Reaction Quotient and Le Chatelier's Principle
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AP Chemistry › Reaction Quotient and Le Chatelier's Principle
A mixture of gases in a rigid container is at equilibrium for the reaction $$\mathrm{H_2(g) + I_2(g) \rightleftharpoons 2HI(g)}$$. At this temperature, $K_c = 50$. Some $\mathrm{HI(g)}$ is removed, and immediately afterward $Q_c = 8$. As the system returns to equilibrium, what net shift will occur?
No net shift
Shift toward products (right)
Shift toward products (right)
No net shift
Shift toward reactants (left)
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 $Q_c = \frac{[\mathrm{HI}]^2}{[\mathrm{H_2}][\mathrm{I_2}]}$ to become less than $K_c$. Since $Q_c < K_c$, the system will shift to increase $Q_c$ by favoring the forward reaction, which produces more HI. This net shift toward products restores equilibrium by driving $Q_c$ back to $K_c$. 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 $Q$ compared to $K$, then predict the shift that drives $Q$ back toward $K$.
In a closed flask at constant temperature, the system is initially at equilibrium for $$\mathrm{CO(g) + H_2O(g) \rightleftharpoons CO_2(g) + H_2(g)}$$. At this temperature, $K_c = 1.6$. A small amount of $\mathrm{CO_2(g)}$ is added, and immediately after the addition the reaction quotient is $Q_c = 4.0$. Which shift will occur as equilibrium is reestablished?
No net shift
No net shift
Shift toward products (right)
Shift toward products (right)
Shift toward reactants (left)
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 $Q_c = \frac{[\mathrm{CO_2}][\mathrm{H_2}]}{[\mathrm{CO}][\mathrm{H_2O}]}$ to become greater than $K_c$. Since $Q_c > K_c$, the system will shift to reduce $Q_c$ by favoring the reverse reaction, which consumes CO2 and H2 to produce CO and H2O. This net shift toward reactants restores equilibrium by driving $Q_c$ back to $K_c$. A common misconception is that adding a product always causes no shift, but it actually perturbs $Q$ and triggers a shift to rebalance. Always identify how the stress affects $Q$ compared to $K$, then predict the shift that drives $Q$ back toward $K$.
A reaction mixture is at equilibrium for $$\mathrm{CH_3COOH(aq) \rightleftharpoons H^+(aq) + CH_3COO^-(aq)}$$. At this temperature, $K_c = 1.8\times 10^{-5}$. A small amount of $\mathrm{CH_3COO^- (aq)}$ is added, and immediately afterward $Q_c = 9.0\times 10^{-5}$. As the system returns to equilibrium, what net shift will occur?
Shift toward products (right)
No net shift
Shift toward reactants (left)
Shift toward products (right)
No net shift
Explanation
This question tests the skill of reaction quotient and Le Châtelier's principle. Adding $\mathrm{CH_3COO^-}$, a product, increases its concentration, causing the reaction quotient $Q_c = \frac{[\mathrm{H^+}][\mathrm{CH_3COO^-}]}{[\mathrm{CH_3COOH}]}$ to become greater than $K_c$. Since $Q_c > K_c$, the system will shift to reduce $Q_c$ by favoring the reverse reaction, which consumes $\mathrm{H^+}$ and $\mathrm{CH_3COO^-}$ to produce $\mathrm{CH_3COOH}$. This net shift toward reactants restores equilibrium by driving $Q_c$ back to $K_c$. 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 $Q$ compared to $K$, then predict the shift that drives $Q$ back toward $K$.
A reaction mixture is at equilibrium for $$\mathrm{2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)}.$$ At this temperature, $K_p = 3.0\times 10^2$. Some $\mathrm{O_2(g)}$ is removed, and immediately afterward $Q_p = 7.5\times 10^2$. As the system reestablishes equilibrium, how will it shift?
Shift toward products (right)
No net shift
No net shift
Shift toward reactants (left)
Shift toward reactants (left)
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 $Q_p = [SO3]^2 / ([SO2]^2 [O2])$ to become greater than $K_p$ since the denominator decreases. Since $Q_p > K_p$, the system will shift to reduce $Q_p$ by favoring the reverse reaction, which produces more SO2 and O2 while consuming SO3. This net shift toward reactants restores equilibrium by driving $Q_p$ back to $K_p$. 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.
In a sealed flask at constant temperature, the equilibrium $\mathrm{2NO(g) + O_2(g) \rightleftharpoons 2NO_2(g)}$ has $K_p = 6.0\times10^1$. The system is initially at equilibrium. A small amount of $\mathrm{O_2(g)}$ is removed, and immediately afterward $Q_p$ is found to be $9.0\times10^1$. As equilibrium is reestablished, what shift occurs?
Shift toward reactants (net formation of $\mathrm{NO}$ and $\mathrm{O_2}$)
Shift toward products (net formation of $\mathrm{NO_2}$)
No net shift because removing $\mathrm{O_2}$ lowers both $Q_p$ and $K_p$ equally
Shift toward products because removing a reactant makes $Q_p < K_p$
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.
At constant temperature, a sealed container holds the equilibrium $\mathrm{H_2(g) + CO_2(g) \rightleftharpoons H_2O(g) + CO(g)}$ with $K_c = 0.50$. The system is initially at equilibrium. A small amount of $\mathrm{CO(g)}$ is added, and immediately afterward the reaction quotient is $Q_c = 0.80$. As equilibrium is reestablished, how will the system shift?
Shift toward products (net formation of $\mathrm{H_2O}$ and $\mathrm{CO}$)
No net shift because $Q_c$ is close to $K_c$
Shift toward products because adding $\mathrm{CO}$ makes $Q_c < K_c$
Shift toward reactants (net formation of $\mathrm{H_2}$ and $\mathrm{CO_2}$)
No net shift because adding a product changes $Q_c$ but not the direction
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.
A sealed rigid container at constant temperature contains the system at equilibrium: $$\text{N}_2\text{O}_4(g) \rightleftharpoons 2\text{NO}_2(g)$$ with $K_c = 0.50$. At equilibrium, the concentrations are $\text{N}_2\text{O}_4=0.40,\text{M}$ and $\text{NO}_2=0.45,\text{M}$. A small amount of $\text{NO}_2(g)$ is suddenly removed so that immediately after the stress $\text{NO}_2=0.30,\text{M}$ while $\text{N}_2\text{O}_4$ is unchanged at that instant. Based on comparing $Q_c$ to $K_c$, how will the system respond to reestablish equilibrium?
Shift toward reactants (left) because a product was removed, making $Q_c>K_c$
Shift toward products (right)
The reaction stops because equilibrium was disrupted
No net shift
Shift toward reactants (left)
Explanation
This question tests understanding of reaction quotient and Le Châtelier's principle. When NO₂ is removed from the equilibrium system, we calculate $Q_c = [\text{NO}_2]^2 / [\text{N}_2\text{O}_4] = (0.30)^2 / (0.40) = 0.225$, which is less than $K_c = 0.50$. Since $Q_c < K_c$, the system must shift toward products (right) to increase $Q_c$ back to $K_c$, producing more NO₂ to replace what was removed. Choice E incorrectly states that $Q_c > K_c$ when a product is removed, which is backwards—removing products always makes $Q < K$. The key strategy is to calculate $Q$ after the stress, compare it to $K$, then predict the shift: if $Q < K$, shift right; if $Q > K$, shift left.
A closed container at constant temperature contains the equilibrium system $$2\text{SO}_2(g)+\text{O}_2(g) \rightleftharpoons 2\text{SO}_3(g)$$ with $K_p=4.0$. A stress is applied by removing some $\text{SO}3(g)$. Immediately after the stress, the partial pressures are $P{\text{SO}2}=0.50,\text{atm}$, $P{\text{O}2}=0.50,\text{atm}$, and $P{\text{SO}_3}=0.40,\text{atm}$. Using $Q_p$ compared with $K_p$, which direction will the system shift to reestablish equilibrium?
The reaction stops because a product was removed
Shift toward reactants (left)
Shift toward products (right)
Shift toward reactants (left) because removing product makes $Q_p>K_p$
No net shift
Explanation
This question tests understanding of reaction quotient and Le Châtelier's principle. After SO₃ is removed, we calculate $Q_p = \frac{(P_{\text{SO}3})^2}{(P{\text{SO}2})^2 \times P{\text{O}_2}} = \frac{(0.40)^2}{(0.50)^2 \times 0.50} = 1.28$, which is less than $K_p = 4.0$. Since $Q_p < K_p$, the system must shift toward products (right) to increase $Q_p$ back to $K_p$, producing more SO₃ to replace what was removed. Choice E incorrectly states that removing product makes $Q_p > K_p$, 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.
A container at constant temperature contains the system at equilibrium: $$\text{Fe}^{3+}(aq)+\text{SCN}^-(aq) \rightleftharpoons \text{FeSCN}^{2+}(aq)$$ with $K_c=100$. A stress is applied by adding $\text{FeSCN}^{2+}(aq)$. Immediately after the addition, the concentrations are $\text{Fe}^{3+}=0.10,\text{M}$, $\text{SCN}^-=0.10,\text{M}$, and $\text{FeSCN}^{2+}=2.0,\text{M}$. Based on $Q_c$ compared with $K_c$, how will the system respond to reestablish equilibrium?
Shift toward reactants (left)
No net shift
Shift toward products (right)
Shift toward products (right) because a product was added
The reaction stops because adding product consumes reactants instantly
Explanation
This question tests understanding of reaction quotient and Le Châtelier's principle. After $\text{FeSCN}^{2+}$ is added, we calculate $Q_c = \frac{[\text{FeSCN}^{2+}]}{[\text{Fe}^{3+}][\text{SCN}^{-}]} = \frac{2.0}{0.10 \times 0.10} = 200$, which is greater than $K_c = 100$. Since $Q_c > K_c$, the system must shift toward reactants (left) to decrease $Q_c$ back to $K_c$, converting some of the added $\text{FeSCN}^{2+}$ back into $\text{Fe}^{3+}$ and $\text{SCN}^{-}$. 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.
At constant temperature, the following reaction is at equilibrium in a closed container: $$\text{CaCO}_3(s) \rightleftharpoons \text{CaO}(s)+\text{CO}_2(g)$$ with $K_p=0.80$. A stress is applied by adding $\text{CO}2(g)$ so that immediately after the stress $P{\text{CO}_2}=1.6,\text{atm}$. (Assume both solids remain present.) Based on comparing $Q_p$ and $K_p$, how will the system respond to reestablish equilibrium?
Shift toward products (right) because adding gas increases pressure
Shift toward products (right)
Shift toward reactants (left)
No net shift
The reaction stops because solids make $Q_p$ constant
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.