Where k is the rate constant and m, n are the order of reaction with respect to A and B respectively
Example: Rate = k[H2]^2[O2]
Slide 3: Reaction Order
Definition of Reaction Order
Reaction Order for:
Zero Order
First Order
Second Order
Mixed Order
Example equations for each reaction order
Slide 4: Integrated Rate Laws
Definition of Integrated Rate Laws
Integrated Rate Laws for:
Zero Order
First Order
Second Order
Deriving equations and solving for concentration
Slide 5: Half-life
Introduction to Half-life
Formula for Half-life:
Zero Order: t1/2 = [A]0 / 2k
First Order: t1/2 = 0.693 / k
Second Order: t1/2 = 1 / k[A]0
Calculation of Half-life
Slide 6: Reaction Mechanisms
Definition of Reaction Mechanism
Elementary Reactions and Rate-Determining Step
Arrhenius Equation for Activation Energy
Rate Laws for Elementary Reactions
Slide 7: Catalysts
Introduction to Catalysts
Definition of Catalyst
Homogeneous Catalysts vs Heterogeneous Catalysts
Role of Catalysts in Chemical Kinetics
Examples of Common Catalysts
Slide 8: Temperature and Reaction Rate
Effect of Temperature on Reaction Rate
Activation Energy and its Significance
Arrhenius Equation: k = A * e^(-Ea/RT)
Graphical representation of the Arrhenius Equation
Slide 9: Concentration and Reaction Rate
Effect of Concentration on Reaction Rate
Collision Theory and Activation Energy
Rate law and Order of Reaction
Examples demonstrating the effect of concentration on reaction rate
Slide 10: Factors Affecting Reaction Rate
Effect of Surface Area on Reaction Rate
Effect of Pressure on Reaction Rate
Effect of Agitation on Reaction Rate
Effect of Catalysts on Reaction Rate
Examples illustrating the influence of these factors on reaction rate
Chemical Kinetics - Half-life for 2nd order reaction
Definition of Half-life for 2nd order reaction
Formula for Half-life for 2nd order reaction:
t1/2 = 1 / (k[A]0)
Where [A]0 is the initial concentration of reactant A
Example: Consider the reaction 2A → B with rate constant k. If the initial concentration of A is 0.1 M, calculate the half-life of the reaction.
Collision Theory
Explanation of Collision Theory
Factors influencing the Reaction Rate according to Collision Theory:
Collision Frequency
Orientation of Colliding Molecules
Energy of Collision (Activation Energy)
The role of Activation Energy in the Reaction Rate
Example: How does an increase in temperature affect the activation energy and the overall reaction rate?
Arrhenius Equation
Introduction to the Arrhenius Equation
Equation:
k = A * e^(-Ea/RT)
Where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
Importance of the Arrhenius Equation in Chemical Kinetics
Example calculation using the Arrhenius Equation to determine the rate constant at a given temperature.
Rate-Determining Step
Definition of Rate-Determining Step
Identification of the Slowest Step in a Reaction Mechanism
Role of Rate-Determining Step in the Overall Reaction Rate
Example: Consider the reaction A + B → C + D. If the mechanism consists of the steps A + B → X and X → C + D, which step is the rate-determining step?
Zero-Order Reactions
Explanation of Zero-Order Reactions
Characteristics of Zero-Order Reactions
Rate Law Equation: Rate = k
Graphical Representation of Zero-Order Reactions
Example: The decomposition of nitrogen pentoxide, 2N2O5 → 4NO2 + O2, follows a zero-order reaction. If the initial concentration of N2O5 is 0.4 M, calculate the concentration after 20 minutes.
First-Order Reactions
Explanation of First-Order Reactions
Characteristics of First-Order Reactions
Rate Law Equation: Rate = k[A]
Graphical Representation of First-Order Reactions
Example: The decomposition of ethyl chloride, C2H5Cl → C2H4 + HCl, follows a first-order reaction. If the rate constant is 0.03 s^-1, calculate the time it takes for the concentration of C2H5Cl to decrease by 75%.
Second-Order Reactions
Explanation of Second-Order Reactions
Characteristics of Second-Order Reactions
Rate Law Equation: Rate = k[A]^2
Graphical Representation of Second-Order Reactions
Example: The reaction between nitric oxide and hydrogen, 2NO + 2H2 → N2O + 2H2O, follows a second-order reaction with a rate constant of 0.05 M^-1s^-1. If the initial concentration of NO is 0.1 M, calculate the time it takes for the concentration of NO to decrease to 0.02 M.
Determining Reaction Order from Experimental Data
Analysis of Concentration vs Time Data
Method for determining reaction order:
Zero Order: Plot [A] vs Time
First Order: Plot ln[A] vs Time
Second Order: Plot 1/[A] vs Time
Example: Given the following concentration vs time data for a reaction, determine the reaction order. [A]0 = 0.2 M.
Time (s): 0, 10, 20, 30
[A] (M): 0.2, 0.1, 0.05, 0.025
Temperature Dependence of Reaction Rate Constant
Explanation of the Temperature Dependence of Rate Constant
Effect of Temperature on Average Kinetic Energy of Molecules
Collision Frequency and Activation Energy
Relationship between Temperature and Rate Constant: Arrhenius Equation
Example: The rate constant of a reaction is 0.02 s^-1 at 25°C and the activation energy is 50 kJ/mol. Calculate the rate constant at 50°C.
Factors Affecting Reaction Rate: Concentration
Influence of Reactant Concentration on Reaction Rate
Effect of Increasing Reactant Concentration on Collision Frequency
Rate Law Equation and Relation to Concentration
Example: The rate of a reaction is directly proportional to the square of the concentration of reactant A. If the concentration of A is doubled, how does it affect the reaction rate?
Chemical Equilibrium
Definition of Chemical Equilibrium
Forward and Reverse Reactions
Equilibrium Constant (K) and its Expression
Relationship between K and Reaction Quotient (Q)
Le Chatelier’s Principle and its Application to Equilibrium
Example: N2(g) + 3H2(g) ⇌ 2NH3(g). If the equilibrium constant (Kc) is 4.0 x 10^2, calculate the value of Kc for the reverse reaction.
Factors Affecting Equilibrium Position
Effect of Concentration on Equilibrium Position
Effect of Temperature on Equilibrium Position
Effect of Pressure (for gaseous reactions) on Equilibrium Position
Effect of Catalysts on Equilibrium Position
Examples illustrating the influence of these factors on the equilibrium position
Solubility Equilibrium
Definition of Solubility Equilibrium
Solubility Product (Ksp) and its Expression
Common Ion Effect and its Impact on Solubility
Calculating Solubility using Ksp
Example: Determine the solubility of lead(II) iodide (PbI2) in a solution with a Ksp of 2.5 x 10^-8.
Acid-Base Equilibria
Definition of Acid-Base Equilibria
Acid Dissociation Constant (Ka) and its Expression
Base Dissociation Constant (Kb) and its Expression
pH and pOH Calculations
Examples involving acid-base equilibria and pH calculations
Henderson-Hasselbalch Equation
Introduction to the Henderson-Hasselbalch Equation
Equation: pH = pKa + log ([A-]/[HA])
Calculations using the Henderson-Hasselbalch Equation
Applications of the Henderson-Hasselbalch Equation
Example: Calculate the pH of a solution containing 0.1 M acetic acid (CH3COOH) and 0.05 M sodium acetate (CH3COONa). The pKa of acetic acid is 4.76.
Buffer Solutions
Definition of Buffer Solutions
Composition of a Buffer Solution
Buffer Capacity and pH Range
Preparation of Buffer Solutions
Examples of Buffer Solutions in Biological Systems
Acid-Base Titrations
Introduction to Acid-Base Titrations
Equivalence Point and Endpoint in Titration
Indicator Selection and Use in Acid-Base Titrations
Calculations involving Acid-Base Titrations
Example: A 25 mL sample of HCl solution of unknown concentration is titrated with 0.1 M NaOH. The volume of NaOH required to reach the equivalence point is 20 mL. Calculate the concentration of HCl.
Redox Reactions
Definition of Redox Reactions
Oxidation and Reduction Half-Reactions
Balancing Redox Equations
Oxidizing and Reducing Agents
Examples of Redox Reactions in Everyday Life
Electrochemical Cells
Introduction to Electrochemical Cells
Half-Cells, Anode, and Cathode
Cell Potential (Ecell) and its Calculation
Nernst Equation and its Application
Example: Calculate the cell potential of a standard hydrogen electrode (SHE) when the concentration of H+ ions is 0.5 M at 25°C.
Standard Electrode Potentials
Definition of Standard Electrode Potentials
Reduction Potential (E°) and its Significance
Standard Hydrogen Electrode (SHE) as Reference
Tabulated Standard Electrode Potentials
Examples using Standard Electrode Potentials in Determining Cell Potential
Slide 1: Introduction Definition of Chemical Kinetics Importance of studying Chemical Kinetics What is Half-life in Chemical Kinetics? Types of reactions in Chemical Kinetics Rate of Reaction