CUET UG Chemistry Booster Test - 2 Fundamentals of Solutions
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QUESTION 1 OF 20
Arrange the following mixtures in decreasing order of macroscopic uniformity (most homogeneous to most heterogeneous):
1. A perfectly uniform alloy of brass
2. An aqueous solution containing 0.1 M NaCl
3. A partially settled suspension of chalk in water
4. Freshly mixed sand and water
QUESTION 2 OF 20
In a syrup containing 60 g of sugar and 40 g of water, what is the analytical reason for classifying water as the solvent despite its lower mass?
QUESTION 3 OF 20
Identify the specific classification of a solution containing exactly one solvent and one solute, such as an aqueous solution of glucose.
QUESTION 4 OF 20
If a binary solution is in a solid state at room temperature, which combination of physical states for the isolated solute and solvent prior to mixing is analytically impossible based on the solvent's role?
QUESTION 5 OF 20
Match the gaseous mixture concepts with their corresponding principles:
| List 1 (Gaseous Mixture Concept) | List 2 (Corresponding Principle) |
|---|---|
| 1. Mixture of O₂ and N₂ | a. Form homogeneous solutions in all proportions |
| 2. Dalton's Law of partial pressures | b. Total pressure equals sum of partial pressures |
| 3. Mole fraction in a binary gas mix | c. Useful in describing calculations involving gas mixtures |
| 4. Gas solvent properties | d. Determines the gaseous state of the final solution |
QUESTION 6 OF 20
When analyzing camphor subliming and mixing into nitrogen gas:
1. It forms a solid-in-gas solution.
2. Nitrogen acts as the solvent.
3. The final state is a liquid solution due to camphor's melting point.
4. It is a binary mixture.
QUESTION 7 OF 20
When assessing the solubility of a gas in a liquid, Henry's Law constant (K_H) is utilized. If the partial pressure of the gas is measured in bar, and solubility is measured in mole fraction, what is the expected unit for K_H?
QUESTION 8 OF 20
When a solid dissolves in a liquid dynamically, and the dissolution process is endothermic (ΔsolH > 0), the solubility strictly increases with rise in temperature according to which thermodynamic principle?
QUESTION 9 OF 20
Regarding the solution of hydrogen in palladium:
1. It is classified as a gas-in-solid solution.
2. Palladium retains its solid state and acts as the solvent.
3. The overall physical state of the solution is gaseous.
4. It is a homogeneous mixture.
QUESTION 10 OF 20
Analytically, why are alloys like bronze and brass considered solutions rather than simple mechanical mixtures?
QUESTION 11 OF 20
Consider a dilute solution of sodium chloride in water:
1. The number of solvent molecules vastly outnumbers the solute ions.
2. Adding a small amount of solvent significantly alters its qualitative "dilute" status.
3. Quantitative descriptions are preferred to avoid confusion over its exact concentration.
4. It implies a relatively very small quantity of solute.
QUESTION 12 OF 20
Match the term to its analytical description in the context of concentration.
| List 1 (Concentration Term) | List 2 (Analytical Description) |
|---|---|
| 1. Saturated solution | a. No more solute can be dissolved at the given temperature and pressure |
| 2. Unsaturated solution | b. More solute can still be dissolved at the same temperature |
| 3. Concentrated solution | c. Contains a relatively very large quantity of solute |
| 4. Dynamic equilibrium | d. Dissolution rate equals crystallization rate |
QUESTION 13 OF 20
If you mix 22 g of benzene with 122 g of carbon tetrachloride, what is the analytical formula used to calculate the mass percentage of benzene?
QUESTION 14 OF 20
For a 35% (v/v) solution of ethylene glycol used as antifreeze, how is the total volume of the solution analytically constrained?
QUESTION 15 OF 20
When preparing a mass by volume percentage solution in a pharmacy, the physical process of incorporating the solid active pharmaceutical ingredient into the liquid vehicle until a uniform single phase is reached is termed:
QUESTION 16 OF 20
Arrange the following saline solutions in decreasing order of their NaCl mass by volume percentage (w/V):
1. Hypertonic saline used to draw out fluid (>0.9% w/V)
2. Normal saline matching blood plasma (0.9% w/V)
3. Hypotonic saline causing cells to swell (<0.9% w/V)
QUESTION 17 OF 20
Analytically, the formula for calculating parts per million (ppm) of component A is
(Number of parts of A / Total number of parts of all components) × 10⁶.
This ratio can fundamentally represent which of the following?
QUESTION 18 OF 20
Identify the alternative unit commonly used interchangeably with parts per million (ppm) to express the trace concentration of pollutants dissolved in a liquid medium like water.
QUESTION 19 OF 20
QUESTION 20 OF 20
Test Complete!
Answer Review
1 Arrange the following mixtures in decreasing order of macroscopic uniformity (most homogeneous to most heterogeneous):
1. A perfectly uniform alloy of brass
2. An aqueous solution containing 0.1 M NaCl
3. A partially settled suspension of chalk in water
4. Freshly mixed sand and water
�� Brass alloy and NaCl solution are homogeneous. �� Chalk suspension is less uniform. 1. • Sand and water is clearly heterogeneous.
2. → A uniform brass alloy is highly homogeneous at the macroscopic level. A 0.1 M NaCl solution is also homogeneous because salt is uniformly dissolved in water. A partially settled chalk suspension shows non-uniform distribution, while freshly mixed sand and water is visibly heterogeneous.
- �� Option B → Places sand-water before chalk suspension, which is less appropriate.
- �� Option C → Places sand-water before partially settled chalk suspension.
- 3. • Option D → Places suspension before homogeneous alloy, which is incorrect.
Used
- 4. Option Grouping
Application:
- �� Group homogeneous mixtures first, then arrange visibly non-uniform mixtures later.
Final Logic:
- �� Homogeneous solutions/alloys come before suspensions and coarse mixtures.
1. → Uniform first, visible particles last.
2 In a syrup containing 60 g of sugar and 40 g of water, what is the analytical reason for classifying water as the solvent despite its lower mass?
�� Syrup remains liquid. �� Water determines the final physical state. 1. • Therefore, water acts as solvent.
2. → The solvent generally determines the physical state of the solution. Even though sugar is present in greater mass, the final syrup remains liquid because of water. Hence, water is considered the solvent.
- �� Option A → Water being a universal solvent is not the analytical reason here.
- �� Option C → Sugar is not always a solute regardless of context.
- 3. • Option D → Mole fraction is not the main basis used here.
Used
- 4. Contextual/Tonal Matching
Application:
- �� Focus on the clue that solvent determines the physical state of the solution.
Final Logic:
- �� Final state is liquid, so liquid water is the solvent.
1. → Solvent sets state.
3 Identify the specific classification of a solution containing exactly one solvent and one solute, such as an aqueous solution of glucose.
�� Binary means two components. �� One solvent and one solute make two components. 1. • Glucose in water is a binary solution.
2. → A binary solution contains exactly two components: one solute and one solvent. An aqueous solution of glucose contains glucose as solute and water as solvent, so it is a binary solution.
- �� Option A → Ternary solution contains three components.
- �� Option B → Glucose solution is not a colloidal suspension.
- 3. • Option D → Supersaturated refers to solute amount beyond normal saturation, not component number.
Used
- 4. Substitution
Application:
- �� Substitute the number of components into the definition.
Final Logic:
- �� One solute + one solvent = binary solution.
1. → Binary = Two.
4 If a binary solution is in a solid state at room temperature, which combination of physical states for the isolated solute and solvent prior to mixing is analytically impossible based on the solvent's role?
�� Solvent determines final physical state. �� Solid solution requires solid solvent. 1. • Liquid solvent would give liquid solution.
2. → The physical state of a solution is generally determined by the solvent. If the final binary solution is solid, the solvent must be solid. Therefore, a solid solute with a liquid solvent is analytically inconsistent with a final solid solution.
- �� Option A → Solid solute and solid solvent can form solid-in-solid solution.
- �� Option B → Gas solute and solid solvent can form gas-in-solid solution.
- 3. • Option C → Liquid solute and solid solvent can form liquid-in-solid solution.
Used
- 4. Elimination
Application:
- �� Eliminate all options where the solvent is solid because they can form solid solutions.
Final Logic:
- �� Solid final solution needs solid solvent.
1. → Final state follows solvent.
5 Match the gaseous mixture concepts with their corresponding principles:
| List 1 (Gaseous Mixture Concept) | List 2 (Corresponding Principle) |
|---|---|
| 1. Mixture of O₂ and N₂ | a. Form homogeneous solutions in all proportions |
| 2. Dalton's Law of partial pressures | b. Total pressure equals sum of partial pressures |
| 3. Mole fraction in a binary gas mix | c. Useful in describing calculations involving gas mixtures |
| 4. Gas solvent properties | d. Determines the gaseous state of the final solution |
�� O₂ and N₂ form homogeneous gas mixtures. �� Dalton's law relates total pressure to partial pressures. 1. • Mole fraction helps in gas mixture calculations.
2. → A mixture of oxygen and nitrogen forms a homogeneous gaseous solution. Dalton's law states that total pressure equals the sum of partial pressures. Mole fraction is useful in gas mixture calculations, especially where partial pressure is involved. The gas solvent determines the gaseous state of the final solution.
- �� Option B → Dalton's law and mole fraction are incorrectly matched.
- �� Option C → Mixture of O₂ and N₂ is not mainly defined as a calculation unit.
- 3. • Option D → Most matches are incorrectly paired.
Used
- 4. Option Grouping
Application:
- �� First match Dalton's law with partial pressure, then match mole fraction with gas calculations.
Final Logic:
- �� O₂ + N₂ = homogeneous gas solution; Dalton = partial pressures.
1. → Dalton adds pressures.
6 When analyzing camphor subliming and mixing into nitrogen gas:
1. It forms a solid-in-gas solution.
2. Nitrogen acts as the solvent.
3. The final state is a liquid solution due to camphor's melting point.
4. It is a binary mixture.
�� Camphor is solid solute. �� Nitrogen is gaseous solvent. 1. • It is a binary solid-in-gas solution.
2. → Camphor subliming and mixing uniformly into nitrogen gas forms a solid-in-gas solution. Nitrogen acts as the gaseous solvent and camphor acts as the solute. Since only two components are involved, it is a binary mixture.
- �� Option B → Includes Statement 3, which is incorrect.
- �� Option C → Omits Statement 1, which is correct.
- 3. • Option D → Includes Statement 3, which is false.
Used
- 4. Elimination
Application:
- �� Identify the incorrect statement about liquid solution and remove options containing it.
Final Logic:
- �� Camphor + nitrogen = solid-in-gas binary solution.
1. → Camphor in nitrogen = solid in gas.
7 When assessing the solubility of a gas in a liquid, Henry's Law constant (K_H) is utilized. If the partial pressure of the gas is measured in bar, and solubility is measured in mole fraction, what is the expected unit for K_H?
�� Henry's law: p = KH x. �� Mole fraction is dimensionless. 1. • Therefore, KH has unit of pressure.
2. → According to Henry's law, partial pressure of gas is proportional to its mole fraction in solution: p = KH x. Since mole fraction has no unit, KH must have the same unit as pressure. If pressure is measured in bar, KH is also expressed in bar.
- �� Option A → mol L⁻¹ is a concentration unit, not KH here.
- �� Option C → bar⁻¹ would apply to inverse pressure, not KH in p = KHx.
- 3. • Option D → KH is not dimensionless when pressure is given in bar.
Used
- 4. Dimensional/Unit Analysis
Application:
- �� Compare units on both sides of Henry's law equation.
Final Logic:
- �� p = KHx; x has no unit, so KH = pressure unit.
1. → Henry's constant carries pressure.
8 When a solid dissolves in a liquid dynamically, and the dissolution process is endothermic (ΔsolH > 0), the solubility strictly increases with rise in temperature according to which thermodynamic principle?
�� Endothermic dissolution absorbs heat. �� Temperature rise favours heat-absorbing process. 1. • Solubility increases according to Le Chatelier's principle.
2. → If dissolution is endothermic, heat acts like a reactant. According to Le Chatelier's principle, increasing temperature favours the forward process that absorbs heat. Hence, solubility increases with rise in temperature.
- �� Option A → Raoult's law relates vapour pressure and mole fraction.
- �� Option C → Henry's law relates gas solubility to pressure.
- 3. • Option D → Dalton's law relates total pressure to partial pressures.
Used
- 4. Contextual/Tonal Matching
Application:
- �� Link endothermic dissolution and temperature change to equilibrium shift.
Final Logic:
- �� Heat added favours endothermic dissolution.
1. → Endothermic loves heat.
9 Regarding the solution of hydrogen in palladium:
1. It is classified as a gas-in-solid solution.
2. Palladium retains its solid state and acts as the solvent.
3. The overall physical state of the solution is gaseous.
4. It is a homogeneous mixture.
�� Hydrogen is gas solute. �� Palladium is solid solvent. 1. • The final solution is homogeneous and solid.
2. → Hydrogen in palladium is a gas-in-solid solution. Palladium remains solid and acts as the solvent, so the final solution is solid, not gaseous. It is homogeneous because hydrogen is uniformly distributed in palladium.
- �� Option B → Includes Statement 3, which is incorrect.
- �� Option C → Includes Statement 3 and omits Statement 1.
- 3. • Option D → Includes Statement 3, which is false.
Used
- 4. Elimination
Application:
- �� Remove all options containing the false statement that the solution is gaseous.
Final Logic:
- �� Solid solvent palladium gives a solid solution.
1. → Hydrogen hides in palladium.
10 Analytically, why are alloys like bronze and brass considered solutions rather than simple mechanical mixtures?
�� Alloys are homogeneous solid solutions. �� Their properties are uniform throughout. 1. • They are not simple visible mixtures.
2. → Alloys like bronze and brass are considered solid solutions because their components are uniformly distributed at the macroscopic level. They do not show visible separation like mechanical mixtures and have uniform metallic properties throughout.
- �� Option A → Visible boundaries indicate heterogeneity, not solution behavior.
- �� Option C → Alloys cannot be separated by simple filtration.
- 3. • Option D → Alloys are not always metal and non-metal combinations.
Used
- 4. Odd One Out
Application:
- �� Select the option that expresses homogeneity, the key property of solutions.
Final Logic:
- �� Uniform composition and properties make alloys solid solutions.
1. → Alloy = uniform metal mix.
11 Consider a dilute solution of sodium chloride in water:
1. The number of solvent molecules vastly outnumbers the solute ions.
2. Adding a small amount of solvent significantly alters its qualitative "dilute" status.
3. Quantitative descriptions are preferred to avoid confusion over its exact concentration.
4. It implies a relatively very small quantity of solute.
Dilute solutions contain relatively less solute. Solvent molecules greatly outnumber solute particles. Quantitative concentration is preferred for accuracy.
- A dilute solution contains a relatively small amount of solute compared to the solvent, so Statement 1 is correct. NCERT emphasizes that qualitative terms like dilute and concentrated can create confusion; therefore quantitative descriptions are preferred, making Statement 3 correct. Statement 4 correctly defines a dilute solution. Statement 2 is incorrect because adding a small amount of solvent does not necessarily change its qualitative classification significantly.
- Option B → Includes Statement 2, which is incorrect.
- Option C → Includes Statement 2 and omits Statement 1.
- Option D → Includes Statement 2 while excluding Statement 3.
Used
- Elimination
Application:
- �� Identify the incorrect statement and eliminate all options containing it.
Final Logic:
- Only Statements 1, 3 and 4 correctly describe a dilute solution.
Dilute = Less Solute, More Solvent.
12 Match the term to its analytical description in the context of concentration.
| List 1 (Concentration Term) | List 2 (Analytical Description) |
|---|---|
| 1. Saturated solution | a. No more solute can be dissolved at the given temperature and pressure |
| 2. Unsaturated solution | b. More solute can still be dissolved at the same temperature |
| 3. Concentrated solution | c. Contains a relatively very large quantity of solute |
| 4. Dynamic equilibrium | d. Dissolution rate equals crystallization rate |
Saturated solutions cannot dissolve more solute. Unsaturated solutions can dissolve additional solute. Dynamic equilibrium means equal dissolution and crystallization rates.
- A saturated solution contains the maximum amount of dissolved solute at a given temperature and pressure. An unsaturated solution can dissolve more solute. A concentrated solution contains a relatively large amount of solute, while dynamic equilibrium exists when dissolution and crystallization occur at equal rates.
- Option B → Saturated and unsaturated solutions are interchanged.
- Option C → Concentrated solution and dynamic equilibrium are incorrectly matched.
- Option D → All four matches are incorrect.
Used
- Option Grouping
Application:
- �� Match the fixed definition of dynamic equilibrium first and then identify saturated and unsaturated solutions.
Final Logic:
- Saturated → no more dissolution; Unsaturated → more dissolution possible.
Saturated Stops, Unsaturated Starts.
13 If you mix 22 g of benzene with 122 g of carbon tetrachloride, what is the analytical formula used to calculate the mass percentage of benzene?
Mass percentage uses total solution mass. Total mass = 22 + 122 = 144 g. Solute mass divided by total mass × 100.
- Mass percentage is calculated as Mass of solute / Total mass of solution × 100 Therefore, 22/(22+122) ×100 = 22/144 ×100.
- Option A → Uses solvent mass instead of total solution mass.
- Option B → Calculates solvent percentage.
- Option D → Uses an incorrect mathematical expression.
Used
- Dimensional/Unit Analysis
Application:
- �� Apply the standard NCERT formula for mass percentage.
Final Logic:
- Mass percentage always uses total solution mass.
w/w = Solute ÷ Solution ×100
14 For a 35% (v/v) solution of ethylene glycol used as antifreeze, how is the total volume of the solution analytically constrained?
Volume percentage uses total solution volume. 35% v/v means 35 volumes per 100 volumes solution. Commonly used for liquid-liquid solutions.
- Volume percentage is defined as Volume of solute / Volume of solution ×100. Thus, 35% (v/v) means 35 volumes of ethylene glycol are present in every 100 volumes of the final solution.
- Option A → Water addition is not necessarily 65 mL because solution volumes are not always additive.
- Option C → Uses solvent volume instead of solution volume.
- Option D → Refers to mass rather than volume.
Used
- Dimensional/Unit Analysis
Application:
- �� Identify that v/v uses solution volume, not solvent volume.
Final Logic:
- 35% v/v = 35 volumes in 100 volumes solution.
v/v = Volume in Volume.
15 When preparing a mass by volume percentage solution in a pharmacy, the physical process of incorporating the solid active pharmaceutical ingredient into the liquid vehicle until a uniform single phase is reached is termed:
Solid particles disperse into liquid. A homogeneous single phase is formed. This process is dissolution.
- Dissolution is the physical process in which solute particles separate and become uniformly distributed throughout the solvent, producing a homogeneous solution. Pharmaceutical preparations commonly rely on this process.
- Option A → Fractional distillation separates liquids based on boiling points.
- Option B → Sublimation converts solid directly into gas.
- Option D → Coagulation causes particles to aggregate instead of forming a homogeneous solution.
Used
- Contextual/Tonal Matching
Application:
- �� Focus on the phrase "uniform single phase."
Final Logic:
- Uniform solid-liquid mixing is dissolution.
Dissolution = Disappear into Solution.
16 Arrange the following saline solutions in decreasing order of their NaCl mass by volume percentage (w/V):
1. Hypertonic saline used to draw out fluid (>0.9% w/V)
2. Normal saline matching blood plasma (0.9% w/V)
3. Hypotonic saline causing cells to swell (<0.9% w/V)
Hypertonic saline has the highest NaCl concentration. Normal saline contains 0.9% (w/V) NaCl. Hypotonic saline contains less than 0.9% (w/V) NaCl.
- Hypertonic saline has a sodium chloride concentration greater than 0.9% (w/V), making it the highest concentration. Normal saline contains exactly 0.9% (w/V) NaCl and is isotonic with blood plasma. Hypotonic saline contains less than 0.9% (w/V) NaCl, making it the lowest concentration. Therefore, the decreasing order is Hypertonic > Normal > Hypotonic.
- Option B → Arranges the concentrations in increasing order instead of decreasing order.
- Option C → Places normal saline before hypertonic saline.
- Option D → Places hypotonic saline above normal saline.
Used
- Option Grouping
Application:
- �� Compare each saline solution with the standard 0.9% (w/V) concentration.
Final Logic:
- Greater than 0.9% > 0.9% > Less than 0.9%.
Hyper > Normal > Hypo
17 Analytically, the formula for calculating parts per million (ppm) of component A is
(Number of parts of A / Total number of parts of all components) × 10⁶.
This ratio can fundamentally represent which of the following?
ppm expresses extremely small concentrations. It can be based on mass or volume ratios. It is widely used for trace substances.
- Parts per million (ppm) expresses one part of a component per one million parts of the mixture. Depending on the system being studied, it may represent mass/mass, volume/volume, or mass/volume ratios. Therefore, ppm is a flexible concentration unit applicable to different types of measurements.
- Option A → ppm is not restricted to mass/mass measurements.
- Option B → ppm is not limited to volume/volume measurements.
- Option C → ppm is not limited to mass/volume measurements.
Used
- Dimensional/Unit Analysis
Application:
- �� Identify the possible numerator and denominator combinations used in ppm calculations.
Final Logic:
- ppm can represent multiple ratio types depending on the application.
ppm = Parts in a Million (Any Ratio)
18 Identify the alternative unit commonly used interchangeably with parts per million (ppm) to express the trace concentration of pollutants dissolved in a liquid medium like water.
ppm is used for trace concentrations. Very small pollutant concentrations are often expressed in mg mL⁻¹ or ppm in NCERT context. Both represent extremely low concentrations.
- NCERT mentions that trace concentrations of pollutants in water are commonly expressed in parts per million (ppm) or mg mL⁻¹. These units are convenient for representing very small quantities of dissolved substances in large amounts of solvent.
- Option A → mol L⁻¹ represents molarity, not trace concentration.
- Option C → g L⁻¹ is used for relatively larger concentrations.
- Option D → mol kg⁻¹ represents molality.
Used
- Contextual/Tonal Matching
Application:
- �� Recall the NCERT example of pollutant concentration units.
Final Logic:
- Trace pollutants are commonly expressed in ppm or mg mL⁻¹.
Pollutants → ppm or mg mL⁻¹
19
Molality depends on mass of solvent. Mass is temperature independent. Therefore molality remains constant with temperature.
- Molality is defined as moles of solute per kilogram of solvent. Since mass does not change with temperature, molality remains constant even when temperature varies. Molarity, however, depends on solution volume, which changes with temperature.
- Option A → Molality uses kilograms of solvent, not litres.
- Option C → Molarity remains temperature dependent.
- Option D → Molality does not automatically adjust for volume changes; it simply does not depend on volume.
Used
- Contextual/Tonal Matching
Application:
- �� Identify the sentence in the passage explaining why molality is temperature independent.
Final Logic:
- Mass remains constant while volume changes.
Molality = Mass = Stable
20
Molarity = moles per litre. Heating increases solution volume. Moles remain unchanged, so molarity decreases.
- Molarity is defined as the number of moles of solute per litre of solution. When the solution is heated, its volume increases due to thermal expansion, while the number of moles of solute remains constant. Consequently, the molarity decreases.
- Option A → Increased kinetic energy does not increase molarity.
- Option C → Molarity is temperature dependent and therefore does not remain constant.
- Option D → The decrease is due to volume expansion, not loss of solute mass.
Used
- Dimensional/Unit Analysis
Application:
- �� Apply the definition of molarity (moles/volume) and analyze the effect of increasing volume.
Final Logic:
- Constant moles + increased volume = decreased molarity.
Heat ↑ → Volume ↑ → Molarity ↓
