
External
Kinetics
- Publisher
- Pacific Union College
- Source
- LibreTexts
- Language
- EN
- Category
- Basic Sciences
Contents· 85 sections
- 01: Boltzmann
- 02: Boltzmann Statistics
- 2.01: The Independent-Molecule Approximation
- 2.02: The Probability of An Energy Level at Constant N, V, and T
- 2.03: The Population Sets of a System at Equilibrium at Constant N, V, and T
- 2.04: How can Infinitely Many Probabilities Sum to Unity?
- 2.05: The Total Probability Sum at Constant N, V, and T
- 2.06: The Most Probable Population Set at Constant N, V, and T
- 2.07: The Microstates of a Given Population Set
- 2.08: The Probabilities of Microstates that Have the Same Energy
- 2.09: The Probabilities of the Population Sets of an Isolated System
- 2.10: Entropy and Equilibrium in an Isolated System
- 2.11: Thermodynamic Probability and Equilibrium in an Isomerization Reaction
- 2.12: The Degeneracy of an Isolated System and Its Entropy
- 2.13: The Degeneracy of an Isolated System and its Entropy
- 2.14: Effective Equivalence of the Isothermal and Constant-energy Conditions
- 2.15: Problems
- 03: The Boltzmann Distribution Function
- 3.01: Finding the Boltzmann Equation
- 3.02: Lagrange's Method of Undetermined Multipliers
- 3.03: Deriving the Boltzmann Equation I
- 3.04: Deriving the Boltzmann Equation II
- 3.05: Partition Functions and Equilibrium - Isomeric Molecules
- 3.06: Finding ß and the Thermodynamic Functions for Distinguishable Molecules
- 3.07: The Microscopic Model for Reversible Change
- 3.08: The Third Law of Thermodynamics
- 3.09: The Partition Function for a System of N Molecules
- 3.10: Problems
- 04: Some Basic Applications of Statistical Thermodynamics
- 4.01: Interpreting the Partition Function
- 4.02: Conditions under which Integrals Approximate Partition Functions
- 4.03: Probability Density Functions from the Energies of Classical-mechanical Models
- 4.04: Partition Functions and Average Energies at High Temperatures
- 4.05: Energy Levels for a Three-dimensional Harmonic Oscillator
- 4.06: Energy and Heat Capacity of the "Einstein Crystal"
- 4.07: Applications of Other Entropy Relationships
- 4.08: Problems
- 05: The Ensemble Treatment
- 5.01: Ensembles of N-molecule Systems
- 5.02: The Ensemble Entropy and the Value of ß
- 5.03: The Thermodynamic Functions of the N-molecule System
- 06: The Distribution of Gas Velocities
- 6.01: Distribution Functions for Gas-velocity Components
- 6.02: Probability Density Functions for Velocity Components in Spherical Coordinates
- 6.03: Maxwell's Derivation of the Gas-velocity Probability-density Function
- 6.04: The Probability-density Function for Gas Velocities in One Dimension
- 6.05: Combining the One-dimensional Probability Density Functions
- 6.06: Boyle's Law from the Maxwell-Boltzmann Probability Density
- 6.07: Experimental Test of the Maxwell-Boltzmann Probability Density
- 6.08: Statistics for Molecular Speeds
- 6.09: Pressure Variations for Macroscopic Samples
- 6.10: Collisions between Gas Molecules Relative Velocity Coordinates
- 6.11: The Probability Density Function for the Relative Velocity
- 6.12: The Frequency of Collisions between Unlike Gas Molecules
- 6.13: The Rate of Collisions between Unlike Gas Molecules
- 6.14: Collisions between like Gas Molecules
- 6.15: The Geometry of A Collision between Spherical Molecules
- 6.16: The Energy of A Collision between Gas Molecules
- 6.17: Problems
- 07: Diffusion
- 08: Chemical Kinetics
- 8.01: Reaction Rates
- 8.02: Reaction Order
- 8.03: Molecularity of a Reaction
- 8.04: More Complex Reactions
- 8.05: The Effect of Temperature on Reaction Rates
- 8.06: Potential Energy Surfaces
- 8.07: Theories of Reaction Rates
- 8.08: Isotope Effects in Chemical Reactions
- 8.09: Reactions in Solution
- 8.10: Fast Reactions in Solution
- 8.11: Oscillating Reactions
- 8.E: Chemical Kinetics (Exercises)
- 09: Enzyme Kinetics
- 9.01: General Principles of Catalysis
- 9.02: The Equations of Enzyme Kinetics
- 9.03: Chymotrypsin- A Case Study
- 9.04: Multisubstrate Systems
- 9.05: Enzyme Inhibition
- 9.06: Allosteric Interactions
- 9.07: The Effect of pH on Enzyme Kinetics
- 9.08: The Effect of Temperature on Enzyme Kinetics
- 9.E: Exercises
- Numerical Solutions to Rate Laws
- Numerical Solutions