Introduction
In order to be in a position to manipulate any operation,
one has to know all the fine details of the system and where and how one
might apply subtle changes to affect the outcome. When looking at chemical
reactions, it is from the study of its kinetics that one gleams the insight
necessary to be able to do this. The main use of chemical kinetics is to
measure the speed of a chemical reaction. But more importantly, in measuring
the speed of a reaction, one gains insight as to what part of the reaction
imparts this speed (or lack thereof) and thus allows one to propose a specific
mechanism that details the critical pathway for the reaction. Measuring
the speed of a chemical reaction is very similar to measuring speed in
general, except that instead of talking in terms of distance traveled per
unit time we are measuring either reactants consumed per unit time or products
produced per unit time. There are many factors that affect the speed of
a chemical reaction, some of the more common ones being:
Concentration Effects: |
Molecules must collide with one another in order to get a reaction
to take place. An obvious corollary to this is that the number of collisions
should increase if one increases the concentration of the reactants. This
in turn should lead to a faster reaction rate. For a large number of reactions
this is indeed the case. Yet, there are quite a number of exceptions! |
Temperature Effects: |
A temperature increase generally increases the rate of a chemical reaction.
A daily observation of this is in preparing foods; we generally heat foods
when preparing them to eat and freeze them for long term storage. For many
chemical reactions a general rule of thumb is that the rate of a chemical
reaction doubles with every 10°C temperature increase. |
Surface Area: |
The smaller the average particle size for the reactants, the greater
the overall surface area and the faster the reaction rate. Campfires are
a good example of this in that kindling burns much more readily than a
large piece of wood. A more serious manifestation is in grain store elevator
explosions. Here, very fine dust particles (giving rise to a very large
total surface area that is in contact with oxygen in the air) reacts explosively
in the presence of a tiny spark. An effective way to increase surface area
in a chemical reaction is by having the reactants in solution. |
Catalysts: |
Catalysts dramatically speed up a chemical reaction by allowing the
reaction to proceed via a much easier (energy wise) pathway. They give
the reaction a sort of short cut to follow. |
Determining the Rate of a Chemical Reaction _
Effect
of Concentration
Of interest here is the reaction of potassium permanganate
with oxalic acid. This is quite a complex oxidation reduction reaction.
The nice thing about this reaction is that potassium permanganate is a
deep purple color but when it has been consumed, it turns a light brown
and thus this reaction can be monitored visually. If, as we propose, the
speed (rate) of this reaction is dependent on the concentration of the
reactants then we could write:
Rate is proportional to [KMnO4]x[H2C2O4]y
Rate = k[KMnO4]x[H2C2O4]y
This is called the rate equation, with the sum of the exponents x and y
referred to as the order of the reaction. At this introductory level
to kinetics, the order of the reactions chosen is usually 0, 1 or 2. However,
reactions are not constrained to this and the order can be negative and
need not be a whole integer.
Rate: |
Speed of the reaction. |
k: |
Rate constant. |
[KMnO4]x: |
Permanganate concentration raised to some power x. The value for x
can only be determined experimentally and is referred to as "the order
of the reaction with respect to", in this case, permanganate.
While it can be equal to the stoichiometric coefficient in the balanced
chemical equation, it is more often not. With regards to this reaction
it is a positive whole number, but do not assume this is true for other
reactions. |
[H2C2O4]y: |
Oxalic acid concentration raised to some power y. Same criteria as
those addressed for the permanganate. |
We thus seem to have quite a few unknowns here.
The Rate _ Method of Initial Rates
In order to determine the speed of the reaction we
are going to focus here on the permanganate and simply equate the speed
with the time it takes to use up the permanganate.
Rate = -D[KMnO4]/
Dt
= -{[KMnO4]final - [KMnO4]init.]/(tfinal
- tinitial)
This simplifies quite remarkably as [KMnO4]final
= 0, and by setting tinitial =0.
Rate = -(-[KMnO4]init/tfinal)
= [KMnO4]/t
We can then use the method of initial rates to find the exponents
x & y. This method involves measuring and comparing the initial rates
of a reaction when different initial concentrations are used. The initial
rate for each being the permanganate concentration divided by time. There
is an inherent assumption made here that is not always valid: we will be
measuring tfinal to determine each rate. If you look at the
volume of each reagent added for each of the three experiments you will
notice that experiment 2 and 3 are related to 1 in that one of the concentrations
is identical while the other is halved. This helps dramatically with the
mathematics involved because if we take the ratio of the rates of reaction
1 with reaction 2 we get
Now take the ratio:
Rate1/Rate2 = ([KMnO4]1/[KMnO4]2)x
(remember in these two reactions [H2C2O4]1
= [H2C2O4]2, and thus can be
cancelled out)
If you do the experiment carefully, it should be apparent what the value
of x should be. It should turn out to be a whole number. If you want to
find its exact value and thus get a feel for the accuracy of the experiment,
then the following general log relationship will be of use:
log10(ax) = xlog10(a)
(a =[ ])
Thus we can determine x. If we now do the same thing for experiments 1
and 3 we can get y. Once we know what x and y are, then by taking any one
of the three experiment we can solve for k, the rate constant. The above
may sound somewhat cumbersome and difficult, but as you will see when you
collect the data it is not difficult at all.
Experimental Procedure:
Determining the rate of a chemical reaction _
Effect
of concentration
It is also a good idea to
perform one trial run to see the color change, which is difficult to describe.
- While you are working in pairs, each group of four should set up three burets, one containing KMnO4,
one with H2C2O4 and one with distilled
water. Place a label on each. It is difficult to visually differentiate
between water and oxalic acid! Record the molarities of the KMnO4
and H2C2O4.
- Into a thoroughly washed and dried Erlenmeyer flask, place the required
amount of H2C2O4 and any distilled water.
The amounts are dictated by the experiment that you are doing. You have used
burets sufficient times by now that you should be able to dispense the
required amount. If you overshoot, start again. This lab is very dependent
on dispensing the exact quantities.
- Into a 15cm test tube place the required amount of KMnO4. Use
the same precaution as above.
- Add the permanganate to the oxalic acid and commence timing when you have
emptied the permanganate tube. Mix thoroughly by swirling the Erlenmeyer
flask and continue swirling until the solution turns a light yellow/brown
color. Stop timing and record the time it actually took for the
reaction to take place.
- Repeat this with a second and third trial. Take the average of these
three as the reaction time.
- Repeat steps 3 through 5 for experiments 2 and 3 and determine:
-
The order of the reaction with respect to [KMnO4].
-
The order of the reaction with respect to [H2C2O4].
-
The overall order of the reaction.
-
The rate constant.
-
The rate of the reaction if you were to mix
-
30mL of H2C2O4
-
15mL of KMnO4
-
5mL of H2O
|
KMnO4
~0.02M |
H2C2O4
~0.5M |
H2O |
Experiment 1 |
10.0mL |
20.0mL |
0.0mL |
Experiment 2 |
5.00mL |
20.0mL |
5.0mL |
Experiment 3 |
10.0mL |
10.0mL |
10.0mL |
|