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Related Concept Videos

The Entropy as a State Function01:14

The Entropy as a State Function

95
Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
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Entropy01:18

Entropy

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The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
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Entropy02:39

Entropy

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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...
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Entropy Changes Accompanying Specific Processes01:21

Entropy Changes Accompanying Specific Processes

98
Entropy, a measure of disorder in a system, changes during phase transitions like freezing or boiling. At the transition temperature Ttrs, where two phases are in equilibrium, the phase transition is a reversible process. The entropy change can be calculated from a substance's enthalpy of transition using the equation ΔStrs = ΔtrsH /Ttrs.When a perfect gas expands isothermally from one volume to another, entropy increases logarithmically with volume. Conversely, isothermal compression...
98
Entropy and the Second Law of Thermodynamics01:26

Entropy and the Second Law of Thermodynamics

264
Consider an isolated system in which a hot object is placed in contact with a cold one. This is an irreversible process that eventually leads both objects to reach the same equilibrium temperature. It is crucial to note that the constituents of any substance exhibit increased disorder at higher temperatures. As a cold substance absorbs heat, its constituents become more disordered. The energy transfer from a hotter object to a cooler one increases the system's disorder or randomness. This...
264
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

5.3K
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...
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Related Experiment Video

Updated: Mar 29, 2026

Differential Scanning Calorimetry — A Method for Assessing the Thermal Stability and Conformation of Protein Antigen
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Calculation of Molecular Entropies Using Temperature Integration.

Kim Sharp1

  • 1E. R. Johnson Research Foundation, Dept. of Biochemistry and Biophysics, The Perelman School of Medicine at the University of Pennsylvania, Philadelphia, Pennsylvania 19104-6059, United States.

Journal of Chemical Theory and Computation
|November 21, 2015
PubMed
Summary

This study demonstrates that Clausius

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Computational Chemistry

Background:

  • Two definitions of entropy exist: Clausius' thermodynamic and Boltzmann-Gibbs statistical mechanical.
  • Calculating molecular entropy is crucial for understanding chemical and biological systems.

Purpose of the Study:

  • To present a computationally practical method for calculating molecular entropies using Clausius' definition.
  • To enable accurate entropy calculations for complex systems like biological molecules.

Main Methods:

  • Applied Clausius' thermodynamic definition for molecular entropy calculation.
  • Utilized temperature integration with a small number of large temperature steps.
  • Involved calculating the mean internal energy as the average system property.

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Main Results:

  • The quadrature for temperature integration can be performed accurately.
  • The method is computationally practical for systems with many degrees of freedom.
  • The Clausius method effectively decomposes total entropy changes.

Conclusions:

  • Clausius' definition offers a practical and insightful approach to entropy calculation.
  • The described temperature quenching protocol allows entropy evaluation in anharmonic and diffusive systems using existing force fields.
  • This method serves as a valuable benchmark for statistical mechanical approaches.