Lesson Explainer: Reaction Profiles Chemistry

In this explainer, we will learn how to read reaction profiles (energy diagrams) and identify and describe the energy transfers involved.

Whenever a chemical reaction occurs, there are accompanying energy changes. As a result, reactants and products can have a different amount of energy from each other.

The potential energy of the product molecules is always higher than the potential energy of the reactant molecules in any endothermic chemical reaction. Endothermic chemical reactions absorb heat energy, and they usually cause the surrounding temperature to decrease either slightly or significantly.

Definition: Endothermic Reaction

An endothermic reaction is a chemical reaction where energy is absorbed by the reacting chemicals from the surroundings.

The potential energy of the product molecules is always lower than the potential energy of the reactant molecules in any exothermic chemical reaction. Exothermic chemical reactions release heat energy and they usually cause the surrounding temperature to increase either slightly or significantly.

Definition: Exothermic Reaction

An exothermic reaction is a chemical reaction where energy is released from the reacting chemicals to the surroundings.

Chemists can use very simple energy level diagrams to show how the total potential energy changes as reactants turn into products during a chemical reaction. An example of an energy level diagram is shown below.

The ๐‘ฆ-axis of an energy level diagram represents the potential energy of the substance. The potential energy of the substance is a summation of the different energies stored in the chemical substance, although it is often simply referred to as potential energy. The potential energy of the reactants and products can be expressed with numbers and units such as kilojoules per mole (kJ/mol). However, it is sometimes appropriate to show energy level diagrams without any units whatsoever.

The ๐‘ฅ-axis represents the reaction coordinate, or the progression of the reaction from reactants to products. Units are not usually used for the ๐‘ฅ-axis, because it does not represent time or any other familiar physical quantity.

Energy level diagrams can be used to show how the total potential energy has changed during a chemical reaction and to show whether the reaction is endothermic or exothermic.

The following energy level diagram shows the potential energy of the reactants and the products during a simple endothermic reaction.

The diagram shows that the system absorbs heat energy as the reaction occurs and the reactant molecules are transformed into product molecules. The energy absorption process is represented by the green arrow that stretches from the reactants line to the products line. The difference in the energy between the products and the reactants is called the enthalpy change and is given the symbol ฮ”๐ป: ฮ”๐ป=โˆ’.energyofproductsenergyofreactants

Definition: Enthalpy Change (๐šซ๐ป)

Enthalpy change is the difference in energy between the products and the reactants.

The products are less stable than the reactants because they have more energy and they therefore have a higher capability to react with another substance. The products are more reactive than the reactants.

We can also construct an energy level diagram for an exothermic reaction.

Here, the energy of the reactants is higher than the energy of the products. The downward pointing arrow shows us that energy is released by the reactant molecules as they react with each other and form product molecules. The products are more stable than the reactants because they have less energy and they therefore have a lower capability to react with another substance. The reactants are more reactive than the products.

Let us consider the energy level diagram for real exothermic and endothermic reactions.

The reaction of hydrogen gas with oxygen gas to produce water is an exothermic reaction, producing 285.8 kJ/mol of energy per mole of hydrogen gas. The chemical equation for this reaction can be written as H()+O()HO()kJmol222ggl12+285.8/

Using this information, the following energy level diagram can be constructed.

From the equation and energy level diagram, we can conclude that during the reaction, energy is transferred from the system to the surroundings. As a result, the temperature of the system decreases and the temperature of the surroundings increases.

The energy level diagram also shows that the enthalpy of the products is less than the enthalpy of the reactants. However, the law of conservation of energy means that we must account for the difference in energy between the reactants and products, and so the reaction releases energy to the surroundings. Finally, we can determine that the change in enthalpy (ฮ”๐ป) is negative.

The thermal decomposition of magnesium carbonate into magnesium oxide and carbon dioxide is an endothermic reaction, requiring 117.3 kJ/mol of energy per mole of magnesium carbonate to be absorbed. The chemical equation for this reaction can be written as MgCO()kJmolMgO()+CO()32ssg+117.3/

Using this information, the following energy level diagram can be constructed.

From the equation and energy level diagram, we can conclude that during the reaction, energy is transferred from the surroundings to the system. As a result, the system absorbs energy and the surroundings lose energy.

The energy level diagram also shows that the enthalpy of the products is greater than the enthalpy of the reactants, and so the reaction requires energy to be absorbed. Finally, we can determine that the change in enthalpy (ฮ”๐ป) is positive.

Example 1: Understanding an Energy Level Diagram

Labeled in the diagram are the chemical energies of three compounds, aโ€“c.

  1. Which of the labeled compounds is highest in energy?
  2. Which of the labeled compounds is lowest in energy?
  3. Which of the labeled compounds is most stable?
  4. Which of the labeled compounds is least stable?

Answer

Part 1

The ๐‘ฆ-axis of an energy level diagram shows the level, or amount, of potential energy stored in a compound. Different substances have a different amount of potential energy. These amounts of energy can be plotted on an energy level diagram or on more complicated graphs called reaction profiles. Of the three compounds a, b, and c, the one with the highest ๐‘ฆ-axis energy value is compound b. So, the correct answer is b.

Part 2

The compound with the lowest ๐‘ฆ-axis energy value is compound a. The correct answer is a.

Part 3

The lower the energy of a compound, the more stable it is. When a compound has lower energy, it is less likely to react with another substance. It has high stability and low reactivity. The compound with the lowest energy is compound a, so compound a is the most stable. The correct answer is a.

Part 4

The higher the energy of a compound, the less stable it is. When a compound has a high amount of energy, it is more capable of reacting with another substance, and thus it has low stabilityโ€”it is more reactive. The compound with the highest energy is compound b, so compound b is the least stable. The correct answer is b.

Energy level diagrams are simplified illustrations that only show us the initial and final energy of substances during a reaction. As they provide no other information, chemists often use reaction profiles instead. A reaction profile is a more detailed energy level diagram that represents the energy of the substances at different steps during a chemical reaction.

Definition: Reaction Profile

A reaction profile is an energy diagram showing the changes in energy at different steps in a reaction.

The steps in a reaction include the energy of the reactants and products and the energy pathway for the activated complex. The activated complex, or transition state, is a high-energy arrangement of atoms, where chemical bonds in the reactants are being broken and new bonds are being formed. This breaking of old bonds and forming of new bonds can often happen simultaneously.

Definition: Activated Complex (Transition State)

An activated complex is a high-energy chemical structure where chemical bonds in the reactants are being broken and new bonds are being formed.

The activated complex only exists for a very short time. For reactant particles to form an activated complex, they first need to absorb a minimum amount of energy. This minimum amount of energy required for reactant particles to collide and react with each other is known as the activation energy (๐ธ)a.

Definition: Activation Energy (๐ธa)

Activation energy is the minimum amount of energy required by reactant particles to collide and react with each other.

Endothermic and exothermic reactions both need activation energy. This is an initial increase in energy to get the reaction started. If the energy provided is lower than the activation energy, then there is insufficient energy to start the reaction. The particles might still collide, but no reaction will occur.

Think of a match. When it burns, the reaction releases energy and so is exothermic. However, most modern-day safety matches will not spontaneously burn. A minimum amount of energy first needs to be absorbed by the system (the chemicals in the match head) to get the reaction started. This minimum amount of energy is supplied when we strike a match against a rough surface.

match-ignited-by-rubbing-head

Let us look at the reaction profile for the reaction between carbon and oxygen gas that produces carbon dioxide gas as the product: C()+O()CO()+energysgg22

Firstly, we can see that the reaction is exothermic because the energy of the product, CO()2g, is lower than the energy of the reactant molecules. There is some extra information in this plot. We can see a โ€œhumpโ€ in the diagram starting at the energy level of the reactants and ending at the energy level of the products. The orange arrow represents the activation energy or how much energy is required to break the covalent bonds that hold the reactant molecules together. The difference in energy between the reactants and products is called the difference in enthalpy or ฮ”๐ป.

One way to reduce the activation energy of this reaction would be to use a catalyst. This is because catalysts act by lowering the activation energy needed for a reaction to occur and, in this way, catalysts can speed up a reaction. Catalysts do not take part in chemical reactions and they do not undergo chemical changes themselves.

Definition: Catalyst

A catalyst is a substance that increases the rate of a chemical reaction, without being chemically altered itself, by lowering the activation energy needed for the reaction to occur.

The energy of the activated complex or transition state is equal to the peak energy value of the reaction profile โ€œhump.โ€ The activated complex has the highest energy of all the substances in a reaction system.

Example 2: Identifying Which Part of a Reaction Profile Corresponds to Activation Energy

The reaction profile for a chemical reaction is shown in the diagram below. Which label corresponds to the activation energy?

Answer

The activation energy is the minimum amount of energy required to cause the reactants to collide and react with each other. So, whether a reaction is endothermic or exothermic, the reactants must initially absorb enough energy to react. Activation energy on a reaction profile is the initial energy increase by the reactants. This corresponds to A.

Let us look at the reaction profile for the endothermic reaction between nitrogen gas and oxygen gas: N()+O()+energy2NO()22ggg

The reaction between the nitrogen and oxygen molecules does not happen spontaneously because the activation energy barrier is relatively large. The nitrogen and oxygen molecules can only react if the chemical system absorbs enough energy to overcome the large activation energy barrier.

This reaction is endothermic because the energy of the product, NO()g, is higher than the energy of the reactant molecules. Energy is absorbed by the reactants to form the products and ฮ”๐ป is therefore positive. The orange arrow represents the large activation energy.

Example 3: Selecting the Correct Reaction Profile Diagram from Information Given about a Reaction

A chemical reaction is found to have a molar reaction enthalpy (ฮ”๐ป) of โˆ’80 kJ/mol and an activation energy of 25 kJ/mol. Which of the following reaction profiles represents this reaction?

Answer

We are told that the enthalpy change of the reaction is โˆ’80 kJ/mol. Because ฮ”๐ป is negative, we know the reaction is exothermic. Only options B and C represent exothermic reactions where the energy of the products is lower than that of the reactants. So, we can rule out A and D.

We can compare the reaction profiles in answers B and C. We can see that in answer C, the vertical distance between the reactants and products energy lines (ฮ”๐ป) is almost the same as the vertical distance between the reactant energy line and the top of the curve where the activated complex is, in other words, the activation energy. But this is not the case for B.

In other words, in reaction profile C, the ฮ”๐ป is approximately equal to the activation energy ๐ธa. So, we can rule out option C as the answer, because we know that ฮ”๐ป=โˆ’80/kJmol and ๐ธ=25/akJmol; ฮ”๐ป and ๐ธa are not equal. When we look at answer option B, we can see that ๐ธa is approximately a third of the height that ฮ”๐ป is.

So, the correct answer is B.

Example 4: Interpreting a Reaction Profile

The reaction profile diagram below shows that graphite is more stable than diamond. However, the conversion from diamond to graphite is very difficult. Which of the following statements explains why?

  1. Diamond does not conduct electricity.
  2. The energy required to break the covalent bonds between carbon atoms is low.
  3. The reaction is exothermic, not endothermic.
  4. The energy difference between diamond and graphite is very small.
  5. The activation energy for the conversion of diamond into graphite is very high.

Answer

In the question, we are told that graphite is more stable than diamond. The reaction profile indicates that the conversion of diamond to graphite is an exothermic process. Energy is released when bonds break and form during diamondโ€™s conversion to graphite. We can deduce that this reaction is exothermic by the relative energies of the reactant (diamond) which are higher than the product (graphite). Statement C, โ€œthe reaction is exothermic, not endothermic,โ€ is a correct statement for this reaction but does not fully answer the question.

Although the energy of diamond and graphite are not greatly different (their energy values on the reaction profile are relatively close to each other), the โ€œhumpโ€ for the activation energy required to induce diamond to react and be converted to graphite is relatively large. This tells us that it takes a lot of energy to convert diamond to graphite. So, although statement D, โ€œthe energy difference between diamond and graphite is very small,โ€ is also a correct description of this reaction profile, it is not the reason why it is so difficult to convert diamond to graphite. The reason why it is so difficult is the very large amount of activation energy which would be required for this reaction to occur. So, the correct answer is E: the activation energy for the conversion of diamond into graphite is very high.

Let us summarize what has been learned in this explainer about reaction profiles.

Key Points

  • A reaction profile shows the amount of energy at different steps in a reaction.
  • A typical endothermic reaction profile looks as shown below.
  • A typical exothermic reaction profile looks as shown below.
  • A high-energy substance has low stability, and a low-energy substance has high stability.
  • An activated complex is a high-energy state of chemical structures where chemical bonds in the reactants are being broken and new bonds are being formed.
  • The activation energy (๐ธ)a is the minimum amount of energy that reactants need to collide and react.
  • The enthalpy change (ฮ”๐ป) is the difference in energy between the products and the reactants.

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