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相关概念视频

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

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Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...
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Standard Entropy Change for a Reaction03:00

Standard Entropy Change for a Reaction

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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.
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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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Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

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The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
 
where R is the gas constant (8.314 J/K·mol), T is the absolute temperature in kelvin, and Q is the reaction quotient. This equation may be used to predict the spontaneity of a process under any given set of conditions.
Reaction Quotient...
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Entropy within the Cell01:22

Entropy within the Cell

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A living cell's primary tasks of obtaining, transforming, and using energy to do work may seem simple. However, the second law of thermodynamics explains why these tasks are harder than they appear. None of the energy transfers in the universe are completely efficient. In every energy transfer, some amount of energy is lost in a form that is unusable. In most cases, this form is heat energy. Thermodynamically, heat energy is defined as the energy transferred from one system to another that...
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Gibbs Free Energy and Thermodynamic Favorability02:23

Gibbs Free Energy and Thermodynamic Favorability

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The spontaneity of a process depends upon the temperature of the system. Phase transitions, for example, will proceed spontaneously in one direction or the other depending upon the temperature of the substance in question. Likewise, some chemical reactions can also exhibit temperature-dependent spontaneities. To illustrate this concept, the equation relating free energy change to the enthalpy and entropy changes for the process is considered:
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Effect of Savings on a Gas-Like Model Economy with Credit and Debt.

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Updated: Jun 23, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
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The Diffusion of Passive Tracers in Laminar Shear Flow

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反应-扩散系统中的 Entropy 生产被限制在狭窄的通道中.

Guillermo Chacón-Acosta1, Mayra Núñez-López2

  • 1Applied Mathematics and Systems Department, Universidad Autónoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, Mexico City 05348, Mexico.

Entropy (Basel, Switzerland)
|June 26, 2024
PubMed
概括

将反应扩散系统限制在一个狭窄的通道上会改变产生的密度. 墙体几何学修改了值,但不是它的基本行为,帮助结构形成研究.

关键词:
灰色 苏格兰模型在监禁中扩散.的生产产生.狭窄的道,狭窄的道.模式形成 模式形成 模式形成反应扩散系统的反应.

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科学领域:

  • 化学动力学和热力学.
  • 复杂的系统和模式的形成.

背景情况:

  • 反应-扩散系统对于理解自然界的模式形成至关重要.
  • 的产生是控制系统演变的关键热力学量.
  • 将这些系统限制在微/纳米通道中,引入了几何约束.

研究的目的:

  • 为了研究通道壁几何学对生产密度的影响.
  • 在几何限制下分析可逆的格雷-斯科特反应-扩散系统.
  • 了解几何变化如何影响对结构形成的探索.

主要方法:

  • 利用了有效的扩散方程,结合了道几何学修改.
  • 在封闭的反应-扩散系统中分析了产量密度.
  • 研究了可逆格雷-斯科特模型作为一个代表系统.

主要成果:

  • 发现通道几何学会改变密度的定量值.
  • 密度的定性行为保持不变,尽管几何修改.
  • 这些发现提供了关于囚禁如何影响系统动态的见解.

结论:

  • 封闭反应-扩散系统中的壁面几何学量化调节产量.
  • 产生的定性性质是强大的几何变化.
  • 这项研究有助于更深入地了解受限制环境中的结构形成.