Experiment
4 - Chemical Kinetics Effect of Temperature ... ... The Arrhenius Equation |
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Before going to Lab:
* Bringing your computer to Lab
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Introduction:
In the previous experiment we were interested in determining the rate equation for the reaction of potassium permanganate with oxalic acid. You should have found that the reaction was first order in permanganate and first order in oxalate thus giving a rate equation: Rate = k[KMnO4][H2C2O4] We can now focus our attention on the effect that temperature has on the speed of a chemical reaction. As noted in the introduction to experiment three: 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. Why is this? Effect of Temperature on the Speed of a Chemical Reaction: On the molecular level, the determining factor of the speed of a chemical reaction is the collisions between molecules. The more frequently they collide, the greater the likelihood that a reaction will take place. This is not a bad starting premise for understanding a chemical reaction. Let's now just look at what happens to the permanganate molecule in its reaction with oxalic acid. It goes from MnO4- to Mn2+. This seemingly involves bond breakage which must require energy. Thus, is not sufficient that the molecules just collide, but they must collide with sufficient energy such that the reaction may occur. This energy barrier that must be overcome is called the Activation Energy. By increasing the temperature one not only increases the number of collisions but one also increases the energy of the collisions and get a greater probability that some of those collisions have sufficient energy to overcome this barrier. There is another factor that comes into play called the orientation factor, though it is not very important in this reaction. This factor takes into account the number of collisions that occur at the correct location to effect breakage of the desired bond. A rather bizarre way to understand this is that throwing a stone at a window with sufficient force to break it does not ensure breaking the window if your aim is suspect!! In 1889, Svante Arrhenius, demonstrated that the rate constant of a chemical reaction varies with temperature according to the equation
by just rewriting this slightly differently we get:ln k = ln A - (Ea/RT) which is in fact the equation of a straight line that relates the natural logarithm of k to the inverse of the temperature. Thus if one were to plot ln k vs 1/T, one should obtain a straight line with a negative slope. The slope of this line is equal to -Ea/R and the intercept ln A.ln k = (-Ea/R)(1/T) + ln A This is the heart of this experiment. Using a very similar technique to the last experiment, you will determine k at four different temperatures and by doing the appropriate plot determine the activation energy for this reaction. Experimental Procedure: Important Notes:
We are aiming to run this experiment at 0, 10, 20 and 30oC. To make water baths at these temperatures you will have to mix ice and water, in the plastic containers provided, for the 0, 10 and 20oC water bath. The 30oC water bath may be obtained by heating water gently in a 400mL beaker to ~32oC and then transferring this to the plastic container. Obtaining the suggested water bath temperature is not critical, so long as you know and record the actual temperature and that you obtain an ~ 10oC difference for each bath. Determining the Activation Energy
Write-Up: In this experiment you are going to write up a complete record of the experiment.
Give a short objective of the experiment. Write a brief procedure. Should consist of a table similar to:
Make sure that:
A brief comment on the magnitude of Ea should be given paying attention to its magnitude and a comparison between it and typical bond energies. (Remember these from chem 111.) |