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Chemical Equilibrium and the Equilibrium Constant (K)

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Chemical Equilibrium

Introduction to Equilibrium

Chemical equilibrium occurs when the rates of the forward and reverse reactions in a chemical system are equal, resulting in constant concentrations of reactants and products over time. This concept is fundamental in understanding how chemical reactions behave under different conditions.

  • Dynamic equilibrium: Both forward and reverse reactions continue to occur, but there is no net change in the concentrations of reactants and products.

  • Equilibrium position: The relative concentrations of reactants and products at equilibrium.

The Equilibrium Constant (K)

Definition and Interpretation

The equilibrium constant, K, is a numerical value that expresses the ratio of the concentrations of products to reactants at equilibrium, each raised to the power of their respective coefficients in the balanced chemical equation.

  • K > 1: Products are favored; the equilibrium lies to the right.

  • K < 1: Reactants are favored; the equilibrium lies to the left.

  • K = 1: Neither reactants nor products are favored; significant amounts of both are present at equilibrium.

The general form of the equilibrium constant expression for a reaction:

is:

where [X] denotes the concentration of species X at equilibrium.

States of Matter in K Expressions

  • Only gases and aqueous species are included in the equilibrium expression.

  • Solids and liquids are omitted because their concentrations do not change.

Writing Equilibrium Expressions

Examples

  • Example 1:

  • Example 2: (since both are solids, the equilibrium constant is not dependent on their concentrations)

  • Example 3:

Practice Problems

Comparing Reactant and Product Amounts Using K

Given the value of K, determine whether reactants or products are present in greater amounts at equilibrium:

Reaction

K Value

Greater Amount at Equilibrium

N2(g) + O2(g) ↔ 2 NO(g)

1.0 × 10-5

Reactants

2 CO(g) ↔ CO2(g) + C(s)

2.2 × 102

Products

2 BrCl(g) ↔ Br2(g) + Cl2(g)

1

Neither (similar amounts)

Writing Equilibrium Expressions for Reverse Reactions

  • For the reverse reaction, the equilibrium constant is the reciprocal of the forward reaction's K value.

  • Example: If , then

Application: Calculating Equilibrium Concentrations

  • Given K and equilibrium concentrations of all but one species, solve for the unknown concentration using the equilibrium expression.

  • Example: For , at 500 K. If M, M, solve for :

Rearrange to solve for :

Summary Table: Interpreting K Values

K Value

Interpretation

K > 1

Products favored at equilibrium

K < 1

Reactants favored at equilibrium

K = 1

Neither favored; significant amounts of both

Key Terms

  • Equilibrium constant (K): A value that expresses the ratio of product to reactant concentrations at equilibrium.

  • Dynamic equilibrium: The state in which the forward and reverse reactions occur at the same rate.

  • Homogeneous equilibrium: All reactants and products are in the same phase.

  • Heterogeneous equilibrium: Reactants and products are in different phases.

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