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Free Energy 1e (Snee)
What is the role of mathematics in Chemistry? We use math to reveal relationships that exist in nature that cannot be determined by any other reasonable means. Often Physical Chemistry is the last stop on the way to your degree, and you probably put this class off till last due to an irrational fear of mathematics. And while it may be true that calculus derivations are not your “thing”, if you’re good at this, you might get a better, higher paying job. So, it’s worth the effort.
- Author
- Preston Snee
- Publisher
- University of Illinois Chicago
- Source
- LibreTexts
- License
- CC BY-NC
- Language
- EN
- Category
- Basic Sciences
Contents· 83 sections
- 01: Gas Equations of State
- 1.01: Units and the Perfect Gas Law
- 1.02: Van der Waals Equation
- 1.03: The Virial Equation
- 1.04: Phase Transitions
- 1.05: Corresponding States
- 02: Energy
- 2.01: Work and the inexact differential
- 2.02: Reversible and Irreversible Transitions
- 2.03: Exact and Inexact Partials and Eulers Test
- 2.04: Internal Energy (U) and the Equipartition Theorem
- 2.05: Heat Transactions Heat Capacity and Adiabatic Systems
- 03: Enthalpy Legendre Transforms and Thermodynamic Proofs
- 3.01: Enthalpy and Changing Functions
- 3.02: Heat Capacities
- 3.03: Natural Variables and Legendre Transforms
- 3.04: The Joule and Joule-Thomson Experiments
- 04: Entropy and the 2nd Law
- 4.01: Introduction to Entropy
- 4.02: Entropy inside and outside- The 2nd Law and the Clausius Inequality
- 4.03: Calculating Entropy Changes
- 4.04: The Car Engine and the Carnot Cycle
- 4.05: Maxwell Relationships
- 4.6: Maxwell Relationships
- 05: Helmholtz and Gibbs Energy
- 5.01: Helmholtz Energy (and The Clausius Inequality Pt. II)
- 5.02: Gibbs Energy
- 5.03: Calculations- Numerical and Derivations
- 5.04: Advanced Derivations- Maxwell Relationships II
- 06: Chemical Thermodynamics
- 6.01: Entropy and the 3rd Law
- 6.02: Energy its all relative
- 6.03: Enthalpy and Gibbs Energy of Formation- Hesss Law examples
- 6.04: Chemical reactions and chemical potential
- 6.05: Equilibrium Constants
- 07: Solutions and Colligative Properties
- 7.01: Partial Vapor Pressure
- 7.02: Partial Pressure Measurements and Raoults Law
- 7.03: Excess Functions and Ideal Solutions
- 7.04: Henrys Law Activity and Ideal-Dilute Solutions
- 7.05: Colligative Properties
- 08: Phase Changes
- 8.01: The Gibbs Phase Rule
- 8.02: Entropy is the reason phase changes occur
- 8.03: Other examples of phase changes
- 09: Surfaces Interfaces and Electrochemistry
- 9.01: Surfaces and Surface Energy
- 9.02: Surface Expansion Work
- 9.03: Electrochemistry and the Nernst Equation
- 10: The Kinetic Theory of Gas
- 10.01: Probability vs. Probability Distribution
- 10.02: The Boltzmann Distribution
- 10.03: Average and RMS Velocities
- 10.04: Average relative velocity and collision frequency
- 10.05: Appendix
- 11: Boltzmann Statistics
- 11.01: The Black body Radiator
- 11.02: Heat Capacity of Solids
- 12: Introduction to the Schrodinger Equation
- 12.01: Einsteins Theory of Relativity
- 12.02: The Schrodinger Equation
- 12.03: Born interpretation
- 12.04: The Eigenvalue Equation and operators
- 12.05: The Freewave Potential
- 13: Potential Surfaces and the Heisenberg Uncertainly Principle
- 13.01: Potential Energy Surfaces
- 13.02: Complex Potential Energy Surfaces- Vibration
- 13.03: Uncertainty and Superposition- Wavefunctions as Waves
- 14: Multidimensional Quantum Mechanics and Rotation
- 14.01: Multidimensional Free waves and the Particle in a Cube
- 14.02: Rotational Quantum Mechanics- Introduction
- 14.03: Wavefunctions
- 14.04: Spin Angular Momentum
- 14.05: Angular Momentum Operators
- 14.06: Addition of Angular Momentum and Term Symbols
- 15: The Hydrogen Atom
- 15.01: The Bohr Model
- 15.02: The Hydrogen Schrodinger Equation
- 15.03: Hydrogen Radial Wavefunctions
- 15.04: Spin-Orbit Coupling
- 15.05: Spectroscopy
- 15.06: Multielectron Atoms and Exchange
- 15.07: Appendix