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Thermodynamics: Activity Coefficient01:24

Thermodynamics: Activity Coefficient

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Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
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Statements of the Second Law of Thermodynamics01:15

Statements of the Second Law of Thermodynamics

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The second law of thermodynamics can be stated in several different ways, and all of them can be shown to imply the others. The Clausius’ statement of the second law of thermodynamics is based on the irreversibility of spontaneous heat flow. It states that heat will not flow from the colder body to the hotter body unless some other process is involved. Additionally, as per the Kelvin’s statement, it is impossible to convert the heat from a single source into work without any other...
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First Law of Thermodynamics02:16

First Law of Thermodynamics

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Energy Conservation
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First Law of Thermodynamics01:17

First Law of Thermodynamics

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A change in the internal energy of a system depends on the the net heat transfer into the system and the net work done by the system. The first law of thermodynamics, which is a generalized form of energy conservation, relates these three quantities mathematically. It states that the change in the internal energy equals the difference between the heat transfer and work done by the system.
The applied heat increases the internal energy of a system. Hence, conventionally heat is considered...
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First Law of Thermodynamics00:37

First Law of Thermodynamics

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The First Law of Thermodynamics states that energy cannot be created or destroyed, only transformed. This can be demonstrated within a classic food web where light energy from the sun is harnessed as radiant energy by plants, converted into chemical energy, and stored as complex carbohydrates. The vegetation is then consumed by animals and during the digestion process, the sugars release energy as heat. The sugars also produce chemical energy that either gets used up doing work, stored in...
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Second Law of Thermodynamics00:53

Second Law of Thermodynamics

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The Second Law of Thermodynamics states that entropy, or the amount of disorder in a system, increases each time energy is transferred or transformed. Each energy transfer results in a certain amount of energy that is lost—usually in the form of heat—that increases the disorder of the surroundings. This can also be demonstrated in a classic food web. Herbivores harvest chemical energy from plants and release heat and carbon dioxide into the environment. Carnivores harvest the...
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Related Experiment Video

Updated: Nov 27, 2025

Submillisecond Conformational Changes in Proteins Resolved by Photothermal Beam Deflection
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Submillisecond Conformational Changes in Proteins Resolved by Photothermal Beam Deflection

Published on: February 18, 2014

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The Correlation Production in Thermodynamics.

Sheng-Wen Li1,2

  • 1Center for Quantum Technology Research, School of Physics, Beijing Institute of Technology, Beijing 100081, China.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary
This summary is machine-generated.

Macroscopic irreversibility arises from increasing correlations within a system, not from changes in total entropy. This reconciles the apparent conflict between microscopic reversibility and macroscopic entropy increase in thermodynamics.

Keywords:
correlation productionentropy productionmacroscopic irreversibilitymicroscopic reversibilitymutual informationthermodynamics

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Area of Science:

  • Statistical Mechanics
  • Thermodynamics
  • Many-Body Physics

Background:

  • Macroscopic systems show irreversible behavior, contrasting with time-reversible microscopic dynamics (von Neumann/Liouville equations).
  • Standard thermodynamics observes entropy increase, posing a paradox with microscopic reversibility.

Purpose of the Study:

  • To resolve the apparent contradiction between microscopic reversibility and macroscopic irreversibility.
  • To explain the origin of entropy increase in macroscopic systems.

Main Methods:

  • Analyzing entropy production in open systems and relating it to system-environment correlations.
  • Examining correlation dynamics in isolated ideal gases during free diffusion.
  • Investigating particle collision effects on single-particle distributions and entropy.

Main Results:

  • Macroscopic entropy increase is equivalent to correlation production within the system or between the system and its environment.
  • In isolated systems, total entropy remains constant, while internal correlations increase, mirroring macroscopic entropy changes.
  • Correlation production successfully reproduces thermodynamic entropy increase in diffusion and collision examples.

Conclusions:

  • Macroscopic irreversibility is explained by increasing correlations, not by a change in the total entropy of an isolated system.
  • The study reconciles microscopic reversibility with macroscopic thermodynamic behavior.
  • Correlation production serves as the key link between microscopic dynamics and macroscopic irreversibility.