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Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

3.0K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation  between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
3.0K
Entropy02:39

Entropy

30.8K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
30.8K
Third Law of Thermodynamics02:38

Third Law of Thermodynamics

19.4K
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
19.4K
The Second Law of Thermodynamics01:14

The Second Law of Thermodynamics

5.5K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
5.5K
Second Law of Thermodynamics02:49

Second Law of Thermodynamics

24.2K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...
24.2K
Standard Entropy Change for a Reaction03:00

Standard Entropy Change for a Reaction

20.8K
Entropy is a state function, so the standard entropy change for a chemical reaction (ΔS°rxn) can be calculated from the difference in standard entropy between the products and the reactants.
20.8K

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Related Experiment Video

Updated: Aug 31, 2025

Evolution of Staircase Structures in Diffusive Convection
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Evolution of Staircase Structures in Diffusive Convection

Published on: September 5, 2018

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Connecting entropy scaling and density scaling.

Ian H Bell1, Robin Fingerhut2, Jadran Vrabec2

  • 1Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA.

The Journal of Chemical Physics
|August 20, 2022
PubMed
Summary

Residual entropy is directly linked to density scaling, offering a new perspective on molecular interactions. This study explores this connection for various molecular models, revealing insights into the dilute-gas limit.

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Area of Science:

  • Thermodynamics and Statistical Mechanics
  • Computational Chemistry
  • Materials Science

Background:

  • Residual entropy, defined as the difference between actual entropy and ideal gas entropy at the same conditions, is crucial for understanding fluid behavior.
  • Density scaling is a powerful tool for analyzing the thermodynamic properties of fluids.
  • Linking these two concepts can provide deeper insights into inter molecular interactions.

Purpose of the Study:

  • To establish the relationship between residual entropy and density scaling.
  • To investigate the effective hardness of interaction using residual entropy as a key variable.
  • To explore these relationships in Lennard-Jones models and molecular models of carbon dioxide.

Main Methods:

  • Calculating residual entropy for various molecular models.
  • Analyzing density scaling exponents in relation to molecular properties.
  • Deriving effective hardness of interaction at constant residual entropy.

Main Results:

  • A strong correlation was found between residual entropy and the independent variable of density scaling.
  • The effective hardness of interaction was successfully studied for Lennard-Jones systems and carbon dioxide models.
  • The density scaling exponent was observed to be related to two-body interactions in the dilute-gas limit.

Conclusions:

  • Residual entropy and density scaling are closely related concepts, offering complementary views on fluid behavior.
  • The study provides a framework for understanding inter molecular interactions through residual entropy and effective hardness.
  • The findings highlight the importance of two-body interactions in the dilute-gas regime for density scaling properties.