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Weak Base Solutions03:21

Weak Base Solutions

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Some compounds produce hydroxide ions when dissolved by chemically reacting with water molecules. In all cases, these compounds react only partially and so are classified as weak bases. These types of compounds are also abundant in nature and important commodities in various technologies. For example, global production of the weak base ammonia is typically well over 100 metric tons annually, being widely used as an agricultural fertilizer, a raw material for chemical synthesis of other...
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Weak Acid Solutions04:02

Weak Acid Solutions

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Few compounds act as strong acids. A far greater number of compounds behave as weak acids and only partially react with water, leaving a large majority of dissolved molecules in their original form and generating a relatively small amount of hydronium ions. Weak acids are commonly encountered in nature, being the substances partly responsible for the tangy taste of citrus fruits, the stinging sensation of insect bites, and the unpleasant smells associated with body odor. A familiar example of a...
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Titration of a Weak Acid with a Weak Base01:08

Titration of a Weak Acid with a Weak Base

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Weak acids and bases do not undergo dissociation completely, and titrations between these two are rarely studied. When such studies are performed, say, for the titration of a weak acid with a weak base, the titration curve plots the change in pH as a function of the volume of base added. Take the titration of acetic acid with ammonia, for instance. During the titration, these two species form ammonium acetate and water, but the pH change is slow and gradual.
As a result, there is no simple...
4.9K
Titration Calculations: Weak Acid - Strong Base03:55

Titration Calculations: Weak Acid - Strong Base

49.2K
Calculating pH for Titration Solutions: Weak Acid/Strong Base
For the titration of 25.00 mL of 0.100 M CH3CO2H with 0.100 M NaOH, the reaction can be represented as:
49.2K
Crossed Aldol Reaction Using Weak Bases01:14

Crossed Aldol Reaction Using Weak Bases

2.7K
This lesson deals with the crossed aldol reaction using weak bases. The self-condensation of an aldehyde having α hydrogen is prevented by adding it slowly to a mixture of formaldehyde and weak bases like hydroxide and alkoxide. Upon slow addition of the aldehyde, the base deprotonates the α carbon of the aldehyde to form the corresponding enolate. The enolate subsequently attacks the formaldehyde to form a single crossed product. Figure 1 depicts the aforementioned reaction.
2.7K
Titration of a Weak Base with a Strong Acid01:20

Titration of a Weak Base with a Strong Acid

8.9K
The titration curve of a weak base like ammonia with a strong acid like hydrochloric acid is the mirror image of the titration curve of a weak acid with a strong base.
Using the ICE table and substituting the Kb value, we calculate the initial pH of 50 mL of 0.1 M ammonia to be 11.11. Addition of 25 mL of 0.1 M hydrochloric acid to this solution of ammonia results in a buffer with an equal concentration of ammonia and ammonium ions. The pH of this buffer can be calculated by substituting these...
8.9K

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Kibble-Zurek Scaling from Linear Response Theory.

Entropy (Basel, Switzerland)·2022
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Unificación del Mecanismo de Kibble-Zurek en Procesos Débilmente Forzados

Pierre Nazé1

  • 1Instituto de Ciências Exatas e Naturais, Faculdade de Física, Universidade Federal do Pará, Av. Augusto Correa, 1, Guamá, Belém 66075-110, PA, Brazil.

Entropy (Basel, Switzerland)
|January 28, 2026
PubMed
Resumen

Este estudio introduce un nuevo marco para el mecanismo de Kibble-Zurek, eliminando las hipótesis ad hoc previas. El nuevo modelo describe con precisión el fenómeno, arrojando una escala de trabajo excedente cercana a 2/5 para varios sistemas.

Palabras clave:
mecanismo de Kibble-Zurekteoría de la respuesta lineal

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Área de la Ciencia:

  • Física
  • Termodinámica fuera del equilibrio
  • Mecánica cuántica

Sus antecedentes:

  • El mecanismo de Kibble-Zurek describe la formación de defectos durante las transiciones de fase.
  • Los modelos anteriores se basaban en hipótesis ad hoc, lo que limitaba su aplicabilidad.
  • Se ha aplicado la teoría de la respuesta lineal, pero con suposiciones simplificadoras.

Objetivo del estudio:

  • Desarrollar un nuevo marco teórico para el mecanismo de Kibble-Zurek.
  • Eliminar hipótesis ad hoc innecesarias en la descripción del fenómeno.
  • Obtener relaciones de escala precisas para el trabajo excedente.

Principales métodos:

  • Desarrollo de un nuevo marco teórico.
  • Aplicación de la teoría de la respuesta lineal sin suposiciones ad hoc.
  • Análisis de sistemas con tiempos de relajación divergentes en puntos críticos.

Principales resultados:

  • Se presenta un nuevo marco que preserva todas las características del mecanismo de Kibble-Zurek.
  • Se encuentra que la escala de Kibble-Zurek para el trabajo excedente es aproximadamente 2/5.
  • Este resultado es válido tanto para sistemas abiertos como aislados térmicamente.

Conclusiones:

  • El nuevo marco proporciona una descripción más rigurosa del mecanismo de Kibble-Zurek.
  • La escala 2/5 para el trabajo excedente es una predicción robusta del modelo.
  • El marco se ejemplifica utilizando cuatro funciones de escala distintas.