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Equilibrium Dynamic Equilibrium in Chemical Systems What is Equilibrium? Dynamic equilibrium is defined as a balance between forward and reverse processes occurring at the same rate. Example The forward “running” process is balancing the reverse “treadmill” process with the result being the person staying in one spot. A change in any of these processes (ie. the person slowing down) will result in a shift in equililibrium (ie. The person getting closer to the edge) Equilibrium in Chemical Systems When observing changes in chemical systems, it is important to have a closed system (matter is contained, however energy is free to enter/leave the system). An aqueous solution in a test tube is a closed system only if no gases are used or produced in the system. Equilibrium in Chemical Systems Equilibrium is represented by a sign. For simplicity reasons, I will be using “” The left arrow represents the reverse reaction and the right arrow represents the forward reaction. Types of Equilibrium Solubility Equilibrium A dynamic equilibrium between a solute and a solvent in a saturated system. Ie. NaCl(s)Na(aq) + Cl(aq) The rate of dissolution is equal to the rate of crystallization Types of Equilibrium Phase Equilibrium a dynamic equilibrium between different physical states of pure substance in a closed system Ie. H2O(l) H2O(s) at 0°C The rate of freezing is equal to the rate of melting (slush) Types of Equilibrium Chemical Reaction Equilibrium a dynamic equilibrium between reactants and products of a chemical reaction in a closed system. Some Reactions will always go to completion (all reactants used up to form products) and such are called quantitative reactions. Chemical Reaction Equilibrium When a chemical reaction occurs, we often think that the products formed are permanent, however all reactions are reversible under the correct conditions. Some reasons why reactions go to completion are: The reverse activation energy is too high (eg. Exothermic reactions) A gas is formed and released because of an open system. As product is formed it is removed thereby not allowing an equilibrium to be reached Example of Chemical Reaction Equilibrium Decomposition of Dinitrogen tetroxide N2O4(g)2NO2(g) Classes of Chemical Reactions at Equilibrium Calculating Concentrations at Equilibrium Example 1 Consider the following equation for the formation of hydrogen fluoride from its elements at SATP; H2(g) + F2(g) 2 HF(g) If the reaction begins with 1.00 mol/L concentrations of H2(g) and F2(g) and no HF(g), calculate the concentrations of H2(g) and HF(g) at equilibrium if the equilibrium concentration of F2(g) is measured to be 0.24 mol/L. Calculating Concentrations at Equilibrium List given information [H2(g)]initial = 1.00 mol/L [F2(g)]initial = 1.00 mol/L [HF(g)]initial = 0.00 mol/L [F2(g)]equilibrium = 0.24 mol/L Calculating Concentrations at Equilibrium Setup ICE tables (Initial Conc., Change in Conc, and Equilibrium Conc.) Calculating Concentrations at Equilibrium We know that the change from reactants to products occurs at a ratio of 1:1:2 based on the balanced equation. We do not know however how much reactant has been changed into product. We will choose a variable to represent the change in concentration (x) Calculating Concentrations at Equilibrium With this in mind our ICE table looks like: Calculating Concentrations at Equilibrium [F2(g)]equilibrium = 0.24 mol/L 1.00 mol/L – x = 0.24 mol/L x = 0.76 mol/L [H2(g)] = 1.00 mol/L - x 1.00 mol/L - 0.76 mol/L [H2(g)] = 0.24 mol/L [HF(g)] = 2x 2(0.76 mol/L) [HF(g)] = 1.52 mol/L Example 2 When ammonia is heated, it decomposes into nitrogen gas and hydrogen gas according to the following equation. 2 NH3(g) N2(g) + 3 H2(g) When 4.0 mol of NH3(g) is introduced into a 2.0 L rigid container and heated to a particular temperature, the amount of ammonia changes as show in the following figure. Determine the equilibrium concentrations of the other two entities. Example 2 ICE table Through Calculations: X = 0.5 mol/L [NH3(g)] = 1.0 mol/L [N2(g)] = 0.5 mol/L [H2(g)] = 1.5 mol/L Example 3 In a gaseous reaction system, 0.200 mol of hydrogen gas, H2(g) is added to 0.200 mol of iodine vapour, I2(g), in a rigid 2.00 L container at 448oC. At equilibrium the system contains 0.040 mol of hydrogen gas, H2(g). Determine the equilibrium concentrations of H2(g) and HI(g). Example 3 ICE table Through Calculations X = 0.080 mol/L [I2(g)] = 0.020 mol/L [HI(g)] = 0.160 mol/L Homework p. 428 # 1-5 p. 437 (top) # 6, 7 and p. 437 (bottom) # 1-4, 7a, 7b, 8