CUET UG Chemistry Booster Test - 2 Henry's Law and Raoult's Law
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QUESTION 1 OF 20
If a gas over a solution is compressed to a smaller volume, the number of gaseous particles per unit volume will:
QUESTION 2 OF 20
Arrange the following states of an oxygen-water system in decreasing order of oxygen solubility (assume constant T):
1. Under 5 atm pressure
2. Under 1 atm pressure
3. Under 10 atm pressure
4. Under 0.5 atm pressure
QUESTION 3 OF 20
Henry's Law properties:
1. Mole fraction in solution is proportional to partial pressure
2. Used to calculate the quantitative solubility of a gas
3. Dalton independently gave a similar conclusion
4. Valid only at varying temperature
QUESTION 4 OF 20
Match List-I (Gas at 293 K) with List-II (KH value in kbar):
| List 1 (Gas at 293 K) | List 2 (KH value in kbar) |
|---|---|
| 1. He | a. 144.97 |
| 2. Hā | b. 69.16 |
| 3. Nā | c. 76.48 |
| 4. Oā | d. 34.86 |
QUESTION 5 OF 20
The unit of KH matches the unit of which physical quantity in the equation p = KH x?
QUESTION 6 OF 20
According to the equation p = KH x, if KH is higher at a given pressure, the solubility of the gas in the liquid will be:
QUESTION 7 OF 20
Identify the process type that is considered similar to the dissolution of a gas in a liquid phase:
QUESTION 8 OF 20
Aquatic life finds it more comfortable in cold water than warm water because:
QUESTION 9 OF 20
QUESTION 10 OF 20
QUESTION 11 OF 20
Identify the name of the pressure exerted by the vapours of a liquid over the liquid phase when the rates of evaporation and condensation are equal:
QUESTION 12 OF 20
In a binary solution of two volatile liquids, the total vapour pressure over the solution:
QUESTION 13 OF 20
For an ideal solution of volatile liquids, the plot of partial vapour pressure (pā) versus mole fraction (xā) is:
QUESTION 14 OF 20
Binary liquid equations properties based on
[P_{total}=P_1^0+(P_2^0-P_1^0)x_2]
1. Total vapour pressure varies linearly with mole fraction of component 2
2. Total vapour pressure can be related to the mole fraction of any one component
3. Dependent entirely on atmospheric pressure
4. The equation proves Raoult's Law fails for ideal gases
QUESTION 15 OF 20
The composition of the vapour phase in equilibrium with the solution can be calculated using Dalton's law. What is the equation for the mole fraction of component 1 in the vapour phase (yā)?
QUESTION 16 OF 20
If pāā° = 200 mm Hg, pāā° = 415 mm Hg, and xā = 0.688, the total vapour pressure is calculated as 200 + (415 - 200) Ć 0.688. The total pressure is approximately:
QUESTION 17 OF 20
When Raoult's law is considered a special case of Henry's law, which parameter aligns perfectly in both mathematical forms representing the proportionality constant?
QUESTION 18 OF 20
Raoult's Law becomes exactly Henry's Law for a volatile gas in a liquid when:
QUESTION 19 OF 20
The decrease in vapour pressure of water by adding 1.0 mol of sucrose compared to adding 1.0 mol of urea to 1 kg of water is:
QUESTION 20 OF 20
The reduction in vapour pressure upon adding a non-volatile solute depends strictly on:
Test Complete!
Answer Review
1 If a gas over a solution is compressed to a smaller volume, the number of gaseous particles per unit volume will:
Compression reduces volume. Same gas particles occupy smaller space. Particles per unit volume increase.
- When a gas is compressed, its volume decreases while the number of gas particles remains the same. Therefore, the number of gaseous particles per unit volume increases. This increases the frequency of gas particles striking the liquid surface, promoting gas solubility.
- Option A ā Compression increases, not decreases, particles per unit volume.
- Option B ā The value changes because volume decreases.
- Option D ā Gas particles do not become zero.
Used
- Substitution
Application:
- �� Apply the relation: particles per unit volume = number of particles / volume.
Final Logic:
- �� Smaller volume with same particles means higher particle density.
Compress = Concentrate Gas
2 Arrange the following states of an oxygen-water system in decreasing order of oxygen solubility (assume constant T):
1. Under 5 atm pressure
2. Under 1 atm pressure
3. Under 10 atm pressure
4. Under 0.5 atm pressure
Gas solubility increases with pressure. Highest pressure gives highest solubility. Lowest pressure gives lowest solubility.
- According to Henry's Law, at constant temperature, the solubility of a gas in a liquid increases with pressure. Therefore, the decreasing order of oxygen solubility is 10 atm > 5 atm > 1 atm > 0.5 atm.
- Option B ā Does not place 10 atm first.
- Option C ā Gives increasing order instead of decreasing order.
- Option D ā Incorrectly places 1 atm before 10 atm.
Used
- Option Grouping
Application:
- �� Rank the given pressures from highest to lowest.
Final Logic:
- �� Greater pressure = greater gas solubility.
Pressure Up, Gas In
3 Henry's Law properties:
1. Mole fraction in solution is proportional to partial pressure
2. Used to calculate the quantitative solubility of a gas
3. Dalton independently gave a similar conclusion
4. Valid only at varying temperature
Henry's Law relates pressure and mole fraction. It gives quantitative gas solubility. It is applied at constant temperature.
- Henry's Law states that the solubility of a gas in a liquid is proportional to its partial pressure above the liquid. It is used to calculate quantitative solubility of gases. The relation is valid at constant temperature, so Statement 4 is incorrect.
- Option B ā Omits Statement 2, which is correct.
- Option C ā Includes Statement 4, which is incorrect.
- Option D ā Includes Statement 4 and omits Statements 1 and 3.
Used
- Elimination
Application:
- �� Remove options containing the false statement about varying temperature.
Final Logic:
- �� Henry's Law applies at constant temperature and relates pressure to gas solubility.
Henry = Gas Pressure Law
4 Match List-I (Gas at 293 K) with List-II (KH value in kbar):
| List 1 (Gas at 293 K) | List 2 (KH value in kbar) |
|---|---|
| 1. He | a. 144.97 |
| 2. Hā | b. 69.16 |
| 3. Nā | c. 76.48 |
| 4. Oā | d. 34.86 |
He has the highest KH value. Oā has the lowest KH among the listed gases. KH depends on the nature of gas.
- At 293 K, the NCERT values of Henry's Law constant are approximately: He = 144.97 kbar, Hā = 69.16 kbar, Nā = 76.48 kbar, and Oā = 34.86 kbar. Hence, the correct matching is 1-a, 2-b, 3-c, 4-d.
- Option B ā Incorrectly matches He with Oā value and Oā with He value.
- Option C ā Incorrectly matches He and Hā values.
- Option D ā Multiple gas-KH pairings are incorrect.
Used
- Option Grouping
Application:
- �� Match known NCERT Henry's Law constant values at 293 K.
Final Logic:
- �� He-144.97, Hā-69.16, Nā-76.48, Oā-34.86.
He Highest, Oā Lowest
5 The unit of KH matches the unit of which physical quantity in the equation p = KH x?
Henry's Law: p = KHx. Mole fraction has no unit. KH has same unit as pressure.
- In Henry's Law, p = KHx, where x is mole fraction and is dimensionless. Therefore, KH must have the same unit as p, which is partial pressure.
- Option A ā Mole fraction is dimensionless.
- Option B ā Temperature is not the unit of KH.
- Option D ā Volume is not involved as the unit of KH.
Used
- Dimensional/Unit Analysis
Application:
- �� Compare units on both sides of p = KHx.
Final Logic:
- �� Since x has no unit, KH has the unit of pressure.
KH Carries p Unit
6 According to the equation p = KH x, if KH is higher at a given pressure, the solubility of the gas in the liquid will be:
Henry's Law: p = KHx. At fixed pressure, x = p/KH. Higher KH means lower mole fraction.
- From Henry's Law: [x = {p}/{Kh}] At a given pressure, the mole fraction of gas in solution is inversely proportional to KH. Therefore, a higher KH value means lower solubility of the gas.
- Option A ā Higher KH indicates lower solubility, not higher.
- Option C ā Solubility changes with KH.
- Option D ā Solubility is not equal to KH.
Used
- Substitution
Application:
- �� Rearrange Henry's Law equation to x = p/KH.
Final Logic:
- �� KH ā ā x ā ā solubility ā.
High KH = Hard to Dissolve
7 Identify the process type that is considered similar to the dissolution of a gas in a liquid phase:
Gas enters liquid phase. This resembles gas changing to condensed phase. Hence it is like condensation.
- Dissolution of a gas in a liquid resembles condensation because gas molecules move from a gaseous state into a more condensed liquid environment. This process is generally exothermic.
- Option B ā Sublimation is solid to gas.
- Option C ā Vaporization is liquid to gas, opposite in direction.
- Option D ā Fusion is solid to liquid.
Used
- Odd One Out
Application:
- �� Identify the phase change most similar to gas entering liquid.
Final Logic:
- �� Gas into liquid resembles condensation.
Gas In Liquid = Condensation-like
8 Aquatic life finds it more comfortable in cold water than warm water because:
Gas solubility decreases with temperature. Cold water holds more dissolved oxygen. Aquatic organisms need dissolved oxygen.
- Dissolution of gases in liquids is generally exothermic. Therefore, increasing temperature decreases gas solubility, while lower temperature increases it. Cold water contains more dissolved oxygen, making it more suitable for aquatic life.
- Option A ā Oxygen's partial pressure is not zero in warm water.
- Option C ā Gas dissolution is exothermic, not endothermic condensation.
- Option D ā KH of oxygen is not zero at lower temperatures.
Used
- Contextual/Tonal Matching
Application:
- �� Connect aquatic life with dissolved oxygen and temperature effect.
Final Logic:
- �� Cold water holds more Oā.
Cold Water Holds Oxygen
9
Pressure decreases during ascent. Gas solubility decreases with pressure. Nitrogen comes out as bubbles.
- Underwater, high pressure increases the solubility of gases in blood. As the diver ascends, pressure decreases, reducing nitrogen solubility. Nitrogen then escapes from the blood as bubbles, blocking capillaries and causing bends.
- Option A ā The key cause is pressure decrease, not temperature drop.
- Option C ā Nitrogen does not react with helium.
- Option D ā Oxygen mole fraction does not become zero.
Used
- Contextual/Tonal Matching
Application:
- �� Use the passage explanation of pressure decrease and nitrogen bubble formation.
Final Logic:
- �� Pressure ā ā Nitrogen solubility ā ā Bubbles form.
Ascent Releases Nitrogen
10
Helium dilutes nitrogen in breathing gas. It reduces nitrogen toxicity. It helps prevent bends.
- Scuba tanks are filled with air diluted with helium to reduce the amount of nitrogen breathed under high pressure. This helps avoid excessive nitrogen dissolving in blood, thereby reducing the risk of bends and nitrogen toxicity.
- Option A ā Helium is not added to make the diver float.
- Option B ā The purpose is not to increase lung pressure.
- Option D ā Helium is chemically inert and does not react with oxygen.
Used
- Contextual/Tonal Matching
Application:
- �� Use the exact purpose stated in the passage.
Final Logic:
- �� Helium dilution reduces nitrogen-related dangers.
Helium Helps Divers
11 Identify the name of the pressure exerted by the vapours of a liquid over the liquid phase when the rates of evaporation and condensation are equal:
Evaporation and condensation occur simultaneously. Equal rates establish dynamic equilibrium. The resulting pressure is equilibrium vapour pressure.
- When a volatile liquid is kept in a closed container, molecules continuously evaporate and condense. A stage is reached where the rate of evaporation becomes equal to the rate of condensation. The pressure exerted by the vapour at this dynamic equilibrium is called the equilibrium vapour pressure.
- Option A ā Partial vapour pressure refers to the pressure contributed by one component in a mixture.
- Option C ā Atmospheric pressure is the pressure exerted by the atmosphere.
- Option D ā Osmotic pressure is associated with osmosis through a semipermeable membrane.
Used
- Contextual/Tonal Matching
Application:
- �� Identify the term directly associated with dynamic equilibrium between liquid and vapour.
Final Logic:
- �� Equal evaporation and condensation rates define equilibrium vapour pressure.
Equal Rates = Equilibrium Vapour Pressure
12 In a binary solution of two volatile liquids, the total vapour pressure over the solution:
Both volatile liquids contribute vapour. Each exerts its own partial pressure. Total pressure is their sum.
- According to Dalton's Law of Partial Pressures, the total vapour pressure over a binary solution of volatile liquids equals the sum of the partial vapour pressures of both components. [P_{total}=P_1+P_2] Thus, both liquids contribute to the total vapour pressure.
- Option A ā Both components contribute, not only the solvent.
- Option B ā Vapour pressure depends on mole fractions through Raoult's Law.
- Option D ā Vapour pressure does not become zero at equilibrium.
Used
- Substitution
Application:
- �� Recall Dalton's Law equation.
Final Logic:
- �� Total pressure equals sum of partial pressures.
Dalton Adds Pressures
13 For an ideal solution of volatile liquids, the plot of partial vapour pressure (pā) versus mole fraction (xā) is:
Raoult's Law: (p_1 = p_1^0x_1) Direct proportionality exists. Graph is a straight line through the origin.
- Raoult's Law states: [p_1 = p_1^0 x_1] Since partial vapour pressure is directly proportional to mole fraction, a graph of (p_1) versus (x_1) is a straight line passing through the origin with slope (p_1^0).
- Option B ā No quadratic relationship exists.
- Option C ā Pressure changes with mole fraction.
- Option D ā Hyperbolic variation is not predicted by Raoult's Law.
Used
- Substitution
Application:
- �� Use the Raoult's Law equation to determine graph shape.
Final Logic:
- �� Direct proportionality produces a straight line through the origin.
Raoult = Straight Line
14 Binary liquid equations properties based on
[P_{total}=P_1^0+(P_2^0-P_1^0)x_2]
1. Total vapour pressure varies linearly with mole fraction of component 2
2. Total vapour pressure can be related to the mole fraction of any one component
3. Dependent entirely on atmospheric pressure
4. The equation proves Raoult's Law fails for ideal gases
The equation is linear in (x_2). Vapour pressure can be expressed using either mole fraction. Atmospheric pressure is not involved.
- The equation [P_{total}=P_1^0+(P_2^0-P_1^0)x_2] shows that total vapour pressure changes linearly with mole fraction (x_2). Similar expressions can also be written using (x_1). Therefore, Statements 1 and 2 are correct.
- Option B ā Statement 3 is incorrect because atmospheric pressure does not appear in the equation.
- Option C ā Statements 3 and 4 are false.
- Option D ā Both statements are incorrect.
Used
- Elimination
Application:
- �� Remove options containing statements unrelated to Raoult's Law.
Final Logic:
- �� Only Statements 1 and 2 follow directly from the equation.
Linear Equation ā Linear Graph
15 The composition of the vapour phase in equilibrium with the solution can be calculated using Dalton's law. What is the equation for the mole fraction of component 1 in the vapour phase (yā)?
Dalton's law relates vapour composition to partial pressure. Vapour mole fraction equals pressure fraction. Formula uses partial pressure divided by total pressure.
- According to Dalton's Law of Partial Pressures, the mole fraction of a component in the vapour phase is: [ y_1=\frac{p_1}{p_{total}} ] where (p_1) is the partial pressure of component 1 and (p_{total}) is the total vapour pressure.
- Option B ā Inverts the correct relationship.
- Option C ā Does not represent vapour-phase mole fraction.
- Option D ā Multiplication of pressures has no physical meaning here.
Used
- Substitution
Application:
- �� Directly apply Dalton's Law expression.
Final Logic:
- �� Vapour mole fraction = Partial pressure / Total pressure.
y = Part / Total
16 If pāā° = 200 mm Hg, pāā° = 415 mm Hg, and xā = 0.688, the total vapour pressure is calculated as 200 + (415 - 200) Ć 0.688. The total pressure is approximately:
Use the given expression directly. Difference in pure vapour pressures = 215 mm Hg. Total pressure ā 347.9 mm Hg.
- Given: [ p_{total}=200+(415-200)\times0.688 ] [ =200+215\times0.688 ] [ =200+147.92 ] [ =347.92 \text{ mm Hg} ] So, the approximate total vapour pressure is 347.9 mm Hg.
- Option A ā 285.5 mm Hg is obtained from incorrect calculation.
- Option C ā 615.0 mm Hg incorrectly adds the pure vapour pressures directly.
- Option D ā 147.9 mm Hg represents only the added term, not the total pressure.
Used
- Dimensional/Unit Analysis
Application:
- �� Substitute values carefully into the vapour pressure equation and retain the unit mm Hg.
Final Logic:
- �� (200 + 147.92 = 347.92), so the answer is 347.9 mm Hg.
Calculate bracket first, then add base pressure.
17 When Raoult's law is considered a special case of Henry's law, which parameter aligns perfectly in both mathematical forms representing the proportionality constant?
Henry's Law: (p = K_Hx) Raoult's Law: (p_1 = p_1^0x_1) (p_1^0) corresponds to (K_H)
- Henry's Law is expressed as: [p = K_Hx] Raoult's Law is expressed as: [p_1 = p_1^0x_1] Both equations show pressure directly proportional to mole fraction. In Raoult's Law, the proportionality constant is the vapour pressure of the pure component, (p_1^0), which corresponds to (K_H) in Henry's Law.
- Option B ā Total pressure and mole fraction are not corresponding proportionality constants.
- Option C ā Partial pressure is the dependent variable, not the proportionality constant.
- Option D ā Volume and atmospheric pressure are not part of the proportionality comparison.
Used
- Substitution
Application:
- �� Compare both equations term by term.
Final Logic:
- �� (K_H) in Henry's Law aligns with (p_1^0) in Raoult's Law.
Henry has KH, Raoult has pā°.
18 Raoult's Law becomes exactly Henry's Law for a volatile gas in a liquid when:
Henry's Law uses (K_H). Raoult's Law uses (p_1^0). They match when (K_H = p_1^0).
- Henry's Law is: [ p = K_Hx ] Raoult's Law is: [ p_1 = p_1^0x_1 ] For Raoult's Law to become exactly equivalent to Henry's Law, the proportionality constants must be equal. Therefore, (p_1^0 = K_H).
- Option B ā Mole fraction approaching 1 does not make both laws exactly identical.
- Option C ā Solvent vapour pressure becoming zero is unrelated to the equality of the two laws.
- Option D ā Infinite (K_H) would not make the laws equivalent.
Used
- Substitution
Application:
- �� Compare the mathematical constants in both equations.
Final Logic:
- �� Same form becomes exact only when (p_1^0 = K_H).
Same law when constants same.
19 The decrease in vapour pressure of water by adding 1.0 mol of sucrose compared to adding 1.0 mol of urea to 1 kg of water is:
Vapour pressure lowering is a colligative property. It depends mainly on number of solute particles. 1 mol sucrose and 1 mol urea give similar particle amounts.
- Lowering of vapour pressure is a colligative property. It depends on the number of solute particles present, not on the chemical identity of the solute. Since sucrose and urea are both non-electrolytes and 1.0 mol of each gives approximately the same number of solute particles, the decrease in vapour pressure is nearly similar for both.
- Option A ā Sucrose does not cause much higher lowering because particle number is the same.
- Option B ā Urea also does not cause much higher lowering for the same reason.
- Option D ā Vapour pressure lowering is not zero when a non-volatile solute is added.
Used
- Option Grouping
Application:
- �� Identify the property as colligative and compare number of solute particles.
Final Logic:
- �� Same moles of non-electrolyte solute give nearly same vapour pressure lowering.
Colligative counts particles, not names.
20 The reduction in vapour pressure upon adding a non-volatile solute depends strictly on:
Non-volatile solute lowers vapour pressure. The effect depends on amount of solute particles. It is independent of colour or identity.
- When a non-volatile solute is added to a solvent, fewer solvent molecules occupy the surface and fewer escape into the vapour phase. The extent of vapour pressure lowering depends on the quantity or number of non-volatile solute particles present, not on their colour or chemical identity.
- Option A ā Vapour pressure lowering is a colligative property and does not depend strictly on chemical identity.
- Option C ā Colour has no role in vapour pressure lowering.
- Option D ā Vapour pressure reduction is not determined by vapour phase volume.
Used
- Elimination
Application:
- �� Eliminate properties unrelated to colligative behaviour.
Final Logic:
- �� More non-volatile solute particles cause greater vapour pressure lowering.
More Solute, Less Vapour.
