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Honors Chemistry Chapter 18 Notes – Reaction Rates and Equilibrium (Student edition) Chapter 18 problem set: 49-52, 55, 56, 70, 75, 76, 78, 79, 81, 83, 86 18.1 Rates of Reaction Kinetics: the study of how and how Reaction rate: the speed with which a reaction takes place rate = [R] represents the Reaction mechanism: the in a reaction Thermodynamics: the study of in chemical reactions Collision Theory: In order for molecules to react, they must doesn’t guarantee reaction. , but For a reaction to take place, 1. the collisions need enough 2. the particles need proper Reaction Mechanism: The series of We have learned the following: H2 + I2 H = + 26.5 kJ in a reaction. 2 HI However, we now know that it is really: Step 1 I2 Step 2 I + H2 Step 3 H2I + I H2 + I2 2I H2I 2 HI 2 HI : a species that appears in some steps but not in the overall reaction. It is relatively short lived. So, in the above example, H2I is the reaction intermediate. 1 What affects reaction rate? The Nature of Reactants Reaction rates are determined by the type of . Reactants that have ionic bonds react than reactants that have covalent bonds. Temperature and Reaction Rate For every 10 C0 increase, the rate of reaction approximately This is easily explained by there are more (souring milk). . Since particles move faster, and the molecules have more . Concentration of Reactants An Increase in [R] increases reaction rate if it is a homogeneous reaction (all reactants are in the same phase). Ex. 2 H2(g) + O2(g) 2 H2O(g) NaCl(aq) + AgNO3(aq) NaNO3(aq) + AgCl(ppt) Heterogeneous reaction: when the reactants are in more than one phase. Ex. Ex. 4Fe(s) + 3O2(g) 2Fe2O3(s) Again…. [R] leads to rate. This is explained by A B + If we double [A], the rate . C . If we double [B], the rate . If we double the [ ] of both reactants, the rate . Pressure and Reaction Rate Pressure only affects . For gases, if pressure increases, the amount of reactants in an area So, the reaction rate . . 2 Catalysts and Reaction Rate Catalyst: A substance that the reaction. Inhibitor: A substance that Catalysts work by the activation energy (Ea). a reaction, but is not in the rate of reaction. the mechanism of a reaction and Activation Energy and the Activated Complex: Activated Complex New Products Collision Not enough energy to make new products : a short lived structure existing when old bonds are broken and new bonds are being formed. : energy needed to transform reactants into an activated complex. Reactants must have sufficient . 3 Energy Diagrams: 50 h 40 e a 30 t reactants 20 products 10 time Energy of the reactants = Energy of the activated complex = Change in the heat = Energy of the products = Activation energy = The reaction is . 50 h 40 e a 30 t products 20 reactants 10 time Energy of the reactants = Energy of the activated complex = Change in the heat = Energy of the products = Activation energy = The reaction is . 4 Activation Energy – Temperature and Concentration: An increase in temperature equals an increase in . So, the number of particles that can reach the appropriate Ea . # Of P a r t i c l e s T1 kinetic energy Ea # Of P a r t i c l e s T2 kinetic energy Ea 5 Activation Energy and Catalysts: Catalysts lower Ea by changing the . Lower activation energy means more more easily, thereby forming 18.2 can reach the more quickly. Reversible Reactions _Fe3O4(s) + 4 H2(g) 3 Fe(s) This reaction is also possible in + 4 H2O(g) . If water is removed from the vessel, the reaction shifts to the closed container… Fe3O4(s) + H2(g) The double arrows represent Fe(s) + , but if in a H2O(g) . : when the rate of the forward reaction equals rate of the reverse reaction. r a t e r a t e time Forward reaction: Reactants combining to form r a t e time Reverse reaction: Products combining to form time Equilibrium: Reactants forming products forming and 6 : It is used to describe a system undergoing a chemical change. xA + yB zC + aD the mass action expression so for… 2A + B 3C + 2D the mass action expression : It is essentially the same thing as the mass action expression. For… H2 Keq + I2 2 HI = Ex1: At the beginning of a reaction, the Hydrogen concentration is 1.00 M (1 mole/Liter) and so is the Iodine concentration. At equilibrium, [H2] = 0.228 M, [I2] = 0.228 M, and [HI] = 1.544 M. Calculate Keq. Ex2: At the beginning of a reaction, the HI concentration is 1.00 M. At equilibrium, [H2] = 0.114 M, [I2] = 0.114 M, and [HI] = 0.772 M. Calculate Keq. Keq = Note: ( If K1, are favored. If K1, are favored. , ) 7 Applications of Keq Ex1: If the concentration of HI at equilibrium is 0.158 M, what are the concentrations of Hydrogen and Iodine? (Keq = 45.9) Ex2: If the concentration of HI at equilibrium is 1.423 M, what are the concentrations of Hydrogen and Iodine if twice as much Hydrogen was added as Iodine? Ex3: For the reaction…. N2O4 2 NO2 If 1.00 mol of Dinitrogen tetroxide is in a 5.00 dm3 container at 100 C0, it decomposes into Nitrogen dioxide. At equilibrium, 1.00 mole of the product is present in the container. Calculate Keq. [ 8 Le Chatelier’s Principle: We’ve learned before, Keq is a can change. – however, conditions in a reaction Le Chatelier’s Principle: When a system at equilibrium is shifts to that stress. , the system Types of change: 1. [ ] for the reaction: A + B C + D If we increase the amount of A or B, the system shifts to the If we increase the amount of C or D, the system shifts to the If we decrease the amount of C or D, the system shifts to the (a good way to increase !) Shift away from an and towards a . Please note: Keq 2. T The shift depends on whether the reaction is A + B + heat or C For an endothermic reaction, if we increase the amount of heat, the system shifts to the Treat heat like a reactant. It is the for an exothermic reaction. For exothermic reactions, removing heat helps increase Shift away from an and towards a . . . . Please note: Keq 3. P Pressure only affects . An increase in pressure shifts the reaction towards the . 9 For the reaction: A(g) + 3B(g) 2C(g) An increase in pressure will shift the reaction to the A decrease in pressure will shift the reaction to the Please note: Keq 4. Catalysts It has effect on equilibrium. It’s just that the reaction proceeds to equilibrium . 18.3 Solubility Equilibrium Equilibrium is also reached when solids dissolve in water. AgCl(s) + H2O(l) Ag+1(aq) + Cl-1(aq) We don’t count solids or liquid water in K expressions, so… Ksp = Ksp = solubility product constant (only for products) K = more soluble For… Ag2SO4(s) + H2O(l) 2 Ag+1(aq) + SO4-2(aq) Ksp = 10 Ex1: If Ksp for CdS = 1.0 x 10 –28, what is the concentration of each ion? CdS(s) + H2O(l) Cd+2(aq) + S-2(aq) Ex2: If the Ksp for Ag2SO4 = 1.10 x 10-12, calculate the [ ] of each ion. Ex3: If the solubility of BaSO4 is 9.09 g in 100.0 cm3 of water, find Ksp. 18.10 The Common Ion Effect When a slightly soluble solid is dissolved in solution, and another salt with a is added, equilibrium shifts , causing Ex: AgCl (s) Ag+1(aq) + . Cl-1(aq) Ksp = 1.7 x 10 –11 (very ) If we add NaCl…. NaCl(s) Na+1(aq) + Cl-1(aq) Since we add Cl-1, we are increasing the shifts and AgCl . (adding a ) , and the reaction 11 18.4 Entropy and Free Energy In regard to enthalpy, For example; is more favorable ( C8H18 + O2 CO2 ). + H2O + heat However, this is not the only driving force. Entropy (S): the measure of in a system. The higher disorder (more S), the likely the reaction is to occur (messy room, leaves on trees). Systems tend to go towards energy ( ) and randomness ( ). General trends in entropy: s l g g g + g + g temperature = = = Spontaneous reactions take place without outside influence (they can be fast or slow). Ex1: 2 C8H18(l) + 25 O2(g) 16 CO2(g) pieces and Entropy (S) is and enthalpy (H) is CO2(g) + N2(g) + H2O(g) Ex3: H2O (s) + . heat C3H5(ONO2)3(l) heat and enthalpy (H) is Thus, the reaction is heat . pieces and Entropy (S) is + heat Thus, the reaction is Ex2: + 18H2O(g) . . H2O (l) does it happen? Entropy (S) is and enthalpy (H) is . Thus, we determine the spontaneity based on the information given. Gibbs Free energy formula is used to determine the spontaneity. 12 Free energy of a system: G = Gibbs Free Energy (combined enthalpy/entropy function) G = (use temperature) if G is negative, the reaction is Possible combinations of entropy and enthalpy: Spontaneous NonSpontaneous Maybe Maybe Enthalpy Entropy What determines a maybe? Temperature Is this reaction spontaneous? H2O + C CO + H2 H = + 131.3 kJ/mole S = + 0.134 kJ/mole.K at 25 Co How about at 900 Co? 18.5 The Progress of Chemical Reactions – Rate Laws For: A + B rate = C (determined experimentally) If a reaction is one step, then the coefficients equal the exponents. If a reaction is multi step, then the coefficients do not equal exponents. Ex. 2 H2 + 2 NO N2 + 2 H2O If the reaction is one step, the reaction rate formula is … R= 13 However, experiments show: 2 times [ H2 ] = rate increases 2 times 3 times [ H2 ] = rate increases 3 times So, rate is proportional to 2 times [ NO ] = rate increases 4 times 3 times [ NO ] = rate increases 9 times So, rate is proportional to So, the rate is proportional to Thus, the reaction rate formula is … Ex. X + 2Y R= XY2 (a single step reaction) Write the rate law: R= If you double X, the rate . If you double Y, the rate . If Y is reduced to 1/3, the rate is . If X is cut in half and Y is doubled, the rate . Reaction Mechanisms and the Rate of Reaction: Different steps take place at . The slowest step is the step. Increasing the [ R ] in the Ex: So, increasing step increases the rate of reaction. A + B Int1 fast step A + Int1 Int2 slow step C + Int2 D fast step or doesn’t speed up the reaction, but increasing does. 14