AP Chemistry Quiz: Reaction Quotient And Le Chateliers Principle
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Reaction Quotient And Le Chateliers PrincipleQuestion 1 of 20

In a sealed flask at constant temperature, the equilibrium 2NO(g)+O2(g)2NO2(g)\mathrm{2NO(g) + O_2(g) \rightleftharpoons 2NO_2(g)} has Kp=6.0×101K_p = 6.0\times10^1. The system is initially at equilibrium. A small amount of O2(g)\mathrm{O_2(g)} is removed, and immediately afterward QpQ_p is found to be 9.0×1019.0\times10^1. As equilibrium is reestablished, what shift occurs?

Shift toward products (net formation of NO2\mathrm{NO_2})
No net shift because removing O2\mathrm{O_2} lowers both QpQ_p and KpK_p equally
Shift toward reactants (net formation of NO\mathrm{NO} and O2\mathrm{O_2})
Shift toward products because removing a reactant makes Qp<KpQ_p < K_p
No net shift because the system was initially at equilibrium
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AP Chemistry Quiz

AP Chemistry Quiz: Reaction Quotient And Le Chateliers Principle

Practice Reaction Quotient And Le Chateliers Principle in AP Chemistry with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Reaction Quotient And Le Chateliers Principle, giving you a quick way to practice the rules, question types, and explanations that matter most for AP Chemistry.

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Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

In a sealed flask at constant temperature, the equilibrium 2NO(g)+O2(g)2NO2(g)\mathrm{2NO(g) + O_2(g) \rightleftharpoons 2NO_2(g)} has Kp=6.0×101K_p = 6.0\times10^1. The system is initially at equilibrium. A small amount of O2(g)\mathrm{O_2(g)} is removed, and immediately afterward QpQ_p is found to be 9.0×1019.0\times10^1. As equilibrium is reestablished, what shift occurs?

  1. Shift toward products (net formation of NO2\mathrm{NO_2})
  2. No net shift because removing O2\mathrm{O_2} lowers both QpQ_p and KpK_p equally
  3. Shift toward reactants (net formation of NO\mathrm{NO} and O2\mathrm{O_2}) (correct answer)
  4. Shift toward products because removing a reactant makes Qp<KpQ_p < K_p
  5. No net shift because the system was initially at equilibrium

Explanation: This question tests reaction quotient and Le Châtelier's principle. Removing O2, a reactant, decreases its partial pressure, which makes the denominator smaller in Qp, resulting in Qp = 9.0×10^1, greater than Kp of 6.0×10^1. Since Qp > Kp, the system shifts toward the reactants to decrease Qp by forming more NO and O2. This net shift left consumes NO2 to reestablish equilibrium. A common misconception is that removing a reactant makes Qp < Kp and shifts toward products (choice E), but it actually increases Qp, prompting a reverse shift. To predict equilibrium shifts, identify how the stress affects Q, then predict the shift that drives Q back toward K.

Question 2

A sealed rigid container at constant temperature contains the system at equilibrium: N2O4(g)2NO2(g)\text{N}_2\text{O}_4(g) \rightleftharpoons 2\text{NO}_2(g) with Kc=0.50K_c = 0.50. At equilibrium, the concentrations are [N2O4]=0.40M[\text{N}_2\text{O}_4]=0.40\,\text{M} and [NO2]=0.45M[\text{NO}_2]=0.45\,\text{M}. A small amount of NO2(g)\text{NO}_2(g) is suddenly removed so that immediately after the stress [NO2]=0.30M[\text{NO}_2]=0.30\,\text{M} while [N2O4][\text{N}_2\text{O}_4] is unchanged at that instant. Based on comparing QcQ_c to KcK_c, how will the system respond to reestablish equilibrium?

  1. Shift toward reactants (left)
  2. No net shift
  3. Shift toward products (right) (correct answer)
  4. The reaction stops because equilibrium was disrupted
  5. Shift toward reactants (left) because a product was removed, making Qc>KcQ_c>K_c

Explanation: This question tests understanding of reaction quotient and Le Châtelier's principle. When NO₂ is removed from the equilibrium system, we calculate Qc=[NO2]2/[N2O4]=(0.30)2/(0.40)=0.225Q_c = [\text{NO}_2]^2 / [\text{N}_2\text{O}_4] = (0.30)^2 / (0.40) = 0.225, which is less than Kc=0.50K_c = 0.50. Since Qc<KcQ_c < K_c, the system must shift toward products (right) to increase QcQ_c back to KcK_c, producing more NO₂ to replace what was removed. Choice E incorrectly states that Qc>KcQ_c > K_c when a product is removed, which is backwards—removing products always makes Q<KQ < K. The key strategy is to calculate QQ after the stress, compare it to KK, then predict the shift: if Q<KQ < K, shift right; if Q>KQ > K, shift left.

Question 3

At constant temperature, the following reaction is at equilibrium in a closed container: CaCO3(s)CaO(s)+CO2(g)\text{CaCO}_3(s) \rightleftharpoons \text{CaO}(s)+\text{CO}_2(g) with Kp=0.80K_p=0.80. A stress is applied by adding CO2(g)\text{CO}_2(g) so that immediately after the stress PCO2=1.6atmP_{\text{CO}_2}=1.6\,\text{atm}. (Assume both solids remain present.) Based on comparing QpQ_p and KpK_p, how will the system respond to reestablish equilibrium?

  1. Shift toward products (right)
  2. Shift toward reactants (left) (correct answer)
  3. No net shift
  4. The reaction stops because solids make QpQ_p constant
  5. Shift toward products (right) because adding gas increases pressure

Explanation: This question tests understanding of reaction quotient and Le Châtelier's principle. For this heterogeneous equilibrium, solids don't appear in the equilibrium expression, so Q_p = P_CO₂ = 1.6 atm, which is greater than K_p = 0.80 atm. Since Q_p > K_p, the system must shift toward reactants (left) to decrease the CO₂ pressure back to equilibrium, converting some CO₂ back into CaCO₃. Choice D incorrectly claims that solids make Q_p constant—solids are omitted from Q and K expressions, but Q still varies with gas pressures. The key insight is that for heterogeneous equilibria, only gases and aqueous species appear in Q and K expressions.

Question 4

A sealed container at constant temperature contains the equilibrium system N2O4(g)2NO2(g)\mathrm{N_2O_4(g) \rightleftharpoons 2NO_2(g)}. The system is initially at equilibrium with Kc=0.20K_c = 0.20. A small amount of NO2(g)\mathrm{NO_2(g)} is then injected, and immediately after the injection the reaction quotient is Qc=0.80Q_c = 0.80. As the system reestablishes equilibrium, how will it shift?

  1. Shift toward reactants (left) (correct answer)
  2. No net shift
  3. Shift toward products (right)
  4. Shift toward products (right)
  5. No net shift

Explanation: This question tests the skill of reaction quotient and Le Châtelier's principle. Injecting NO2, a product, increases its concentration, causing the reaction quotient Qc=[NO2]2[N2O4]Q_c = \frac{[\mathrm{NO_2}]^2}{[\mathrm{N_2O_4}]} to become greater than KcK_c. Since Qc>KcQ_c > K_c, the system will shift to reduce QcQ_c by favoring the reverse reaction, which consumes NO2 and produces N2O4. This net shift toward reactants restores equilibrium by driving QcQ_c back to KcK_c. A common misconception is that adding any substance always shifts the equilibrium to the right, but it actually depends on whether the added species is a reactant or product and its impact on Q. Always identify how the stress affects Q compared to K, then predict the shift that drives Q back toward K.

Question 5

In a closed container at constant temperature, the following system is initially at equilibrium: CO(g)+H2O(g)CO2(g)+H2(g)\text{CO}(g)+\text{H}_2\text{O}(g) \rightleftharpoons \text{CO}_2(g)+\text{H}_2(g) with Kc=1.0K_c=1.0. A stress is applied by adding H2(g)\text{H}_2(g), and immediately after the addition the concentrations are [CO]=0.30M[\text{CO}]=0.30\,\text{M}, [H2O]=0.30M[\text{H}_2\text{O}]=0.30\,\text{M}, [CO2]=0.30M[\text{CO}_2]=0.30\,\text{M}, and [H2]=0.60M[\text{H}_2]=0.60\,\text{M}. Based on QcQ_c versus KcK_c, how will the system respond to reestablish equilibrium?

  1. Shift toward products (right)
  2. Shift toward reactants (left) (correct answer)
  3. No net shift
  4. The reaction stops because adding H2\text{H}_2 makes KcK_c change
  5. Shift toward products (right) because a product was added

Explanation: This question tests understanding of reaction quotient and Le Châtelier's principle. When H₂ is added to the equilibrium system, we calculate Qc=[CO2][H2][CO][H2O]=0.30×0.600.30×0.30=2.0Q_c = \frac{[\text{CO}_2][\text{H}_2]}{[\text{CO}][\text{H}_2\text{O}]} = \frac{0.30 \times 0.60}{0.30 \times 0.30} = 2.0, which is greater than Kc=1.0K_c = 1.0. Since Qc>KcQ_c > K_c, the system must shift toward reactants (left) to decrease QcQ_c back to KcK_c, consuming the excess H₂ that was added. Choice D incorrectly claims that KcK_c changes when a substance is added—KcK_c only changes with temperature, not concentration changes. The key strategy is to calculate Q after any stress and compare to K: when Q>KQ > K, the system shifts left to decrease Q back to K.

Question 6

A closed vessel at constant temperature contains an equilibrium mixture for CO(g)+H2O(g)CO2(g)+H2(g)\mathrm{CO(g) + H_2O(g) \rightleftharpoons CO_2(g) + H_2(g)}, where K=1.0K = 1.0. A sample of CO(g)\mathrm{CO(g)} is added, and immediately afterward the reaction quotient is determined to be Q=0.40Q = 0.40. As the system returns to equilibrium, which change occurs?

  1. The system shifts toward reactants (forms more CO\mathrm{CO} and H2O\mathrm{H_2O}).
  2. The system shifts toward products (forms more CO2\mathrm{CO_2} and H2\mathrm{H_2}). (correct answer)
  3. There is no net shift because K=1.0K = 1.0.
  4. There is no net shift because adding a reactant does not change QQ.
  5. The system shifts toward reactants because adding reactant always makes Q>KQ > K.

Explanation: This question tests your understanding of reaction quotient and Le Châtelier's principle. When CO is added to the equilibrium system, the concentration of reactants increases, which decreases Q (since [CO] appears in the denominator of the Q expression). With Q = 0.40 and K = 1.0, we have Q < K, meaning there's too little product relative to equilibrium. To reestablish equilibrium, the system must shift to increase Q back to 1.0, which occurs by converting more CO and H₂O into CO₂ and H₂ (shift toward products). A common misconception (choice D) is that adding a reactant doesn't change Q, but adding reactant decreases Q since reactants appear in the denominator. When Q < K, always predict a shift toward products to increase Q back to K.

Question 7

A rigid container holds an equilibrium mixture for H2(g)+I2(g)2HI(g)\mathrm{H_2(g) + I_2(g) \rightleftharpoons 2HI(g)} at constant temperature. For this system, K=50K = 50. Some HI(g)\mathrm{HI(g)} is removed, and immediately afterward the reaction quotient is found to be Q=20Q = 20. As equilibrium is reestablished, what will the system do?

  1. The system shifts toward reactants (forms more H2\mathrm{H_2} and I2\mathrm{I_2}).
  2. The system shifts toward products (forms more HI\mathrm{HI}). (correct answer)
  3. There is no net shift because removing a product decreases KK.
  4. There is no net shift because QQ is always equal to KK after a disturbance.
  5. The system shifts toward reactants because removing a product always makes Q>KQ > K.

Explanation: This question tests your understanding of reaction quotient and Le Châtelier's principle. When HI is removed from the equilibrium system, the concentration of products decreases, which decreases Q (since [HI]² appears in the numerator). With Q = 20 and K = 50, we have Q < K, meaning there's too little product relative to equilibrium. To reestablish equilibrium, the system must shift to increase Q back to 50, which occurs by converting more H₂ and I₂ into HI (shift toward products). A common misconception (choice E) is that removing product makes Q > K, but removing product actually decreases Q since products appear in the numerator. When Q < K, always predict a shift toward products to increase Q back to K.

Question 8

A mixture of gases in a rigid container is at equilibrium for the reaction H2(g)+I2(g)2HI(g)\mathrm{H_2(g) + I_2(g) \rightleftharpoons 2HI(g)}. At this temperature, Kc=50K_c = 50. Some HI(g)\mathrm{HI(g)} is removed, and immediately afterward Qc=8Q_c = 8. As the system returns to equilibrium, what net shift will occur?

  1. No net shift
  2. Shift toward reactants (left)
  3. Shift toward products (right)
  4. No net shift
  5. Shift toward products (right) (correct answer)

Explanation: This question tests the skill of reaction quotient and Le Châtelier's principle. Removing HI, a product, decreases its concentration, causing the reaction quotient Qc=[HI]2[H2][I2]Q_c = \frac{[\mathrm{HI}]^2}{[\mathrm{H_2}][\mathrm{I_2}]} to become less than KcK_c. Since Qc<KcQ_c < K_c, the system will shift to increase QcQ_c by favoring the forward reaction, which produces more HI. This net shift toward products restores equilibrium by driving QcQ_c back to KcK_c. A common misconception is that removing a product causes a shift to the left, but actually, it shifts right to replace the removed species. Always identify how the stress affects QQ compared to KK, then predict the shift that drives QQ back toward KK.

Question 9

In a closed flask at constant temperature, the system is initially at equilibrium for CO(g)+H2O(g)CO2(g)+H2(g)\mathrm{CO(g) + H_2O(g) \rightleftharpoons CO_2(g) + H_2(g)}. At this temperature, Kc=1.6K_c = 1.6. A small amount of CO2(g)\mathrm{CO_2(g)} is added, and immediately after the addition the reaction quotient is Qc=4.0Q_c = 4.0. Which shift will occur as equilibrium is reestablished?

  1. Shift toward products (right)
  2. Shift toward reactants (left) (correct answer)
  3. No net shift
  4. Shift toward products (right)
  5. No net shift

Explanation: This question tests the skill of reaction quotient and Le Châtelier's principle. Adding CO2, a product, increases its concentration, causing the reaction quotient Qc=[CO2][H2][CO][H2O]Q_c = \frac{[\mathrm{CO_2}][\mathrm{H_2}]}{[\mathrm{CO}][\mathrm{H_2O}]} to become greater than KcK_c. Since Qc>KcQ_c > K_c, the system will shift to reduce QcQ_c by favoring the reverse reaction, which consumes CO2 and H2 to produce CO and H2O. This net shift toward reactants restores equilibrium by driving QcQ_c back to KcK_c. A common misconception is that adding a product always causes no shift, but it actually perturbs QQ and triggers a shift to rebalance. Always identify how the stress affects QQ compared to KK, then predict the shift that drives QQ back toward KK.

Question 10

A reaction mixture is at equilibrium for CH3COOH(aq)H+(aq)+CH3COO(aq)\mathrm{CH_3COOH(aq) \rightleftharpoons H^+(aq) + CH_3COO^-(aq)}. At this temperature, Kc=1.8×105K_c = 1.8\times 10^{-5}. A small amount of CH3COO(aq)\mathrm{CH_3COO^- (aq)} is added, and immediately afterward Qc=9.0×105Q_c = 9.0\times 10^{-5}. As the system returns to equilibrium, what net shift will occur?

  1. Shift toward products (right)
  2. Shift toward reactants (left) (correct answer)
  3. No net shift
  4. Shift toward products (right)
  5. No net shift

Explanation: This question tests the skill of reaction quotient and Le Châtelier's principle. Adding CH3COO\mathrm{CH_3COO^-}, a product, increases its concentration, causing the reaction quotient Qc=[H+][CH3COO][CH3COOH]Q_c = \frac{[\mathrm{H^+}][\mathrm{CH_3COO^-}]}{[\mathrm{CH_3COOH}]} to become greater than KcK_c. Since Qc>KcQ_c > K_c, the system will shift to reduce QcQ_c by favoring the reverse reaction, which consumes H+\mathrm{H^+} and CH3COO\mathrm{CH_3COO^-} to produce CH3COOH\mathrm{CH_3COOH}. This net shift toward reactants restores equilibrium by driving QcQ_c back to KcK_c. A common misconception is that adding a common ion has no effect on weak acid equilibrium, but it actually suppresses dissociation via Le Châtelier's principle. Always identify how the stress affects QQ compared to KK, then predict the shift that drives QQ back toward KK.

Question 11

A reaction mixture is at equilibrium for 2SO2(g)+O2(g)2SO3(g).\mathrm{2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)}. At this temperature, Kp=3.0×102K_p = 3.0\times 10^2. Some O2(g)\mathrm{O_2(g)} is removed, and immediately afterward Qp=7.5×102Q_p = 7.5\times 10^2. As the system reestablishes equilibrium, how will it shift?

  1. Shift toward reactants (left) (correct answer)
  2. Shift toward reactants (left)
  3. Shift toward products (right)
  4. No net shift
  5. No net shift

Explanation: This question tests the skill of reaction quotient and Le Châtelier's principle. Removing O2, a reactant, decreases its partial pressure, causing the reaction quotient Qp=[SO3]2/([SO2]2[O2])Q_p = [SO3]^2 / ([SO2]^2 [O2]) to become greater than KpK_p since the denominator decreases. Since Qp>KpQ_p > K_p, the system will shift to reduce QpQ_p by favoring the reverse reaction, which produces more SO2 and O2 while consuming SO3. This net shift toward reactants restores equilibrium by driving QpQ_p back to KpK_p. A common misconception is that removing a reactant shifts the equilibrium to the right to 'replace' it, but it actually shifts left to produce more of the removed species. Always identify how the stress affects Q compared to K, then predict the shift that drives Q back toward K.

Question 12

At constant temperature, a sealed container holds the equilibrium H2(g)+CO2(g)H2O(g)+CO(g)\mathrm{H_2(g) + CO_2(g) \rightleftharpoons H_2O(g) + CO(g)} with Kc=0.50K_c = 0.50. The system is initially at equilibrium. A small amount of CO(g)\mathrm{CO(g)} is added, and immediately afterward the reaction quotient is Qc=0.80Q_c = 0.80. As equilibrium is reestablished, how will the system shift?

  1. No net shift because QcQ_c is close to KcK_c
  2. No net shift because adding a product changes QcQ_c but not the direction
  3. Shift toward products (net formation of H2O\mathrm{H_2O} and CO\mathrm{CO})
  4. Shift toward reactants (net formation of H2\mathrm{H_2} and CO2\mathrm{CO_2}) (correct answer)
  5. Shift toward products because adding CO\mathrm{CO} makes Qc<KcQ_c < K_c

Explanation: This question tests reaction quotient and Le Châtelier's principle. Adding CO, a product, increases its concentration, which raises the numerator in Qc, resulting in Qc = 0.80, greater than Kc of 0.50. Since Qc > Kc, the system shifts toward the reactants to decrease Qc by forming more H2 and CO2. This net shift left consumes H2O and CO to reestablish equilibrium. A common misconception is that adding a product makes Qc < Kc and shifts toward products (choice E), but it actually increases Qc above Kc, prompting a reverse shift. To predict equilibrium shifts, identify how the stress affects Q, then predict the shift that drives Q back toward K.

Question 13

A closed container at constant temperature contains the equilibrium system 2SO2(g)+O2(g)2SO3(g)2\text{SO}_2(g)+\text{O}_2(g) \rightleftharpoons 2\text{SO}_3(g) with Kp=4.0K_p=4.0. A stress is applied by removing some SO3(g)\text{SO}_3(g). Immediately after the stress, the partial pressures are PSO2=0.50atmP_{\text{SO}_2}=0.50\,\text{atm}, PO2=0.50atmP_{\text{O}_2}=0.50\,\text{atm}, and PSO3=0.40atmP_{\text{SO}_3}=0.40\,\text{atm}. Using QpQ_p compared with KpK_p, which direction will the system shift to reestablish equilibrium?

  1. No net shift
  2. Shift toward reactants (left) because removing product makes Qp>KpQ_p>K_p
  3. Shift toward products (right) (correct answer)
  4. The reaction stops because a product was removed
  5. Shift toward reactants (left)

Explanation: This question tests understanding of reaction quotient and Le Châtelier's principle. After SO₃ is removed, we calculate Qp=(PSO3)2(PSO2)2×PO2=(0.40)2(0.50)2×0.50=1.28Q_p = \frac{(P_{\text{SO}_3})^2}{(P_{\text{SO}_2})^2 \times P_{\text{O}_2}} = \frac{(0.40)^2}{(0.50)^2 \times 0.50} = 1.28, which is less than Kp=4.0K_p = 4.0. Since Qp<KpQ_p < K_p, the system must shift toward products (right) to increase QpQ_p back to KpK_p, producing more SO₃ to replace what was removed. Choice E incorrectly states that removing product makes Qp>KpQ_p > K_p, which is backwards—removing products always decreases Q, making Q < K. The strategy is to calculate Q immediately after the stress: when products are removed, Q decreases below K, so the system shifts right to restore equilibrium.

Question 14

A container at constant temperature contains the system at equilibrium: Fe3+(aq)+SCN(aq)FeSCN2+(aq)\text{Fe}^{3+}(aq)+\text{SCN}^-(aq) \rightleftharpoons \text{FeSCN}^{2+}(aq) with Kc=100K_c=100. A stress is applied by adding FeSCN2+(aq)\text{FeSCN}^{2+}(aq). Immediately after the addition, the concentrations are [Fe3+]=0.10M[\text{Fe}^{3+}]=0.10\,\text{M}, [SCN]=0.10M[\text{SCN}^-]=0.10\,\text{M}, and [FeSCN2+]=2.0M[\text{FeSCN}^{2+}]=2.0\,\text{M}. Based on QcQ_c compared with KcK_c, how will the system respond to reestablish equilibrium?

  1. Shift toward products (right)
  2. Shift toward reactants (left) (correct answer)
  3. No net shift
  4. The reaction stops because adding product consumes reactants instantly
  5. Shift toward products (right) because a product was added

Explanation: This question tests understanding of reaction quotient and Le Châtelier's principle. After FeSCN2+\text{FeSCN}^{2+} is added, we calculate Qc=[FeSCN2+][Fe3+][SCN]=2.00.10×0.10=200Q_c = \frac{[\text{FeSCN}^{2+}]}{[\text{Fe}^{3+}][\text{SCN}^{-}]} = \frac{2.0}{0.10 \times 0.10} = 200, which is greater than Kc=100K_c = 100. Since Qc>KcQ_c > K_c, the system must shift toward reactants (left) to decrease QcQ_c back to KcK_c, converting some of the added FeSCN2+\text{FeSCN}^{2+} back into Fe3+\text{Fe}^{3+} and SCN\text{SCN}^{-}. Choice E incorrectly suggests shifting right because a product was added—the shift direction depends on Q vs K comparison, not simply what was added. The key principle is that adding products increases Q above K, requiring a leftward shift to restore equilibrium.

Question 15

The equilibrium CaCO3(s)CaO(s)+CO2(g)\text{CaCO}_3(s)\rightleftharpoons \text{CaO}(s)+\text{CO}_2(g) has Kp=0.10K_p=0.10 at a certain temperature. The system is initially at equilibrium in a sealed container. A small amount of CO2(g)\text{CO}_2(g) is added, and immediately afterward the measured partial pressure is PCO2=0.50atmP_{\text{CO}_2}=0.50\,\text{atm}. Using QpQ_p versus KpK_p, how will the system shift to reestablish equilibrium?

  1. No net shift; solids force QpQ_p to equal KpK_p
  2. Shift toward products (right)
  3. No net shift; adding CO2\text{CO}_2 does not affect QpQ_p
  4. Shift toward products (right)
  5. Shift toward reactants (left) (correct answer)

Explanation: This question tests your understanding of reaction quotient and Le Châtelier's principle. For the heterogeneous equilibrium CaCO₃(s) ⇌ CaO(s) + CO₂(g), solids don't appear in the equilibrium expression, so Q_p = P_CO₂ = 0.50 atm. Since Q_p (0.50) > K_p (0.10), the system has too much product (CO₂) relative to equilibrium, so it must shift toward reactants (left) to decrease the CO₂ pressure back to K_p. A common misconception is that solids "buffer" the system or that adding CO₂ has no effect, but for heterogeneous equilibria, Q still depends on gas pressures only. To solve equilibrium shift problems: calculate Q (using only gases/aqueous species), compare it to K, then predict the shift that drives Q back toward K (if Q > K, shift left; if Q < K, shift right).

Question 16

At 25C25^\circ\text{C}, the reaction N2O4(g)2NO2(g)\text{N}_2\text{O}_4(g) \rightleftharpoons 2\text{NO}_2(g) is at equilibrium in a rigid container, and Kc=0.20K_c = 0.20. A small amount of NO2(g)\text{NO}_2(g) is injected, and immediately afterward the measured concentrations are [NO2]=0.60M[\text{NO}_2]=0.60\,\text{M} and [N2O4]=0.50M[\text{N}_2\text{O}_4]=0.50\,\text{M}. Based on comparing QcQ_c to KcK_c, how will the system respond to reestablish equilibrium?

  1. Shift toward reactants (left) (correct answer)
  2. Shift toward products (right)
  3. No net shift; the system is already at equilibrium
  4. Shift toward products (right)
  5. No net shift; concentrations will remain fixed after the injection

Explanation: This question tests your understanding of reaction quotient and Le Châtelier's principle. For the reaction N₂O₄(g) ⇌ 2NO₂(g), we calculate Q_c = [NO₂]²/[N₂O₄] = (0.60)²/(0.50) = 0.72. Since Q_c (0.72) > K_c (0.20), the system has too much product relative to equilibrium, so it must shift toward reactants (left) to decrease Q_c back to K_c. A common misconception is thinking that adding NO₂ always drives the reaction right because "adding reactant shifts right," but NO₂ is a product here, not a reactant. To solve equilibrium shift problems: calculate Q, compare it to K, then predict the shift that drives Q back toward K (if Q > K, shift left; if Q < K, shift right).

Question 17

A container holds the equilibrium 2NO(g)+Cl2(g)2NOCl(g)2\text{NO}(g)+\text{Cl}_2(g)\rightleftharpoons 2\text{NOCl}(g) at a temperature where Kp=10K_p=10. The system is initially at equilibrium. A small amount of NOCl(g)\text{NOCl}(g) is removed. Immediately afterward, the partial pressures are PNO=1.0atmP_{\text{NO}}=1.0\,\text{atm}, PCl2=1.0atmP_{\text{Cl}_2}=1.0\,\text{atm}, and PNOCl=2.0atmP_{\text{NOCl}}=2.0\,\text{atm}. Using QpQ_p versus KpK_p, how will the system shift to reestablish equilibrium?

  1. No net shift; removing a product does not affect QpQ_p
  2. Shift toward reactants (left)
  3. Shift toward products (right) (correct answer)
  4. No net shift; QpQ_p equals KpK_p after the removal
  5. Shift toward reactants (left)

Explanation: This question tests your understanding of reaction quotient and Le Châtelier's principle. For the reaction 2NO(g) + Cl₂(g) ⇌ 2NOCl(g), we calculate Q_p = (P_NOCl)²/((P_NO)²(P_Cl₂)) = (2.0)²/((1.0)²(1.0)) = 4.0. Since Q_p (4.0) < K_p (10), the system has too little product relative to equilibrium, so it must shift toward products (right) to increase Q_p up to K_p. A common misconception is that removing a product always shifts left to "oppose the removal," but removing NOCl decreases Q below K, requiring a right shift to restore equilibrium. To solve equilibrium shift problems: calculate Q, compare it to K, then predict the shift that drives Q back toward K (if Q > K, shift left; if Q < K, shift right).

Question 18

At constant temperature, a closed container contains the equilibrium system CH3COOH(aq)H+(aq)+CH3COO(aq)\text{CH}_3\text{COOH}(aq) \rightleftharpoons \text{H}^+(aq)+\text{CH}_3\text{COO}^-(aq) with Kc=1.8×105K_c=1.8\times 10^{-5}. A stress is applied by adding CH3COO(aq)\text{CH}_3\text{COO}^-(aq) (from a soluble salt). Immediately after the addition, the concentrations are [CH3COOH]=0.10M[\text{CH}_3\text{COOH}]=0.10\,\text{M}, [H+]=1.8×103M[\text{H}^+]=1.8\times 10^{-3}\,\text{M}, and [CH3COO]=0.20M[\text{CH}_3\text{COO}^-]=0.20\,\text{M}. Using QcQ_c compared with KcK_c, which direction will the system shift to reestablish equilibrium?

  1. The reaction stops because aqueous equilibria do not shift
  2. Shift toward products (right) because adding CH3COO\text{CH}_3\text{COO}^- increases KcK_c
  3. Shift toward reactants (left) (correct answer)
  4. Shift toward products (right)
  5. No net shift

Explanation: This question tests understanding of reaction quotient and Le Châtelier's principle. After CH₃COO⁻ is added, we calculate Qc=[H+][CH3COO][CH3COOH]=(1.8×103×0.20)0.10=3.6×103Q_c = \frac{[\mathrm{H}^{+}][\mathrm{CH}_3\mathrm{COO}^{-}]}{[\mathrm{CH}_3\mathrm{COOH}]} = \frac{(1.8 \times 10^{-3} \times 0.20)}{0.10} = 3.6 \times 10^{-3}, which is greater than Kc=1.8×105K_c = 1.8 \times 10^{-5}. Since Qc>KcQ_c > K_c, the system must shift toward reactants (left) to decrease QcQ_c back to KcK_c, converting some H⁺ and CH₃COO⁻ back into CH₃COOH. Choice E incorrectly claims that adding a substance changes KcK_c—equilibrium constants only change with temperature, not concentration. The strategy is to calculate QQ after the stress: when products are added, QQ increases above KK, requiring a leftward shift to decrease QQ.

Question 19

A sealed container at constant temperature contains the equilibrium Fe3+(aq)+SCN(aq)FeSCN2+(aq)\mathrm{Fe^{3+}(aq) + SCN^-(aq) \rightleftharpoons FeSCN^{2+}(aq)} with Kc=100K_c = 100. The system is initially at equilibrium. A small amount of Fe3+\mathrm{Fe^{3+}} is added, and immediately afterward the reaction quotient is determined to be Qc=40Q_c = 40. As the system returns to equilibrium, how will it shift?

  1. Shift toward reactants (net formation of Fe3+\mathrm{Fe^{3+}} and SCN\mathrm{SCN^-})
  2. Shift toward products (net formation of FeSCN2+\mathrm{FeSCN^{2+}}) (correct answer)
  3. No net shift because adding a reactant does not change QcQ_c
  4. No net shift because QcQ_c is not compared to KcK_c for aqueous equilibria
  5. Shift toward reactants because adding Fe3+\mathrm{Fe^{3+}} makes QcQ_c larger than KcK_c

Explanation: This question tests reaction quotient and Le Châtelier's principle. Adding Fe3+\mathrm{Fe^{3+}}, a reactant, increases its concentration, which raises the denominator in QcQ_c, resulting in Qc=40Q_c = 40, less than KcK_c of 100. Since Qc<KcQ_c < K_c, the system shifts toward the products to increase QcQ_c by forming more FeSCN2+\mathrm{FeSCN^{2+}}. This net shift right consumes Fe3+\mathrm{Fe^{3+}} and SCN\mathrm{SCN^{-}} to reestablish equilibrium. A common misconception is that adding a reactant makes QcQ_c larger than KcK_c and shifts toward reactants (choice E), but it actually decreases QcQ_c, prompting a forward shift. To predict equilibrium shifts, identify how the stress affects QQ, then predict the shift that drives QQ back toward KK.

Question 20

A closed container is initially at equilibrium for 2NO(g)+O2(g)2NO2(g)\mathrm{2NO(g) + O_2(g) \rightleftharpoons 2NO_2(g)}. At this temperature, Kp=6.0K_p = 6.0. Some NO2(g)\mathrm{NO_2(g)} is removed, and immediately after the removal Qp=0.50Q_p = 0.50. As equilibrium is reestablished, how will the system shift?

  1. No net shift
  2. Shift toward reactants (left)
  3. No net shift
  4. Shift toward products (right) (correct answer)
  5. Shift toward reactants (left)

Explanation: This question tests the skill of reaction quotient and Le Châtelier's principle. Removing NO2, a product, decreases its partial pressure, causing the reaction quotient Qp=[NO2]2[NO]2[O2]Q_p = \frac{[\mathrm{NO_2}]^2}{[\mathrm{NO}]^2 [\mathrm{O_2}]} to become less than KpK_p since the numerator decreases. Since Qp<KpQ_p < K_p, the system will shift to increase QpQ_p by favoring the forward reaction, which produces more NO2. This net shift toward products restores equilibrium by driving QpQ_p back to KpK_p. A common misconception is that removing a product causes a shift left, but it actually shifts right to replace it. Always identify how the stress affects QQ compared to KK, then predict the shift that drives QQ back toward KK.