Chem 1B Dr. White Saddleback College 1 Experiment 26 - Kinetics Objectives To determine the rate law for the reaction between iodide and bromate under acidic conditions To investigate the effect of temperature on rate To determine the activation energy for the the reaction between iodide and bromate under acidic conditions Introduction This experiment involves the study of the rate properties, or chemical kinetics, of the following reaction between iodide ion and bromate ion under acidic conditions: - - + 6 I (aq) + BrO3 (aq) + 6 H (aq) → 3 I2(aq) + Br (aq) + 3 H2O(l) (Rxn 1) This reaction proceeds at an easily measurable rate that depends on the concentrations of the I , BrO3 , + and H ions according to the rate law. For this reaction, the rate law takes the form - x - y + z rate = k [I ] [BrO3 ] [H ] (1) One of the main purposes of the experiment will be to evaluate the rate constant, k, and the reaction orders x, y, and z for this reaction. We will also investigate the manner in which the reaction rate depends on temperature and will evaluate the activation energy, Ea, for the reaction. Our method for measuring the rate of the reaction involves what is frequently called a "clock" reaction. In addition to Reaction 1, whose kinetics we will study, the following reaction will also be made to occur simultaneously in the reaction flask: 2- - 2- I2(aq) + 2 S2O3 (aq) → 2 I (aq) + S4O6 (aq) (Rxn 2) As compared with Reaction 1, the rate of Reaction € 2 is essentially instantaneous. The I2 produced in Reaction 1 reacts completely and instantaneously 22with S2O3 so that until the S2O3 is used up the concentration of I2 is effectively zero. As soon as the 2S2O3 is used up, the I2 remains in solution and is made evident by the reaction with starch. The reaction of I2 with starch produces a blue color. The appearance of the blue color tells us when a given amount of BrO3 has reacted. We will not calculate the actual amount of BrO3 that has reacted, but use an arbitrary value of 1000. This will give us the € relative rate which is equal to 1000/t, where t is the time it takes to turn blue. In this experiment, we will carry out the reaction - + between BrO3 , I , and H ions under different concentration conditions. Measured amounts of each of these ions in water solution will be mixed in the 2presence of a constant small amount of S2O3 . The time it takes for each mixture to turn blue will be measured. The time obtained for each reaction will be inversely proportional to its rate. By changing the concentration of one reactant and keeping the other concentrations constant, we can investigate how the rate of the reaction varies with the concentration of a particular reactant. Once we know the order for each reactant, we can determine the rate constant for the reaction. This is illustrated in the example below. Example: The kinetics of the following reaction was investigated: 2NO (g) + O2 (g) → 2NO2 (g). The following data were collected: Exp. [O2] (M) [NO] (M) Relative Rate -1 (M⋅s ) 1 0.0010 0.0010 7.1 2 0.0040 0.0010 28.4 3 0.0040 0.0030 255.6 To find the rate law for the reaction we need to use two experiments where the concentration of one reactant is held constant. In experiments 1 and 2 the concentration of NO is constant and the concentration of O2 is changed. Thus using experiments 1 and 2 we can find the reaction order with respect to O2: rate2 k[O2 ]2x [NO]2y k(0.0040 M) x (0.0010 M) y = = rate1 k[O2 ]1x [NO]1y k(0.0010 M) x (0.0010 M) y x 28.4 M ⋅ s −1 ⎛ 0.0040 M ⎞ = ⎜ ⎟ 7.1 M ⋅ s −1 ⎝ 0.0010 M ⎠ 4 = 4x x =1 A similar process is used to determine the rate order with respect to NO: rate3 k[O2 ]3x [NO]3y k(0.0040 M) x (0.0030 M) y = = rate2 k[O2 ]2x [NO]2y k(0.0040 M) x (0.0010 M) y y 255.6 M ⋅ s −1 ⎛ 0.0030 M ⎞ = ⎜ ⎟ 28.4 M ⋅ s −1 ⎝ 0.0010 M ⎠ 9 = 3y y=2 Now that we know x and y, we can use the rate law to determine the rate constant: Chem 1B Dr. White 2 € rate = k[O2 ][NO] rate k= [O2 ][NO]2 Using experiment 1, 7.1 M/s k= = 7.1x10 9 M -2 s -1 [0.0010 M][0.0010 M]2 In the second part of the experiment we will investigate how the rate of the reaction depends on temperature. In general the rate increases sharply with temperature. By measuring how the rate varies with temperature we can determine the activation energy (Ea), the minimum energy required for the reaction to occur, by making use of the Arrhenius equation: ln k = − E a ⎛ 1 ⎞ ⎜ ⎟ + ln A R ⎝ T ⎠ (2) In this equation, k is the rate constant at the Kelvin temperature T, Ea is the activation energy, A is € constant for a given reaction and R is the gas another constant. By plotting ln(k) against 1/T we should obtain, by Equation 2, a straight line whose slope equals -Ea/R. From the slope of that line, we can easily calculate the activation energy. Saddleback College 2 Chem 1B Dr. White Procedure Part 1: Dependence of Reaction Concentration Rate on See the tables below. Except for the indicated amounts of solutions used, the 5 trials will follow the same procedure. 1. Use the following procedure for each trial. Between trials, rinse the flask with DI water and shake out the extra water. a. Measure into the 2 different flasks (Flask I and Flask II) the reagents shown in the tables. Use graduated cylinders to measure all the reagents. b. Have a thermometer and a stopwatch ready. Pour the contents of Reaction Flask II into Reaction Flask I and immediately start the stopwatch. Swirl the reaction flask. The instant the mixture turns blue, stop the stopwatch. Record the elapsed time of the run in seconds. Measure and record the temperature. Table 1: Volumes and reagents for Reaction Flask I (125 mL) Reaction Mixture 1 2 3 4 5 Volume of 0.010 M KI (mL) 5 10 5 5 4 Volume of 0.0010 M Na2S2O3 (mL) 5 5 5 5 5 Volume of H2O (mL) 5 0 0 0 6 Table 2: Volumes and reagents for Reaction Flask II (125 mL) Reaction Mixture 1 2 3 4 5 Volume of 0.040 M KBrO3 (mL) Volume of 0.10 M HCl (mL) 5 5 10 5 2.5 5 5 5 10 7.5 Starch Indicator 3 drops 3 drops 3 drops 3 drops 3 drops Part 2: Dependence of Reaction Rate on Temperature 1. In this part of the experiment, use reaction mixture 1 and follow the instructions above. However, the reaction mixtures will be at the following temperatures: about 0°C, about 10°C, and about 40°C. Record the actual temperature for each trial. Saddleback College 3 a. 0°C: Use ice to cool your reaction flasks to 0°C. Leave the flasks in the ice for about five minutes before you start the trial and during the reaction. b. 10°C: Use a plastic tray with cool water to get the solutions to about 10°C. Leave the flasks in the water for about five minutes before you start the trial and during the reaction. c. 40°C: Use the one of the thermostatted baths set up for the trial at 40°C. Leave the flasks in the water for about five minutes before you start the trial and during the reaction. 2. Prepare an Arrhenius plot on Excel so that the activation energy can be determined. Chem 1B Dr. White Saddleback College Name: ___________________________ 4 Lab Day/Time: ______________ Partner: ___________________________ Experiment 26: Kinetics Data and Results Part 1: Rate Law Reaction Time, t, for Mixture Color Change (s) 1 2 3 4 5 Relative Rate (1000/t) [I-] (M) [BrO3-] (M) [H+] (M) Temperature (°C) Show how you determined the [I-] for Reaction Mixture 1 (it is diluted from the given stock solution by mixing all the reagents together): Show how you determined the [BrO3-] for Reaction Mixture 1 (it is diluted from the given stock solution by mixing all the reagents together): Show how you determined the [H+] for Reaction Mixture 1 (it is diluted from the given stock solution by mixing all the reagents together): Determine the value of the reaction order x. Show your work below. Determine the value of the reaction order y. Show your work below. Chem 1B Dr. White Saddleback College Determine the value of the reaction order z. Show your work below. Write the General Rate Law: ________________________ Determine the Rate constant for each trial and fill in the following table (include the units of k): Reaction Mixture 1 2 3 4 5 Average Show your calculation for trial 1 below: k ( ) Briefly explain why k should have nearly the same value for each of the reactions. For Reaction Mixture 5, use the average k and the appropriate concentrations to predict (calculate) the relative rate. Then use this value to predict (calculate) the reaction time, t, for Mixture 5. Show your calculations below. relative ratepredicted________ tpredicted________ tobserved________ 5 Chem 1B Dr. White Saddleback College 6 Calculate the percent difference of your reaction times. % Difference = _________________ Part 2: Temperature Effects Approximate Actual Time t for Temperature Temperature Color (°C) (°C) Change (s) Your Data: 0°C 10°C 20°C* 40°C *Data from Reaction Mixture 1 in part 1. Relative Rate (1000/t) k ln k 1/T (K-1) Attach a copy of your Arrhenius Plot made in Excel. Line of best fit from your Arrhenius Plot:______________________ Determine the activation energy (in kJ/mol) and show your calculation below. ________________ Chem 1B Dr. White Saddleback College 7 Experiment 26: Kinetics Postlab Questions 1. A student studied the clock reaction described in this experiment. She set up a reaction mixture by mixing 10.0 mL of 0.010 M KI, 10.0 mL of 0.0010 M Na2S2O3, 20.0 mL of 0.040 M KBrO3 and 10.0 mL of 0.10 M HCl using the procedure given. It took 40.0 seconds for the color to turn blue. a. She found the concentration of each reactant in the reacting mixture by realizing that the number of moles of each reactant did not change when that reactant was mixed with the others, but that its concentration did. The volume of the mixture was 50.0 mL. Find the concentration of each reactant. - - + [I ] = __________M; [BrO3 ] = __________M; [H ] = __________M b. What is the relative rate of the reaction (1000/t)?___________________ c. The student did a second trial in which she changed the amount of one reagent. She mixed 10.0 mL of 0.010 M KI, 10.0 mL of 0.0010 M Na2S2O3, 10.0 mL of 0.040 M KBrO3, 10.0 mL of 0.10 M HCl and 10.0 mL of H2O. It took 81.0 seconds to turn blue. Find the concentration of each reactant after mixing: - - + [I ] = __________M; [BrO3 ] = __________M; [H ] = __________M d. What is the relative rate of the reaction in the second trial(1000/t)?_____________ - e. Use the information from the two trials above to determine the order with respect to BrO3 . n = _________(nearest integer)
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