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Gas Thermometers and the Kelvin Scale01:22

Gas Thermometers and the Kelvin Scale

The definition of temperature in terms of molecular motion suggests that there should be a lowest possible temperature, where the average kinetic energy of molecules is zero (or the minimum allowed by quantum mechanics). Experiments confirm the existence of such a temperature, called absolute zero. An absolute temperature scale is one whose zero point is absolute zero. Such scales are convenient in science because several physical quantities, such as the volume of an ideal gas, are directly...
Absorption of Radiation01:05

Absorption of Radiation

The rate of heat transfer by emitted radiation is described by the Stefan-Boltzmann law of radiation:
Kinetic Molecular Theory: Molecular Velocities, Temperature, and Kinetic Energy03:07

Kinetic Molecular Theory: Molecular Velocities, Temperature, and Kinetic Energy

The kinetic molecular theory qualitatively explains the behaviors described by the various gas laws. The postulates of this theory may be applied in a more quantitative fashion to derive these individual laws.
Ideal Gas Equation01:17

Ideal Gas Equation

The ideal gas equation is an equation of state that relates the state variables pressure, volume, temperature, and the number of moles of a hypothetical gas. This equation is a combination of four empirical laws, namely Boyle’s Law, Charles’s Law, Avogadro’s Law, and Gay-Lussac’s Law. When the proportionalities of the above four empirical laws are combined, it results in a single proportionality constant known as the universal gas constant.
Clausius-Clapeyron Equation02:35

Clausius-Clapeyron Equation

The equilibrium between a liquid and its vapor depends on the temperature of the system; a rise in temperature causes a corresponding rise in the vapor pressure of its liquid. The Clausius-Clapeyron equation gives the quantitative relation between a substance’s vapor pressure (P) and its temperature (T); it predicts the rate at which vapor pressure increases per unit increase in temperature.
Maxwell's Thermodynamic Relations01:23

Maxwell's Thermodynamic Relations

Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
All thermodynamic potentials are exact differentials. Therefore, their second-order...

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Related Experiment Video

Updated: Jul 10, 2026

Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames
10:29

Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames

Published on: June 1, 2016

The Kelvin equation.

A Ch Mitropoulos

    Journal of Colloid and Interface Science
    |October 24, 2007
    PubMed
    Summary

    The Kelvin equation accurately describes capillary condensation/evaporation for menisci larger than 40 Angstroms. Smaller radii show deviations, suggesting refinements like Broekhoff and de Boer analysis are needed for accurate predictions.

    Area of Science:

    • Physical Chemistry
    • Materials Science
    • Surface Science

    Background:

    • Investigates capillary condensation and evaporation phenomena.
    • Utilizes small angle X-ray scattering (SAXS) for in-situ measurements.
    • Employs indirect Fourier transformation (IFT) for scattering data analysis.

    Discussion:

    • Compares experimental SAXS data with Kelvin equation predictions.
    • Identifies the limit of Kelvin equation validity for meniscus radii.
    • Quantifies deviations between SAXS/IFT and Kelvin predictions for smaller radii.

    Key Insights:

    • The Kelvin equation holds for menisci with mean radius of curvature down to approximately 40 Angstroms.
    • Significant discrepancies (~25%) arise between SAXS/IFT and Kelvin predictions for radii between 40 and 30 Angstroms.

    More Related Videos

    Comparative Study of Simulation of Temperature Rise in Ring Main Unit
    04:35

    Comparative Study of Simulation of Temperature Rise in Ring Main Unit

    Published on: July 5, 2024

    Related Experiment Videos

    Last Updated: Jul 10, 2026

    Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames
    10:29

    Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames

    Published on: June 1, 2016

    Comparative Study of Simulation of Temperature Rise in Ring Main Unit
    04:35

    Comparative Study of Simulation of Temperature Rise in Ring Main Unit

    Published on: July 5, 2024

  • Broekhoff and de Boer analysis shows potential for improving predictions in this critical size range.
  • Outlook:

    • Further validation of advanced models like Broekhoff and de Boer is warranted.
    • Understanding deviations from Kelvin equation is crucial for accurate pore size analysis.
    • Schematic representation of adsorption hysteresis provides context for capillary phenomena.