Finding orders of reaction from graph. Zero order reaction Rate = k [A]0 1. Changing the concentration of reactants will not affect the rate of reaction. 2. First-order reaction Rate = k [A] Doubling [reactant] will double the rate of reaction. Half-life, t1/2 is the time for the [reactant] to be halved. The [reactant] vs. time graph is a curve with a constant half-life. the half-life of first-order reaction is independent of concentration. For any other order, the half-life is not constant. 3. Second-order reaction. Rate = k [A]2 t3 > t2 > t1 Doubling [reactant] will increase the rate of reaction four fold. Determination of a rate equation Using Half-Life 11.3.2.7 be able to investigate how the rate of a reaction changes with changing conditions 11.3.2.8 be able to carry out simple calculations of rates and rate constants Success criteria • represents the rate of chemical reaction using the equation of speed; • knows the general equation of speed and can determine the order of reaction graphically and the method of initial velocities; • characterizes the meaning of the rate constant. Terminology rate of reaction concentration half-life order of reaction реакция жылдамдығы концентрациясы жартылай ыдырау мерзімі реакция тәртібі cкорость реакции концентрация период полураспада порядок реакции Calculations using half-life of a first-order reaction. Example : First-order reaction of catalytic decomposition of H2O2. 2H2O2(aq) 2H2O(l) + O2(g) 1. Calculate the half-life of this reaction. 2. Show that the reaction is a first-order reaction. 3. How long will it take for the concentration of H2O2 to 0.025 mol dm-3? become 2. Plot a graph of concentration of R (y-axis) against time (x-axis). Use the graph to determine the order of the reaction, and give an average value for the half-life of the reaction. Time / s 0 150 300 450 750 1150 1450 1750 [R]/mol dm-3 1.000 0.812 0.659 0.535 0.353 0.202 0.133 0.088 Calculation involving experimental & graphical methods. E.g : RBr + NaOH ROH + Na+Br The order of reaction may be deduced by plotting graphs of [RBr] vs. time. #CStoh 88 graph Individual work • read the book (p.332) Graphical determination of the reaction order by half-life Catalysis Homogeneous Catalyst Heterogeneous 1. Homogeneous Catalysis Both catalyst and reactant are in the same physical state. Many homogeneous catalyst are transition metal ion, which act as a catalyst by varying their oxidation states. The homogeneous catalyst takes part in the reaction forms intermediate Increase concentration of catalyst will increase the speed of ratedetermining step. E.g 1 : Oxidation of I-(aq) by S2O82-(aq) Uncatalysed reaction : S2O82-(aq) + 2I-(aq) 2SO42-(aq) + I2(aq) Reaction is kinetically slow due to high Ea. Reaction catalysed by Fe3+ ions : Step 1 : 2Fe3+ + 2I- 2Fe2+ + I2 Step 2 : 2Fe2+ + S2O82- 2Fe3+ + 2SO42- The reaction can also be catalysed by Fe2+(aq). Step 1 : 2Fe2+ + S2O82- 2Fe3+ + 2SO42 Step 2 : 2Fe3+ + 2I- 2Fe2+ + I2 Rate of reaction is faster in a catalysed reaction due to reaction involving oppositely charged ions. E.g 2 : Catalytic oxidation of atmospheric SO2 by atmospheric oxides of nitrogen. When SO2 reacts with water in the atmosphere, it produces H2SO4 (acid rain). This reaction is catalysed by NO2 from the car exhaust fumes. Step 1 : SO2 + NO2 SO3 + NO Step 2 : SO3 + H2O H2SO4 Step 3 : 2NO + O2 2NO2 Nitrogen act as a catalyst by varying its oxidation state form +4 to +2 and back to +4. 2. Heterogeneous Catalysis. Catalyst and reactants are in different physical states. Heterogeneous catalyst are usually d-block transition elements. Works by providing a surface onto which reactants adsorbed and products of the reaction are desorbed. Its catalytic activity depends on the availability of partially filled 3d orbitals which allows reactants molecules to be adsorbed onto catalyst surface. The adsorption weakens the bond in the reactant molecule lowers Ea and increase surface concentration of reactants. Reactant molecules are brought closer together rate of reaction increase. E.g 1 : Haber process. Catalyst : Finely divided solid iron. 3H2(g) + H2(g) 2NH3(g) H2 and N2 molecules adsorbs on catalyst surface forming weak bonds with catalyst surface and weakens bond within the H2 and N2 molecules (easily broken). More easily form new bond with each other and form NH3. Ea decreases, rate of reaction increases. The NH3 molecules desorbs form the catalyst surface. Other examples of heterogeneous catalysis : a) V2O5 as catalyst in Contact process. b) Ni as catalyst in hydrogenation of alkene. Autocatalysis Autocatalyst a product of a chemical reaction that acts as a catalyst. Autocatalysed reaction is slow at first and becomes more rapid with time (catalyst produced). E.g : reaction of acidified KMnO4 with ethanedioate ions. 2MnO4- + 5C2O42- + 16H+ 2Mn2+ + 10CO2 + 8H2O Mn2+ ion as autocatalyst. The concentration of catalyst increases with time. Individual work • Creating a mental map on the topic "The speed of a chemical reaction" Success Criteria: - colorfully reflects the influence of various factors on the speed of a chemical reaction; - presents graphs for reactions of different order; - reflects the main calculation formulas. Reflection • What has been learned • What remained unclear • What is necessary to work on