Lesson 13.5 Le Chatelier's Principle Suggested Reading Zumdahl Chapter 13 Section 13.7 Essential Question How is Le Chatelier's principle applied to chemical equilibria? Learning Objectives: State Le Chatelier's principle. Apply Le Chatelier's principle to predict the qualitative effects of changes of temperature, pressure, and concentration on the position of equilibrium and on the equilibrium constant. State and explain the effect of a catalyst on an equilibrium reaction. Apply the concepts of kinetics and equilibrium to industrial processes. Introduction In 1884 the French chemist Henry-Louis Le Chatelier proposed one of the central concepts of chemical equilibria. Le Chatelier's principle can be stated as follows: A change in one of the variables that describe a system at equilibrium produces a shift in the position of the equilibrium that counteracts the effect of this change. Le Chatelier's principle describes what happens to a system when something momentarily takes it away from equilibrium. This section focuses on three ways in which we can change the conditions of a chemical reaction at equilibrium: (1) changing the concentration of one of the components of the reaction (2) changing the pressure on the system (3) changing the temperature at which the reaction is run. Changing Concentrations To illustrate what happens when we change the concentration of one of the reactants or products of a reaction at equilibrium, let's consider the following system at 500oC, N2(g) + 3H2(g) ⇌ 2NH3(g), Kc = 0.040. (Do you remember the name of the process described by this equation?) Concentration (M) N2(g) 2NH3(g) 3H2(g) ⇌ Initial 0.100 0.100 0 Change -x - 3x +2x Equilibrium 0.099 0.097 0.0020 Note that the change in concentration is very small compared to the initial concentrations of N2 and H2. This implies that very little ammonia is actually produced in this reaction. According to this calculation, only 1% of the nitrogen is converted into ammonia. What would happen if we increased the initial concentration of N2 by a factor of 10? The reaction can't be at equilibrium any more because there is too much N2 in the system (Q < K). Adding an excess of one of the reactants therefore places a stress on the system. The system responds by minimizing the effect of this stress by shifting the equilibrium toward the products. The system will continue to make product until the equilibrium position is once again equal to K. Changing Pressure The effect of changing the pressure on a gas-phase reaction depends on the stoichiometry of the reaction. We can demonstrate this by looking at the result of compressing the following reaction at equilibrium. N2(g) + 3H2(g) ⇌ 2NH3(g) Consider a system that initially contains 2.5 atm of N2 and 7.5 atm of H2 at 500oC, where Kp is 1.4 x 10-5 (What does the magnitude of K tell us about the reaction mixture?). If we allow the reaction to come to equilibrium, and then compress the system by a factor of 10, we get the following results. Before Compression After Compression PNH3 = 0.12 atm PN2 = 2.4 atm PH2 = 7.3 atm PNH3 = 8.4 atm PN2 = 21 atm PH2 = 62 atm Before the system was compressed, the partial pressure of NH3 was only a small fraction of the total pressure. After the system is compressed, the partial pressure of NH3 is almost 10% of the total. These data illustrate another application of Le Chatelier's principle. A reaction at equilibrium was subjected to a stress an increase in the total pressure on the system. The reaction then shifted in the direction that minimized the effect of this stress. In this case, the reaction shifted toward the products because this reduced the number of particles in the gas, thereby decreasing the total pressure on the system. Changing Temperature Changing the concentrations of reactants or products shifts the position of the equilibrium, but does not change the equilibrium constant for the reaction. Similarly, a change in the pressure on a gas-phase reaction shifts the position of the equilibrium without changing the magnitude of the equilibrium constant. Changes in temperature do change the magnitude of the equilibrium constant for the reaction. Chemical reactions either release heat to or absorb heat from their surroundings. If we consider heat to be one of the reactants or products of a reaction, we can understand the effect of changes in temperature on the equilibrium. Increasing the temperature of a reaction that gives off heat is the same as adding more product. It places a stress on the reaction, which must be alleviated by converting some of the products back to reactants. Consider the reaction in which NO2 forms N2O4. This reaction is exothermic. 2NO2(g) ⇌ N2O4, ∆H = -57.20 kJ Raising the temperature of this system is equivalent to adding excess product to the system, except no product is actually added, so the equilibrium constant decreases as a result. Similarly, if we add heat to and endothermic reaction, this is the same as adding additional reactant, the equilibrium shifts to the right, and equilibrium constant increases. Since reactant is not actually added, we have a change in the numerator of the equilibrium constant expression without a corresponding change in the denominator, so K must change as a result. Effect of a Catalyst Recall that a catalyst is a substance that increases the rate of a reaction but is not consumed by it. A catalyst has not effect on the position of equilibrium. However, it does affect the rate at which the position of equilibrium is achieved. You learned in chapter 12 that a catalyst works by lowering the activation energy. However, when a system moving towards equilibrium, the catalyst lowers the activation energy for both the forward and the reverse reaction. The result is that equilibrium is achieved more quickly. Watch the following YouTube Video: https://www.youtube.com/watch?v=lzq-31viF-0 Applying Concepts of Kinetics and Equilibrium to the Haber Process and the Contact Process This is an important learning objective within the IB curriculum. However, you should be able to qualitatively apply the concepts of kinetics and equilibrium to any chemical reaction. For the AP exam, make sure you can do so for the following reactions. Haber Process for the production of ammonia, N2(g) + 3H2(g) ⇌ 2NH3(g). The Contact Process for the production of sulfuric acid, 2SO2(g) + O2(g) ⇌ 2SO3(g). Here are a couple of videos to help you learn this stuff. Watch the following YouTube Video: https://www.youtube.com/watch?v=3ifdYcyf54Y Watch the following YouTube Video: https://www.youtube.com/watch?v=3ifdYcyf54Y Homework: Practice exercises 15.13, 15.14 Book questions page 617 questions 57-64