Dense Gases, Liquids and Solids
Course 4 of Statistical Thermodynamics addresses dense gases, liquids, and solids. As the density of a gas is increased, intermolecular forces begin to affect behavior. For small departures from ideal gas behavior, known as the dense gas limit, one can estimate the change in properties using the concept of a configuration integral, a modification to the partition function. This leads to the development of equations of state that are expansions in density from the ideal gas limit. Inter molecular potential energy functions are introduced and it is explored how they impact P-V-T behavior.
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- Level Expert
- Duration 5 hours
- Course by University of Colorado Boulder
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Course 4 of Statistical Thermodynamics addresses dense gases, liquids, and solids. As the density of a gas is increased, intermolecular forces begin to affect behavior. For small departures from ideal gas behavior, known as the dense gas limit, one can estimate the change in properties using the concept of a configuration integral, a modification to the partition function. This leads to the development of equations of state that are expansions in density from the ideal gas limit. Inter molecular potential energy functions are introduced and it is explored how they impact P-V-T behavior. As the density is increased, there is a transition to the liquid state. We explore whether this transition is smooth or abrupt by examining the stability of a thermodynamic system to small perturbations. We then present a brief discussion regarding the determination of the thermodynamic properties of liquids using concept of the radial distribution function (RDF), and how the function relates to thermodynamic properties. Finally, we explore two simple models of crystalline solids.Modules
Video 1: The Configuration Integral and The Fundamental Relation
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- Dense Gases: The Configuration Integral and The Fundamental Relation
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- Dense Gases The Configuration Integral and The Fundamental Relation
Video 2: Property Relations including the Virial Equation of State
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Discussion
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Discussions
- Problem 8.2
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- Property Relations including the Virial Equation of State
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- Property Relations including the Virial Equation of State
Video 3: Potential Energy Functions
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- Potential Energy Functions
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- Potential Energy Functions
Video 4: Empirical Equations of State
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Discussion
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Discussions
- Problem 8.3
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- Empirical Equations of States
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- Empirical Equations of State
Video 1: The Basics of Thermodynamic Stability
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Assignment
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Assignment
- Problem 11.1
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- The Basics of Thermodynamic Stability
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- The Basics of Thermodynamic Stability
Video 2: First Order Phase Transitions and Finding the Vapor Dome
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Discussion
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- Problem 11.2
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- First Order Phase Transitions and Finding the Vapor Dome
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- First Order Phase Transitions and Finding the Vapor Dome
Video 3: Gibb's Phase Rule
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- Gibb's Phase Rule
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- Gibb's Phase Rule
Video 1: Liquids: Cells, The radial distribution function and thermodynamic properties
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- Liquids: Cells, The Radial Distribution Function and Thermodynamic Properties
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- Liquids: Cells, The Radial Distribution Function and Thermodynamic Properties
Video 2: Molecular Dynamics
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- Molecular Dynamics
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- Molecular Dynamics
Video 3: Determining g(r) from MD Simulations
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Discussion
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Discussions
- Problem 9.1
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- Determining g(r) from Molecular Dynamics
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- Determining g(r) from Molecular Dynamics
Video 1: Solids: The Einstein Monatomic Crystal
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Assignment
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Assignment
- Problem 10.2
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- Solids: The Einstein Crystal
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- Solids and the Einstein Crystal
Video 2: The Debye Crystal
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- Problem 10.1
- Problem 10.4
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- The Debye Crystal
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- The Debye Crystal
Auto Summary
Unlock the mysteries of dense gases, liquids, and solids with this advanced course, the fourth in the Statistical Thermodynamics series. Perfect for those immersed in the realms of Science and Engineering, this expert-level course dives deep into the behavior of gases as density increases and intermolecular forces come into play. You'll explore the dense gas limit, configuration integrals, and the development of state equations expanding from the ideal gas law. Engage with the intricate world of intermolecular potential energy functions and their influence on pressure-volume-temperature (P-V-T) behavior. As density continues to rise, discover the fascinating transition from gases to liquids, analyzing whether this shift is smooth or abrupt through thermodynamic stability considerations. The course also covers the determination of thermodynamic properties of liquids using the radial distribution function (RDF) and its relationship with these properties. Concluding with a study of two simple models of crystalline solids, this comprehensive 300-hour journey is designed for those seeking a deep understanding of advanced thermodynamic concepts. Offered by Coursera, this subscription-based course is available under the Starter plan, providing flexibility and access to a wealth of knowledge. Ideal for engineers, scientists, and advanced learners aiming to enhance their expertise in thermodynamics, this course promises to be a challenging yet rewarding educational experience.
John W. Daily