How Far? The Extent Of Chemical Change

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Apuntes de la lección

Reversible Reactions and Dynamic Equilibrium

  • Some reactions go to completion, where reactants are used up to form products and the reaction stops.
  • In reversible reactions, products can react to reform the original reactants; this is shown using two opposing half arrows: ⇌.
  • In a dynamic equilibrium, the rate of the forward reaction is the same as the rate of the backward reaction in a closed system.
  • The concentrations of reactants and products remain constant, but they are not necessarily equal.
  • There is no change in macroscopic properties such as colour and density because these depend on concentration.
  • Dynamic equilibrium can be reached starting with either reactants or products.

A reversible reaction at equilibrium

A reversible reaction at equilibrium

Closed and Open Systems

  • A closed system is one in which none of the reactants or products escape from the reaction mixture.
  • In an open system, some matter is lost to the surroundings.
  • When a reaction takes place entirely in solution, equilibrium can be reached in open flasks.
  • If the reaction involves a gas, equilibrium can only be reached in a closed system.
  • Dynamic equilibrium can also occur in physical systems, such as the equilibrium between liquid ethanol and ethanol vapour in a sealed bottle.

The Equilibrium Law and the Equilibrium Constant Expression

  • The equilibrium law explains how the equilibrium constant, K, can be found from the stoichiometry of the reaction.
  • For the general reaction aA + bB ⇌ cC + dD, the equilibrium constant expression is: K = [C]c [D]d / ([A]a [B]b).
  • [A] and [B] are equilibrium reactant concentrations in mol dm⁻³; [C] and [D] are equilibrium product concentrations in mol dm⁻³.
  • Solids are ignored in equilibrium constant expressions.
  • The equilibrium constant, K, is specific to a given equation.
  • In equilibrium constant expressions, square brackets must be used as they represent concentrations.

Interpreting the Magnitude of K

  • The size of K tells us how the equilibrium mixture is made up with respect to reactants and products.
  • If K << 1, the reaction hardly proceeds, the equilibrium lies far to the left, and the mixture contains mostly reactants.
  • If K < 1, the reaction favours the reactants and the equilibrium lies to the left-hand side.
  • If K = 1, there are significant amounts of both reactants and products, and the equilibrium is balanced between the two sides.
  • If K > 1, the reaction favours the products and the equilibrium lies to the right-hand side.
  • If K >> 1, the reaction goes almost to completion, the equilibrium lies far to the right with mostly products present.

The Equilibrium Constant and Temperature

  • K is a constant at a specified temperature.
  • Since temperature can affect the position of equilibrium, K is dependent on temperature.
  • For an endothermic reaction, an increase in temperature increases the value of K.
  • For an exothermic reaction, an increase in temperature decreases the value of K.
  • Changes in concentration or pressure do not affect the value of K, provided temperature remains constant.

Relationship Between K Values for Reverse Reactions

  • The equilibrium constant expression depends on the specific reaction.
  • For a reaction and its reverse, the equilibrium constants are reciprocals of each other at the same temperature: K' = 1/K.
  • For example, if the equilibrium constant for a forward reaction is 7.1 × 10³², the equilibrium constant for the reverse reaction is 1.41 × 10⁻³³.

Le Chatelier's Principle: Concentration Changes

  • Le Chatelier's principle states that if a change is made to a system at dynamic equilibrium, the position of equilibrium moves to minimise this change.
  • Increasing the concentration of a reactant shifts the equilibrium to the right, producing more product.
  • Decreasing the concentration of a reactant shifts the equilibrium to the left.
  • Increasing the concentration of a product shifts the equilibrium to the left.
  • Decreasing the concentration of a product shifts the equilibrium to the right.
  • Changes in concentration do not affect the value of K.

Equilibrium and the Haber process

Equilibrium and the Haber process

Le Chatelier's Principle: Pressure Changes

  • Changes in pressure only affect reactions where reactants or products are gases.
  • Increasing the pressure shifts the equilibrium in the direction that produces the smaller number of gas molecules.
  • Decreasing the pressure shifts the equilibrium in the direction that produces the larger number of gas molecules.
  • If there are the same number of gas molecules on both sides, changes in pressure do not change the position of equilibrium.
  • Changes in pressure do not affect the value of K.

Le Chatelier's Principle: Temperature Changes

  • Increasing the temperature shifts the equilibrium in the endothermic direction, absorbing energy.
  • Decreasing the temperature shifts the equilibrium in the exothermic direction, releasing energy.
  • Changes in temperature change the value of K.
  • For an endothermic reaction, increasing temperature increases K.
  • For an exothermic reaction, increasing temperature decreases K.

Catalysts and Heterogeneous Equilibria

  • A catalyst increases the rate of a chemical reaction by increasing the rate of the forward and reverse reactions equally.
  • Catalysts only cause a reaction to reach equilibrium faster; they have no effect on the position of equilibrium or on the value of K.
  • Le Chatelier's principle can also be applied to heterogeneous equilibria.
  • In a fizzy drink bottle, an equilibrium exists between dissolved CO₂ and gaseous CO₂: CO₂(g) ⇌ CO₂(aq).
  • When the bottle is opened, some CO₂(g) escapes, the equilibrium shifts to the left, and bubbles of CO₂(g) are observed.

Diapositivas

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Preguntas de práctica

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  1. 1.Which statement describes a closed system?

    Easy
    • AOnly matter can be transferred across the boundary
    • BOnly energy can be transferred across the boundary
    • CEnergy and matter can be transferred across the boundary
    • DEnergy and matter cannot be transferred across the boundary
  2. 2.Dinitrogen tetraoxide, N2O4, and nitrogen dioxide exist in equilibrium according to the equation: 2NO2(g) ⇌ N2O4(g) ΔH = –57 kJ mol–1. Which conditions give the greatest percentage of NO2 at equilibrium?

    Medium
    • Ahigh pressure and high temperature
    • Blow pressure and high temperature
    • Chigh pressure and low temperature
    • Dlow pressure and low temperature
  3. 3.Which statement below best describes a dynamic equilibrium?

    Easy
    • Athe rate of the forward reaction is equal to the backwards reaction, and the concentrations of reactants and products is constant
    • Bthe rate of the forward reaction is equal to the backwards reaction in a closed system, and the concentrations of the reactants and products are equal
    • Cthe rate of the forward reaction is equal to the backwards reaction in a closed system, and the concentrations of the reactants and products is constant
    • Dthe rate of reaction changes in either direction to counteract a change in conditions
  4. 4.Ethanol is manufactured by reacting steam with ethene: C2H4(g) + H2O(g) ⇌ C2H5OH(g) ΔH = –45 kJ mol–1. Which changes would increase the equilibrium yield of ethanol? (select all that apply)

    Medium
    • AAdding a catalyst
    • BIncreasing the pressure
    • CDecreasing the temperature
    • DIncreasing the temperature
    • ERemoving ethanol as it forms
  5. 5.Propyl ethanoate is formed in an esterification reaction: CH3CH2CH2OH(l) + CH3COOH(l) ⇌ CH3COOCH2CH2CH3(l) + H2O(l) ΔH = –10 kJ mol–1. How can the value of the equilibrium constant Kc be increased?

    Medium
    • Aincreasing the temperature
    • Badding a catalyst
    • Cincreasing the pressure
    • Dlowering the temperature
  6. 6.An equilibrium is established at 450 °C when gaseous, purple iodine reacts with colourless hydrogen to form colourless hydrogen iodide: H2(g) + I2(g) ⇌ 2HI(g). The reaction is exothermic. Which change in conditions will cause the purple colour of the equilibrium mixture to become paler?

    Medium
    • Adecrease in pressure
    • Bdecrease in temperature
    • Cincrease in pressure
    • Dincrease in temperature
  7. 7.Nitrosyl chloride decomposes into nitrogen monoxide and chlorine according to the following equation: 2NOCl(g) ⇌ 2NO(g) + Cl2(g). What is the correct expression for Kc?

    Medium
    • A[NOCl]2 / ([NO]2 [Cl2])
    • B[NO] [Cl2] / [NOCl]
    • C2[NO] [Cl2] / 2[NOCl]
    • D[NO]2 [Cl2] / [NOCl]2
  8. 8.An equilibrium is established in the reaction: AB(aq) + CD(aq) ⇌ AC(aq) + BD(aq) ΔH = +180 kJ mol–1. Which factors would affect the value of Kc in this equilibrium?

    Medium
    • Achange in temperature in the absence of a catalyst
    • Bchange in pressure in the presence of a catalyst
    • Cincreasing the concentration of AB
    • Dincreasing the concentration of AC

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