1.3 Reaction mechanisms and rate-determining steps

3 min readjuly 22, 2024

Chemical reactions are like recipes, with step-by-step instructions called mechanisms. These mechanisms reveal how reactants become products, helping scientists predict and control reactions. Understanding mechanisms is crucial for optimizing processes in various fields.

The is the slowest part of a reaction, like a bottleneck in traffic. It controls the overall speed and helps write the , which describes how fast a reaction occurs. Knowing this step is key to improving reaction efficiency.

Reaction Mechanisms and Rate Laws

Significance of reaction mechanisms

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  • provide step-by-step sequences of that describe the overall process of a chemical reaction
    • Elementary reactions involve single-step processes with a single (e.g., bond breaking or formation)
  • Reaction mechanisms offer insight into how reactants convert into products by identifying and transition states
  • Understanding reaction mechanisms enables prediction of reaction rates and development of strategies to control reaction outcomes
    • Crucial for optimizing chemical processes in various fields (organic synthesis, catalysis, industrial chemistry)

Rate-determining step identification

  • The is the slowest step in a and determines the overall reaction rate
  • The RDS often has the highest barrier, which is the minimum energy required for reactants to form the
  • In a multi-step , the overall reaction rate equals the rate of the RDS
    • Increasing the RDS rate will increase the overall reaction rate
  • To identify the RDS, compare the rates of each step in the mechanism and find the slowest step

Rate law from determining step

  • The rate law expression relates the reaction rate to the concentrations of reactants and the (kk)
    • The rate constant (kk) depends on temperature and the nature of the reactants
  • To write the rate law expression based on the RDS:
    1. Identify the RDS in the reaction mechanism
    2. Write the rate law expression for the RDS using the concentrations of the reactants involved in that step
    3. The overall rate law will have the same form as the rate law for the RDS
  • The order of the reaction with respect to each reactant is determined by the exponents in the rate law expression
    • The sum of the exponents gives the overall order of the reaction (, , etc.)

Molecularity vs reaction order

  • is the number of reactant molecules that participate in an elementary reaction
    • involve one reactant molecule
    • involve two reactant molecules
    • involve three reactant molecules (rare)
  • For elementary reactions, the molecularity equals the order of the reaction
    • A elementary reaction is first-order
    • A elementary reaction is second-order
  • For multi-step reaction mechanisms, the overall reaction order is determined by the RDS
    • The molecularity of the RDS determines the order of the overall reaction
  • The overall reaction order can differ from the molecularity of the individual steps in the mechanism

Key Terms to Review (32)

Activation Energy: Activation energy is the minimum amount of energy required for a chemical reaction to occur. This energy barrier must be overcome for reactants to transform into products, making it a crucial concept in understanding how and why reactions happen at different rates under various conditions.
Arrhenius equation: The Arrhenius equation is a mathematical formula that expresses the relationship between the rate constant of a chemical reaction and temperature, highlighting the role of activation energy. This equation shows that as temperature increases, the rate constant typically increases, which directly affects reaction rates. The equation is crucial in understanding how various factors influence reaction kinetics and mechanisms.
Bimolecular: Bimolecular refers to a reaction or process involving two molecules that participate in a chemical reaction. This term is key when examining the mechanisms of reactions, particularly in understanding how molecular collisions lead to the formation of products. In bimolecular reactions, the rate often depends on the concentrations of both reactants, highlighting the importance of both molecules in determining the overall reaction rate.
Bimolecular reactions: Bimolecular reactions are chemical reactions that involve two reactant species in the rate-determining step of the reaction mechanism. These reactions can occur through a direct collision of two reactant molecules, or they can involve a single molecule that rearranges in such a way that it acts like two reactants. The significance of bimolecular reactions lies in their impact on the overall reaction rate and the complexity of the reaction mechanism.
Collision theory: Collision theory explains how chemical reactions occur and why reaction rates differ. It states that for a reaction to happen, reactant particles must collide with sufficient energy and proper orientation. Understanding collision theory helps in analyzing reaction mechanisms, determining factors that affect rates, and establishing rate laws and reaction orders.
Elementary Reactions: Elementary reactions are the simplest types of reactions that occur in a chemical process, involving a single step where reactants directly form products without any intermediate stages. Each elementary reaction has a specific molecularity, describing the number of reactant molecules involved in that step. These reactions are fundamental to understanding the overall mechanism of a chemical reaction, as they provide insight into how reactants transform into products and help identify the rate-determining step.
Elementary Step: An elementary step is a single, simple reaction in a reaction mechanism that describes a direct interaction between reactants to form products. Each elementary step represents a specific event in the overall process, which together illustrate how reactants are transformed into products through a series of smaller, manageable reactions. The collection of these elementary steps provides insight into the mechanism of the reaction, including the pathways and intermediates involved.
First-order: First-order refers to a type of reaction kinetics where the rate of the reaction is directly proportional to the concentration of one reactant. This means that if the concentration of that reactant changes, the rate of reaction changes at the same rate. In this context, understanding first-order kinetics is crucial for dissecting reaction mechanisms and identifying the rate-determining step, which is the slowest step that controls the overall speed of a chemical reaction.
Heterogeneous catalyst: A heterogeneous catalyst is a substance that increases the rate of a chemical reaction without being consumed, and exists in a different phase than the reactants, typically as a solid while the reactants are gases or liquids. This phase difference allows for easier separation of the catalyst from the products after the reaction, and plays a crucial role in influencing the activation energy and the pathway of the reaction.
Homogeneous catalyst: A homogeneous catalyst is a catalyst that exists in the same phase as the reactants in a chemical reaction, typically in a liquid solution. This type of catalyst allows for uniform interaction with the reactants, facilitating the reaction without being consumed in the process. The use of homogeneous catalysts often leads to increased reaction rates and can influence the reaction mechanisms and rate-determining steps by providing alternative pathways for the reaction to occur.
Intermediate: An intermediate is a transient species formed during a chemical reaction that exists between the reactants and products. Intermediates are typically unstable and cannot be isolated under normal conditions, playing a crucial role in the overall mechanism of the reaction and influencing the rate at which the reaction proceeds.
Intermediates: Intermediates are species that are formed during the course of a chemical reaction and are not present in the final products. They often exist for a short duration and can be critical to understanding the overall reaction mechanism. The presence of intermediates helps to explain the stepwise process through which reactants transform into products, providing insight into the rate-determining steps that control the speed of the reaction.
Molecularity: Molecularity refers to the number of reactant molecules that participate in an elementary reaction. It is an important concept because it helps to categorize reactions based on how many molecules collide and react simultaneously. Understanding molecularity is crucial for analyzing reaction mechanisms, as it can indicate whether a reaction is unimolecular, bimolecular, or termolecular, which impacts the rate-determining step in a reaction sequence.
Multi-step reaction mechanism: A multi-step reaction mechanism is a series of elementary reactions that describe how reactants are converted into products through several intermediate stages. This process provides insight into the sequence of molecular events and the energy changes that occur, highlighting the complexity of chemical reactions beyond a simple one-step process. Understanding these mechanisms is crucial for determining reaction rates and identifying the rate-determining step, which is the slowest step that controls the overall reaction rate.
Order of Reaction: The order of reaction is a key concept in chemical kinetics that indicates the relationship between the concentration of reactants and the rate of a chemical reaction. It is determined by the powers to which the concentration terms are raised in the rate law equation. The order can provide insights into the underlying reaction mechanisms and help identify the rate-determining step, which is the slowest step that dictates the overall reaction rate.
Rate Constant: The rate constant is a proportionality factor in a rate law that relates the rate of a chemical reaction to the concentration of the reactants. It is a crucial parameter that influences how fast a reaction occurs and can vary based on factors such as temperature and the presence of catalysts. The rate constant helps to define the relationship between the speed of a reaction and its mechanism, providing insights into how reaction pathways are determined and how changes in conditions affect reaction rates.
Rate law: A rate law is an equation that relates the rate of a chemical reaction to the concentration of its reactants. It describes how the speed of a reaction depends on the amounts of reactants present, and it is determined experimentally. The rate law provides insights into the reaction order and can indicate the reaction mechanism, helping to identify which reactants are involved in the rate-determining step.
Rate-determining step: The rate-determining step is the slowest step in a reaction mechanism that controls the overall reaction rate. It acts as a bottleneck, meaning that the speed at which the entire reaction can proceed is limited by this specific step, regardless of how fast the other steps occur. Understanding the rate-determining step helps in predicting how changes in conditions, such as concentration or temperature, can affect the overall reaction rate.
Rate-Determining Step (RDS): The rate-determining step is the slowest step in a reaction mechanism that determines the overall rate of the reaction. It acts as a bottleneck, meaning that even if other steps are faster, the rate of the entire reaction cannot exceed that of this step. This concept is crucial for understanding how reaction mechanisms operate and how various factors can influence reaction rates.
Reaction mechanism: A reaction mechanism is a step-by-step description of the sequence of events that occur during a chemical reaction, outlining the individual elementary steps that lead to the overall transformation of reactants into products. Understanding the reaction mechanism allows chemists to predict reaction rates and the influence of various factors on these rates, including temperature and concentration. It also provides insight into the molecular changes that take place at each stage of the reaction.
Reaction mechanisms: Reaction mechanisms describe the step-by-step sequence of elementary reactions by which overall chemical changes occur. Understanding reaction mechanisms is crucial as they reveal how reactants convert into products, the intermediates formed during the process, and the transition states involved. This knowledge connects closely with activation energy, which is the energy required to initiate a reaction, and the Arrhenius equation, which relates this energy to the rate of reaction. Additionally, the rate-determining step within a mechanism determines the overall speed of the reaction.
Second-order: Second-order refers to a classification of chemical reactions where the rate of reaction is proportional to the concentration of either one reactant squared or to the product of the concentrations of two different reactants. This type of reaction involves more complex mechanisms than first-order reactions, often indicating that two molecules are involved in the rate-determining step, which is crucial for understanding the overall process of a reaction and how it proceeds at the molecular level.
Slow step: A slow step in a reaction mechanism is the step that takes the longest time to occur, thereby determining the overall rate of the reaction. It is often referred to as the rate-determining step because it controls how fast the entire reaction proceeds. Understanding which step is the slow one is crucial for predicting reaction rates and mechanisms, as it highlights where bottlenecks occur in the process.
Sn1 mechanism: The SN1 mechanism is a type of nucleophilic substitution reaction characterized by a two-step process where the rate-determining step involves the formation of a carbocation intermediate. This mechanism typically occurs in tertiary or secondary alkyl halides where the leaving group departs first, creating a positively charged carbocation that is subsequently attacked by a nucleophile. Understanding this mechanism is crucial for grasping how reaction rates and reaction pathways are influenced by the stability of intermediates and the nature of the substrates involved.
Sn2 mechanism: The sn2 mechanism is a type of nucleophilic substitution reaction where a nucleophile attacks an electrophile, resulting in the simultaneous displacement of a leaving group. This mechanism is characterized by a single concerted step, where bond formation and bond breaking occur simultaneously, leading to an inversion of configuration at the carbon center. Understanding this mechanism is crucial for grasping reaction mechanisms and identifying the rate-determining steps involved in chemical reactions.
Steady-State Approximation: The steady-state approximation is a method used in reaction kinetics to simplify the analysis of complex reaction mechanisms by assuming that the concentration of intermediate species remains constant over time. This assumption allows chemists to focus on the rate-determining step and derive rate laws without needing to track every transient species formed during the reaction. By treating intermediates as if they are in a steady state, this approach provides a clearer understanding of how the overall reaction progresses.
Termolecular: Termolecular refers to a type of elementary reaction step that involves the simultaneous collision of three reactant molecules. While most reactions occur through bimolecular (two molecules) or unimolecular (one molecule) steps, termolecular steps are less common due to the low probability of three molecules colliding with the correct orientation and energy at the same time. Understanding termolecular processes is essential in analyzing reaction mechanisms and identifying the rate-determining steps in chemical reactions.
Termolecular Reactions: Termolecular reactions are chemical reactions that involve three reactant molecules colliding simultaneously to form products. This type of reaction is quite rare because the likelihood of three particles colliding at the exact same time and with the correct orientation is low compared to unimolecular and bimolecular reactions. Understanding termolecular reactions is important as they often play a significant role in reaction mechanisms and can influence the rate-determining steps in complex reaction pathways.
Transition state: The transition state is a temporary, unstable configuration of atoms that occurs during a chemical reaction, representing the highest energy point along the reaction pathway. This state is crucial for understanding how reactants are converted into products, as it helps to determine the activation energy needed for the reaction to proceed and influences the overall reaction mechanism.
Transition State: A transition state is a high-energy, unstable configuration of atoms that exists momentarily during a chemical reaction as reactants are transformed into products. This state is crucial in understanding reaction kinetics because it represents the maximum energy barrier that must be overcome for a reaction to proceed, connecting it to activation energy and how reactions are governed by their mechanisms.
Unimolecular: Unimolecular refers to a type of chemical reaction mechanism in which a single molecule undergoes a transformation to form products. This process typically involves the breaking and forming of bonds within that single molecule, without the direct involvement of other reactants. Understanding unimolecular reactions helps in analyzing the rate of reaction and how these mechanisms dictate the overall kinetics.
Unimolecular Reactions: Unimolecular reactions are a type of chemical reaction where a single reactant molecule undergoes a transformation to produce one or more products. This process is characterized by a rate that depends only on the concentration of that one reactant, making it distinct from bimolecular or termolecular reactions that involve two or more molecules. Understanding unimolecular reactions is crucial for analyzing reaction mechanisms and identifying the rate-determining step, which is the slowest step in a sequence of reactions that dictates the overall rate.
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