtually constant under varying pressure, leading to an independent solubility characteristic?
QUESTION 18 OF 20
In industrial chemical applications, if the concentration of a solid dissolved in a liquid needs to be altered, which parameter is practically useless to adjust?
QUESTION 19 OF 20
QUESTION 20 OF 20
Test Complete!
Answer Review
1 In a multi-component solution, if the moles of components are n₁, n₂, ... nᵢ, the mole fraction x₁ mathematically approaches 1 only when:
Mole fraction is a ratio. Total moles appear in the denominator. x₁ approaches 1 when other components become negligible.
- Mole fraction is defined as [x_1=\frac{n_1}{n_1+n_2+n_3+….] If the moles of all other components approach zero, the denominator becomes approximately equal to n₁, making x₁ approach 1. This represents an almost pure component.
- Option A → Solvent evaporation alone does not necessarily make x₁ equal to 1.
- Option B → An infinitely dilute solution makes the solute mole fraction approach zero, not one.
- Option D → Boiling point has no direct mathematical relation to mole fraction.
Used
- Substitution
Application:
- �� Substitute limiting values into the mole fraction formula.
Final Logic:
- �� Other components → 0 ⇒ x₁ → 1.
Only One Component → x = 1
2 Consider a binary mixture of components A and B:
1. xA + xB = 1
2. xA = nA / (nA + nB)
3. Mole fraction strongly depends on the volume of the solution.
4. Mole fraction is useful for relating vapour pressure with concentration.
Binary mole fractions add to one. Mole fraction uses moles only. It is used in Raoult's law.
- In a binary solution, [ x_A+x_B=1 ] and [ x_A=\frac{n_A}{n_A+n_B} ] Mole fraction is independent of volume and temperature and is widely used in vapour pressure calculations through Raoult's law.
- Option A → Statement 3 is incorrect because mole fraction does not depend on volume.
- Option C → Includes incorrect Statement 3.
- Option D → Omits correct Statement 2.
Used
- Elimination
Application:
- �� Remove options containing the false statement about volume dependence.
Final Logic:
- �� Statements 1, 2 and 4 are correct.
Mole Fraction = Moles Only
3 Molarity is calculated as moles of solute divided by the volume of solution. If volume is expressed in cubic decimetres (dm³), the unit becomes:
Molarity = moles/volume. Volume is measured in dm³. Unit becomes mol dm⁻³.
- Since molarity is moles of solute per cubic decimetre (litre) of solution, [ \text{Molarity}=\frac{\text{mol}}{\text{dm}^3} ] its unit is mol dm⁻³.
- Option B → Missing the denominator.
- Option C → Unit of molality.
- Option D → Unit for trace concentration.
Used
- Dimensional/Unit Analysis
Application:
- �� Apply the definition of molarity directly.
Final Logic:
- �� mol/dm³ = mol dm⁻³.
Molarity = Mole per dm³
4 Arrange the following conditions based on the predicted molarity of a fixed mass of solute in water (assuming the density of water decreases as temperature increases above 4°C), from highest molarity to lowest:
1. Solution at 20°C
2. Solution at 80°C
3. Solution at 50°C
Molarity depends on volume. Higher temperature increases volume. Larger volume means lower molarity.
- The number of moles remains constant, but solution volume increases with increasing temperature. Therefore, molarity decreases as temperature rises. Thus, 20°C > 50°C > 80°C.
- Option B → Places highest temperature first.
- Option C → Incorrectly ranks 50°C above 20°C.
- Option D → Places 80°C above 50°C.
Used
- Option Grouping
Application:
- �� Compare volume changes due to temperature.
Final Logic:
- �� Temperature ↑ ⇒ Volume ↑ ⇒ Molarity ↓.
Heat Up, Molarity Down
5 Match the solution parameters to determine molality (assume 100 g of water as the solvent in all cases):
| List 1 (Solution Parameter) | List 2 (Molality) |
|---|---|
| 1. 0.1 mol NaCl | a. 1.0 m |
| 2. 0.5 mol Glucose | b. 5.0 m |
| 3. 0.2 mol Urea | c. 2.0 m |
| 4. 0.05 mol KCl | d. 0.5 m |
100 g water = 0.1 kg. Molality = moles/kg solvent. Divide moles by 0.1.
- 0.1 mol / 0.1 kg = 1.0 m 0.5 mol / 0.1 kg = 5.0 m 0.2 mol / 0.1 kg = 2.0 m 0.05 mol / 0.1 kg = 0.5 m Hence the correct matching is Option A.
- Option B → Incorrectly assigns 0.1 mol NaCl as 5.0 m.
- Option C → Multiple incorrect molality values.
- Option D → Does not satisfy molality calculations.
Used
- Dimensional/Unit Analysis
Application:
- �� Calculate molality using moles/kg solvent.
Final Logic:
- �� m = moles/0.1 kg.
100 g = Divide by 0.1
6 Identify the concentration term that utilizes the "Mass of solvent in kg" as its fundamental denominator, rendering it independent of thermal expansion.
Uses kg of solvent. Depends on mass. Independent of temperature.
- Molality is defined as moles of solute per kilogram of solvent. Since mass does not change with temperature, molality remains independent of thermal expansion.
- Option A → Depends on volume.
- Option C → Depends on volume.
- Option D → ppm is not fundamentally defined using kg of solvent.
Used
- Dimensional/Unit Analysis
Application:
- �� Identify the concentration expression using mass.
Final Logic:
- �� Mass-based concentration = Molality.
Molality = Kilogram
7 When the maximum dissolved amount is reached at a specified temperature, what type of chemical state is established between the solid solute and the solution?
Dissolution continues. Crystallisation continues. Both occur at equal rates.
- In a saturated solution, dissolution and crystallisation occur simultaneously at equal rates, establishing dynamic equilibrium while the concentration remains constant.
- Option A → The system is not static.
- Option C → Thermal runaway is unrelated.
- Option D → Supersaturation is a different condition.
Used
- Contextual/Tonal Matching
Application:
- �� Identify the equilibrium described in NCERT.
Final Logic:
- �� Equal forward and reverse processes = Dynamic equilibrium.
Dynamic = Both Continue
8 Why is anthracene highly soluble in benzene but largely insoluble in water?
Anthracene is non-polar. Benzene is non-polar. Like dissolves like.
- Similar intermolecular interactions allow anthracene to dissolve readily in benzene, whereas highly polar water cannot effectively replace anthracene-anthracene interactions.
- Option A → Anthracene is not ionic.
- Option C → Water does not chemically degrade anthracene.
- Option D → Benzene is non-polar.
Used
- Contextual/Tonal Matching
Application:
- �� Apply "like dissolves like."
Final Logic:
- �� Non-polar dissolves in non-polar.
Anthracene Likes Benzene
9 If a newly discovered synthetic solute dissolves perfectly in carbon tetrachloride (a non-polar solvent) but forms a separate immiscible layer in water, the solute is most likely:
Carbon tetrachloride is non-polar. Water is polar. Solute matches carbon tetrachloride.
- A substance that dissolves in non-polar carbon tetrachloride but remains immiscible with polar water is most likely non-polar, following the "like dissolves like" principle.
- Option A → Electrolytes dissolve well in polar solvents.
- Option B → Polar substances generally dissolve in water.
- Option D → Hydrated salts are ionic and polar.
Used
- Odd One Out
Application:
- �� Compare solvent polarity with solute behavior.
Final Logic:
- �� Solubility pattern identifies a non-polar solute.
CCl₄ Loves Non-polar
10 The "like dissolves like" principle is rooted in the energetics of solution formation. For a solid to dissolve effectively, its intermolecular interactions must be:
Similar interactions favor dissolution. New solvent-solute interactions compensate for broken bonds. Solution formation becomes energetically favorable.
- A substance dissolves effectively when solvent-solute interactions are comparable to solute-solute and solvent-solvent interactions. This allows smooth replacement of existing interactions and stabilizes the solution.
- Option A → Radically different interactions hinder dissolution.
- Option B → Solvent-solute interactions are essential.
- Option D → Dissolution is not restricted to ionic substances.
Used
- Contextual/Tonal Matching
Application:
- �� Apply the energetic basis of "like dissolves like."
Final Logic:
- �� Similar intermolecular forces produce stable solutions.
Similar Forces Mix Best
11 When assessing a dynamic equilibrium in a saturated solution, the rate of solute particles going into the solution must be:
Saturated solution shows dynamic equilibrium. Dissolution and crystallisation continue. Their rates become equal.
- In a saturated solution, solute particles continue to dissolve and crystallise at the same time. At dynamic equilibrium, the rate of particles entering the solution is exactly equal to the rate of particles separating out. Therefore, the concentration of solute remains constant.
- Option A → Dissolution does not stop at dynamic equilibrium.
- Option C → If dissolution is greater, the solution is not at equilibrium.
- Option D → The rate does not continuously increase at equilibrium.
Used
- Contextual/Tonal Matching
Application:
- �� Connect the phrase "dynamic equilibrium" with equal forward and reverse rates.
Final Logic:
- �� Dynamic equilibrium means equal dissolution and crystallisation rates.
Dynamic = Equal Rates
12 If a saturated solution is in a state of dynamic equilibrium with undissolved solute, and the temperature and pressure are maintained constant, the concentration of the solute in the solution will:
Dissolution rate equals crystallisation rate. No net change occurs. Solute concentration remains constant.
- In a saturated solution at dynamic equilibrium, solute particles dissolve and separate out at equal rates. Since temperature and pressure are constant, the solubility limit does not change. Hence, the concentration of solute in the solution remains constant.
- Option A → Equilibrium does not cause random concentration fluctuation.
- Option B → Concentration does not steadily decrease because dissolution continues.
- Option D → Concentration does not exponentially increase at equilibrium.
Used
- Elimination
Application:
- �� Eliminate options that show net concentration change.
Final Logic:
- �� Equal opposing rates keep concentration constant.
Equal Rates = Constant Concentration
13 If a solution contains the maximum amount of solute dissolved in a given amount of solvent at a specific temperature, it is termed:
Maximum solute has dissolved. Same temperature is specified. This defines a saturated solution.
- A saturated solution contains the maximum amount of solute that can dissolve in a given amount of solvent at a specific temperature. Any additional solute will not dissolve under the same conditions.
- Option A → An unsaturated solution can still dissolve more solute.
- Option C → Dilute means relatively small solute quantity.
- Option D → Supersaturated solution contains more solute than normally possible under stable conditions.
Used
- Extreme Word Filter
Application:
- �� Focus on the word "maximum," which directly indicates saturation.
Final Logic:
- �� Maximum dissolved solute = saturated solution.
Saturated = Full
14 Which condition proves a liquid solution is strictly unsaturated?
Unsaturated solution has not reached maximum solubility. It can dissolve additional solute. Same temperature condition is important.
- An unsaturated solution is one in which more solute can still dissolve at the same temperature. It has not reached the solubility limit, so additional solute can enter the solution.
- Option A → Dynamic equilibrium with undissolved solute indicates a saturated solution.
- Option C → Crystal formation may indicate saturation or supersaturation.
- Option D → Suspended particles indicate a heterogeneous mixture, not proof of unsaturation.
Used
- Elimination
Application:
- �� Eliminate options describing saturation, supersaturation, or heterogeneity.
Final Logic:
- �� Ability to dissolve more solute proves unsaturation.
Unsaturated = More Can Dissolve
15 For an endothermic dissolution, what is the thermodynamic sign of Δsol H, and how does Le Chatelier's principle predict its solubility shift when heated?
Endothermic process absorbs heat. Δsol H is positive. Heating favours dissolution.
- In an endothermic dissolution process, heat is absorbed, so Δsol H > 0. According to Le Chatelier's Principle, increasing temperature favours the heat-absorbing forward process. Therefore, solubility increases when the solution is heated.
- Option A → Δsol H < 0 indicates exothermic dissolution, not endothermic.
- Option C → Heating increases solubility for endothermic dissolution.
- Option D → This represents exothermic dissolution with heating, not endothermic behavior.
Used
- Option Grouping
Application:
- �� First identify the sign of endothermic dissolution, then link heating to solubility increase.
Final Logic:
- �� Endothermic = Δsol H > 0; heating increases solubility.
Endothermic = Positive Heat
16 If a solute forms a solution and the mixing beaker becomes noticeably hot (exothermic), placing the beaker in an ice bath will logically:
Exothermic dissolution releases heat. Cooling favors dissolution. Solubility increases.
- In an exothermic dissolution process (Δsol H < 0), heat behaves as a product. According to Le Chatelier's Principle, lowering the temperature by placing the beaker in an ice bath shifts the equilibrium toward the dissolution side to produce more heat. As a result, more solute dissolves and the solubility increases.
- Option A → Cooling does not decrease solubility for an exothermic dissolution.
- Option C → Crystallisation is not immediately forced; equilibrium simply shifts toward greater dissolution.
- Option D → Temperature significantly affects exothermic dissolution equilibria.
Used
- Contextual/Tonal Matching
Application:
- �� Recognize that cooling favors an exothermic process according to Le Chatelier's Principle.
Final Logic:
- �� Exothermic + Cooling = Increased solubility.
Exothermic + Cold = Dissolve More
17 Why does the volume of a solid or liquid phase remain virtually constant under varying pressure, leading to an independent solubility characteristic?
Solids and liquids are highly incompressible. Particle spacing changes very little. Pressure has negligible effect on solubility.
- In solids and liquids, particles are already packed closely together with very small intermolecular distances. Because of this, applying external pressure produces only negligible volume changes. Consequently, pressure has almost no influence on the solubility of solids in liquids.
- Option A → High kinetic energy is not responsible for incompressibility.
- Option C → Henry's law applies to gases dissolved in liquids, not solids.
- Option D → Pressure acts on all phases, although gases respond much more significantly.
Used
- Elimination
Application:
- �� Eliminate statements inconsistent with the physical properties of solids and liquids.
Final Logic:
- �� Closely packed particles ⇒ High incompressibility ⇒ Negligible pressure effect.
Close Packing = No Compression
18 In industrial chemical applications, if the concentration of a solid dissolved in a liquid needs to be altered, which parameter is practically useless to adjust?
Solids and liquids are incompressible. Pressure produces negligible solubility change. Temperature is much more effective.
- The solubility of solids in liquids is practically independent of pressure because both phases are highly incompressible. Therefore, changing external pressure is ineffective for altering concentration, whereas changing temperature or solvent composition can significantly affect solubility.
- Option A → Changing solvent amount directly changes concentration.
- Option B → Temperature significantly affects the solubility of many solids.
- Option C → The nature of the solute strongly influences its solubility.
Used
- Odd One Out
Application:
- �� Identify the parameter known to have negligible influence on solid-liquid solubility.
Final Logic:
- �� Pressure has almost no practical effect on solid-liquid solutions.
Solid + Liquid = Ignore Pressure
19
Gas solubility depends on pressure. Higher pressure forces more gas into solution. Solubility increases.
- As stated in the passage and explained by Henry's Law, increasing the pressure of a gas above a liquid increases the amount of gas that dissolves in the liquid. Therefore, gas solubility increases with increasing pressure.
- Option A → Increased pressure promotes dissolution rather than decreasing it.
- Option B → Gas solubility is significantly affected by pressure.
- Option D → Solubility changes predictably rather than fluctuating randomly.
Used
- Contextual/Tonal Matching
Application:
- �� Use the direct statement given in the passage.
Final Logic:
- �� Pressure ↑ ⇒ Gas solubility ↑.
More Pressure = More Gas Dissolves
20
Oxygen dissolves only to a small extent. Dissolved oxygen supports respiration. Aquatic organisms depend on it.
- Although oxygen is only sparingly soluble in water, the dissolved oxygen present is essential for the respiration and survival of fish and other aquatic organisms. This is one of the most important biological applications of gas solubility in liquids.
- Option A → Terrestrial photosynthesis does not primarily depend on dissolved oxygen in water.
- Option C → Coral reef formation mainly involves calcium carbonate deposition rather than oxygen solubility.
- Option D → Ocean water incompressibility is unrelated to dissolved oxygen supporting life.
Used
- Contextual/Tonal Matching
Application:
- �� Identify the biological application explicitly mentioned in the passage.
Final Logic:
- �� Dissolved oxygen ⇒ Aquatic life survives.
Small O₂ → Big Life
