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Isochoric and Isobaric Processes01:21

Isochoric and Isobaric Processes

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A thermodynamic process that occurs at constant volume is called an isochoric process. According to the first law of thermodynamics, heat supplied or removed from the system is partially utilized to perform work and change the internal energy of the system. However, in an isochoric process, the volume remains constant. Hence, the work done by the system is zero. Therefore, the exchange of heat changes the internal energy of the system only. 
Suppose 1000 g of water is heated from 40...
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Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.1K
pV-Diagrams01:18

pV-Diagrams

4.1K
The pV diagram, which is a graph of pressure versus volume of the gas under study, is helpful in describing certain aspects of the substance. When the substance behaves like an ideal gas, the ideal gas equation describes the relationship between its pressure and volume. On a pV diagram, it is common to plot an isotherm, which is a curve showing p as a function of V with the number of molecules and the temperature fixed. Then, for an ideal gas, the product of the pressure of the gas and its...
4.1K
Isothermal Processes01:21

Isothermal Processes

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A thermodynamic process that occurs at constant temperature is called an isothermal process. Heat slowly flows into the system or out of the system to maintain thermal equilibrium. Processes involving phase changes like water evaporation into steam or freezing water into ice at a constant temperature are examples of Isothermal Processes.
An ideal gas can also undergo isothermal expansion or compression.
For example, consider 1 mole of an ideal gas inside an isolated cylinder at initial volume V...
3.6K
Kinetic Theory of an Ideal Gas01:12

Kinetic Theory of an Ideal Gas

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A mole is defined as the amount of any substance that contains as many molecules as there are atoms in exactly 12 grams of carbon-12. An Italian scientist Amedeo Avogadro (1776–1856) formed the  hypothesis that equal volumes of gas at equal pressure and temperature contain equal numbers of molecules, independent of the type of gas. Later, the hypothesis was developed to form the SI unit for measuring the amount of any substance.
The number of molecules in one mole is called...
3.5K
Adiabatic Processes for an Ideal Gas01:18

Adiabatic Processes for an Ideal Gas

3.1K
When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
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Related Experiment Video

Updated: Jun 23, 2025

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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Ising Paradigm in Isobaric Ensembles.

Claudio A Cerdeiriña1, Jacobo Troncoso1

  • 1Instituto de Física e Ciencias Aeroespaciais da Universidade de Vigo and Unidad MSMN Asociada al CSIC por el IQF Blas Cabrera, 32004 Ourense, Spain.

Entropy (Basel, Switzerland)
|June 26, 2024
PubMed
Summary
This summary is machine-generated.

This review explores compressible cell models, including lattice gases and liquids, to understand fluid criticality and water

Keywords:
Ising-like modelsNpT and μpT ensemblesasymmetric fluid criticalitycompressible cellsfreezinglocal entropic effectswater’s unusual thermodynamics

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Area of Science:

  • Statistical Mechanics
  • Thermodynamics
  • Materials Science

Background:

  • Ising-like models with fluctuating cell volumes are studied using NpT and μpT ensembles.
  • Local entropic effects are crucial in these models, alongside volumetric phenomena.

Purpose of the Study:

  • To review recent work on compressible cell models, including compressible cell gases (CCG) and compressible cell liquids (CCL).
  • To explore their application in describing fluid criticality, supercooled water, and liquid-liquid transitions.

Main Methods:

  • Focus on Ising-like models with "compressible cells" of fluctuating volume.
  • Analysis of compressible cell gases (CCG) and compressible cell liquids (CCL) in NpT and μpT ensembles.
  • Incorporation of "ice-like" hydrogen bonding and vacant cells into models.

Main Results:

  • CCGs exhibit singular diameters and "Yang-Yang features" from "complete scaling" in asymmetric fluid criticality.
  • CCL variants serve as prototypes for water-like liquid-liquid criticality and hard sphere freezing.
  • Three-state, BEG-like models derived from CCLs successfully describe water's "second-critical-point scenario" and argon's phase behavior.

Conclusions:

  • Compressible cell models offer a robust framework for understanding complex thermodynamic phenomena.
  • These models provide insights into water's unusual behavior and phase transitions in simple substances.
  • Future research should address water's crystal-fluid phase behavior and metastable states.