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Chapter 13 Chemical Equilibrium Section 13.1 The Equilibrium Condition Chemical Equilibrium The state where the concentrations of all reactants and products remain constant with time. On the molecular level, there is frantic activity. Equilibrium is not static, but is a highly dynamic situation. Copyright © Cengage Learning. All rights reserved 2 Section 13.2 The Equilibrium Constant H2O+CO→H2 +CO2 Figure 13.2 shows the plot of the concentration of the reactants and products verses time. CO and H2O are present in equal molar quantities. Since they react in 1:1 ratio, the concentration of the two gases are always equal. Since H2 and CO2 are formed in equal amount they are always present in the same concentration. Beyond certain time, indicated by the dashed line in figure 13. 2. equilibrium has reaced. Section 13.1 The Equilibrium Condition Equilibrium Is: Macroscopically static Microscopically dynamic Copyright © Cengage Learning. All rights reserved 4 Section 13.1 The Equilibrium Condition Changes in Concentration N2(g) + 3H2(g) Copyright © Cengage Learning. All rights reserved 2NH3(g) 5 Section 13.1 The Equilibrium Condition Chemical Equilibrium Concentrations reach levels where the rate of the forward reaction equals the rate of the reverse reaction. The system has reached equilibrium. We will now consider the equilibrium phenomenon in terms of the rates of opposing reactions. Copyright © Cengage Learning. All rights reserved 6 Section 13.1 The Equilibrium Condition The Changes with Time in the Rates of Forward and Reverse Reactions Copyright © Cengage Learning. All rights reserved 7 Section 13.1 The Equilibrium Condition CONCEPT CHECK! Consider an equilibrium mixture in a closed vessel reacting according to the equation: H2O(g) + CO(g) H2(g) + CO2(g) You add more H2O(g) to the flask. How does the concentration of each chemical compare to its original concentration after equilibrium is reestablished? Justify your answer. Copyright © Cengage Learning. All rights reserved 8 Section 13.1 The Equilibrium Condition CONCEPT CHECK! Consider an equilibrium mixture in a closed vessel reacting according to the equation: H2O(g) + CO(g) H2(g) + CO2(g) You add more H2 to the flask. How does the concentration of each chemical compare to its original concentration after equilibrium is reestablished? Justify your answer. Copyright © Cengage Learning. All rights reserved 9 Section 13.2 The Equilibrium Constant Consider the following reaction at equilibrium: Guldberg and Waage proposed the law of mass action as a general description of the equilibrium. jA + kB lC + mD l m j [A] k [B] [C] [D] K= A, B, C, and D = chemical species. Square brackets = concentrations of species at equilibrium. j, k, l, and m = coefficients in the balanced equation. K = equilibrium constant (given without units). Copyright © Cengage Learning. All rights reserved 10 Section 13.2 The Equilibrium Constant Conclusions About the Equilibrium Expression Equilibrium expression for a reaction is the reciprocal of that for the reaction written in reverse. When the balanced equation for a reaction is multiplied by a factor of n, the equilibrium expression for the new reaction is the original expression raised to the nth power; thus Knew = (Koriginal)n. K values are usually written without units. Copyright © Cengage Learning. All rights reserved 11 Section 13.2 The Equilibrium Constant K always has the same value at a given temperature regardless of the amounts of reactants or products that are present initially. For a reaction, at a given temperature, there are many equilibrium positions but only one equilibrium constant, K. Equilibrium concentrations will not always be the same. The equilibrium constant which depends on the ratio of the concentrations, remains the same. Equilibrium position is a set of equilibrium concentrations. There is only one equilibrium constant for a particular system at a particular temperature, but there are an infinite number of equilibrium positions. Copyright © Cengage Learning. All rights reserved 12 Section 13.3 Equilibrium Expressions Involving Pressures K involves concentrations. Kp involves pressures. PV = nRT or P=(n/V)RT = CRT, C=n/V (the no. of moles of gas per unit volume V). N2(g) + 3H2(g) 2NH3(g) K = [NH3]2/[N2][H2]3 Kc = C(NH3)2/(CN2)(CH23) Homogeneous Reactions: i) same no. of molecules on both sides of the equation ii) Different no. of molecules on both sides of the equation Heterogeneous Reactions: involves more than one phase. Symbols K and Kc are used for equilibrium constant. K is used in this book. Copyright © Cengage Learning. All rights reserved = 13 Section 13.3 Equilibrium Expressions Involving Pressures Example N2(g) + 3H2(g) 2NH3(g) At 500 0C the value of K = 6.0 x10-2, regardless of the amounts of the gases that are mixed to an equilibrium position. P = P P 2 Kp 3 N 2 Copyright © Cengage Learning. All rights reserved H NH3 3 N2 H2 2 NH 3 K = 2 14 Section 13.3 Equilibrium Expressions Involving Pressures Example N2(g) + 3H2(g) 2NH3(g) Equilibrium pressures at a certain temperature: PNH = 2.9 10 2 atm 3 PN = 8.9 10 1 atm 2 PH = 2.9 10 3 atm 2 Copyright © Cengage Learning. All rights reserved 15 Section 13.3 Equilibrium Expressions Involving Pressures Example N2(g) + 3H2(g) 2NH3(g) P = P P 2 Kp NH 3 N 2 Kp = 8.9 3 H 2 2.9 10 10 1 2 2 2.9 10 Kp = 3.9 104 Copyright © Cengage Learning. All rights reserved 16 3 3 Section 13.3 Equilibrium Expressions Involving Pressures The Relationship Between K and Kp Kp = K(RT)Δn Δn = sum of the coefficients of the gaseous products minus the sum of the coefficients of the gaseous reactants. R = 0.08206 L·atm/mol·K T = temperature (in Kelvin) Copyright © Cengage Learning. All rights reserved 17 Section 13.3 Equilibrium Expressions Involving Pressures Example N2(g) + 3H2(g) 2NH3(g) Using the value of Kp (3.9 × 104) from the previous example, calculate the value of K at 35°C. K p = K RT n 3.9 10 = K 0.08206 L atm/mol K 308K 4 K = 2.5 107 Copyright © Cengage Learning. All rights reserved 18 2 4 Section 13.4 Heterogeneous Equilibria Homogeneous Equilibria Homogeneous equilibria – involve the same phase: N2(g) + 3H2(g) 2NH3(g) HCN(aq) Copyright © Cengage Learning. All rights reserved H+(aq) + CN-(aq) 19 Section 13.4 Heterogeneous Equilibria Heterogeneous Equilibria Heterogeneous equilibria – involve more than one phase: 2KClO3(s) 2KCl(s) + 3O2(g) 2H2O(l) Copyright © Cengage Learning. All rights reserved 2H2(g) + O2(g) 20 Section 13.4 Heterogeneous Equilibria The position of a heterogeneous equilibrium does not depend on the amounts of pure solids or liquids present. The concentrations of pure liquids and solids are constant. 2KClO3(s) 2KCl(s) + 3O2(g) K = O2 3 Copyright © Cengage Learning. All rights reserved 21 Section 13.5 Applications of the Equilibrium Constant The Extent of a Reaction A value of K much larger than 1 means that at equilibrium the reaction system will consist of mostly products – the equilibrium lies to the right. Reaction goes essentially to completion. Copyright © Cengage Learning. All rights reserved 22 Section 13.5 Applications of the Equilibrium Constant The Extent of a Reaction A very small value of K means that the system at equilibrium will consist of mostly reactants – the equilibrium position is far to the left. Reaction does not occur to any significant extent. Copyright © Cengage Learning. All rights reserved 23 Section 13.5 Applications of the Equilibrium Constant CONCEPT CHECK! If the equilibrium lies to the right, the value for K is __________. large (or >1) If the equilibrium lies to the left, the value for K is ___________. small (or <1) Copyright © Cengage Learning. All rights reserved 24 Section 13.5 Applications of the Equilibrium Constant Reaction Quotient, Q Used when all of the initial concentrations are nonzero. Apply the law of mass action using initial concentrations instead of equilibrium concentrations. Copyright © Cengage Learning. All rights reserved 25 Section 13.5 Applications of the Equilibrium Constant Reaction Quotient, Q Q = K; The system is at equilibrium. No shift will occur. Q > K; The system shifts to the left. Consuming products and forming reactants, until equilibrium is achieved. Q < K; The system shifts to the right. Consuming reactants and forming products, to attain equilibrium. Copyright © Cengage Learning. All rights reserved 26 Section 13.5 Applications of the Equilibrium Constant EXERCISE! Consider the reaction represented by the equation: Fe3+(aq) + SCN-(aq) FeSCN2+(aq) Trial #1: 6.00 M Fe3+(aq) and 10.0 M SCN-(aq) are mixed at a certain temperature and at equilibrium the concentration of FeSCN2+(aq) is 4.00 M. What is the value for the equilibrium constant for this reaction? Copyright © Cengage Learning. All rights reserved 27 Section 13.5 Applications of the Equilibrium Constant Set up ICE Table Fe3+(aq) + SCN–(aq) FeSCN2+(aq) Initial Change Equilibrium 6.00 10.00 0.00 – 4.00 – 4.00+4.00 2.00 6.00 4.00 FeSCN2 4.00 M K = = 3 Fe SCN 2.00 M 6.00 M Copyright © Cengage Learning. All rights reserved K = 0.333 28 Section 13.5 Applications of the Equilibrium Constant EXERCISE! Consider the reaction represented by the equation: Fe3+(aq) + SCN-(aq) FeSCN2+(aq) Trial #2: Initial: 10.0 M Fe3+(aq) and 8.00 M SCN−(aq) (same temperature as Trial #1) Equilibrium: ? M FeSCN2+(aq) 5.00 M FeSCN2+ Copyright © Cengage Learning. All rights reserved 29 Section 13.5 Applications of the Equilibrium Constant EXERCISE! Consider the reaction represented by the equation: Fe3+(aq) + SCN-(aq) FeSCN2+(aq) Trial #3: Initial: 6.00 M Fe3+(aq) and 6.00 M SCN−(aq) Equilibrium: ? M FeSCN2+(aq) 3.00 M FeSCN2+ Copyright © Cengage Learning. All rights reserved 30 Section 13.6 Solving Equilibrium Problems Solving Equilibrium Problems 1) Write the balanced equation for the reaction. 2) Write the equilibrium expression using the law of mass action. 3) List the initial concentrations. 4) Calculate Q, and determine the direction of the shift to equilibrium. Copyright © Cengage Learning. All rights reserved 31 Section 13.6 Solving Equilibrium Problems Solving Equilibrium Problems 5) Define the change needed to reach equilibrium, and define the equilibrium concentrations by applying the change to the initial concentrations. 6) Substitute the equilibrium concentrations into the equilibrium expression, and solve for the unknown. 7) Check your calculated equilibrium concentrations by making sure they give the correct value of K. Copyright © Cengage Learning. All rights reserved 32 Section 13.6 Solving Equilibrium Problems EXERCISE! Consider the reaction represented by the equation: Fe3+(aq) + SCN-(aq) FeSCN2+(aq) Fe3+ Trial #1 9.00 M Trial #2 3.00 M Trial #3 2.00 M SCN5.00 M 2.00 M 9.00 M FeSCN2+ 1.00 M 5.00 M 6.00 M Find the equilibrium concentrations for all species. Copyright © Cengage Learning. All rights reserved 33 Section 13.6 Solving Equilibrium Problems EXERCISE! Answer Trial #1: [Fe3+] = 6.00 M; [SCN-] = 2.00 M; [FeSCN2+] = 4.00 M Trial #2: [Fe3+] = 4.00 M; [SCN-] = 3.00 M; [FeSCN2+] = 4.00 M Trial #3: [Fe3+] = 2.00 M; [SCN-] = 9.00 M; [FeSCN2+] = 6.00 M Copyright © Cengage Learning. All rights reserved 34 Section 13.6 Solving Equilibrium Problems CONCEPT CHECK! A 2.0 mol sample of ammonia is introduced into a 1.00 L container. At a certain temperature, the ammonia partially dissociates according to the equation: NH3(g) N2(g) + H2(g) At equilibrium 1.00 mol of ammonia remains. Calculate the value for K. K = 1.69 Copyright © Cengage Learning. All rights reserved 35 Section 13.6 Solving Equilibrium Problems CONCEPT CHECK! A 1.00 mol sample of N2O4(g) is placed in a 10.0 L vessel and allowed to reach equilibrium according to the equation: N2O4(g) 2NO2(g) K = 4.00 × 10-4 Calculate the equilibrium concentrations of: N2O4(g) and NO2(g). Concentration of N2O4 = 0.097 M Concentration of NO2 = 6.32 × 10-3 M Copyright © Cengage Learning. All rights reserved 36 Section 13.7 Le Châtelier’s Principle If a change is imposed on a system at equilibrium, the position of the equilibrium will shift in a direction that tends to reduce that change. Copyright © Cengage Learning. All rights reserved 37 Section 13.7 Le Châtelier’s Principle Effects of Changes on the System 1. 2. Concentration: The system will shift away from the added component. If a component is removed, the opposite effect occurs. Temperature: K will change depending upon the temperature (endothermic – energy of a reactant; exothermic – energy of a product). N2+H2→2NH3 + 92 KJ Exothermic reaction, and the equilibrium shift to the left. This shift decreases the concentration of ammonia and increases the concentration of nitrogen and hydrogen. It decreases the value of K. 556 KJ + CaCO3(s) →CaO(s) +CO2(g) Endothermic reaction, and the equilibrium shift to the right. This shift increases the concentration CaO and CO2 and decreases the concentration of CaCO3. It increases the value of K. Copyright © Cengage Learning. All rights reserved 38 Section 13.7 Le Châtelier’s Principle Effects of Changes on the System 3. Pressure: a) The system will shift away from the added gaseous component. If a component is removed, the opposite effect occurs. b) Addition of inert gas does not affect the equilibrium position. The addition of inert gas increases the total pressure, but has no effect on the concentration or the partial pressure of the reactant or product. Hence the added molecule do not participate the in the reaction and cannot effect the equilibrium c) Decreasing the volume shifts the equilibrium toward the side with fewer moles of gas. In N2+3H2→2NH3 system will shift to the right, reducing the total number of gaseous molecules present. The opposite is also true. If we increase the volume system will shift to increase the volume . An increase in in volume in ammonia synthesis system will produce a shift to the left to increase the total number of gaseous molecules present. Copyright © Cengage Learning. All rights reserved 39 Section 13.7 Le Châtelier’s Principle To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 40 Section 13.7 Le Châtelier’s Principle Equilibrium Decomposition of N2O4 To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 41