Equilibrium Constants in Chemical Reactions

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Questions and Answers

What is the equilibrium constant Kc for Experiment 1 based on the given concentrations?

  • 0.213
  • 0.211 (correct)
  • 0.0400
  • 0.0243

What is the equilibrium constant expression Kc for the reaction 2 O3(g) Δ 3 O2(g)?

  • $K_c = \frac{[O_2]^3}{[O_3]^2}$ (correct)
  • $K_c = \frac{[O_3]}{[O_2]^2}$
  • $K_c = \frac{[O_3]^2}{[O_2]^3}$
  • $K_c = \frac{[O_2]^2}{[O_3]}$

Which of the following statements is true regarding the equilibrium constants Kc from different experiments?

  • Kc varies significantly with the concentration of reactants.
  • Kc remains constant despite the variations in initial concentrations. (correct)
  • Kc can only be calculated when starting with NO2.
  • Kc shows different values depending on temperature.

Which of the following is the correct equilibrium expression Kc for the reaction 2 NO(g) + Cl2(g) Δ 2 NOCl(g)?

<p>$K_c = \frac{[NOCl]^2}{[NO]^2[Cl_2]}$ (C)</p> Signup and view all the answers

What is the Kc expression for the reaction Ag+(aq) + 2 NH3(aq) Δ Ag(NH3)2+(aq)?

<p>$K_c = \frac{[Ag(NH_3)_2^+]}{[Ag^+][NH_3]^2}$ (B)</p> Signup and view all the answers

For the reaction H2(g) + I2(g) Δ 2 HI(g), what is the correct expression for Kc?

<p>$K_c = \frac{[HI]^2}{[H_2][I_2]}$ (D)</p> Signup and view all the answers

What is a characteristic of Kc values mentioned in the content?

<p>Kc is dimensionless and has no units. (C)</p> Signup and view all the answers

What is the correct equilibrium expression for the reaction Cd2+(aq) + 4 Br-(aq) Δ CdBr42-(aq)?

<p>$K_c = \frac{[CdBr_4^{2-}]}{[Cd^{2+}][Br^-]^4}$ (A)</p> Signup and view all the answers

What principle explains how a system at equilibrium responds to disturbances?

<p>Le Chatelier’s Principle (C)</p> Signup and view all the answers

What occurs if a reactant is removed from a system at equilibrium?

<p>The system reacts to produce more of the removed reactant. (C)</p> Signup and view all the answers

If the volume of a gaseous equilibrium mixture is reduced, what direction will the system shift?

<p>It shifts toward the side with fewer moles of gas. (D)</p> Signup and view all the answers

Which factor does not affect the equilibrium position of a chemical reaction?

<p>Presence of a catalyst (C)</p> Signup and view all the answers

In a reaction producing NH3 from H2 and N2, increasing the concentration of N2 will result in what response from the system?

<p>The system will produce more NH3. (B)</p> Signup and view all the answers

Which statement about equilibrium is false?

<p>Equilibrium is only established in solutions. (C)</p> Signup and view all the answers

How does the equilibrium constant Kp change if the reaction 2 HI(g) Δ H2(g) + I2(g) is rewritten as 6 HI(g) Δ 3 H2(g) + 3 I2(g)?

<p>Kp is raised to the power of 3 (A)</p> Signup and view all the answers

What is the correct equilibrium constant expression for the reaction 2 NOBr(g) Δ 2 NO(g) + Br2(g)?

<p>Kc = [NO]^2 / [NOBr]^2 (B)</p> Signup and view all the answers

How can the equilibrium constant for a net reaction be calculated using separate reactions?

<p>By multiplying the equilibrium constants of the individual reactions (A)</p> Signup and view all the answers

What is the relationship between the equilibrium constants of a reaction and its reverse reaction?

<p>The reverse reaction's constant is the inverse of the forward reaction (B)</p> Signup and view all the answers

For which of the following scenarios can the equilibrium constants be multiplied to find a new constant?

<p>When the reactions are added together (D)</p> Signup and view all the answers

Which of the following is true about the expression for Kc in the reaction 2 Br2(g) + Cl2(g) Δ 2 BrCl(g)?

<p>Kc = [BrCl]^2 / [Br2]^2[Cl2] (D)</p> Signup and view all the answers

What happens to the overall Kc when a reaction is reversed?

<p>Kc becomes the reciprocal (D)</p> Signup and view all the answers

What is the activity of any pure solid or liquid in terms of its reference value?

<p>1 (C)</p> Signup and view all the answers

In the equilibrium-constant expression for the evaporation of water, which component is omitted?

<p>H2O(l) (B)</p> Signup and view all the answers

Which of the following reactions would have an equilibrium-constant expression that includes only gases?

<p>C(s) + O2(g) Δ CO2(g) (B)</p> Signup and view all the answers

For the decomposition of calcium carbonate, what does the equilibrium constant Kc equal to?

<p>[CO2] (B)</p> Signup and view all the answers

What remains constant for the equilibrium of CaCO3, CaO, and CO2 regardless of their amounts?

<p>Partial pressure of CO2 (B)</p> Signup and view all the answers

In the reaction SnO2(s) + 2 CO(g) Δ Sn(s) + 2 CO2(g), which components are included in the equilibrium constant expression?

<p>CO(g) and CO2(g) (A)</p> Signup and view all the answers

Which statement about equilibrium constants in heterogeneous reactions is correct?

<p>Concentrations of pure solids and liquids are omitted. (A)</p> Signup and view all the answers

What is the correct equilibrium-constant expression Kc for the reaction CO2(g) + H2(g) Δ CO(g) + H2O(l)?

<p>[CO] / [CO2] (A)</p> Signup and view all the answers

How does an increase in temperature affect an endothermic reaction at equilibrium?

<p>The equilibrium shifts right to produce more products. (A)</p> Signup and view all the answers

What will happen to the equilibrium if a product is removed from an exothermic reaction?

<p>The equilibrium will shift left to produce more reactants. (A)</p> Signup and view all the answers

When pressure is increased in a system at equilibrium, which direction does the equilibrium shift if there are fewer moles of gas on the product side?

<p>The equilibrium shifts right to favor the products. (C)</p> Signup and view all the answers

If the temperature of an exothermic reaction is decreased, what is the effect on the equilibrium position?

<p>The equilibrium shifts right to produce more products. (A)</p> Signup and view all the answers

Which of the following defines Le Châtelier’s principle?

<p>An equilibrium shifts to counteract a change applied to it. (C)</p> Signup and view all the answers

Flashcards

What is the Equilibrium Constant, Kc?

The equilibrium constant, Kc, for a reversible reaction is the ratio of the product concentrations to the reactant concentrations, each raised to the power of their stoichiometric coefficient. For the reaction aA + bB <=> cC + dD, the equilibrium constant expression is Kc = [C]^c * [D]^d / [A]^a * [B]^b. The square brackets indicate molar concentrations.

Write the equilibrium constant expression for 2NO(g) + Cl2(g) <=> 2NOCl(g).

The equilibrium constant expression for the reaction 2NO(g) + Cl2(g) <=> 2NOCl(g) is Kc = [NOCl]^2 / [NO]^2 * [Cl2]. The product NOCl is in the numerator, raised to the power of 2, and the reactants NO and Cl2 are in the denominator, each raised to the power of their stoichiometric coefficient. This expression quantifies the relative amounts of products and reactants at equilibrium.

Write the equilibrium constant expression for Ag+(aq) + 2NH3(aq) <=> Ag(NH3)2+(aq).

The equilibrium constant expression for the reaction Ag+(aq) + 2NH3(aq) <=> Ag(NH3)2+(aq) is Kc = [Ag(NH3)2+] / [Ag+] * [NH3]^2. The product Ag(NH3)2+ is in the numerator, and the reactants Ag+ and NH3 are in the denominator, raised to the power of their stoichiometric coefficients.

Write the equilibrium constant expression for H2(g) + I2(g) <=> 2HI(g).

The equilibrium constant expression for the reaction H2(g) + I2(g) <=> 2HI(g) is Kc = [HI]^2 / [H2] * [I2]. The product HI is in the numerator, squared, and the reactants H2 and I2 are in the denominator, each raised to the power of 1.

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Write the equilibrium constant expression for Cd2+(aq) + 4Br-(aq) <=> CdBr42-(aq).

The equilibrium constant expression for the reaction Cd2+(aq) + 4Br-(aq) <=> CdBr42-(aq) is Kc = [CdBr42-] / [Cd2+] * [Br-]^4. The product CdBr42- is in the numerator. Reactants Cd2+ and Br- are in the denominator, Cd2+ raised to the power of 1 and Br- raised to the power of 4.

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Equilibrium Constant (Kc)

A constant value that describes the ratio of product concentrations to reactant concentrations when a reaction has reached equilibrium. It reflects the relative amounts of reactants and products at equilibrium.

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Equilibrium

The state where the rate of the forward reaction equals the rate of the reverse reaction, and the concentrations of reactants and products remain constant.

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Equilibrium Constant Expression

The ratio of the concentrations of products to the concentrations of reactants, each raised to the power of their stoichiometric coefficient, in a balanced chemical equation.

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Equilibrium Constant Remains Constant

A change in the initial concentrations of reactants or products does not change the value of the Equilibrium Constant (Kc).

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Equilibrium is Reachable from Either Direction

The initial concentration of reactants or products does not affect the final equilibrium mixture. Equilibrium can be achieved starting with either reactants or products.

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Temperature Dependence of Kc

The value of Kc for a reaction is constant at a given temperature.

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Le Chatelier's Principle

A change in the concentration of one or more reactants or products will shift the reaction to re-establish a new equilibrium.

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Effect of Pressure on Equilibrium

A change in pressure will favor the side of the reaction with fewer gas moles.

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Kp and Stoichiometry

The equilibrium constant, Kp, for a reaction is unaffected by changes in the stoichiometric coefficients of the balanced reaction.

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Equilibrium Constants and Hess's Law

The equilibrium constant for a net reaction is the product of the equilibrium constants for the individual reactions that add up to give the net reaction.

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Equilibrium Constant for a Reversed Reaction

If you reverse a reaction, the equilibrium constant of the reverse reaction is the inverse (reciprocal) of the equilibrium constant of the forward reaction.

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Equilibrium Constant, Kc

The equilibrium constant, Kc, for a reaction is the ratio of the product concentrations to the reactant concentrations, each raised to the power of their stoichiometric coefficient. For the reaction aA + bB <=> cC + dD, the equilibrium constant expression is Kc = [C]^c * [D]^d / [A]^a * [B]^b. The square brackets indicate molar concentrations.

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Equilibrium Constant, Kp

The equilibrium constant, Kp, for a reaction is the ratio of the partial pressures of the products to the partial pressures of the reactants, each raised to the power of their stoichiometric coefficient. For the reaction aA + bB <=> cC + dD, the equilibrium constant expression is Kp = (P_C)^c * (P_D)^d / (P_A)^a * (P_B)^b.

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Activity of Pure Solids and Liquids

The activity of a pure solid or liquid is always 1.

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Equilibrium Constant for Heterogeneous Reactions

The equilibrium constant expression for a heterogeneous reaction does not include the concentrations of pure solids or liquids.

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Kp: Equilibrium Constant in Partial Pressures

Kp is the equilibrium constant expressed in terms of partial pressures.

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Equilibrium of Calcium Carbonate Decomposition

The equilibrium constant for the reaction CaCO3(s) ⇌ CaO(s) + CO2(g) is Kc = [CO2] and Kp = PCO2. This means at a given temperature, the equilibrium pressure of CO2 is constant regardless of the amounts of CaO and CaCO3 present.

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Equilibrium Constant for CO2 + H2 ⇌ CO + H2O

The equilibrium constant expression for the reaction CO2(g) + H2(g) ⇌ CO(g) + H2O(l) is Kc = [CO] / [CO2][H2].

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Equilibrium Constant for SnO2 + CO ⇌ Sn + CO2

The equilibrium constant expression for the reaction SnO2(s) + 2 CO(g) ⇌ Sn(s) + 2 CO2(g) is Kc = [CO2]^2 / [CO]^2.

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Le Chatelier's Principle and Temperature

If the temperature of a system at equilibrium is increased, the reaction will shift to favor the endothermic direction, consuming added heat. If the temperature is decreased, the reaction will shift to favor the exothermic direction, releasing heat.

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Pressure and Equilibrium

The side of the equilibrium with fewer gas moles will be favored by an increase in pressure.

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Change in Concentration and Equilibrium

Adding a reactant will shift the equilibrium to favor the product side, while removing a reactant will shift it to favor the reactant side. The opposite is true for products.

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Heat and Equilibrium

Adding or removing heat to a reaction at equilibrium will shift the equilibrium to favor the endothermic or exothermic direction, respectively.

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Effect of Initial Concentrations on Kc

The equilibrium constant, Kc, is unaffected by changes in the initial concentrations of reactants or products.

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Concentration Change on Equilibrium

Adding a reactant or product to a system at equilibrium will cause the system to shift to consume some of the added substance. Removing a substance will cause the system to produce more of that substance.

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Pressure Change on Equilibrium

Reducing the volume of a gaseous equilibrium mixture at constant temperature will shift the system towards the side with fewer moles of gas.

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Equilibrium Reachable from Either Direction

Equilibrium can be reached from either direction, starting with reactants or products. The final equilibrium mixture will be the same.

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Study Notes

Chemical Equilibrium

  • Equilibrium is a state of balance where the rate of the forward reaction equals the rate of the reverse reaction.
  • Static equilibrium is a state where objects are at rest.
  • Dynamic equilibrium is a state where opposing processes occur at equal rates, maintaining constant net change.
  • Chemical equilibrium is a state where the rates of the forward and reverse reactions are equal, and the concentrations of reactants and products remain constant.

Calculating Equilibrium Constants

  • Equilibrium constants (K) can be calculated from equilibrium concentrations of reactants and products.
  • Equilibrium constants can predict equilibrium concentrations and the direction of a reaction to reach equilibrium.

Le Chatelier's Principle

  • Le Chatelier's principle predicts how a system at equilibrium responds to changes in concentration, volume, pressure, and temperature.
  • Adding a reactant causes the system to shift in the direction that consumes more reactant to reduce the concentration of the newly added reactant.
  • Conversely, removing a substance causes the system to shift in the direction that produces more of that substance.
  • Increasing pressure (decreasing volume) causes the equilibrium to shift to the side with fewer moles of gas.
  • Decreasing pressure (increasing volume) causes the equilibrium to shift to the side with more moles of gas.
  • Increasing temperature favors the endothermic reaction.
  • Decreasing temperature favors the exothermic reaction.

The Equilibrium Constant, K

  • The value of K reflects the relative concentrations of reactants and products at equilibrium.
  • A large K indicates that the products are largely favored in an equilibrium, whereas a small K indicates that reactants are favored.
  • If K is large (>>1), the equilibrium lies far to the right, favoring the products.
  • If K is small (<<1), the equilibrium lies far to the left, favoring the reactants.

Equilibrium Constant Expressions

  • Equilibrium expressions relate the concentrations of products and reactants at equilibrium.
  • For the generic reaction aA + bB → cC + dD, the equilibrium constant expression is: Kc = [C]^c[D]^d / [A]^a[B]^b.
  • A homogeneous equilibrium has all reactants and products in the same phase.
  • A heterogeneous equilibrium has reactants or products in different phases, with pure solids and liquids not included in the equilibrium expression.

Heterogeneous Equilibria

  • Equilibrium concentrations vary with changes in temperature.
  • Equilibrium expressions can be modified by changing the stoichiometric coefficients of the chemical reactions.

Relating Chemical Equation Stoichiometry and Equilibrium Constants

  • Multiplying or dividing a balanced reaction equation by a factor modifies the equilibrium constant (raising it to that power).
  • If two reactions add up to give a net reaction, their equilibrium constants multiply.

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