Dense Gases, Liquids and Solids

This course is part of Statistical Thermodynamics Specialization

Instructor: John W. Daily

What you'll learn

  •   Analyze the impact of intermolecular forces on the transition of gases to liquids as density increases
  •   Evaluate the stability of a thermodynamic system as it transitions from gas to liquid state in response to small perturbations
  •   Assess the role of the radial distribution function (RDF) in determining thermodynamic properties of liquids
  •   Describe the behavior of crystalline solids using simple statistical thermodynamics
  • Skills you'll gain

  •   Mathematical Modeling
  •   Engineering Calculations
  •   Simulations
  •   Chemical Engineering
  •   Physics
  •   Calculus
  •   Estimation
  •   Engineering Analysis
  • There are 4 modules in this course

    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.

    Thermodynamic Stability

    The radial distribution function, thermodynamic properties, and MD simulations of liquid properties

    Crystalline Solids

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