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Table of Contents of Lecture 13

• Slide 13.01: Welcome - Slide - Video timestamp

• Slide 13.02: Review: Stable-Equilibrium Properties of Mixtures - Slide - Video timestamp

• Slide 13.03: Review: Properties of Isothermobaric Mixing - Slide - Video timestamp

• Slide 13.04: Review: Lennard-Jones Potential - Slide - Video timestamp

• Slide 13.05: Review: Ideal Gibbs-Dalton Behavior - Slide - Video timestamp

• Slide 13.06: Review: Ideal Gibbs-Dalton Mixtures of Ideal Gases - Slide - Video timestamp

• Slide 13.07: Review: Mixing of Ideal Gases; Entropy of Mixing - Slide - Video timestamp

• Slide 13.08: Review: Adiabatic Availability of Mixing - Slide - Video timestamp

• Slide 13.10: Semipermeable Membranes - Slide - Video timestamp

• Slide 13.11: Gibbs Paradox (Resolved) - Slide - Video timestamp

• Slide 13.12: Information Theory Interpretation: Shannon Entropy - Slide - Video timestamp

• Slide 13.13: Quantum Model of a Structureless Particle in a Box - Slide - Video timestamp

• Slide 13.14: Energy and Entropy from Quantum Probabilities - Slide - Video timestamp

• Slide 13.15: Steepest Entropy Ascent Evolution of Probabilities - Slide - Video timestamp

• Slide 13.16: Ideal Gas Equation of State for a Single Particle - Slide - Video timestamp

• Slide 13.17: Introducing Ideal Solution Behavior - Slide - Video timestamp

FAQs for Lecture 13

Analytical Index of Lecture 13 Contents

• Adiabatic availability of mixing ideal gases - Slide - Video timestamp

• Avogadro's number - Slide - Video timestamp

• Boltzmann constant - Slide - Video timestamp

• Boltzmann constant - Slide - Video timestamp

• Canonical distribution of probabilities - Slide - Video timestamp

• Canonical distribution of probabilities - Slide - Video timestamp

• Directional pressured for a single particle in a box - Slide - Video timestamp

• Energy vs entropy diagram for a seven level quantum system - Slide - Video timestamp

• Energy vs entropy diagram negative temperatures - Slide - Video timestamp

• Entropy generated in mixing ideal gases - Slide - Video timestamp

• Entropy in terms of probabilities - Slide - Video timestamp

• Entropy in terms of quantum probabilities - Slide - Video timestamp

• Entropy in terms of quantum probabilities - Slide - Video timestamp

• Entropy of spontaneus mixing of ideal gases - Slide - Video timestamp

• Entropy of spontaneus mixing of ideal gases - Slide - Video timestamp

• Equipartition theorem - Slide - Video timestamp

• Fourth law of Thermodynamics steepest-entropy-ascent time evolution towards stable equilibrium - Slide - Video timestamp

• Fundamental relation for a single particle in a box - Slide - Video timestamp

• Fundamental relation when volume is the only important parameter - Slide - Video timestamp

• Gas constant - Slide - Video timestamp

• Gibbs paradox - Slide - Video timestamp

• Gibbs relation for a single particle in a box - Slide - Video timestamp

• Ideal gas equation of state for a single particle in a box - Slide - Video timestamp

• Ideal gas model and Lennard-Jones potential - Slide - Video timestamp

• Ideal Gibbs-Dalton mixture behavior - Slide - Video timestamp

• Ideal solution behavior - Slide - Video timestamp

• Information theory interpretation - Slide - Video timestamp

• Jaynes, Edwin T. - Slide - Video timestamp

• Lagrange multipliers, method - Slide - Video timestamp

• Lennard-Jones potential ideal solution behavior - Slide - Video timestamp

• Lennard-Jones potential model of intermolecular forces - Slide - Video timestamp

• Mixing and demixing of ideal gases - Slide - Video timestamp

• Mixtures properties from properties of mixing - Slide - Video timestamp

• Modeling how nonequilibrium states evolve in time - Slide - Video timestamp

• Nonequilibrium states modeling time evolution - Slide - Video timestamp

• Partition function - Slide - Video timestamp

• Partition function - Slide - Video timestamp

• Pressure for a single particle in a box - Slide - Video timestamp

• Semipermeable membranes - Slide - Video timestamp

• Shannon information entropy - Slide - Video timestamp

• Steepest-entropy-ascent time evolution towards stable equilibrium - Slide - Video timestamp

• Surprise - Slide - Video timestamp

• Time evolution towards stable equilibrium - Slide - Video timestamp

• Tribus, Myron - Slide - Video timestamp

• Upper bounded vs unbounded energy spectrum - Slide - Video timestamp

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