Reaction mechanism and rate of reaction
Are you ready to learn more? For those of you wanting to stretch your understanding, we're now going to take a deep dive into how reaction mechanisms relate to the rate of reaction, and the order of a reaction.
Reaction mechanisms show the individual steps of a chemical reaction. Each step is called an elementary process, or elementary step, and represents a geometric change in the molecules involved in the reaction. You can think of an overall chemical reaction as a sequence of multiple elementary processes.
Elementary processes can be uni-, bi- or termolecular, depending on how many molecules they involve.
- Unimolecular elementary processes involve just one molecule.
- Bimolecular elementary processes involve two molecules. These could be from the same species or from different species.
- Termolecular elementary processes involve three molecules. Once again, these could all be from the same species, or from different species.
Termolecular elementary processes are relatively rare. For a reaction to occur, molecules need to collide at just the right time, with enough energy, and just the right orientation. It's quite uncommon for two molecules to do this, let alone three!
So, how do elementary processes relate to rate equations?
In Rate Equations, we explored what a rate equation is: an equation showing how the rate of a chemical reaction depends on the concentration of certain species. Reactions all have a rate-determining step. In other words, they have a rate-determining elementary process. This is the slowest part of a reaction, and all the species involved in elementary processes up to and including this step feature in the rate equation. Rate laws can be determined for each elementary process, showing how the rate of each step depends on a particular species.
The combined rate laws of all of the steps up to and including the rate-determining elementary process make up the rate equation. If we are given information about a rate equation and a reaction mechanism, we can work out the rate-determining step of a reaction, and vice versa.
Here's a handy table showing how elementary processes and rate laws are linked for three imaginary species. Let's call them A, B, and C, and we'll name the product D.
Type of elementary process | Equation | Rate law |
Unimolecular | | k = [A] |
Bimolecular | | k = [A]2 |
| | k = [A] [B] |
Termolecular | | k = [A]3 |
| | k = [A]2 [B] |
| | k = [A] [B] [C] |
For example, take the reaction between iodine monochloride, ICl, and hydrogen gas, H
2. It has the following equation:
Here's the rate equation for the reaction:
k = [H2] [ICl]
You'll notice that the rate equation for this reaction doesn't involve all of the molecules present in the overall equation. In fact, it only features one molecule of hydrogen (H2) and one molecule of iodine monochloride (ICl). This means that the only species that feature in the steps up to and including the rate-determining elementary process are one molecule of hydrogen, and one molecule of iodine monochloride. We can therefore predict that the overall reaction mechanism has two distinct steps.
In the first step, one molecule of hydrogen and one molecule of iodine monochloride react to form an intermediate and hydrogen chloride (HCl):
In the second step, the intermediate reacts with another molecule of iodine monochloride to form hydrogen chloride and iodine (I2):
Another example is the reaction between nitrogen dioxide (NO2), and carbon monoxide (CO). It has the following equation and rate equation:
k = [NO2]2
The rate equation features two molecules of nitrogen dioxide, but no molecules of carbon monoxide. We can therefore predict that the reaction again takes place in two distinct steps. The first step involves two molecules of nitrogen dioxide reacting to form nitrogen monoxide (NO) and an intermediate. This must be the rate-determining step, as these two nitrogen dioxide molecules are the only molecules involved in the rate equation. In the second step, the intermediate reacts with carbon monoxide to form nitrogen dioxide and carbon dioxide. You can see this below:
If we combine the two equations, one of the nitrogen dioxide molecules and the intermediate molecule appear on both the left- and the right-hand side, and so don't feature in the reaction's overall equation: