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Computer-interfaced Experiments - Absorbance Measurement

Kinetics
Acid-catalyzed Iodination of Acetone
Pseudo Zero Order Reaction

Objectives: Determination of Rate Constants and Activation Parameters

Peter Keusch


Datalogging and data analysis using the Program "Measuring and Evaluating"
and the Analog-Digital-Converter CASSY-E - LEYBOLD DIDACTIC

German version



Chemicals:
acetone > 99.5 %  (M = 58.08 g / mol, d = 0.783 g /mL)
0.05 M iodine solution
0.5 M sulfuric acid

Apparatus and glass wares:
magnetic stirrer hotplate
magnetic stirring bar
stirring bar remover
crystallizing dish 190 × 90 (for water bath)
6 beaker 100 mL
contact thermometer
thermometer 0 - 50 °C (resolution: 0.1 °C)
2 burets 25 mL
volumetric pipet 2 mL, 4 mL, 5 mL
3 graduated cylinders 50 mL
washing bottle with dist. water
pipet bulbs
photometer fitted with recorder output
round, tube shaped cuvettes
disposal container


Hazards and safety precautions:

Iodine is toxic - may be fatal if swallowed or inhaled. Harmful by inhalation and through skin absorption. Readily absorbed through skin. Very destructive of mucous membranes and upper respiratory tract, eyes and skin. Severe irritant.

Acetone is highly flammable. Irritating to eyes.

Safety glasses and nitrile gloves required. The experiment should be carried out in a fume cupboard!


Theoretical background:

Reaction mechanism



The reaction of acetone with iodine producing iodine acetone, represents in the acid aqueous medium, (like other ketone halogenations) a irreversible redox reaction, catalyzed by protons. In a first step (reaction 1) acetone (A) is protonated producing AH+:

Reaction 1 (fast)
equation

AH+ is formed only with in very small concentrations. In the reverse reaction AH+ decomposes to regenerate hydrogen ion and acetone (keto- or enol-form).

Reaction 2 (slow)
equation


Reaction 1 is like many other protonation-deprotonation reactions relatively fast. However, the formation of the enol (reaction step 2) takes place slowly. Since the H + taken up by the acetone is regenerated by the formation of enol, a hydrogen catalyzed keto-enol-isomerization reaction takes place. Iodine reacts with enol irreversibly to form iodoacetone (AI) and hydroiodic acid (HI):

Reaction 3 (fast)


Since this reaction is very fast (k3 >> k2), the enol formed in reaction step 2 is immediately converted. The second reaction step is rate-determining. The formed enol reacts in the third step immediately with iodine to form iodine acetone. When all the iodine has been consumed the reaction will stop.


Kinetic equations (Download)


Experimental procedure:

50 mL of the reaction solution are to have the following proton- and iodine concentrations: cH = 0.08 mol · L -1, cI2 = 0.004 mol · L -1, cAc = 2.7 mol · L -1

Calculation of the appropriate volumes (Download PDF file)


Experiment set-up
Fig. 1: Experiment set-up
7 mL of the 0.5 molecular sulfuric acid are pipetted into a graduated 50 mL measuring cylinder and from a burette the calculated volume of acetone is added. Afterwards the acid acetone solution is accurately made up to a volume of 46 mL with dist. water. Now the solution is poured into a beaker. 4 mL of the 0.05 molecular iodine solution are pipetted into a second beaker. The beaker is sealed with a piece of parafilm foil to prevent the release of iodine into the air. The plasic film is wrapped around the top of the beaker.

The two beakers are placed in a water bath, in which a contact thermometer is immersed. The water level of the temperature bath should be well above the solution level in the beakers. A thermometer (resolution: 0.1 °C) is dipping into the acidic aqueous acetone solution. The two solutions are allowed to equilibrate in the constant-temperature water bath (this usually takes about 10 minutes).

The experiments are carried out at three different temperatures in the range from 20 °C to 40 °C.

The in-situ determination of the reaction rate on the basis of a continuous logging of photometrical data is allowed in rapidly proceeding reactions (see temperature constancy).

During the thermal equilibration the  Calibration of the photometer and the matching of the program 'Multimeter'  takes place.

Calibration of the photometer: Using the wavelength control knob a wavelength of 490nm is selected. After the photometer is zeroed, a cuvette filled about ½ full of iodine solution mixed with acetone is placed into the sample compartment. As soon as the transmittance maximum is reached, the instrument is adjusted so that the meter needle reads 100% transmittance (zero absorbance).

The recorder output of the photometer is connected to the input B of the INTERFACE.

Matching of the program 'Multimeter':
- In the program  'Measuring and Evaluating'  the subprogram  'Multimeter'  is activated and under the menu item   <F3> 'Select measur. quantities' ® 'Reselect channel B'     the quantity  'Voltage DC'   is selected.
- After switching to   <F4>'Automatic/Param./Select formula'   the measuring interval is set to  10 s.
- Under the menu item  'Enter formula'   T  is entered.  T  stands for  'Physical symbol' . After the   'No. decimal places'  has been set to   4  , the beginning of the formula
 T (n, t, U) =   is completed by entering   U·100  (CASSY registers a voltage of approx. 1 V at 100 % transmittance).


program
Fig. 2: Matching of the program


Mesurement: After the solutions were maintained at constant temperature in the thermostated water bath for about 15 minutes the reaction temperature is read to the nearest 0.1 °C. Afterwards the acetone solution is added to the iodine solution. The reaction solution is poured smoothly and rapidly into a clean, dry cuvette. Immediately the cuvette is placed into the light-tight sample compartment of the photometer. Simultaneously the sensing software is started by pressing  <F1>.

Before the data are stored, by means of  <F7 >'Select representation'® 'Display'  transmittance  T   is selected for the x-axis and time  t  for the y1-axis. Under  'Select graph options'  one ensures that the data points are displayed as crosses.


The remainder of the reaction solution is poured immediately into the disposal container.


Data analysis:

A direct comparison of the measurements is allowed in an overlay mode activated by switching to   <F8> 'Disc operations'®'Multigraph on' . The desired series of measurements are selected individually, in order to represent them together in the main menu by activating   <F6>'Evaluate in graph'. Condition for a successful overlay is a identical labelling of the axes.  Fig. 3  shows the overlay of three series of measurements. By pressing  <Alt> <F4>  and   <F4>  and by entering the appropriate number of the graph, a fitted smooth curve is drawn through the data points.


transmittance
Fig. 3: Multigraph screen - temperature effect
1:  22.3 °C     2:  28.8 °C     3:  36.4 °C


The transmittance values of the individual series of measurements are converted into absorbance values.

By switching the program to  <F4>'Select formula'  a submenu is opened, allowing to enter a formula.  A   is entered. A stands for   'Physical symbol' . After the  'No. decimal places '  has been set to  4, the beginning of the formula   A (n, l, U) =   is completed (according to  A = 2 - logU·100)  by entering  -lnU/ln10  (Fig. 4)


program
Fig. 4: Matching of the program


Under  <F7>'Select representation'  the x-axis is labelled with   A   and the y1-axis with  t.

The plot of t versus A provides a straight line up to a reaction conversion of 100%.

Under the menu item  <F9>   the linear portion of the graph is highlighted in the graph cursor mode:
- By appropriate positioning of the cursor and by means of the key combinations  <Ctrl> <®> and <Ctrl ><¬>  the start and end point of the portion (that is to be highlighted) can be located.
- By striking the function key  <F2>  a best-fit straight line is drawn through the linear portion of the graph. The interception of this straight line with the y-axis indicates the value of the time t, at which the reaction is completed. By pressing  <Alt> <F2> and by entering the appropriate graph number the appropriate value for y (x = 0) is calculated  (Fig. 5).


absorption
Fig. 5: Plot of time vs absorbance - determination of the reaction endpoint
1:  22.3 °C     2:  28.8 °C     3:  36.4°C


Fig. 5  shows, that the change in the concentration is proportional to the time. The reaction rate is constant. The reaction is pseudo zero order .

Determination of the rate constant k according to equation (21)   Kinetic equations (Download PDF file):


k = 0.004 / (0.08 · 2.7 · t)


Measurement
T [ °C ]
t [ s ]
k [ L · mol-1 · s -1 ]
1
22.3
434
0.000042669
2
28.8
257
0.000072057
3
36.4
137
0.000135172
Tab. 1: Rate constants k


If the reaction temperatures and the corresponding rate constants are entered into the table of the Excel file   Activation parameters(Download), then all activation parameters  (Tab. 2)  will be calculated and the plots according to the ARRHENIUS and EYRING equation will be generated  (Fig. 6).


 activation parameters
Tab. 2: Calculation of the activation parameters


Arrhenius and Eyring
Fig. 6: ARRHENIUS (1) and EYRING plot (2)



References:
Computer-Interfaced Experiments   Kinetics: Acid-catalyzed Iodination of Acetone - Test for a Pseudo Zero Order Reaction
Kinetics of the Iodination of Acetone
Bromination of Acetone


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