Reaction rate and activation energy relationship

The Activation Energy of Chemical Reactions

reaction rate and activation energy relationship

Using this activation energy how do you explain the thermal stability and the reaction rate as a function of temperature to determine the activation energy. between the activation energy and the rate at which a reaction proceeds. As indicated by Figure 3 above, a catalyst helps lower the activation energy barrier, increasing the reaction rate. In the case of a biological.

Collision Theory Model, Rates of Reaction, Activation Energy, Arrhenius Equation - Chemical Kinetics

In Greek mythology Sisyphus was punished by being forced roll an immense boulder up a hill, only to watch it roll back down, and to repeat this action forever. If this were a chemical reaction, then it would never be observed, since the reactants must overcome the energy barrier to get to the other side products.

The reaction pathway is similar to what happens in Figure 1.

reaction rate and activation energy relationship

The faster the object moves, the more kinetic energy it has. In the same way, there is a minimum amount of energy needed in order for molecules to break existing bonds during a chemical reaction.

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If the kinetic energy of the molecules upon collision is greater than this minimum energy, then bond breaking and forming occur, forming a new product provided that the molecules collide with the proper orientation. Image used with permission from Wikipedia.

The Arrhenius Law: Activation Energies - Chemistry LibreTexts

In a chemical reaction, the transition state is defined as the highest-energy state of the system. If the molecules in the reactants collide with enough kinetic energy and this energy is higher than the transition state energy, then the reaction occurs and products form.

reaction rate and activation energy relationship

In other words, the higher the activation energy, the harder it is for a reaction to occur and vice versa. The second reflects the fact that anything consumed in the reaction is a reactant, not a catalyst. The third criterion is a consequence of the second; because catalysts are not consumed in the reaction, they can catalyze the reaction over and over again.

The fourth criterion results from the fact that catalysts speed up the rates of the forward and reverse reactions equally, so the equilibrium constant for the reaction remains the same.

Catalysts increase the rates of reactions by providing a new mechanism that has a smaller activation energy, as shown in the figure below. A larger proportion of the collisions that occur between reactants now have enough energy to overcome the activation energy for the reaction. As a result, the rate of reaction increases.

Arhenius Equation

To illustrate how a catalyst can decrease the activation energy for a reaction by providing another pathway for the reaction, let's look at the mechanism for the decomposition of hydrogen peroxide catalyzed by the I- ion. In the presence of this ion, the decomposition of H2O2 doesn't have to occur in a single step. It can occur in two steps, both of which are easier and therefore faster. Because H2O2 and I- are both involved in the first step in this reaction, and the first step in this reaction is the rate-limiting step, the overall rate of reaction is first-order in both reagents.

Determining the Activation Energy of a Reaction The rate of a reaction depends on the temperature at which it is run. As the temperature increases, the molecules move faster and therefore collide more frequently. The molecules also carry more kinetic energy. Thus, the proportion of collisions that can overcome the activation energy for the reaction increases with temperature.

The only way to explain the relationship between temperature and the rate of a reaction is to assume that the rate constant depends on the temperature at which the reaction is run.

InSvante Arrhenius showed that the relationship between temperature and the rate constant for a reaction obeyed the following equation. The rate of a reaction depends on the nature of bonding in the reactants. Usually, the ionic compounds react faster than covalent compounds. The reactions between ionic compounds in water occur very fast as they involve the only exchange of ions, which were already separated in aqueous solutions during their dissolution.

Whereas, the reactions between covalent compounds take place slowly because they require energy for the cleavage of existing bonds. The Orientation of Reacting Species: The reaction between the reactants occurs only when they collide in the correct orientation in space. Greater the probability of collisions between the reactants with proper orientation, greater is the rate of reaction.

The orientation of molecules affects the probability factor, p.

The Arrhenius Law: Activation Energies

The simple molecules have more ways of proper orientations to collide. Hence their probability factor is higher than that of complex molecules. The orientation factor also affects the interaction between reactants and catalysts.

For example in case of biological reactions, which are catalyzed by enzymes, the biocatalysts. The enzymes activate the reactant molecules or substrates at a particular site on them.

These sites are called active sites and have definite shape and size. The size, stereochemistry, and orientation of substrates must be such that they can fit into the active site of the enzyme.

Then only the reaction will proceed. This is also known as lock and key mechanism. The enzymes lose their activity upon heating or changing the pH or adding certain chemical reagents.

This is due to deformation of the configuration of the active site.

reaction rate and activation energy relationship

Surface Area of Reactant: The rate of a reaction increases with increase in the surface area of solid reactant if any used. The surface of a solid can be increased by grinding it to a fine powder.