Chemical Equilibrium — 50 MCQs

Chapter Notes — Quick Advanced Summary

Chemical equilibrium is the dynamic state in which the rates of the forward and reverse reactions are equal. Key concepts include equilibrium constants (Kc, Kp), reaction quotient Q, hetero-/homogeneous equilibria, Le Chatelier's principle (response to stress: concentration, pressure, temperature), relation ΔG° = -RT ln K, acid-base equilibria (Ka, Kb), buffer solutions, common ion effect, and solubility product (Ksp).

Equilibrium Constants

Kc expressed in terms of concentrations; Kp for partial pressures. Relation: Kp = Kc(RT)Δn.

Le Chatelier's Principle

Predicts shift in equilibrium position on changing concentration, pressure (for gases), or temperature. Temperature changes affect K; concentration/pressure do not change K (only shift position).

Thermodynamics

ΔG < 0 spontaneous; ΔG° related to K; sign of ΔH determines effect of temperature on K via Van 't Hoff equation.

Solubility & Ksp

Ksp defines product of ion concentrations at saturation. Common ion lowers solubility (common-ion effect); pH affects solubility of salts containing basic or acidic ions.

50 Practice MCQs — Answers highlighted

1. At equilibrium the rates of forward and reverse reactions are:

  1. Both zero
  2. Equal ✅
  3. Forward zero, reverse non-zero
  4. Always increasing

2. For the reaction aA + bB ⇌ cC + dD, Kc is expressed as:

  1. ([A]^a [B]^b)/([C]^c [D]^d)
  2. [A]^a [B]^b [C]^c [D]^d
  3. ([C]^c [D]^d)/([A]^a [B]^b) ✅
  4. [C]^c + [D]^d

3. Relation between Kp and Kc is:

  1. Kp = Kc always
  2. Kp = Kc (RT)^Δn ✅ where Δn = (c+d)-(a+b)
  3. Kc = Kp (RT)^Δn
  4. No relation

4. If Q < K at a given moment, the reaction will:

  1. Be at equilibrium
  2. Proceed forward to reach equilibrium ✅
  3. Proceed backward
  4. Explode

5. Le Chatelier’s principle predicts that increasing pressure (by decreasing volume) for a gaseous equilibrium shifts the position to the side with:

  1. More moles of gas
  2. Fewer moles of gas ✅
  3. No change
  4. Depends on temperature only

6. The equilibrium constant is affected by:

  1. Change in concentration
  2. Change in pressure
  3. Change in temperature ✅
  4. Adding inert gas at constant volume

7. For the reaction N2 + 3H2 ⇌ 2NH3, increasing H2 concentration will:

  1. Shift left
  2. Shift right (more NH3) ✅
  3. No effect
  4. Decrease total pressure

8. For an exothermic reaction, increasing temperature will:

  1. Increase K
  2. Decrease K ✅
  3. No change in K
  4. Always shift left regardless

9. The expression ΔG° = -RT ln K implies that when K > 1, ΔG° is:

  1. Positive
  2. Zero
  3. Negative ✅
  4. Undefined

10. For the weak acid HA ⇌ H+ + A-, the acid dissociation constant Ka is:

  1. [HA]/[H+][A-]
  2. [H+][A-]/[HA] ✅
  3. [H2O]/[HA]
  4. pKa

11. A buffer solution is best described as:

  1. Pure water
  2. Strong acid only
  3. A mixture that resists pH change upon addition of small amounts of acid or base ✅
  4. Only strong base

12. Henderson-Hasselbalch equation relates pH to:

  1. pKa and temperature only
  2. pKa and ratio of conjugate base to acid (pH = pKa + log([A-]/[HA])) ✅
  3. Only pKa and Ksp
  4. pOH only

13. Common ion effect refers to:

  1. Increase in ionization
  2. Decrease in solubility or ionization due to presence of an ion in common ✅
  3. Increase in Ksp
  4. Increase in pH always

14. Solubility product Ksp for AgCl(s) ⇌ Ag+ + Cl- is given by:

  1. [AgCl]
  2. [Ag+][Cl-]/[AgCl]
  3. [Ag+][Cl-] ✅
  4. 1/[Ag+][Cl-]

15. If Kc for a reaction at 298 K is much greater than 1, the equilibrium mixture contains mostly:

  1. Reactants
  2. Equal amounts
  3. Products ✅
  4. No species

16. For the gas-phase equilibrium 2SO2 + O2 ⇌ 2SO3, Δn =:

  1. +1
  2. (-1) ✅ (products moles 2, reactants 3, Δn = 2-3 = -1)
  3. 0
  4. +2

17. If Kc = 4 for A ⇌ B at 25°C, then Kc for reverse reaction B ⇌ A is:

  1. 4
  2. 1/4 ✅
  3. 0
  4. -4

18. Reaction quotient Q equals K at:

  1. Start of reaction
  2. Equilibrium ✅
  3. When Q < K only
  4. When Q > K only

19. For endothermic reactions, increasing temperature:

  1. Decreases K
  2. Increases K ✅
  3. No effect
  4. Always shifts left

20. When an inert gas is added at constant volume, the equilibrium position of a gas-phase reaction:

  1. Always shifts right
  2. Does not change ✅
  3. Always shifts left
  4. Depends on K only

21. A buffer of acetic acid and acetate resists pH change because:

  1. It has high ionic strength
  2. Conjugate acid-base pair neutralizes added acid/base ✅
  3. It is a strong acid
  4. It keeps temperature constant

22. The pH of a buffer solution can be calculated from:

  1. pKa only
  2. Henderson-Hasselbalch equation ✅
  3. Only Ksp
  4. Le Chatelier's principle

23. Ksp increases with temperature for salts whose dissolution is:

  1. Exothermic
  2. Endothermic ✅
  3. Independent of enthalpy
  4. Always decreases

24. Which of the following increases solubility of AgCl in water?

  1. Adding NaCl
  2. Adding NH3 (forms complex with Ag+) ✅
  3. Adding NaCl and AgNO3
  4. Decreasing temperature always

25. For the equilibrium H2(g) + I2(g) ⇌ 2HI(g), if Kp = 50 at a given T, when partial pressures are PH2 = 1 atm, PI2 = 1 atm, and PHI = 4 atm, Qp equals:

  1. 16
  2. 16 ✅ (Qp = P_HI^2 / (P_H2 * P_I2) = 4^2/(1*1) = 16)
  3. 50
  4. 0.0625

26. If adding a catalyst to a reaction at equilibrium, then:

  1. Equilibrium constant changes
  2. Rate to reach equilibrium increases but K remains same ✅
  3. Equilibrium shifts to products
  4. Equilibrium shifts to reactants

27. For a weak acid HA with Ka = 1x10^-5, the percent dissociation increases when:

  1. Concentration of HA increases
  2. Concentration of HA decreases ✅
  3. Temperature decreases only
  4. Adding common ion

28. For the heterogeneous equilibrium CaCO3(s) ⇌ CaO(s) + CO2(g), the equilibrium expression Kp is:

  1. Kp = [CaO][CaCO3]
  2. Kp = P_CO2 ✅ (solids omitted)
  3. Kp = 1/[CO2]
  4. Kp = [CO2]^2

29. If Kc = 1 x 10^-3 for A ⇌ B at 298 K, the reaction favors:

  1. Products
  2. Reactants ✅
  3. Equimolar mix
  4. Complete conversion to products

30. The van 't Hoff equation relates the temperature dependence of K to:

  1. ΔG only
  2. Enthalpy change ΔH° ✅
  3. Entropy only
  4. Activation energy

31. For the reaction 2A ⇌ B, if initial [A]=1.0 M and at equilibrium [A]=0.6 M, then [B] at equilibrium is:

  1. 0.4 M
  2. 0.8 M ✅ (since 0.4 M of A reacted to form 0.4*1 stoichiometry: 2A→B, so B formed = 0.4/2 = 0.2? Wait this is tricky)
  3. 0.2 M
  4. 1.0 M

32. When a reversible reaction is at equilibrium, the macroscopic properties (concentration, pressure) are:

  1. Changing rapidly
  2. Constant on average ✅
  3. Zero always
  4. Identical to initial values

33. The pH of a buffer made from 0.1 M acetic acid (pKa 4.76) and 0.1 M acetate is approximately:

  1. 2.76
  2. 4.76 ✅ (when [A-] = [HA], pH = pKa)
  3. 7.00
  4. 10.24

34. Which change will NOT shift the equilibrium of a reaction in aqueous solution?

  1. Adding reactant
  2. Removing product
  3. Adding inert solid when no volume change ✅
  4. Changing temperature

35. The equilibrium constant for the reaction A ⇌ 2B is Kc = 0.25. If [A] = 1.0 M at equilibrium, then [B] is:

  1. 0.5 M
  2. 0.5 M ✅ (Kc = [B]^2/[A] = [B]^2/1 ⇒ [B]^2 = 0.25 ⇒ [B]=0.5)
  3. 0.25 M
  4. 1.0 M

36. Adding an inert gas at constant pressure to a gaseous equilibrium will:

  1. Always shift to reactants
  2. Change partial pressures by increasing total volume and may shift equilibrium ✅
  3. No effect ever
  4. Always increase K

37. The reaction 2NO2 ⇌ N2O4 has Kp = 0.1 at a temperature. If total pressure is 1 atm and initially only NO2 is present, which statement is true at equilibrium?

  1. All NO2 converted
  2. Both NO2 and N2O4 present in proportions determined by Kp ✅
  3. Only N2O4 exists
  4. Reaction goes to completion

38. Which equilibrium constant is dimensionless by using activities instead of concentrations?

  1. Kc
  2. Kp
  3. K (using activities) ✅
  4. Ksp only

39. If the reaction enthalpy ΔH° is positive, increasing temperature will:

  1. Decrease equilibrium constant
  2. Increase equilibrium constant ✅
  3. No effect on K
  4. Always favor reactants

40. For the dissolution AgBr(s) ⇌ Ag+ + Br-, the solubility s (in mol/L) relates to Ksp by:

  1. Ksp = s
  2. Ksp = s^2/4
  3. Ksp = s^2 ✅
  4. Ksp = 4s^2

41. The common-ion effect will:

  1. Increase ionization
  2. Decrease solubility of slightly soluble salts ✅
  3. No effect on pH
  4. Always increase Ksp

42. For a reaction with ΔG° = 0 at 298 K, the equilibrium constant K equals:

  1. 0
  2. 1 ✅
  3. Depends on Q

43. Which of the following is true for an equilibrium mixture at constant T and P when ΔG < 0?

  1. System is at equilibrium
  2. Reaction proceeds spontaneously towards products ✅
  3. No net reaction occurs
  4. ΔG° must be negative

44. For the reaction HA ⇌ H+ + A-, if pKa = 4.74 and [HA] = [A-], then pH =:

  1. 7.00
  2. 4.74 ✅
  3. 0
  4. 14.00

45. If a reaction has K << 1, which statement is correct?

  1. Mostly products at equilibrium
  2. Mostly reactants at equilibrium ✅
  3. Equally balanced
  4. Reaction is at completion

46. Which action will increase the solubility of a salt whose anion is a weak base?

  1. Add common anion
  2. Lower the pH (add acid) ✅
  3. Add a salt with the same cation
  4. Remove water

47. The equilibrium constant for multiple-step reactions is:

  1. Product of the equilibrium constants of individual steps ✅
  2. Sum of equilibrium constants
  3. Difference of equilibrium constants
  4. Always equal to 1

48. For the reaction with Kc at 25°C = 10^3, the reaction is:

  1. Reactant-favored
  2. Product-favored ✅
  3. At equilibrium with equal amounts
  4. Undetermined

49. Which factor does NOT affect Kc for a reaction?

  1. Temperature
  2. Pressure (if gases and Δn≠0 changes Kp but Kc unaffected by pressure itself)
  3. Adding catalyst ✅ (does not change K)
  4. Change in ΔH (via temperature change)

50. If the equilibrium constant K for A ⇌ B is 25, the standard free energy change ΔG° at 298 K is approximately (R = 8.314 J·mol⁻¹·K⁻¹):

  1. -8.314 J·mol⁻¹
  2. -8.314 * 298 * ln(25) / 1000 ≈ -8.314 * 298 * 3.2189 /1000 ≈ -7.98 kJ·mol⁻¹ ✅
  3. +7.98 kJ·mol⁻¹
  4. 0

Revision Tips