What is the activation energy of a reaction, and how is this energy related to the activated complex of the reaction?

Short Answer

Expert verified
Activation energy (Eₐ) is the minimum energy required for a reaction to occur. It is related to the activated complex (transition state) as it represents the energy difference between the reactants and the unstable, high-energy state of the activated complex.

Step by step solution

01

Definition of Activation Energy

Activation energy, often denoted by the symbol Eₐ, is the minimum amount of energy that reacting species must possess in order to undergo a specified chemical reaction. It is the energy barrier that must be overcome for reactants to be transformed into products.
02

Relationship to Activated Complex

The activated complex, also known as the transition state, is a high-energy, unstable arrangement of atoms that forms momentarily at the peak of the activation energy barrier. The activated complex is the state corresponding to the highest potential energy along the reaction path. The activation energy is the energy difference between the reactants and the activated complex.
03

Significance of Activation Energy

The magnitude of the activation energy affects the reaction rate. A higher activation energy means that fewer molecules will have enough kinetic energy to reach the transition state, leading to a slower reaction. Conversely, a lower activation energy means more molecules can reach the transition state, making the reaction faster.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Activated Complex
Understanding the role of the activated complex is crucial in the study of chemical kinetics. When reactants collide during a chemical reaction, they sometimes form a short-lived, unstable structure known as the activated complex or transition state. Imagine climbing a mountain; the activated complex is analogous to the hiker at the summit before descending into the valley of product formation.

During this fleeting moment, the original bonds are breaking, and new bonds are forming as the reactants transform into products. This state sits atop the energy barrier—we can picture it as the highest point that reactants must 'climb' before they can 'roll down' to become products. The energy required to reach this summit is the activation energy, which leads us into how crucial this concept is in terms of the viability of a reaction. In essence, the activated complex is a snapshot of the transformation, representing the moment of highest potential energy in the whole process.
Chemical Reaction
A chemical reaction is the process by which substances, called reactants, are transformed into different substances, known as products. This transformation involves the breaking and forming of chemical bonds, and it's driven by various factors including temperature, concentration, and the presence of catalysts.

In the context of activation energy, we can think of a chemical reaction as a sequence of events that must surmount an energy barrier to proceed. It's not unlike lighting a match; the striking action provides the energy to initiate the combustion reaction. The reaction pathway, from reactants to products, includes the crucial stage of the activated complex. By connecting the dots from reactants to products, the complexity of chemical reactions becomes clearer: they're not just a simple switch from one substance to another, but a journey through various energy landscapes.
Reaction Rate
The reaction rate is a measure of how fast a chemical reaction occurs. It reflects the change in concentration of reactants or products over time. This rate is influenced by several factors, including temperature, concentrations of reactants, surface area, and the presence of catalysts.

The activation energy is directly tied to the reaction rate. A high activation energy translates to a slower reaction, because fewer reactant molecules have enough energy to overcome the energy barrier and form the activated complex. Lowering the activation energy, perhaps by adding a catalyst or increasing the temperature, allows more reactant molecules to reach the transition state, thus speeding up the reaction.

Think of it like warming up a crowd at an event—the easier it is to get the crowd excited, the quicker the overall energy of the group elevates. Similarly, a lower energy barrier makes it easier for reactants to 'get excited' and react to form products, leading to an increased reaction rate.

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Most popular questions from this chapter

In an experiment, a sample of \(\mathrm{NaClO}_{3}\) was \(90 \%\) decomposed in 48 min. Approximately how long would this decomposition have taken if the sample had been heated \(20^{\circ} \mathrm{C}\) higher? (Hint: Assume the rate doubles for each 10 'C rise in temperature.)

Radioactive phosphorus is used in the study of biochemical reaction mechanisms because phosphorus atoms are components of many biochemical molecules. The location of the phosphorus (and the location of the molecule it is bound in) can be detected from the electrons (beta particles) it produces: $$_{15}^{32} \mathrm{P} \longrightarrow_{16}^{32} \mathrm{S}+\mathrm{e}^{-}$$ rate \(=4.85 \times 10^{-2} \mathrm{day}^{-1}\left[^{32} \mathrm{P}\right]\) What is the instantaneous rate of production of electrons in a sample with a phosphorus concentration of \(0.0033 \mathrm{M}\) ?

How much and in what direction will each of the following affect the rate of the reaction: \(\mathrm{CO}(g)+\mathrm{NO}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g)+\mathrm{NO}(g)\) if the rate law for the reaction is rate \(=k\left[\mathrm{NO}_{2}\right]^{2} ?\) (a) Decreasing the pressure of \(\mathrm{NO}_{2}\) from 0.50 atm to 0.250 atm. (b) Increasing the concentration of CO from \(0.01 M\) to \(0.03 M\).

From the given data, use a graphical method to determine the order and rate constant of the following reaction: $$2 X \longrightarrow Y+Z$$ $$\begin{array}{|c|c|c|c|c|c|c|c|c|} \hline \text { Time (S) } & 5.0 & 10.0 & 15.0 & 20.0 & 25.0 & 30.0 & 35.0 & 40.0 \\ \hline [X](M) & 0.0990 & 0.0497 & 0.0332 & 0.0249 & 0.0200 & 0.0166 & 0.0143 & 0.0125 \\ \hline \end{array}$$

For the reaction \(Q \longrightarrow W+X,\) the following data were obtained at \(30^{\circ} \mathrm{C}:\) $$\begin{array}{|c|c|c|c|} \hline[Q]_{\text {initial }}(M) & 0.170 & 0.212 & 0.357 \\ \hline \text { Rate \(\left(\mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1}\right)\) } & 6.68 \times 10^{-3} & 1.04 \times 10^{-2} & 2.94 \times 10^{-2} \\ \hline \end{array}$$ (a) What is the order of the reaction with respect to \([Q]\), and what is the rate law? (b) What is the rate constant?

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