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pV-Diagrams01:18

pV-Diagrams

The pV diagram, which is a graph of pressure versus volume of the gas under study, is helpful in describing certain aspects of the substance. When the substance behaves like an ideal gas, the ideal gas equation describes the relationship between its pressure and volume. On a pV diagram, it is common to plot an isotherm, which is a curve showing p as a function of V with the number of molecules and the temperature fixed. Then, for an ideal gas, the product of the pressure of the gas and its...
Phase Transitions: Vaporization and Condensation02:39

Phase Transitions: Vaporization and Condensation

The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...
Two Components: Liquid–Liquid Systems01:27

Two Components: Liquid–Liquid Systems

A pressure-composition phase diagram explicitly describes the behavior of an ideal solution of two volatile liquids under varying pressures and compositions. A pressure-composition diagram has two main curves. The bubble point curve represents the plot of pressure versus liquid mole fraction. It indicates the pressure at which the first bubble of vapor forms from the liquid phase as the system pressure decreases.The dew point curve is the pressure versus vapor mole fraction. It indicates the...
Vapor Pressure of Fluid01:28

Vapor Pressure of Fluid

The vapor pressure of a fluid is a crucial concept in fluid mechanics, influencing phenomena such as boiling and cavitation. Vapor pressure refers to the pressure exerted by a vapor at a state of thermodynamic equilibrium with its corresponding liquid phase at a specific temperature. It represents the tendency of molecules to escape from the fluid surface into the vapor phase.
When a liquid is placed in a closed container with a small air space, and the space is evacuated, vapor molecules will...
Distillation: Vapor–Liquid Equilibria01:01

Distillation: Vapor–Liquid Equilibria

Distillation is a separation technique that takes advantage of the boiling point properties of disparate elements in a mixture. To perform distillation, we begin by heating a miscible mixture of two liquids with a significant difference in boiling points (at least 20°C). As the solution heats up and reaches the bubble point of the more volatile component, some molecules of the more volatile component transition into the gas phase and travel upward into the condenser, which is a glass tube with...
Nonideal Two-Component Liquid Solutions01:29

Nonideal Two-Component Liquid Solutions

Nonideal liquid solutions, also known as real solutions, do not strictly follow Raoult's law. Raoult's law is a rule of thumb in physical chemistry. However, not all mixtures adhere to this law due to varying molecular interactions. For example, in an acetone/chloroform solution, the individual vapor pressures of the components are lower than expected, resulting in a total vapor pressure below that predicted by Raoult's law, causing a negative deviation.On the other hand, in an ethanol/water...

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Related Experiment Video

Updated: Jun 25, 2026

A Microfluidic-based Hydrodynamic Trap for Single Particles
10:13

A Microfluidic-based Hydrodynamic Trap for Single Particles

Published on: January 21, 2011

Self-trapping at the liquid-vapor critical point: a path-integral study.

Bruce N Miller1, Terrence L Reese

  • 1Department of Physics and Astronomy, Texas Christian University, Fort Worth, Texas 76129, USA. b.miller@tcu.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 5, 2009
PubMed
Summary

Self-trapping significantly impacts low-mass particles in fluids near critical points. Quantum defects induce long-range density oscillations in the host fluid, influencing particle behavior.

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Last Updated: Jun 25, 2026

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Area of Science:

  • Quantum fluid dynamics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Self-trapping dominates low-mass particle behavior in liquids and supercritical fluids.
  • The liquid-vapor critical point is crucial but challenging to study due to high compressibility.

Purpose of the Study:

  • Investigate a generic self-trapped particle at a Lennard-Jones fluid's critical point.
  • Analyze the influence of particle-atom interaction range on particle and fluid properties.

Main Methods:

  • Path-integral computations for a generic self-trapped particle.
  • Analysis of particle-atom scattering length and interaction range.

Main Results:

  • Localized quantum defects have a wider influence on the host fluid at the critical point compared to higher temperatures.
  • Long-range density oscillations are induced in the fluid around the defect.
  • A minimum interaction range is required for self-trapping to occur at the critical point.

Conclusions:

  • Self-trapping is a key phenomenon at critical points, affecting fluid structure.
  • Findings offer insights into ortho-positronium behavior and pick-off decay rates.
  • Understanding interaction ranges is vital for predicting self-trapping phenomena.