CUET UG Chemistry Booster Test - 3 Henry's Law and Raoult's Law
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QUESTION 1 OF 20
QUESTION 2 OF 20
Based on the passage, the newly established dynamic equilibrium after compression is defined by:
QUESTION 3 OF 20
Henry's Law properties:
1. High KH values imply lower solubility at a constant given pressure
2. Mole fraction of gas in solution is inversely proportional to partial pressure
3. Only applicable for solids dissolving in liquids
4. Provides a qualitative rather than quantitative relationship
QUESTION 4 OF 20
If N₂ gas exerts a partial pressure of 0.987 bar and KH for N₂ at 293 K is 76,480 bar, the mole fraction of N₂ in the aqueous solution is:
QUESTION 5 OF 20
Arrange the following gases in decreasing order of their KH values in water at 293 K:
1. He
2. H₂
3. N₂
4. O₂
QUESTION 6 OF 20
The unit of KH is expressed as kbar in some tables. The conversion to standard bar units means 1 kbar is equal to:
QUESTION 7 OF 20
Based on Le Chatelier's Principle, because dissolution of a gas in a liquid releases heat (ΔsolH < 0), what happens when the ambient temperature is elevated?
QUESTION 8 OF 20
Identify the reaction type for the phase change when a gas molecule enters the liquid phase and releases heat:
QUESTION 9 OF 20
Identify the name of the medical condition characterized by climbers becoming weak and unable to think clearly due to low blood oxygen at high altitudes:
QUESTION 10 OF 20
Match the phenomenological application (List-I) with its underlying reasoning (List-II):
| List 1 (Phenomenological Application) | List 2 (Underlying Reasoning) |
|---|---|
| 1. Soda bottles sealed under high pressure | a. Increases the solubility of CO₂ in the beverage |
| 2. Climbers experience Anoxia | b. Low atmospheric partial pressure lowers blood O₂ concentration |
| 3. Scuba tanks contain 11.7% Helium | c. Dilution minimizes toxic effects of N₂ |
| 4. Scuba divers suffer from Bends | d. Ascending decreases pressure, releasing dissolved N₂ bubbles |
QUESTION 11 OF 20
At equilibrium, if component 1 has p₁⁰ = 200 mm Hg and component 2 has p₂⁰ = 415 mm Hg, the vapour phase will always be richer in:
QUESTION 12 OF 20
Vapour pressure of binary liquid solution properties:
(A) The partial vapour pressure of each component varies linearly with its mole fraction
(B) The minimum value of p_total corresponds to the vapour pressure of the less volatile pure component
(C) The plots for partial pressures pass through points where x = 1 and x = 0
(D) The total pressure over the solution is the product of partial pressures
QUESTION 13 OF 20
According to Raoult's Law, the equation p_total = p₁⁰ + (p₂⁰ - p₁⁰) x₂ mathematically proves that:
QUESTION 14 OF 20
In Raoult's formula p₁ = p₁⁰ × x₁, the identity of p₁⁰ denotes:
QUESTION 15 OF 20
Binary liquid mole fraction calculations (vapour phase) properties:
(A) The mole fraction of a component in vapour phase is yi = pi / p_total
(B) Based directly on Dalton's law of partial pressures
(C) Always richer in the more volatile component
(D) Depends on the osmotic pressure of the solution
QUESTION 16 OF 20
For a binary solution where x₂ = 0.688, x₁ = 0.312, and p_total = 347.9 mm Hg, if p₂ = 285.5 mm Hg, what is the mole fraction y₂ of component 2 in the vapour phase?
QUESTION 17 OF 20
Comparing p₁ = x₁p₁⁰ and p = KHx, Raoult's Law behaves essentially as a specialized instance of Henry's Law. What fundamentally distinguishes p₁⁰ from KH in typical solutions?
QUESTION 18 OF 20
In comparing Henry's Law and Raoult's Law, the partial pressure of the volatile component is:
QUESTION 19 OF 20
The fraction of the surface covered by solvent molecules is reduced when a non-volatile solute is added. This physical mechanism directly results in:
QUESTION 20 OF 20
If 1.0 mol of urea and 1.0 mol of sucrose are added separately to 1 kg samples of water at the same temperature, Raoult's law predicts that the vapour pressure lowering in both containers will be:
Test Complete!
Answer Review
1
�� Compression increases gas particles per unit volume. �� More particles strike the solution surface. 1. • Gas solubility increases until new equilibrium is reached.
2. → When the gas is compressed, the same number of gaseous particles occupy a smaller volume. This increases the number of gaseous particles per unit volume above the solution. As a result, more gas particles strike the surface of the solution and enter the liquid phase, increasing solubility until a new dynamic equilibrium is established.
- �� Option A → Evaporation does not instantly become zero.
- �� Option C → Solvent freezing is unrelated to pressure increase in this context.
- 3. • Option D → Gas particles do not completely stop leaving the solution.
Used
- 4. Contextual/Tonal Matching
Application:
- �� Use the direct cause-effect explanation given in the passage.
Final Logic:
- �� Compression increases gas particle collisions with the solution surface.
1. → Compress Gas, More Particles Hit.
2 Based on the passage, the newly established dynamic equilibrium after compression is defined by:
�� Compression increases gas pressure. �� Higher pressure increases gas solubility. 1. • A new dynamic equilibrium is reached.
2. → After compression, pressure over the solution increases. This increases the number of gas particles striking and entering the liquid phase. Therefore, more gas dissolves until a new equilibrium is reached at higher gas pressure and increased solubility.
- �� Option A → Compression increases pressure, not lowers it.
- �� Option C → Dynamic equilibrium does not mean particle movement stops.
- 3. • Option D → The liquid does not expand significantly due to compression of gas.
Used
- 4. Elimination
Application:
- �� Eliminate options contradicting pressure-solubility relation and dynamic equilibrium.
Final Logic:
- �� Higher pressure produces higher solubility before new equilibrium.
1. → New Pressure, New Solubility.
3 Henry's Law properties:
1. High KH values imply lower solubility at a constant given pressure
2. Mole fraction of gas in solution is inversely proportional to partial pressure
3. Only applicable for solids dissolving in liquids
4. Provides a qualitative rather than quantitative relationship
�� Henry's Law: p = KHx. �� At constant pressure, x = p/KH. 1. • Higher KH means lower solubility.
2. → Henry's Law is expressed as p = KHx. At a given pressure, x = p/KH. Therefore, if KH is high, the mole fraction of gas dissolved in the solution is low. Statement 2 is incorrect because mole fraction is directly proportional to pressure, not inversely proportional. Statement 3 is incorrect because Henry's Law applies to gases in liquids. Statement 4 is incorrect because Henry's Law gives a quantitative relationship.
- �� Option B → Includes Statement 2, which is incorrect.
- �� Option C → Statements 3 and 4 are incorrect.
- 3. • Option D → Includes Statements 3 and 4, which are incorrect.
Used
- 4. Elimination
Application:
- �� Use Henry's Law equation to check each statement.
Final Logic:
- �� Only Statement 1 correctly follows from p = KHx.
1. → High KH = Hard to Dissolve.
4 If N₂ gas exerts a partial pressure of 0.987 bar and KH for N₂ at 293 K is 76,480 bar, the mole fraction of N₂ in the aqueous solution is:
�� Henry's Law: p = KHx. �� Rearranged form: x = p/KH. 1. • Substitute p = 0.987 bar and KH = 76,480 bar.
2. → According to Henry's Law: p = KHx Therefore, x = p / KH Substituting the given values: x = 0.987 / 76,480 Thus, the mole fraction of N₂ in the aqueous solution is represented by Option C.
- �� Option A → Uses 76.48 instead of 76,480.
- �� Option B → Inverts the correct formula.
- 1. • Option D → Multiplies p and KH instead of dividing.
Used
- 2. Substitution
Application:
- �� Rearrange Henry's Law and substitute the given values.
Final Logic:
- �� x = p/KH = 0.987/76,480.
1. → Henry: x = Pressure ÷ KH.
5 Arrange the following gases in decreasing order of their KH values in water at 293 K:
1. He
2. H₂
3. N₂
4. O₂
�� He has KH = 144.97 kbar. �� N₂ has KH = 76.48 kbar. 1. • H₂ has KH = 69.16 kbar and O₂ has KH = 34.86 kbar.
2. → Given KH values: He = 144.97 kbar H₂ = 69.16 kbar N₂ = 76.48 kbar O₂ = 34.86 kbar Decreasing order: He > N₂ > H₂ > O₂ Therefore, the correct order is 1, 3, 2, 4.
- �� Option B → Places H₂ before N₂, which is incorrect.
- �� Option C → Gives reverse-type order starting with the lowest KH.
- 1. • Option D → Places N₂ before He, which is incorrect.
Used
- 2. Option Grouping
Application:
- �� Compare numerical KH values from highest to lowest.
Final Logic:
- �� 144.97 > 76.48 > 69.16 > 34.86.
1. → He Highest, O₂ Lowest.
6 The unit of KH is expressed as kbar in some tables. The conversion to standard bar units means 1 kbar is equal to:
�� k means kilo. �� 1 kilo = 1000. 1. • Therefore, 1 kbar = 1000 bar.
2. → The prefix "kilo" represents 1000. Hence, 1 kilobar equals 1000 bar. Therefore, when KH is expressed in kbar, it can be converted to bar by multiplying by 1000.
- �� Option A → 100 bar is too small.
- �� Option B → 10 bar is too small.
- 3. • Option D → 0.001 bar is the inverse conversion idea, not 1 kbar.
Used
- 4. Dimensional/Unit Analysis
Application:
- �� Apply metric prefix conversion.
Final Logic:
- �� kbar = kilobar = 1000 bar.
1. → kilo = 1000.
7 Based on Le Chatelier's Principle, because dissolution of a gas in a liquid releases heat (ΔsolH < 0), what happens when the ambient temperature is elevated?
�� Gas dissolution is exothermic. �� Heating opposes the exothermic direction. 1. • Gas solubility decreases.
2. → Dissolution of gases in liquids is generally exothermic. According to Le Chatelier's Principle, increasing temperature shifts the equilibrium in the direction that absorbs heat. This favours the reverse process, causing gas to escape from the solution and decreasing gas solubility.
- �� Option B → Heating does not favour exothermic dissolution.
- �� Option C → The process does not spontaneously change its thermodynamic nature.
- 3. • Option D → KH does not become zero.
Used
- 4. Contextual/Tonal Matching
Application:
- �� Connect exothermic dissolution with the effect of heating.
Final Logic:
- �� Heat added shifts equilibrium backward, reducing gas solubility.
1. → Heat Pushes Gas Out.
8 Identify the reaction type for the phase change when a gas molecule enters the liquid phase and releases heat:
�� Gas enters liquid phase. �� Heat is released. 1. • This resembles condensation.
2. → When a gas molecule dissolves in a liquid, it moves from the gaseous phase into a more condensed liquid environment. This resembles condensation and releases heat, so it is treated as an exothermic process.
- �� Option B → Vaporization is liquid to gas and usually endothermic.
- �� Option C → Isochoric heating refers to heating at constant volume.
- 3. • Option D → Adiabatic expansion involves expansion without heat exchange.
Used
- 4. Odd One Out
Application:
- �� Identify the process most similar to gas entering a liquid phase.
Final Logic:
- �� Gas to condensed phase with heat release = exothermic condensation.
1. → Gas In, Heat Out.
9 Identify the name of the medical condition characterized by climbers becoming weak and unable to think clearly due to low blood oxygen at high altitudes:
�� High altitude has low oxygen partial pressure. �� Blood oxygen concentration decreases. 1. • This condition is called anoxia.
2. → At high altitudes, the partial pressure of oxygen is low. This reduces the concentration of oxygen in blood and body tissues. As a result, climbers may become weak and unable to think clearly. This condition is called anoxia.
- �� Option A → The bends occur in scuba divers due to nitrogen bubbles.
- �� Option C → Decompression sickness is another name for bends.
- 3. • Option D → Edema refers to fluid accumulation in tissues.
Used
- 4. Contextual/Tonal Matching
Application:
- �� Link high altitude oxygen deficiency with the correct medical term.
Final Logic:
- �� Low oxygen supply at high altitude = anoxia.
1. → Anoxia = No Oxygen.
10 Match the phenomenological application (List-I) with its underlying reasoning (List-II):
| List 1 (Phenomenological Application) | List 2 (Underlying Reasoning) |
|---|---|
| 1. Soda bottles sealed under high pressure | a. Increases the solubility of CO₂ in the beverage |
| 2. Climbers experience Anoxia | b. Low atmospheric partial pressure lowers blood O₂ concentration |
| 3. Scuba tanks contain 11.7% Helium | c. Dilution minimizes toxic effects of N₂ |
| 4. Scuba divers suffer from Bends | d. Ascending decreases pressure, releasing dissolved N₂ bubbles |
�� Soda bottles use high pressure to dissolve CO₂. �� Climbers face low oxygen partial pressure. 1. • Helium reduces nitrogen toxicity in scuba tanks.
2. → Soda bottles are sealed under high pressure to increase the solubility of CO₂ in the beverage. Climbers experience anoxia because low atmospheric partial pressure lowers oxygen concentration in blood. Scuba tanks contain helium to dilute nitrogen and reduce toxic effects. Bends occur when ascending divers face lower pressure, causing dissolved nitrogen to form bubbles.
- �� Option B → Soda and climber applications are incorrectly matched.
- �� Option C → Scuba and soda applications are incorrectly paired.
- 3. • Option D → All major applications are mismatched.
Used
- 4. Option Grouping
Application:
- �� Match each real-life phenomenon with the appropriate Henry's Law application.
Final Logic:
- �� Soda-CO₂ pressure; Climber-anoxia; Helium-N₂ dilution; Bends-N₂ bubbles.
1. → Soda CO₂, Climber O₂, Diver N₂.
11 At equilibrium, if component 1 has p₁⁰ = 200 mm Hg and component 2 has p₂⁰ = 415 mm Hg, the vapour phase will always be richer in:
�� Higher vapour pressure indicates greater volatility. �� More volatile components contribute more to the vapour phase. 1. • Component 2 has a higher vapour pressure than component 1.
2. → Vapour pressure is a measure of a liquid's tendency to escape into the vapour phase. Since component 2 has a vapour pressure of 415 mm Hg compared to 200 mm Hg for component 1, it is more volatile. Therefore, the vapour phase above the solution will contain a greater proportion of component 2 and will be richer in that component.
- �� Option A → Less volatile components contribute less to the vapour phase.
- �� Option C → Components do not evaporate equally unless they have identical vapour pressures.
- 3. • Option D → Vapour composition depends primarily on volatility, not molar mass.
Used
- 4. Option Grouping
Application:
- �� Compare vapour pressures to identify the more volatile component.
Final Logic:
- �� Higher vapour pressure means greater vapour-phase concentration.
1. → Higher Vapour Pressure = Higher Vapour Presence.
12 Vapour pressure of binary liquid solution properties:
(A) The partial vapour pressure of each component varies linearly with its mole fraction
(B) The minimum value of p_total corresponds to the vapour pressure of the less volatile pure component
(C) The plots for partial pressures pass through points where x = 1 and x = 0
(D) The total pressure over the solution is the product of partial pressures
�� Raoult's law predicts linear variation. �� Total pressure lies between the vapour pressures of pure components. 1. • Total pressure is the sum, not the product, of partial pressures.
2. → For an ideal binary solution, Raoult's law gives: p₁ = x₁p₁⁰ p₂ = x₂p₂⁰ Thus, partial vapour pressures vary linearly with mole fraction. The graph passes through x = 0 and x = 1. The minimum total vapour pressure corresponds to the vapour pressure of the less volatile component. Total vapour pressure is given by: p_total = p₁ + p₂ not their product.
- �� Option B → Omits statement B, which is correct.
- �� Option C → Statement D is incorrect.
- 1. • Option D → Total pressure is not the product of partial pressures.
Used
- 2. Elimination
Application:
- �� Check each statement using Raoult's law and Dalton's law.
Final Logic:
- �� A, B and C are correct; D is incorrect.
1. → Raoult = Linear, Dalton = Sum.
13 According to Raoult's Law, the equation p_total = p₁⁰ + (p₂⁰ - p₁⁰) x₂ mathematically proves that:
�� The equation contains only x₂. �� Total pressure changes linearly with mole fraction. 1. • Pure vapour pressures remain important constants.
2. → Since x₁ + x₂ = 1, Raoult's law can be rearranged into: p_total = p₁⁰ + (p₂⁰ − p₁⁰)x₂ This expression shows that total vapour pressure can be represented entirely using the mole fraction of a single component (x₂), along with the pure vapour pressures.
- �� Option A → The relationship is linear, not non-linear.
- �� Option C → Pure vapour pressures appear directly in the equation.
- 1. • Option D → Ideal solutions commonly contain two volatile liquids.
Used
- 2. Substitution
Application:
- �� Use x₁ + x₂ = 1 to derive the equation.
Final Logic:
- �� Total pressure can be written solely in terms of x₂.
1. → One Mole Fraction Can Describe the Whole System.
14 In Raoult's formula p₁ = p₁⁰ × x₁, the identity of p₁⁰ denotes:
�� p₁⁰ refers to the pure liquid. �� It is measured at the same temperature. 1. • It acts as the proportionality constant in Raoult's law.
2. → In Raoult's law: p₁ = x₁p₁⁰ p₁⁰ represents the vapour pressure exerted by the pure liquid component at the given temperature. It is a characteristic property of that liquid and serves as the proportionality constant.
- �� Option A → p₁ is the partial pressure in the mixture.
- �� Option B → Atmospheric pressure is unrelated.
- 1. • Option D → Henry's constant is represented by KH.
Used
- 2. Contextual/Tonal Matching
Application:
- �� Identify the meaning of the superscript zero.
Final Logic:
- �� Superscript zero indicates the pure component state.
1. → p⁰ = Pure Pressure.
15 Binary liquid mole fraction calculations (vapour phase) properties:
(A) The mole fraction of a component in vapour phase is yi = pi / p_total
(B) Based directly on Dalton's law of partial pressures
(C) Always richer in the more volatile component
(D) Depends on the osmotic pressure of the solution
�� Vapour composition is calculated using Dalton's law. �� More volatile components dominate the vapour phase. 1. • Osmotic pressure is unrelated.
2. → Dalton's law gives: yi = pi / p_total Therefore statement A is correct. The equation is derived directly from Dalton's law, making statement B correct. Since the more volatile component contributes more vapour, the vapour phase becomes richer in that component, making statement C correct. Osmotic pressure has no role in vapour-phase composition.
- �� Option B → Omits statement C.
- �� Option C → Statement D is incorrect.
- 1. • Option D → Statement D is not related to vapour-phase composition.
Used
- 2. Elimination
Application:
- �� Verify each statement using Dalton's law and volatility concepts.
Final Logic:
- �� A, B and C are correct; D is incorrect.
1. → Vapour Loves the More Volatile Component.
16 For a binary solution where x₂ = 0.688, x₁ = 0.312, and p_total = 347.9 mm Hg, if p₂ = 285.5 mm Hg, what is the mole fraction y₂ of component 2 in the vapour phase?
�� Vapour-phase mole fraction is calculated using Dalton's law. �� y₂ = p₂ / p_total. 1. • Substitute p₂ = 285.5 and p_total = 347.9.
2. → According to Dalton's law of partial pressures, the mole fraction of a component in the vapour phase is given by: y₂ = p₂ / p_total Here, p₂ = 285.5 mm Hg p_total = 347.9 mm Hg Therefore, y₂ = 285.5 / 347.9 Hence, Option B is correct.
- �� Option A → Uses p₂⁰ instead of p_total in the denominator.
- �� Option C → Represents liquid-phase mole fraction x₂, not vapour-phase mole fraction y₂.
- 1. • Option D → Inverts the correct formula.
Used
- 2. Dimensional/Unit Analysis
Application:
- �� Use Dalton's law to compare partial pressure with total pressure.
Final Logic:
- �� Vapour mole fraction = partial pressure / total pressure.
1. → y = vapour pressure part / total pressure.
17 Comparing p₁ = x₁p₁⁰ and p = KHx, Raoult's Law behaves essentially as a specialized instance of Henry's Law. What fundamentally distinguishes p₁⁰ from KH in typical solutions?
�� p₁⁰ is pure component vapour pressure. �� KH is Henry's law constant for gas solubility. 1. • Both act as proportionality constants.
2. → In Raoult's Law, p₁⁰ represents the vapour pressure of the pure liquid component at a given temperature. In Henry's Law, KH represents the proportionality constant for the solubility of a gas in a particular solvent at a given temperature. Thus, both are constants in pressure–mole fraction relations, but they refer to different physical systems.
- �� Option B → KH is not unitless; it has pressure units.
- �� Option C → Henry's Law is not limited only to non-ideal solutions.
- 3. • Option D → p₁⁰ mainly depends on temperature, not external pressure in this context.
Used
- 4. Contextual/Tonal Matching
Application:
- �� Compare the physical meaning of each proportionality constant.
Final Logic:
- �� p₁⁰ belongs to pure liquid vapour pressure; KH belongs to gas-solvent solubility.
1. → p⁰ = Pure liquid; KH = Gas Henry constant.
18 In comparing Henry's Law and Raoult's Law, the partial pressure of the volatile component is:
�� Henry's Law: p = KHx. �� Raoult's Law: p₁ = p₁⁰x₁. 1. • Both show direct proportionality.
2. → Henry's Law states that the partial pressure of a gas is directly proportional to its mole fraction in solution. Raoult's Law also states that the partial vapour pressure of a volatile component is directly proportional to its mole fraction in the liquid phase. Therefore, both laws use mole fraction as the proportional variable.
- �� Option B → Both laws show direct, not inverse, proportionality.
- �� Option C → Raoult's law does not relate partial pressure to volume.
- 3. • Option D → Henry's law directly depends on mole fraction.
Used
- 4. Substitution
Application:
- �� Compare the two equations term by term.
Final Logic:
- �� In both laws, p ∝ x.
1. → Pressure follows mole fraction.
19 The fraction of the surface covered by solvent molecules is reduced when a non-volatile solute is added. This physical mechanism directly results in:
�� Non-volatile solute reduces solvent surface coverage. �� Fewer solvent molecules escape. 1. • Vapour pressure decreases, causing boiling point elevation.
2. → When a non-volatile solute is added, part of the liquid surface is occupied by solute particles. This reduces the number of solvent molecules escaping into the vapour phase and lowers vapour pressure. Since a lower vapour pressure requires a higher temperature to equal atmospheric pressure, the boiling point increases.
- �� Option B → Vapour pressure decreases instead of spiking.
- �� Option C → Solubility or miscibility is not the direct result described.
- 3. • Option D → Solvent molecules do not turn into a solid because of vapour pressure lowering.
Used
- 4. Contextual/Tonal Matching
Application:
- �� Connect surface reduction with vapour pressure lowering and boiling point elevation.
Final Logic:
- �� Reduced solvent escape → lower vapour pressure → higher boiling point.
1. → Less vapour, more heat to boil.
20 If 1.0 mol of urea and 1.0 mol of sucrose are added separately to 1 kg samples of water at the same temperature, Raoult's law predicts that the vapour pressure lowering in both containers will be:
�� Vapour pressure lowering is colligative. �� It depends on number of solute particles. 1. • Urea and sucrose are non-electrolytes.
2. → Vapour pressure lowering is a colligative property. It depends on the number of solute particles present, not on their chemical identity, molar mass, or molecular size. Since 1.0 mol urea and 1.0 mol sucrose contain the same number of molecules and both behave as non-electrolytes, the vapour pressure lowering will be identical.
- �� Option A → Colligative properties do not depend on molar mass directly.
- �� Option C → Larger molecular size does not increase vapour pressure lowering when particle number is the same.
- 3. • Option D → Hydrogen bonding is not the deciding factor in Raoult's law prediction here.
Used
- 4. Option Grouping
Application:
- �� Identify the property as colligative and compare particle number.
Final Logic:
- �� Same moles of non-electrolyte solute = same vapour pressure lowering.
1. → Colligative counts particles, not identity.
