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Related Concept Videos

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Vapor Pressure

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When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules move randomly about, they will occasionally collide with the surface of the condensed phase, and in some cases, these collisions will result in the molecules re-entering the condensed phase. The change from the gas phase to the liquid is called condensation. When the rate of condensation becomes equal to the rate of vaporization, neither the amount of the liquid nor the amount of the vapor...
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The equilibrium vapor pressure of a liquid is the pressure exerted by its gaseous phase when vaporization and condensation are occurring at equal rates:
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Distillation: Vapor–Liquid Equilibria01:01

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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...
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The physical form of a substance changes by 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. For vaporization to occur, kinetic energy must be greater than the intermolecular forces that keep molecules bonded. The amount of energy needed to vaporize a quantity of liquid at a given pressure and a constant temperature is called the heat of vaporization. When...
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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...
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The pressure tensor across a liquid-vapour interface.

Carlos Braga1, Edward R Smith1, Andreas Nold1

  • 1Department of Chemical Engineering, Imperial College London, London SW7 2AZ, United Kingdom.

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This summary is machine-generated.

This study presents a new method to calculate the pressure tensor in inhomogeneous fluids, accurately describing surface tension at the molecular level. The findings are crucial for understanding fluctuating, non-equilibrium systems.

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Area of Science:

  • Statistical Mechanics
  • Physical Chemistry
  • Fluid Dynamics

Background:

  • Inhomogeneous fluids possess non-uniform and anisotropic properties.
  • The pressure tensor is essential for mechanically describing interfacial regions.
  • Previous work by Kirkwood & Buff and Irving & Kirkwood established methods for planar surfaces.

Purpose of the Study:

  • To generalize the Irving-Kirkwood formalism to fluctuating, non-planar surfaces.
  • To derive a pressure tensor expression unaffected by molecular-scale thermal fluctuations and capillary waves.
  • To observe the emergence of surface tension at molecular resolution.

Main Methods:

  • Generalization of the Irving-Kirkwood statistical mechanical approach.
  • Analysis of pressure across fluctuating, non-planar interfaces.
  • Derivation of a molecular-scale pressure tensor expression.

Main Results:

  • A novel expression for the pressure tensor in inhomogeneous fluids.
  • The pressure tensor is not smeared by thermal fluctuations or capillary waves.
  • Surface tension emerges as an excess tangential stress at the dividing surface with molecular resolution.

Conclusions:

  • The new statistical mechanical expressions accurately describe fluctuating inhomogeneous systems.
  • This work extends current treatments to systems far from equilibrium.
  • Provides a sharper molecular-scale understanding of interfacial phenomena.