COLLIGATIVE PROPERTIES 1. What are colligative properties? A) Properties that depend on the type of solute particles B) Properties that depend on the identity of the solvent C) Properties that depend on the number of solute particles in a solution D) Properties that depend on the molecular weight of the solute Answer: C) Properties that depend on the number of solute particles in a solution 7. Which colligative property is used in antifreeze to protect car engines from freezing? A) Boiling point elevation B) Freezing point depression C) Osmotic pressure D) Vapor pressure lowering Answer: B) Freezing point depression 8. The van't Hoff factor (i) represents: A) Boiling point elevation B) Freezing point depression C) Osmotic pressure D) Density Answer: D) Density A) The concentration of the solution B) The number of solute particles in solution relative to the number of formula units dissolved C) The boiling point of the solution D) The pressure exerted by the solute Answer: B) The number of solute particles in solution relative to the number of formula units dissolved 3. When a non-volatile solute is added to a solvent, what happens to the vapor pressure of the solution? 9. A 1 molal solution of NaCl will have an effective concentration of approximately: A) It increases B) It decreases C) It remains the same D) It first increases, then decreases Answer: B) It decreases A) 1 m B) 2 m C) 3 m D) 0.5 m Answer: B) 2 m 4. The decrease in vapor pressure due to the addition of a solute is described by which law? 10. Why does adding salt to water lower its freezing point? 2. Which of the following is NOT a colligative property? A) Henry’s Law B) Raoult’s Law C) Boyle’s Law D) Charles’s Law Answer: B) Raoult’s Law 5. The equation for boiling point elevation is: A) ΔTb = Kb × m B) ΔTf = Kf × m C) Π = iMRT D) P1 = X1 P0 Answer: A) ΔTb = Kb × m 6. The boiling point of a solution compared to the pure solvent is: A) Higher B) Lower C) The same D) Unaffected Answer: A) Higher A) It increases the kinetic energy of water molecules B) It disrupts the formation of the solid phase (ice) C) It increases the vapor pressure D) It decreases the temperature of water Answer: B) It disrupts the formation of the solid phase (ice) 11. The equation for osmotic pressure is: A) Π = iMRT B) ΔTb = Kb × m C) ΔTf = Kf × m D) P = F/A Answer: A) Π = iMRT 12. Which colligative property is used in reverse osmosis water purification? A) Freezing point depression B) Boiling point elevation C) Vapor pressure lowering D) Osmotic pressure Answer: D) Osmotic pressure 13. If two solutions of different concentrations are separated by a semipermeable membrane, water will move from: A) The more concentrated solution to the less concentrated solution B) The less concentrated solution to the more concentrated solution C) Both solutions equally D) Neither solution Answer: B) The less concentrated solution to the more concentrated solution 14. Which of the following solutes would have the greatest effect on freezing point depression per mole? A) Glucose B) NaCl C) MgCl₂ D) CH₄ Answer: C) MgCl₂ 15. If a solute is non-volatile, how does it affect the vapor pressure of a solution? A) Increases it B) Decreases it C) No effect D) First increases, then decreases Answer: B) Decreases it 16. What is the primary cause of boiling point elevation? A) Increased solute mass B) Solute particles interfering with solvent evaporation C) Increased solvent density D) Solvent molecules bonding with the solute Answer: B) Solute particles interfering with solvent evaporation 17. Which factor does NOT affect the magnitude of colligative properties? A) The identity of the solute B) The number of solute particles C) The concentration of the solute D) The van't Hoff factor Answer: A) The identity of the solute 18. What happens to the boiling point when a solute is added to water? A) It decreases B) It increases C) It remains unchanged D) It first increases, then decreases Answer: B) It increases 19. If a solution has a lower freezing point than pure water, what has likely been added? A) A volatile solute B) A non-volatile solute C) A gas D) A surfactant Answer: B) A non-volatile solute 20. What happens to osmotic pressure when the concentration of solute increases? A) It increases B) It decreases C) It remains the same D) It fluctuates Answer: A) It increases 21. What is the unit of osmotic pressure? A) Atmospheres (atm) B) Molarity (M) C) Molality (m) D) Grams per liter (g/L) Answer: A) Atmospheres (atm) 22. A solution is isotonic when: A) It has more solute than another solution B) It has less solute than another solution C) It has the same osmotic pressure as another solution D) It has a different vapor pressure Answer: C) It has the same osmotic pressure as another solution 23. In which application is osmotic pressure utilized? A) Ice cream making B) Reverse osmosis water purification C) Fractional distillation D) Electrolysis Answer: B) Reverse osmosis water purification 24. Which of the following does NOT affect colligative properties? A) The nature of the solute B) The number of solute particles C) The concentration of the solution D) The van't Hoff factor Answer: A) The nature of the solute 25. Why does seawater have a lower freezing point than freshwater? A) It has a higher osmotic pressure B) It contains dissolved salts that depress the freezing point C) It has a lower vapor pressure D) It is denser than freshwater Answer: B) It contains dissolved salts that depress the freezing point 26. What is the effect of increasing solute concentration on boiling point? A) No effect B) Decreases it C) Increases it D) Causes temperature fluctuations Answer: C) Increases it 27. Which type of solution has the highest osmotic pressure? A) Dilute solution B) Concentrated solution C) Pure solvent D) Supersaturated solution Answer: B) Concentrated solution 28. Colligative properties depend on: A) The type of solute B) The solvent's molecular weight C) The number of solute particles D) The temperature only Answer: C) The number of solute particles 29. Why is salt spread on icy roads? A) To lower the freezing point of water B) To increase vapor pressure C) To increase the freezing point D) To evaporate water Answer: A) To lower the freezing point of water 30. Which factor affects osmotic pressure the most? A) Solvent polarity B) Volume of the solution C) Temperature and concentration of solute D) Atmospheric pressure Answer: C) Temperature and concentration of solute Multiple Choice Questions on Colligative Properties (Set 2) 1. Which of the following is NOT affected by colligative properties? A) Boiling point B) Freezing point C) Molecular weight of solute D) Osmotic pressure Answer: C) Molecular weight of solute 2. Which statement best describes Raoult’s Law? A) The boiling point of a solution increases when solute is added. B) The vapor pressure of a solvent decreases when a solute is added. C) The freezing point of a solution is higher than that of the pure solvent. D) The osmotic pressure of a solution is independent of concentration. Answer: B) The vapor pressure of a solvent decreases when a solute is added. 3. If 1 mole of NaCl is dissolved in water, how many total particles does it produce? A) 1 B) 2 C) 3 D) 4 Answer: B) 2 4. A solution has a freezing point of -5°C. What can be said about this solution? A) It contains a volatile solute. B) It has a higher freezing point than pure water. C) It is a pure solvent. D) It contains a solute that lowers its freezing point. Answer: D) It contains a solute that lowers its freezing point. 5. Why does a sugar solution have a higher boiling point than pure water? A) Sugar molecules absorb more heat. B) Sugar increases the vapor pressure of water. C) Sugar molecules interfere with solvent evaporation. D) Sugar lowers the water temperature. Answer: C) Sugar molecules interfere with solvent evaporation. 6. If two solutions have the same concentration but one has a higher van’t Hoff factor, which will have a lower freezing point? A) The solution with the higher van’t Hoff factor B) The solution with the lower van’t Hoff factor C) Both will have the same freezing point D) Neither solution will freeze Answer: A) The solution with the higher van’t Hoff factor 7. Which property is used to determine the molar mass of an unknown solute? A) Boiling point elevation B) Freezing point depression C) Osmotic pressure D) All of the above Answer: D) All of the above 8. What is the van’t Hoff factor for CaCl₂ in an ideal solution? 15. Reverse osmosis works by applying: A) 1 B) 2 C) 3 D) 4 Answer: C) 3 A) Low pressure B) High temperature C) High pressure D) Low temperature Answer: C) High pressure 9. Which of the following solutions will have the highest boiling point? 16. What is the effect of a solute on the boiling point of a solution? A) 1.0 M NaCl B) 1.0 M K₂SO₄ C) 1.0 M C₆H₁₂O₆ (glucose) D) 1.0 M CH₃COOH Answer: B) 1.0 M K₂SO₄ A) It remains the same B) It increases C) It decreases D) It fluctuates Answer: B) It increases 10. Freezing point depression is directly proportional to: 17. Which of the following statements about colligative properties is TRUE? A) The type of solute B) The van’t Hoff factor and molality C) The temperature of the solution D) The initial freezing point of the solvent Answer: B) The van’t Hoff factor and molality 11. A 1.0 m aqueous solution of NaCl will freeze at approximately: A) 0°C B) -1.86°C C) -3.72°C D) -5.58°C Answer: C) -3.72°C 12. Why does adding a non-volatile solute decrease the vapor pressure of a solution? A) Solute particles replace solvent molecules at the surface. B) Solute molecules evaporate faster than the solvent. C) Solute molecules bond with solvent molecules permanently. D) Solute increases the volume of the solvent. Answer: A) Solute particles replace solvent molecules at the surface. 13. What is the primary factor affecting osmotic pressure? A) Solvent density B) Solute concentration C) Type of solute D) Solvent boiling point Answer: B) Solute concentration 14. A hypertonic solution compared to a cell will cause: A) No net water movement B) Water to move into the cell C) Water to move out of the cell D) The cell to burst Answer: C) Water to move out of the cell A) They depend only on the identity of the solute. B) They depend on the number of solute particles in solution. C) They are affected by the color of the solution. D) They do not change with concentration. Answer: B) They depend on the number of solute particles in solution. 18. Which of the following will have the greatest effect on boiling point elevation? A) 1.0 m NaCl B) 1.0 m KCl C) 1.0 m C₆H₁₂O₆ (glucose) D) 1.0 m CaCl₂ Answer: D) 1.0 m CaCl₂ 19. When a solution is hypotonic to a cell, what happens? A) Water moves out of the cell B) Water moves into the cell C) The cell remains the same D) The cell shrinks Answer: B) Water moves into the cell 20. The formula for freezing point depression is: A) ΔTb = Kb × m B) ΔTf = Kf × m C) Π = iMRT D) P = F/A Answer: B) ΔTf = Kf × m 21. Which factor does NOT affect boiling point elevation? A) The number of solute particles B) The type of solute C) The van’t Hoff factor D) The molality of the solution Answer: B) The type of solute 22. What happens to the vapor pressure of a solution when a non-volatile solute is added? A) It increases B) It decreases C) It remains the same D) It first increases, then decreases Answer: B) It decreases 23. If a solution has an osmotic pressure of 5 atm, what will happen if it is placed in a solution with an osmotic pressure of 10 atm? A) Water will enter the solution B) Water will leave the solution C) No water movement will occur D) The solution will dissolve Answer: B) Water will leave the solution 29. Freezing point depression is used in: A) Boiling food B) Road salt applications C) Solar panels D) Electrolysis Answer: B) Road salt applications 30. Osmosis occurs due to differences in: A) Temperature B) Concentration C) Pressure D) Volume Answer: B) Concentration Basic Concept of Van’t Hoff Factor 1. What does the Van’t Hoff factor (i) represent? a) The number of ions a solute forms in solution b) The freezing point of a solution c) The boiling point of a solvent d) The vapor pressure of a solvent Answer: a) The number of ions a solute forms in solution 2. For a non-electrolyte in solution, what is the expected Van’t Hoff factor (i)? a) 0 b) 1 c) 2 d) More than 1 Answer: b) 1 3. Which of the following would have the highest Van’t Hoff factor (assuming complete dissociation)? a) NaCl b) CaCl₂ c) KCl d) C₆H₁₂O₆ Answer: b) CaCl₂ 4. Which equation incorporates the Van’t Hoff factor when calculating colligative properties? a) ΔT = iK_f m b) PV = nRT c) E = mc² d) Molarity = moles/volume Answer: a) ΔT = iK_f m 5. For a solution of Na₂SO₄, what is the theoretical Van’t Hoff factor assuming full dissociation? a) 1 b) 2 c) 3 d) 4 Answer: c) 3 24. What is the effect of increasing temperature on osmotic pressure? A) It increases B) It decreases C) It remains the same D) It fluctuates Answer: A) It increases 25. Which has the lowest freezing point? A) 1.0 m NaCl B) 1.0 m C₆H₁₂O₆ C) 1.0 m MgCl₂ D) 1.0 m CH₄ Answer: C) 1.0 m MgCl₂ 26. The addition of a solute to a solvent will generally: A) Increase freezing point B) Lower osmotic pressure C) Increase boiling point D) Increase vapor pressure Answer: C) Increase boiling point 27. Osmotic pressure is measured in: A) Molarity B) Atmospheres C) Joules D) Celsius Answer: B) Atmospheres 28. A solvent with a dissolved solute will always have a: A) Higher freezing point B) Higher boiling point C) Lower osmotic pressure D) Lower boiling point Answer: B) Higher boiling point Effect of Van’t Hoff Factor on Colligative Properties 6. 7. 8. 9. Which colligative property decreases with an increasing Van’t Hoff factor? a) Boiling point b) Freezing point c) Osmotic pressure d) Vapor pressure lowering Answer: b) Freezing point Which of the following colligative properties is directly proportional to the Van’t Hoff factor? a) Boiling point elevation b) Freezing point depression c) Osmotic pressure d) All of the above Answer: d) All of the above A 0.1 m solution of NaCl will have a greater boiling point elevation than a 0.1 m solution of glucose because: a) NaCl dissociates into ions b) Glucose is an electrolyte c) NaCl has a higher molar mass d) Glucose increases vapor pressure Answer: a) NaCl dissociates into ions Which of the following statements about the Van’t Hoff factor is incorrect? a) It accounts for ion pairing in real solutions b) It is always equal to the number of ions in a compound c) It can be lower than expected due to incomplete dissociation d) It affects the magnitude of colligative properties Answer: b) It is always equal to the number of ions in a compound 10. Which of the following solutions will have the highest freezing point depression? a) 0.1 m NaCl b) 0.1 m BaCl₂ c) 0.1 m C₆H₁₂O₆ d) 0.1 m K₃PO₄ Answer: d) 0.1 m K₃PO₄ Van’t Hoff Factor in Electrolytes and Nonelectrolytes 11. What is the Van’t Hoff factor for KCl in an ideal solution? a) 1 b) 2 c) 3 d) 4 Answer: b) 2 12. Which of the following compounds will NOT change the Van’t Hoff factor when dissolved in water? a) Na₂SO₄ b) C₆H₁₂O₆ c) MgCl₂ d) FeCl₃ Answer: b) C₆H₁₂O₆ 13. For a solution of FeCl₃, what is the theoretical Van’t Hoff factor? a) 2 b) 3 c) 4 d) 5 Answer: c) 4 14. If the experimental Van’t Hoff factor for a strong electrolyte is lower than expected, what might be the reason? a) The solute did not dissolve b) Ion pairing occurred c) The solution was too concentrated d) The solvent evaporated Answer: b) Ion pairing occurred 15. Which of the following compounds is expected to have i ≈ 1 in an aqueous solution? a) HCl b) C₆H₁₂O₆ c) NaOH d) Ca(NO₃)₂ Answer: b) C₆H₁₂O₆ Advanced Applications of Van’t Hoff Factor 16. What is the primary assumption in Van’t Hoff’s factor calculations? a) Complete dissociation of strong electrolytes b) Ion pairing occurs frequently c) Weak acids ionize fully d) All solutions have the same freezing point depression Answer: a) Complete dissociation of strong electrolytes 17. Which equation relates the Van’t Hoff factor to osmotic pressure? a) Π = iMRT b) PV = nRT c) ΔT = K_f m d) ΔP = iK_b m Answer: a) Π = iMRT 18. Which factor does NOT directly influence the observed Van’t Hoff factor in real solutions? a) Concentration of the solution b) Temperature c) Nature of the solute d) Atmospheric pressure Answer: d) Atmospheric pressure 19. Which solution will have the highest osmotic pressure? a) 0.1 m NaCl b) 0.1 m C₆H₁₂O₆ c) 0.1 m MgCl₂ d) 0.1 m Al₂(SO₄)₃ Answer: d) 0.1 m Al₂(SO₄)₃ 20. Why does Al₂(SO₄)₃ have a high Van’t Hoff factor? a) It has strong intermolecular forces b) It dissociates into five ions c) It is a nonelectrolyte d) It has low solubility Answer: b) It dissociates into five ions 24. A 0.2 M solution of Al(NO₃)₃ has an osmotic pressure of 12.3 atm at 25°C. What is the experimental Van’t Hoff factor? a) 3 b) 4 c) 2.5 d) 3.5 Answer: d) 3.5 Solution: Freezing Point Depression & Boiling Point Elevation 21. A 0.2 m aqueous solution of NaCl has a freezing point depression constant (Kf) of 1.86 °C·kg/mol. Assuming complete dissociation, what is the freezing point depression? a) 0.372 °C b) 0.744 °C c) 1.86 °C d) 3.72 °C Answer: b) 0.744 °C Solution: 22. What is the boiling point elevation for a 1.5 m solution of CaCl₂ in water? (Kb for water = 0.512 °C·kg/mol, assume complete dissociation). a) 0.512 °C b) 1.024 °C c) 2.304 °C d) 1.536 °C Answer: d) 1.536 °C Colligative Property Comparisons 25. Which of the following solutions will have the lowest freezing point? a) 0.1 m NaCl b) 0.1 m BaCl₂ c) 0.1 m AlCl₃ d) 0.1 m C₆H₁₂O₆ Answer: c) 0.1 m AlCl₃. 26. Which of the following 0.2 m solutions will have the highest boiling point? a) NaCl b) CaCl₂ c) FeCl₃ d) Glucose Answer: c) FeCl₃ Solution: Molality and Van’t Hoff Factor Applications Osmotic Pressure Calculations 23. Calculate the osmotic pressure of a 0.3 M K₂SO₄ solution at 27°C. (R = 0.0821 L·atm/mol·K, assume complete dissociation). a) 3.69 atm b) 4.92 atm c) 6.15 atm d) 7.38 atm Answer: c) 6.15 atm Solution: 27. A solution contains 0.1 mol of NaCl dissolved in 500 g of water. What is the molality of the solution? a) 0.1 m b) 0.2 m c) 0.4 m d) 0.5 m Answer: b) 0.2 m 28. For a 1.0 m solution of KCl, the observed freezing point depression is 3.2°C instead of the expected 3.72°C. What is the experimental Van’t Hoff factor? a) 1.5 b) 1.7 c) 1.9 d) 2.0 Answer: b) 1.7 Solution: 3. What is the activity coefficient (γ) in a solution? A. A correction factor for non-ideal behavior B. A measure of solute concentration C. The ratio of solute to solvent D. A constant value for all solutions Answer: A. A correction factor for non-ideal behavior Real vs. Theoretical Van’t Hoff Factor 29. Which of the following best explains why the experimental Van’t Hoff factor is lower than the theoretical value? a) The solution is too dilute b) Some ions recombine due to interionic attraction c) The solvent does not dissolve the solute completely d) The solute does not dissociate at all Answer: b) Some ions recombine due to interionic attraction 30. A solution of 0.5 m MgCl₂ in water has an observed boiling point elevation of 0.64°C. (Kb for water = 0.512 °C·kg/mol). What is the experimental Van’t Hoff factor? a) 1.5 b) 2.5 c) 2.8 d) 3.0 Answer: c) 2.8 Solution: 4. In an ideal solution, what is the value of the activity coefficient (γ)? A. 0 B. 1 C. Greater than 1 D. Less than 1 Answer: B. 1 5. What happens to the activity coefficient as ionic strength increases? A. It increases B. It decreases C. It remains constant D. It fluctuates randomly Answer: B. It decreases 6. Which equation relates activity to molality for an electrolyte solution? A. a = γ × m B. a = m / γ C. a = γ × P D. a = m × P Answer: A. a = γ × m 7. Which colligative property is most directly related to solute activity? 1. What does the activity of a solute in a solution represent? A. The actual concentration of the solute B. The effective concentration accounting for interactions C. The number of moles of solute per liter D. The weight of solute in grams per liter Answer: B. The effective concentration accounting for interactions 2. How is activity (a) of a solute related to its concentration (C) in an ideal solution? A. a = C × P B. a = γ × C C. a = C / γ D. a = P / C Answer: B. a = γ × C A. Osmotic pressure B. Vapor pressure lowering C. Freezing point depression D. All of the above Answer: D. All of the above 8. Why does the presence of solutes lower the freezing point of a solution? A. Solute molecules interfere with solvent crystallization B. Solute increases the solution temperature C. Solutes increase vapor pressure D. Solutes make the solution more viscous Answer: A. Solute molecules interfere with solvent crystallization 9. How does increasing solute activity affect osmotic pressure? A. Increases it B. Decreases it C. Has no effect D. Causes random fluctuations Answer: A. Increases it 10. What is the main factor affecting solute activity in a solution? 17. What is the activity of a solute in a highly dilute solution? A. Temperature B. Pressure C. Ionic interactions D. Color of the solution Answer: C. Ionic interactions A. Nearly equal to its concentration B. Much greater than its concentration C. Close to zero D. Unrelated to concentration Answer: A. Nearly equal to its concentration 11. The Debye-Hückel equation is used to calculate: 18. The van’t Hoff factor (i) influences which colligative property? A. Activity coefficients of electrolytes B. Freezing point depression C. Osmotic pressure D. Boiling point elevation Answer: A. Activity coefficients of electrolytes 12. In non-ideal solutions, why does activity differ from concentration? A. Due to intermolecular forces B. Due to temperature fluctuations C. Because of solvent evaporation D. Because concentration remains constant Answer: A. Due to intermolecular forces 13. What is the typical range for the activity coefficient in real solutions? A. 0 < γ ≤ 1 B. 1 < γ < 10 C. γ = 0 D. γ = ∞ Answer: A. 0 < γ ≤ 1 14. What effect does increasing ionic strength have on solute activity? A. Freezing point depression B. Osmotic pressure C. Boiling point elevation D. All of the above Answer: D. All of the above 19. The concept of solute activity is most relevant in which type of solution? A. Dilute solutions B. Concentrated solutions C. Gaseous solutions D. Solid solutions Answer: B. Concentrated solutions 20. In electrolyte solutions, why is activity used instead of concentration? A. Ion interactions cause non-ideal behavior B. Concentration changes over time C. The solvent absorbs solute molecules D. The solute dissolves completely Answer: A. Ion interactions cause non-ideal behavior 21. What is fugacity in relation to solute activity? A. Decreases it B. Increases it C. No effect D. Makes it unpredictable Answer: A. Decreases it A. The effective pressure in gaseous systems B. The weight of solute per volume C. The ability of a solute to dissolve D. The freezing point of a solution Answer: A. The effective pressure in gaseous systems 15. Which factor most influences the deviation of activity from concentration in an electrolyte solution? 22. Which factor does NOT affect solute activity? A. The charge of the ions B. The solvent color C. The gas dissolved in the solution D. The stirring speed Answer: A. The charge of the ions 16. How does adding an inert salt affect the activity of an ionic solute? A. Lowers activity by increasing ionic strength B. Increases activity by adding more ions C. Has no effect on activity D. Destroys solute molecules Answer: A. Lowers activity by increasing ionic strength A. Temperature B. Molecular weight C. Ionic strength D. Dielectric constant of solvent Answer: B. Molecular weight 23. Which law is modified to incorporate activity coefficients in equilibrium calculations? A. Raoult’s Law B. Henry’s Law C. Le Chatelier’s Principle D. Mass Action Law Answer: D. Mass Action Law 24. Which type of solute has the most deviation from ideal behavior? 1. What does the Debye-Hückel theory primarily describe? a) The behavior of ideal gases b) The interactions between ions in electrolyte solutions c) The kinetics of chemical reactions d) The structure of covalent compounds Answer: b) The interactions between ions in electrolyte solutions 2. What fundamental concept does the Debye-Hückel theory introduce? a) Ionic strength of a solution b) Van der Waals forces c) Bohr’s atomic model d) None of the above Answer: a) Ionic strength of a solution 3. According to Debye-Hückel theory, what is responsible for deviations from ideal behavior in electrolyte solutions? a) Molecular size of the solvent b) Ion-solvent interactions c) Electrostatic interactions between ions d) Temperature fluctuations Answer: c) Electrostatic interactions between ions 4. The Debye-Hückel limiting law applies best to which type of solution? a) Highly concentrated solutions b) Dilute electrolyte solutions c) Pure solvents d) Solutions containing only non-electrolytes Answer: b) Dilute electrolyte solutions 5. Which of the following is a key assumption of the Debye-Hückel theory? a) Ions behave as point charges b) Ions have fixed positions in solution c) The solvent is an ideal gas d) Electrostatic forces are negligible Answer: a) Ions behave as point charges 6. In the Debye-Hückel equation, what does the term "ionic strength" (I) represent? a) The sum of molar concentrations of all species b) A measure of the average electrostatic effect of ions in solution c) The pH of the solution d) The total pressure exerted by ions Answer: b) A measure of the average electrostatic effect of ions in solution A. Non-electrolyte B. Strong electrolyte C. Weak electrolyte D. Gaseous solute Answer: B. Strong electrolyte 25. What is the activity of a pure solvent? A. 0 B. 1 C. ∞ D. Equal to its concentration Answer: B. 1 26. What is the effect of increasing temperature on the activity coefficient of most solutes? A. Increases B. Decreases C. Stays the same D. Randomly fluctuates Answer: B. Decreases 27. When an electrolyte dissolves, why does its activity coefficient decrease? A. Ion-ion interactions reduce effective concentration B. The solute forms a new phase C. The solute evaporates D. The solvent absorbs the solute Answer: A. Ion-ion interactions reduce effective concentration 28. Which property is NOT influenced by solute activity? A. Vapor pressure B. Surface tension C. Boiling point D. Freezing point Answer: B. Surface tension 29. What happens to solute activity when a strong acid is added to water? A. Increases B. Decreases C. Stays the same D. Depends on the acid concentration Answer: D. Depends on the acid concentration 30. The concept of activity is most useful in which field? A. Thermodynamics B. Quantum mechanics C. Electromagnetism D. Optics Answer: A. Thermodynamics 7. What is the mathematical expression for ionic strength (I)? Answer: b) 8. The Debye-Hückel equation modifies which of the following properties of an electrolyte solution? a) Vapor pressure b) Activity coefficient c) Melting point d) Boiling point Answer: b) Activity coefficient 9. What happens to the activity coefficient of an ion as the ionic strength increases? a) It increases b) It decreases c) It remains constant d) It becomes zero Answer: b) It decreases 10. What is the effect of higher ionic strength on electrostatic interactions between ions? a) Increases interactions b) Decreases interactions c) No effect d) Causes precipitation Answer: b) Decreases interactions 11. The Debye-Hückel theory is most accurate for which type of electrolytes? a) Strong electrolytes in highly concentrated solutions b) Weak electrolytes in concentrated solutions c) Strong electrolytes in dilute solutions d) Non-electrolytes Answer: c) Strong electrolytes in dilute solutions 12. What is the unit of ionic strength (I)? a) Molarity (M) b) Molarity squared (M²) c) Molality (m) d) No units Answer: a) Molarity (M) 13. Which parameter in the Debye-Hückel equation depends on temperature and dielectric constant? a) The Debye length b) The ionic radius c) The charge of ions d) The activity coefficient Answer: a) The Debye length 14. What is the physical significance of the Debye length? a) It represents the distance over which electrostatic interactions persist b) It measures the molar volume of electrolytes c) It determines the speed of ionic diffusion d) It quantifies solubility Answer: a) It represents the distance over which electrostatic interactions persist 15. According to Debye-Hückel theory, the potential around an ion is modified by: a) Other ions in the solution b) Only water molecules c) Van der Waals forces d) Hydrogen bonding Answer: a) Other ions in the solution 16. The Debye-Hückel theory assumes that the solvent acts as a: a) Continuous medium b) Collection of rigid spheres c) Charged lattice d) Neutral buffer Answer: a) Continuous medium 17. What happens to the Debye length as ionic strength increases? a) It increases b) It decreases c) It remains constant d) It fluctuates randomly Answer: b) It decreases 18. What does the activity coefficient approach in an ideal solution? a) 0 b) 1 c) -1 d) Infinity Answer: b) 1 19. Which of the following affects the ionic strength of a solution? a) Concentration of ions b) Charge of ions c) Both a and b d) Neither a nor b Answer: c) Both a and b 20. Which factor does NOT influence the validity of Debye-Hückel theory? a) Solvent dielectric constant b) Concentration of electrolytes c) Temperature d) The color of the solution Answer: d) The color of the solution 21. What is the main limitation of the Debye-Hückel theory? a) It only applies to gases b) It is inaccurate for concentrated solutions c) It ignores charge effects d) It applies only to non-electrolytes Answer: b) It is inaccurate for concentrated solutions 22. Which scientist(s) developed the Debye-Hückel theory? a) Niels Bohr and Albert Einstein b) Peter Debye and Erich Hückel c) Arrhenius and Van't Hoff d) Gibbs and Helmholtz Answer: b) Peter Debye and Erich Hückel 23. Which equation describes the activity coefficient in Debye-Hückel theory? Answer: a) 24. What happens to the activity coefficient when ion charge increases? a) It decreases b) It increases c) It remains the same d) It becomes infinite Answer: a) It decreases Multiple Choice Questions (MCQs) on Colligative Properties, Van’t Hoff Factor, Activity, and Debye-Hückel Theory Colligative Properties 1. Which of the following is not a colligative property? a) Vapor pressure lowering b) Boiling point elevation c) Freezing point depression d) Enthalpy change of solution Answer: d) Enthalpy change of solution 2. The boiling point elevation is directly proportional to: a) The molality of the solute b) The molarity of the solute c) The density of the solvent d) The volume of the solution Answer: a) The molality of the solute 3. When a non-volatile solute is added to a solvent, the vapor pressure of the solution: a) Increases b) Decreases c) Remains the same d) Increases only at high temperatures Answer: b) Decreases 4. Freezing point depression occurs because: a) Solute particles increase the kinetic energy of solvent molecules b) The presence of solute disrupts the formation of a solid lattice c) Solute increases the vapor pressure of the solution d) Solute molecules prevent evaporation Answer: b) The presence of solute disrupts the formation of a solid lattice 5. Which colligative property is the basis for determining the molar mass of an unknown solute? a) Boiling point elevation b) Freezing point depression c) Osmotic pressure d) All of the above Answer: d) All of the above 6. Raoult’s Law states that the vapor pressure of a solution is: a) Equal to the vapor pressure of the pure solvent b) Higher than that of the pure solvent c) Lower than that of the pure solvent d) Unaffected by the solute concentration Answer: c) Lower than that of the pure solvent 7. Which of the following expressions correctly represents osmotic pressure (π\pi)? a) π=iMRT\pi = iMRT b) π=iRT/m\pi = iRT/m c) π=MRT\pi = MRT d) π=PRT/i\pi = PRT/i Answer: a) π=iMRT\pi = iMRT 8. If two solutions have the same osmotic pressure, they are said to be: a) Hypotonic b) Isotonic c) Hypertonic d) Colloidal Answer: b) Isotonic 9. The colligative properties depend on: a) The nature of the solute b) The type of solvent c) The number of solute particles d) The polarity of the solvent Answer: c) The number of solute particles 10. Electrolytes show abnormal colligative properties due to: a) Their ability to dissolve b) Ionization in solution c) High boiling points d) Large molecular sizes Answer: b) Ionization in solution Van’t Hoff Factor 11. Van’t Hoff factor (ii) represents: a) The number of moles of solute in solution b) The ratio of actual particles to expected particles c) The concentration of solvent molecules d) The change in vapor pressure Answer: b) The ratio of actual particles to expected particles 12. The Van’t Hoff factor for a non-electrolyte in solution is: a) 0 b) 1 c) Greater than 1 d) Less than 1 Answer: b) 1 13. What is the Van’t Hoff factor (ii) for NaCl in aqueous solution assuming complete dissociation? a) 1 b) 2 c) 3 d) 4 Answer: b) 2 14. The Van’t Hoff factor for AlCl3\text{AlCl}_3 is: a) 2 b) 3 c) 4 d) 5 Answer: c) 4 15. If a solute undergoes association in solution, the Van’t Hoff factor will be: a) Greater than 1 b) Equal to 1 c) Less than 1 d) Zero Answer: c) Less than 1 Activity and Activity Coefficients 16. Activity is defined as the: a) Effective concentration of a species in solution b) Ratio of solute to solvent c) Molarity of a solution d) Weight of solute in grams Answer: a) Effective concentration of a species in solution 17. The activity coefficient (γ\gamma) approaches 1 when: a) The solution is highly concentrated b) The solution is ideal or very dilute c) The solution has strong intermolecular forces d) The Van’t Hoff factor is large Answer: b) The solution is ideal or very dilute 18. The Debye-Hückel limiting law is used to determine: a) The activity coefficient of ions b) The boiling point of a solution c) The enthalpy of reaction d) The solubility of non-electrolytes Answer: a) The activity coefficient of ions 19. As ionic strength increases, the activity coefficient: a) Increases b) Decreases c) Remains constant d) Becomes zero Answer: b) Decreases 20. The relationship between activity (aa) and concentration (cc) is given by: a) a=γca = \gamma c b) a=c/γa = c/\gamma c) a=cγ2a = c \gamma^2 d) a=γ2/ca = \gamma^2/c Answer: a) a=γca = \gamma c Debye-Hückel Theory 21. The Debye-Hückel Theory explains: a) The colligative properties of strong electrolytes b) The behavior of dilute solutions of strong electrolytes c) The dissociation of weak acids d) The formation of non-ionic solutions Answer: b) The behavior of dilute solutions of strong electrolytes 22. Ionic strength is given by: a) I=0.5∑cizi2I = 0.5 \sum c_i z_i^2 b) I=0.5∑ciziI = 0.5 \sum c_i z_i c) I=∑ciziI = \sum c_i z_i d) I=∑ci2zi2I = \sum c_i^2 z_i^2 Answer: a) I=0.5∑cizi2I = 0.5 \sum c_i z_i^2 23. In Debye-Hückel theory, the charge atmosphere around an ion is: a) Uniform b) Oppositely charged c) Positively charged d) Negatively charged Answer: b) Oppositely charged 24. The Debye length (κ−1\kappa^{-1}) represents: a) The effective distance of electrostatic interactions b) The size of the solute molecule c) The rate of dissolution d) The conductivity of the solution Answer: a) The effective distance of electrostatic interactions 25. The Debye-Hückel equation is most accurate for: a) Concentrated solutions b) Dilute solutions c) All solutions d) None of the above Answer: b) Dilute solutions This covers fundamental concepts from colligative properties to Debye-Hückel theory! Let me know if you need adjustments.