Teacher Notes
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Teacher Notes![]() Kinetics of a ReactionStudent Laboratory KitMaterials Included In KitCupric nitrate solution, Cu(NO3)2, 0.1 M, 75 mL Additional Materials RequiredWater, distilled or deionized, H2O, 75 mL Prelab PreparationPotassium iodide solution, 0.010 M: To prepare 100 mL of 0.010 M potassium iodide, KI, dissolve 0.17 grams of KI in approximately 50 mL of distilled water. Dilute to 100 mL with distilled water and mix. Five milliliters is sufficient for a team of two students. Preparing 100 mL will give enough solution for 20 students working in pairs. Potassium iodide solution does not keep well and should be prepared fresh. Starch solution, 2%: Prepare 100 mL of starch solution by making a smooth paste of 2 g soluble starch and 10 mL distilled water. Pour the paste into 90 mL of boiling water while stirring. Cool to room temperature before using. Starch solution has a poor shelf life. Dispose of it after the experiment, as it will form mold if kept too long. Prepare fresh for use. Five milliliters is sufficient for a team of two students. Preparing 100 mL will give enough solution for 20 students working in pairs. Safety PrecautionsDilute hydrochloric acid solution is severely irritating to skin and eyes and is slightly toxic by ingestion and inhalation. Dilute copper(II) nitrate solution is irritating to skin, eyes and mucous membranes and slightly toxic by ingestion. Dilute potassium bromate solution is irritating to body tissue and slightly toxic by ingestion. Wear chemical splash goggles, chemical-resistant gloves and a chemical-resistant apron. Wash hands thoroughly with soap and water before leaving the laboratory. Please consult current Safety Data Sheets for additional safety information. DisposalPlease consult your current Flinn Scientific Catalog/Reference Manual for general guidelines and specific procedures, and review all federal, state and local regulations that may apply, before proceeding. All reaction solutions, the starch solution, the potassium iodide solution, the copper(II) nitrate solution and the potassium bromate solution may be disposed of according to Flinn Suggested Disposal Method #26b. Any solid starch and potassium iodide may be disposed of according to Flinn Suggested Disposal Method #26a. The hydrochloric acid solution may be disposed of according to Flinn Suggested Disposal Method #24b. The sodium thiosulfate solution may be disposed of according to Flinn Suggested Disposal Method #12b. Lab Hints
Teacher Tips
Correlation to Next Generation Science Standards (NGSS)†Science & Engineering PracticesPlanning and carrying out investigationsDeveloping and using models Obtaining, evaluation, and communicating information Analyzing and interpreting data Using mathematics and computational thinking Disciplinary Core IdeasHS-PS1.A: Structure and Properties of MatterHS-PS3.A: Definitions of Energy HS-PS2.B: Types of Interactions Crosscutting ConceptsEnergy and matterStructure and function Patterns Systems and system models Performance ExpectationsHS-PS1-5. Apply scientific principles and evidence to provide an explanation about the effects of changing the temperature or concentration of the reacting particles on the rate at which a reaction occurs. Answers to Prelab QuestionsAnother version of the iodine clock reaction involves reaction of iodide ions with persulfate ions (Reaction 3). {10533_PreLab_Reaction_3}
The following rate data were collected by measuring the time required for the appearance of the blue color due to the iodine-starch complex. {10533_PreLab_Figure_2}
Trial 1: Rate = 0.0020 M/270 sec = 7.4 x 10–6 M/sec
In trials 1 and 2, the concentration of persulfate ions was held constant, while the concentration of iodide ions was doubled. The rate increased by a factor of two when [I–] was doubled. The reaction is first order in iodide.
Comparing the rates of trials 1 and 3 will show how the rate of the reaction depends on the concentration of persulfate ions. In trials 1 and 3, the concentration of iodide ions was held constant while the concentration of persulfate ions was doubled. The rate increased by a factor of two when [S2O82–] was doubled. The reaction is first order in persulfate.
Rate = k[I–][S2O82–] The rate law cannot be predicted simply by looking at the balanced chemical equation—the exponents are not the same as the coefficients in the balanced equation. Sample DataPart 1. Find the Volume of One Drop of Solution {10533_Data_Table_9}
Part 2. Determine the Reaction Rate and Calculate the Rate Law {10533_Data_Table_10}
Part 3. Determine the Activation Energy {10533_Data_Table_11}
Part 4. Observe the Effect of a Catalyst on the Rate {10533_Data_Table_12}
To observe the effect of the catalyst, compare the reaction times for the uncatalyzed experiment (Experiment 1 from Part 2) and the catalyzed reaction. The uncatalyzed time was 173 seconds, while the catalyzed time was 52 seconds, indicating that the reaction occurred about 3.3 times faster with the catalyst. Calculations Part 1. Calculate the Volume of One Drop of Solution {10533_Data_Equation_4}
Part 2A. Calculate the Rate The rate will be expressed as –Δ[BrO3–]/Δt. In each reaction there is one drop of 0.0010 M Na2S2O3 solution. Calculate the number of moles of S2O32– present in one drop: {10533_Data_Equation_5}
The blue color begins to appear when all the thiosulfate ion is consumed. Examination of reactions (1) and (2) allows us to calculate the moles of BrO3– which react as all of the S2O32– ion is used up: {10533_Data_Equation_6}
The value of –Δ[BrO3–] in all reactions, since all experiments have a total volume of 12 drops, is: {10533_Answers_Equation_7}
The rate of each reaction can be found by dividing –Δ[BrO3–] by the number of seconds for the reaction to take place. Calculate the rate of reaction in each experiment and enter into the data table which follows. Use the average data for each experiment. Moles of S2O32– {10533_Data_Equation_8}
{10533_Data_Equation_9}
moles S2O32– = 1.9 x 10–8 moles S2O32– Moles of BrO3– {10533_Data_Equation_10}
{10533_Data_Equation_11}
moles BrO3– reacted = 3.2 x 10–9 moles BrO3– –Δ[BrO3–] {10533_Data_Equation_12}
{10533_Data_Equation_13}
{10533_Data_Equation_14}
Rate Find the rate of each reaction by dividing –Δ[BrO3–] by the number of seconds it took for the reaction to occur. A sample calculation for Experiment 1 is given below. For each calculation, the average time for each experiment from Data Table 2 was used. {10533_Data_Equation_15}
{10533_Data_Table_13}
Part 2B. Calculate Initial Concentrations Calculate the initial concentration of each reactant for each experiment. This will not be the same as the concentration of the starting solution because combining the reactants dilutes all of the solutions. On dilution, the number of moles of reactant stays the same, Therefore: no. moles = Vconcentrated x Mconcentrated = Vdilute x Mdilute where Vconcentrated and Mconcentrated are the volume and molarity of the starting, concentrated solutions, and Vdilute and Mdilute are the volume and molarity of the diluted reaction mixtures. Since volumes will be proportional to the number of drops of solution used, the number of drops substitute for volumes. For example, in Experiment 1 the initial [I–] is found in this way: {10533_Data_Equation_16}
Find the initial concentration of each reactant and record in the data table. {10533_Data_Table_14}
Part 2C. Calculate the Order of Each Reactant Next, the values for the exponents x, y and z need to be determined. The experiment is designed so that the concentration of one ion changes while the others remain constant. Comparing values in Experiments 1, 2 and 3, we see that Experiment 2 has double the I– concentration as Experiment 1, and Experiment 3 has triple the I– concentration as Experiment 1. Rate = k[I–]x[BrO3–]y[H+]z Exp. 1: Rate1 ______ = k[ ]x [ ]y [ ]z Exp. 2: Rate2 ______ = k[ ]x [ ]y [ ]z Divide the first equation by the second. Notice that most of the terms will cancel out and the ratio reduces to: {10533_Data_Equation_17}
Divide and solve for x. Report the value of x to the nearest integer. Repeat the calculations using Experiments 1 and 3 to confirm the value for x. Note To solve for an exponential value, take the logarithm of both sides of the equation. For example: 8 = 2n log 8 = n log 2 {10533_Data_Equation_18}
Next use the same procedure with Experiments 1, 4 and 5 to find the value of y. Lastly, use Experiments 1, 6 and 7 to find the value of z. Show how the calculations are carried out.
Rate = k[I–]x[BrO3–]y[H+]z {10533_Data_Equation_19}
{10533_Data_Equation_20}
0.48 = 0.50x log 0.48 = x log 0.50 {10533_Data_Equation_21}
Comparison of Experiments 1 and 3 yields x = 1.0. {10533_Data_Figure_5}
Rate = k[I–]x[BrO3–]y[H+]z {10533_Data_Equation_22}
{10533_Data_Equation_23}
0.51 = 0.52y {10533_Data_Equation_24}
Comparison of Experiments 1 and 5 yields y = 0.94. {10533_Data_Figure_6}
Rate = k[I–]x[BrO3–]y[H+]z {10533_Data_Equation_25}
{10533_Data_Equation_26}
0.25 = 0.52z log 0.25 = z log 0.52 {10533_Data_Equation_27}
Comparison of Experiments 1 and 7 yields z = 2.0. {10533_Data_Figure_7}
Part 2D. Find the Rate Constant Substitute data from each experiment into the rate law equation to find the value of k. Report the average value of k. Don’t forget to include proper units for k. A sample calculation for Experiment 1 is given. Experiment 1: Rate = k[I–]x[BrO3–]y[H+]2 {10533_Data_Equation_28}
{10533_Data_Equation_29}
{10533_Data_Table_15}
Average value of k = 25 M–3s–1 Part 3. Calculate the Activation Energy, Ea Using the data from Part 3, calculate the values listed in the table below for each measured temperature. {10533_Data_Table_16}
Part 3A. Calculation of the Rates Determine the rate of each reaction dividing –Δ[BrO3–] by the average reaction time, just as in Part 2A. From Part 2A, –Δ[BrO3–] = 1.4 x 10–5 M for each reaction. A sample calculation for the experiment at approximately 0 °C is given. {10533_Data_Equation_30}
Rate = 4.8 x 10–8 M/s Part 3B. Calculation of the Rate Constant Calculate the rate constant for each reaction as in Part 2D, using the rates calculated above, the initial concentrations listed in Part 2B, and the orders for each reactant determined in Part 2C. A sample calculation for the experiment at approximately 0 °C is given. Rate = k[I–][BrO3–][H+]2 {10533_Data_Equation_31}
{10533_Data_Equation_32}
Part 3C. Calculation of the Activation Energy Graph the natural logarithm of the rate constant, ln k, on the vertical axis versus 1/T (temperature in the Kelvin scale) on the horizontal axis. Draw a straight line that is closest to the most points, and determine the slope of the line. Use the data points at (1/277 K) and (1/303 K) to calculate the slope because they lie closest to the line. The slope = –Ea/R, where Ea is the activation energy and R = 8.314 J/mol•K, to calculate the activation energy for the reaction. {10533_Data_Figure_8}
{10533_Data_Equation_33}
Slope = –Ea/R Answers to Questions
Reactions occur because of collisions of particles. As the concentrations of particles increase, the number of collisions also increases, and so the reaction occurs more rapidly. This is only true if the particles occur in the rate law.
In the experiment the concentration of each individual reactant is varied, and the rate of the reaction determined. This allows the calculation of the order of each reactant. After the orders of reactants are known, the values are inserted into the rate law to calculate the rate constant.
Reaction rates increase as the temperature rises because molecules are moving faster at higher temperatures. This means that molecules collide more frequently, and more importantly, a greater number of molecules possess the necessary kinetic energy to overcome the activation energy barrier and react to form products.
The determination of activation energy is based on the Arrhenius equation: ln k =(–Ea/RT) + ln A. This equation corresponds to the straight line equation: y = mx + b. If a graph is made plotting ln k on the y-axis and 1/T on the x-axis, a straight line should result with –Ea/R as the slope and ln A as the y intercept.
The reaction rate is the rate of change in concentration of a reactant versus the time the reaction has proceeded. Reaction rates almost always change as reactions proceed. The rate constant, k, is a constant which allows the calculation of the rate if the concentrations of reactants are known and the rate law is known.
The catalyst decreased the time of reaction from 173 seconds to 52 seconds. A catalyst works by providing a different reaction mechanism in which the activation energy is lowered, so that more molecules are able to collide with sufficient kinetic energy to overcome the activation energy barrier and react to form products.
The data were fairly consistent, giving values close to integers for the orders of the reactants. The check of the reaction orders with Experiment 8 agreed within 7%. There was more scatter in the graphical analysis calculating activation energy. The difficulty in being sure of a constant temperature is probably responsible for this difference. DiscussionAP Standards: This lab fulfills the requirements for the College Board Recommended AP Experiment 12: Determination of the Rate of Reaction and Its Order. Recommended Products |
Student Pages
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Student Pages![]() Kinetics of a ReactionIntroductionHow fast will a chemical reaction occur? If a reaction is too slow, it may not be practical. If the reaction is too fast, it may explode. Measuring and controlling reaction rates makes it possible for chemists and engineers to make a variety of products, everything from antibiotics to fertilizers, in a safe and economical manner. The purpose of this experiment is to investigate how the rate of a reaction can be measured and how reaction conditions affect reaction rates. Concepts
BackgroundThis experiment is designed to study the kinetics of a chemical reaction. The reaction involves the oxidation of iodide ions by bromate ions in the presence of acid: {10533_Background_Reaction_1}
The reaction is somewhat slow at room temperature. The reaction rate depends on the concentration of the reactants and on the temperature. The rate law for the reaction is a mathematical expression that relates the reaction rate to the concentrations of reactants. If the rate of reaction is expressed as the rate of decrease in concentration of bromate ion, the rate law has the form: {10533_Background_Equation_1}
where the square brackets refer to the molar concentration of the indicated species. The rate is equal to the change in concentration of the bromate ion, –Δ[BrO3–], divided by the change in time for the reaction to occur, Δt. The term “k” is the rate constant for the equation, which changes as the temperature changes. The exponents x, y and z are called the “orders” of the reaction with respect to the indicated substance, and show how the concentration of each substance affects the rate of reaction. The total rate law for the process is determined by measuring the rate, evaluating the rate constant, k, and determining the order of the reaction for each reactant (the values of x, y and z). To find the rate of the reaction a method is needed to measure the rate at which one of the reactants is used up, or the rate at which one of the products is formed. In this experiment, the rate of reaction will be measured based on the rate at which iodine forms. The reaction will be carried out in the presence of thiosulfate ions, which will react with iodine as it forms: {10533_Background_Reaction_2}
Reaction 1 is somewhat slow. Reaction 2 is extremely rapid, so that as quickly as iodine is produced in reaction 1, it is consumed in reaction 2. Reaction 2 continues until all of the added thiosulfate has been used up. After that, iodine begins to increase in concentration in solution. If some starch is present, iodine reacts with the starch to form a deep blue–colored complex that is readily apparent. Carrying out reaction 1 in the presence of thiosulfate ion and starch produces a chemical “clock.”When the thiosulfate is consumed, the solution turns blue almost instantly. In this laboratory procedure, all of the reactions use the same quantity of thiosulfate ion. The blue color appears when all the thiosulfate is consumed. An examination of reactions 1 and 2 shows that six moles of S2O32– are needed to react with the three moles of I2 formed from the reaction of one mole of BrO3–. Knowing the amount of thiosulfate used, it is possible to calculate both the amount of I2 that is formed and the amount of BrO3– that has reacted at the time of the color change. The reaction rate is expressed as the decrease in concentration of BrO3– ion divided by the time it takes for the blue color to appear. There is an energy barrier that all reactants must surmount for a reaction to take place. This energy can range from almost zero to many hundreds of kJ/mol. This energy barrier is called the activation energy, Ea. {10533_Background_Figure_1}
Reactants need to possess this amount of energy both to overcome the repulsive electron cloud forces between approaching molecules and to break the existing bonds in the reacting molecules. In general, the higher the activation energy, the slower the reaction. The activation energy is related to the rate constant by the Arrhenius equation: {10533_Background_Equation_2}
Where A is the frequency constant and is related to the frequency of collisions, R is the universal gas constant, and T is the temperature in K. Catalysts are substances that speed up a reaction, but are not consumed in the reaction. Catalysts work by lowering the overall activation energy of the reaction, thus increasing the rate of the reaction. The experiment is designed so that the amounts of the reactants that are consumed are small in comparison with the total quantities present. This means that the concentration of reactants is almost unchanged during the reaction, and therefore the reaction rate is almost a constant during this time. The experiment utilizes a microscale procedure. Only 12 drops of reactants delivered from capillary droppers are used for each measurement. A special microscale “shakedown” technique is used to mix the reactants. The steps involved are as follows: Part 1. Measure the volume of a drop of solution. This must be done to determine the number of moles of thiosulfate ion in one drop. This will allow the moles of bromate ions that react to be calculated. Part 2. Determine the reaction rate and calculate the rate law. This is done by carrying out an experiment at specific concentrations of each of the reactants and measuring the reaction rate. The concentration of one reactant is then changed and the reaction rate change is observed. This is repeated for each reactant. This data allows the calculation of the order of each reactant. Once the orders are known, the value of the rate constant can be determined. Part 3. Determine the activation energy. Reaction rates generally increase as the temperature goes up. By measuring how the rate changes as the temperature is varied, the activation energy, Ea, for the reaction can be calculated. The natural log of the Arrhenius equation is: {10533_Background_Equation_3}
where ln k is the natural logarithm of the rate constant, Ea is the activation energy, R is the gas constant, 8.314 J/mol•K, and T is the temperature on the kelvin scale. A is the frequency factor. This equation follows the straight line relationship: y = mx + b. A plot of the natural logarithm of k versus 1/T will give a straight line graph. The slope of the graph is –Ea/R. By determining the slope, the activation energy can be calculated. Part 4. Observe the effect of a catalyst on the rate of the reaction. The catalyst used is copper(II) nitrate solution. Experiment OverviewThe purpose of this experiment is to utilize a microscale technique to determine the total rate law for the oxidation of iodide ions by bromate ions in the presence of acid: {10533_Background_Reaction_1}
There are several steps in the experiment. First, the order for each of the reactants is found by varying the concentration of each reactant individually. Once the orders are known, the rate constant is calculated. Second, the activation energy is found by repeating the experiment at several different temperatures, measuring the rate, and calculating the rate constants at the different temperatures. A graph of the reciprocal of absolute temperature versus the natural logarithm of the rate constant allows the calculation of the activation energy. Last, a catalyst is added and the change in reaction rate is observed. MaterialsCupric nitrate solution, Cu(NO3)2, 0.1 M, 5 mL Prelab QuestionsAnother version of the iodine clock reaction involves reaction of iodide ions with persulfate ions (Reaction 3). {10533_PreLab_Reaction_3}
The following rate data was collected by measuring the time required for the appearance of the blue color due to the iodine–starch complex. {10533_PreLab_Figure_2}
Safety PrecautionsDilute hydrochloric acid solution is severely irritating to skin and eyes and is slightly toxic by ingestion and inhalation. Dilute copper(II) nitrate solution is irritating to skin, eyes and mucous membranes and slightly toxic by ingestion. Dilute potassium bromate solution is irritating to body tissue and slightly toxic by ingestion. Wear chemical splash goggles, chemical-resistant gloves and a chemical-resistant apron. Wash hands thoroughly with soap and water before leaving the laboratory. ProcedurePart 1. Find the Volume of One Drop of Solution
Part 2. Determine the Reaction Rate and Calculate the Rate Law It is necessary to use consistently good technique to obtain reproducible data. Hold pipets vertically and be sure no air bubbles are introduced. Since such small quantities of reagents are used, it is very easy to repeat measurements. Calculation of the orders of reactants are all based on the values obtained for the first experiment, so be sure to get reproducible data from the beginning. All other experiments should be carried out at least twice. Table 1 shows the reagent quantities to be used in carrying out the reactions needed. It is important to use care in measuring out the solutions. Since the total solution volume is quite small, even one extra drop can cause a substantial change in concentrations. {10533_Procedure_Table_1_Reagent Quantities for Experiments}
{10533_Procedure_Figure_1}
A study of Table 1 shows that all experiments contain the same total number of drops of solution. Only one drop of sodium thiosulfate, Na2S2O3, and one drop of starch solution are added to each well. In Experiments 1, 2 and 3, the concentration of potassium iodide, KI, is gradually increased while all other solutions volumes remain constant. Experiments 1, 4 and 5 have an increasing concentration of potassium bromate, KBrO3. Experiments 1, 6 and 7 show an increase in the concentration of hydrochloric acid, HCl. Read the entire procedure before beginning the experiment.
Reaction Strip 1 {10533_Procedure_Table_2}
{10533_Procedure_Table_3}
{10533_Procedure_Figure_2}
Reaction Strip 1 (Experiments 4 and 5) {10533_Procedure_Table_4}
Reaction Strip 2 {10533_Procedure_Table_5}
Reaction Strip 1 (Experiments 6 and 7) {10533_Procedure_Table_6}
Reaction Strip 2 {10533_Procedure_Table_7}
Part 3. Determine the Activation Energy In this part of the experiment, the reaction will be carried out at several different temperatures using the concentrations given in Part 2 for Experiment 1. The temperatures will be about 40 °C, 20 °C and 0 °C. Use data from Experiment 1 at room temperature for the second measurement.
{10533_Procedure_Table_8}
Part 4. Observe the Effect of a Catalyst on the Rate Repeat the procedure given in Part 2 for Experiment 1 only, but this time add 1 drop of 0.1 M cupric nitrate solution, Cu(NO3)2, and only 3 drops of distilled water to the mixture. Fill only the first reaction wells. The total volume will still be 12 drops. Record the reaction times in the Part 4 Data Table. Student Worksheet PDF |