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Equilibrium and the Equilibrium Constant

Dynamic equilibrium occurs in reversible chemical reactions when forward and reverse reaction rates are equal, leading to constant reactant and product concentrations. The equilibrium constant, Kc, is a ratio reflecting this balance, crucial for predicting reaction outcomes and influenced solely by temperature. Understanding Kc is vital for controlling chemical processes like the Haber synthesis of ammonia.

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1

Definition of reversible chemical reaction

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Reaction where products can revert to reactants.

2

Meaning of constant concentrations at equilibrium

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Reactant and product concentrations don't change over time.

3

Role of stoichiometric coefficients in Kc expression

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Coefficients determine concentration powers in Kc formula.

4

The equilibrium constant, ______, is used for reactions in a single phase and changes with ______.

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Kc temperature

5

In a heterogeneous equilibrium, the concentration of pure ______ and ______ are not included in the ______ expression.

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solids liquids Kc

6

Equilibrium constant Kc units

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No units for Kc; it's a ratio of molar concentrations raised to the power of stoichiometric coefficients.

7

Meaning of square brackets in Kc expression

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Square brackets represent molar concentrations of species at equilibrium.

8

Position of products and reactants in Kc expression

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Products' concentrations in numerator, reactants' concentrations in denominator.

9

When the stoichiometry of a reaction's gaseous reactants and products is equal, the resulting ______ is without units, otherwise known as ______.

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Kc dimensionless

10

Purpose of ICE Table

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Used to track Initial, Change, Equilibrium concentrations in reactions.

11

Determining Equilibrium Concentrations

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Substitute equilibrium values into Kc expression to find constant.

12

Solving for Equilibrium Concentrations

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May involve quadratic equations if Kc is known but concentrations are not.

13

A Kc value ______ than one implies a reaction mixture richer in reactants, with the equilibrium favoring the reactants' side.

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less

14

Factors not affecting Kc

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Pressure, concentration, catalysts do not change Kc.

15

Effect of temperature on exothermic reaction equilibrium

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Raising temperature shifts exothermic reaction equilibrium towards reactants, lowers Kc.

16

In the ______ process, chemists modify reactant levels and conditions to sway the equilibrium, optimizing product ______ based on Kc and temperature.

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Haber yield

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Dynamic Equilibrium and the Equilibrium Constant (Kc)

In reversible chemical reactions, a dynamic equilibrium is established when the rate of the forward reaction equals the rate of the reverse reaction, resulting in constant concentrations of reactants and products. The equilibrium constant, denoted as Kc, quantitatively expresses the ratio of the concentrations of products to reactants at equilibrium, with each concentration raised to the power of its stoichiometric coefficient from the balanced chemical equation. This constant is crucial for predicting the extent of a reaction and the composition of the equilibrium mixture.
Colorful chemical reaction in a glass flask on wooden laboratory bench, flanked by beakers and graduated cylinder with liquids.

Characteristics of the Equilibrium Constant Kc

The equilibrium constant Kc applies to the concentrations of species in a reversible reaction at equilibrium and is specific to homogeneous equilibria, where all reactants and products are in the same phase. In contrast, for heterogeneous equilibria involving different phases, the concentration of pure solids and liquids are omitted from the Kc expression. The value of Kc is dependent on temperature and remains constant for a given reaction at that temperature, irrespective of the initial concentrations of reactants and products.

Formulating the Equilibrium Constant Kc

The equilibrium constant Kc is calculated using the balanced chemical equation of the reaction. For a general reaction aA + bB ⇋ cC + dD, where the species are in aqueous solution or gaseous state, Kc is given by [C]^c[D]^d / [A]^a[B]^b. Here, the square brackets denote the molar concentrations of the species at equilibrium, and a, b, c, and d are their respective stoichiometric coefficients. The formula places the concentrations of the products in the numerator and those of the reactants in the denominator.

Determining the Units of Kc

The units of the equilibrium constant Kc are derived from the reaction stoichiometry and the units of concentration (mol/L). These units may cancel out in cases where the reaction involves the same number of moles of gaseous reactants and products, resulting in a dimensionless Kc. However, when the stoichiometry of reactants and products differs, Kc will have units, which are determined by the net difference in moles between products and reactants.

Solving Equilibrium Problems

To find the value of Kc, one must first determine the equilibrium concentrations of all species involved. This is often done using an ICE (Initial, Change, Equilibrium) table to systematically calculate the changes in concentrations from the start of the reaction to equilibrium. Once the equilibrium concentrations are known, they are substituted into the Kc expression to compute the equilibrium constant. This process may require solving quadratic equations if the value of Kc is known and the equilibrium concentrations need to be found.

Interpreting the Value of Kc

The magnitude of Kc provides insights into the position of equilibrium within a reaction. A Kc value less than one indicates a reaction mixture with a higher concentration of reactants than products, suggesting the equilibrium lies to the left, favoring reactants. A Kc value greater than one indicates a higher concentration of products, suggesting the equilibrium lies to the right, favoring products. A Kc value of one implies that the concentrations of reactants and products are approximately equal, indicating a balanced equilibrium.

Influence of Temperature on Kc

Temperature is the sole factor that can change the value of Kc. Alterations in pressure, concentration, or the addition of a catalyst do not affect the equilibrium constant. For instance, increasing the temperature of an exothermic reaction will shift the equilibrium towards the reactants, thus reducing Kc, while decreasing the temperature will shift it towards the products, increasing Kc.

Practical Applications of Kc

The equilibrium constant Kc is essential for the control and optimization of chemical processes, such as the industrial synthesis of ammonia in the Haber process. By adjusting reactant concentrations and operating conditions in accordance with Le Chatelier's principle and the value of Kc at a given temperature, chemists can influence the position of equilibrium to maximize the yield of desired products. This application of Kc is fundamental in industrial chemistry for the efficient production of chemicals.