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Material:
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An Iodine Clock Reaction
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| Submitted by: |
Moustapha Diack on Apr 22, 2003 |
| Date Last Modified: |
Apr 22, 2003 |
| Title: |
INVESTIGATION OF THE RATE EXPRESSIONS IN CHEMICAL KINETICS |
| Description: |
The main objectives of this quantitative experiment are to (1) evaluate the rate constant kR and the reaction orders, (2) investigate the manner in which the reaction rate depends on temperature, and (3) evaluate the activation energy, Ea, of the reaction. |
| Type of Task: |
Student-centered
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| Topics: |
Reaction Rate |
| Course: |
Seconf Year Freshman (General) Chemistry |
| Audience: |
College General Ed,
High School
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| Categories: |
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| Prerequisites Skills: |
Influence of Concentration and Temperature on the Rate of a Chemical Reaction
Reaction Order
Determination of Rate Equation
Activation Energy |
| Learning Objectives: |
(1) evaluate the rate constant kR and the reaction orders, (2) investigate the manner in which the reaction rate depends on temperature, and (3) evaluate the activation energy, Ea, of the reaction. |
| Text of Learning Exercise: |
INVESTIGATION OF THE RATE EXPRESSIONS IN CHEMICAL KINETICS USING A VIRTUAL LABORATORY
EXP22PL: Post Laboratory Assignment Accompanying Experiment 22, Reaction Rate M. Diack, T. Bursh, E. Kelley Department of Chemistry Southern University ?C B.R - LA
A. PURPOSE
The main objectives of this quantitative experiment are to (1) evaluate the rate constant kR and the reaction orders, (2) investigate the manner in which the reaction rate depends on temperature, and (3) evaluate the activation energy, Ea, of the reaction.
B. RESOURCE
This Post Laboratory assignment uses the Internet Resource, by Gary L.Bertrand, University of Missouri-Rolla, available at: http://web.umr.edu/~gbert/IClock/IClock.html. The students are strongly advised to print this handout document as well as the online information posted under Document at the target resource page for completing the assignment.
C. CONCEPT OF THE EXPERIMENT
There are several different iodine clock reaction systems besides the one used in the wet laboratory (experiment #22 of reference 1). All of them,
however, have a common feature: the completion of any one of them is signaled by the sudden appearance of the dark color that is characteristic of the interaction of molecular iodine (I2) with starch. This color appears so abruptly that it can be as startling as the sudden sound of an alarm. The iodine clock system considered in this Virtual Laboratory uses the coupling of an oxidation and reduction reaction as shown below:
The reactions involve the oxidation of iodide ion (I-) to dissolved iodine (I2) or tri-iodide ion (I3-).
6 H+ + IO3- + 8 I- ?? 3 I3- + 3 H2O (1)
In addition to reaction 1, whose kinetics we will study, a measured amount of a reducing agent (arsenious acid) is included in the mixture to ensure a reasonably sharp color development. As compared with reaction 1, this reaction is essentially instantaneous.
H3AsO3 + I3- + H2O ?? HAsO42- + 3 I- + 4 H+ (2)
The I2 produced in reaction 1 reacts with the reducing agent, arsenious acid, H3AsO3, present in solution, so that until all the arsenious acid is gone from the system, the I2 produced by (1) reacts very quickly with tri-iodide ion, and very slowly with iodate ion, removing the tri-iodide ion as quickly as it is produced, so that the concentration does not reach the visible level until all of the reducing agent is consumed.
The net resulting ionic equation from summing (1) and (2) can be written as below (equation 3): IO3- + 3 H3AsO3 ?? I- + 6 H+ + 3 HAsO42 (3) can be described as the rate of disappearance of iodate ion. In the initial stages of the reaction, this is also equal to 1/3 the rate of disappearance of arsenious acid: rate = - d[IO3-]/dt = - (1/3)d[H3AsO3]/dt (4) The initial rate is approximated from the initial concentration of arsenious acid and the time (tC) from mixing to the color change: initial rate = (1/3) [H3AsO3]o / tC (5) The rate of this reaction is expected to be mathematically related to the concentrations of the reactants through a rate constant (kR),
which depends only on the temperature: rate = kR[IO3-]a[I-]b[H+]c (6) with the exponents (also called "order") a, b, and c expected to be integers (0, 1, 2, or 3) or half-integers (1/2, 3/2, 5/2). The reaction is said to have an "overall order" of a + b + c. The initial rate is then related to the initial concentrations: initial rate = kR[IO3-]oa [I-]ob [H+]oc = (1/3) [H3AsO3]o / tC (7)
D. VIRTUAL LAB PROCEDURE
The procedure of the Virtual Experiment is depicted in figure 1. More details concerning the experimental procedure are described in the simulation online Document. To run the virtual experiments follow the steps below: 1. Click on "start". The solutions are mixed, the timer is started.
2. Click on "stop timer" at first appearance of blue color.
3. Record time and initial concentrations. 4. "ReSet" repeats the measurements with the same initial concentrations to make duplicate/and or triplicate of your runs.
Access the web referenced resource, http://web.umr.edu/~gbert/IClock/IClock.html, for more details about experimental procedure and guidelines for using the simulation.
References: 1. Basic Laboratory Studies in GENERAL CHEMISTRY with Semimicro Qualitative Analysis, Grace R. Hered, Tenth Edition, p.191 ?C Houghton Mifflin Co - 1997
E. EXPERIMENTAL DATA COLLECTION SHEET AND REPORTING
EXP22PL: Post Laboratory Assignment Accompanying Experiment 22, Reaction Rate (This post laboratory assignment MUST be completed and turned in along with the wet laboratory report of experiment #22)
Student Name_____________________ Section_________ Year___________
1. Data Collection
Perform the following virtual experiment runs and collect your data to complete the Data Sheet given below:
Run # [IO3-]o [I-]o [H+]o Tri
al 1* Trial 2* Trial 3* Average 1 0.005 0.05 2 x 10-5 2 0.010 0.05 2 x 10-5 3 0.005 0.10 2 x 10-5 4 0.005 0.05 4 x 10-5
* time it takes for the blue color complex to form (in sec.). You must perform three trials for the runs and compute and average to be used in subsequent calculations. For your experimental data to be meaningful, YOU MUST record the exact time at which the blue complex appears. Although three trials are required in this report, you may need to run ablank experiment to get accustomed to the Virtual laboratory experiment prior to collecting experimental data.
2. Data Analysis: Determination of Reaction Orders a, b, c, and Rate constant (kR)
a = ____________________
b = ____________________
c = ____________________
kR = ____________________ (best value of the rate constant)
3. Data Analysis: Temperature Effects and Activation Energy The activation energy, Ea, for a given reaction is given by the Arrhenius Equation: kR= A !? e - Ea / RT (8) The equation gives the mathematical relationship between kR and absolutetemperature (T, A, and Ea are constants for the reaction, R is the Gas Law Constant = 8.314 J/K!? mol) To determine the activation energy for a given reaction, the concentration of all the reactants are held constant and the only variable is the temperature of the reaction. A series of measurements are made at different temperatures with identical initial concentrations of all of the components. Since all the concentrations remain constant the changes in kR are inversely related to the changes in the time required for the blue color to appear (tC) (see equation 7) kR= constant/tC (9) or we can write in logarithmic form: ln(kR) = ln(A) - Ea/RT (10) Combining (9) and (10) above,
one can derive (11) ln(tC) = ln(constant/A) + Ea/RT (11) A graph of the logarithm of time, ln(tC), vs the reciprocal of the absolute temperature (1/T) should be a straight line with slope = Ea/R . Plot your experimental graph to be included in this report and answer the following:
Slope = Ea/R = ______________________
Activation Energy, Ea = ________________
4 Advance Study Assignment: Please use the space provided for answering each question listed below.
4a Define Activation Energy
4b A common rule of thumb says that, near room temperature, a 10!?C increase results in a doubling of rate for many aqueous reactions. Use the Arrhenius equation, kR = A!? e (-Ea/RT) , to show whether this rule of thumb holds true for the iodine clock reaction. Use two temperatures that are 10!?C apart and evaluate k in terms of the constant A for each of the temperatures. (SHOW WORK AND CONCLUDE)
4c Using your results, predict how long it would take for the reaction to occur at 0!?C. Show your work and/or graphical representation.
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