8.2
Número de transporte
El número de transporte es la fracción de la corriente total transportada por un ion en una solución electrolítica. Se define como la relación entre l…
El número de transporte es la fracción de la corriente total transportada por cationes o aniones en una solución electrolítica.
El método de Hittorf explica los números de transporte examinando la migración iónica en una célula dividida en compartimentos anódico, central y catódico.
Cuando se aplica una diferencia de potencial, los cationes se desplazan hacia el cátodo y los aniones hacia el ánodo, provocando cambios de concentración cerca de cada electrodo. El compartimento central sirve como una región de referencia menos afectada por las reacciones de electrodos.
La relación de movilidad de cationes a aniones es igual a la caída de la concentración alrededor del ánodo respecto a la del cátodo.
El número de transporte de cationes se define como la caída de concentración alrededor del ánodo dividida por la caída total alrededor de ambos electrodos, mientras que el número de transporte de aniones es igual a uno menos el número de transporte catión.
Un enfoque alternativo es el método de frontera móvil, en el que una corriente eléctrica desplaza la frontera entre el electrolito principal HCl y el electrolito indicador CdCl₂.
Si un potencial aplicado Q mueve la frontera en l cm, desplazando lA cm 3 que contiene equivalentes en c gramos de HCl, el número de transporte de iones H⁺ puede calcularse matemáticamente.
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Q1: What is transport number and why does it matter in electrochemistry?
Transport number is the fraction of total current carried by a specific ion in an electrolyte solution. It represents the ratio of current carried by that ion to the total current flowing through the solution. Understanding transport numbers is essential for predicting ionic mobility and how fast ions move under an electric field, directly connecting to electrochemical reaction behavior.
Q2: How does Hittorf's method measure transport numbers?
Hittorf's method divides an electrolyte solution into anodic, central, and cathodic compartments. When potential is applied, cations migrate toward the cathode and anions toward the anode, causing measurable concentration changes near each electrode. The central compartment serves as a reference region unaffected by electrode reactions, allowing independent measurement of concentration changes that reflect ion mobility ratios.
Q3: What is the relationship between cation mobility and concentration changes in Hittorf's method?
The cation-to-anion mobility ratio equals the concentration fall around the anode to that around the cathode. The cation transport number is defined as the concentration fall around the anode divided by the total fall around both electrodes. This relationship allows researchers to calculate transport numbers from measured concentration changes in gram equivalents.
Q4: How does the moving boundary method determine transport numbers?
The moving boundary method tracks the movement of a sharp boundary between a principal electrolyte and an indicator electrolyte under an applied electric field. For example, to measure H⁺ transport in HCl, CdCl₂ serves as the indicator because its cation has lower mobility than H⁺ and shares the same anion. By measuring boundary displacement over time, the transport number can be calculated mathematically.
Q5: Why is the central compartment important in Hittorf's method?
The central compartment in Hittorf's method serves as a reference region that remains relatively unaffected by electrode reactions. This allows researchers to measure concentration changes in the anodic and cathodic compartments independently and accurately. The central compartment's stability ensures that observed concentration changes reflect only ion migration caused by the applied potential.
Q6: How is anion transport number calculated from cation transport number?
Anion transport number is obtained by subtracting the cation transport number from unity. Since cations and anions together carry all the current in an electrolyte solution, their transport numbers must sum to one. This relationship provides a simple way to determine anion transport once cation transport is measured or calculated.
Q7: What role does ionic mobility play in transport number determination?
Ionic mobility describes how fast an ion moves under an electric field influence. The extent of concentration change near electrodes in Hittorf's method directly reflects the relative mobilities of cations and anions. Transport numbers quantify this mobility difference, connecting the physical behavior of ions in solution to the electrical transport properties measured during electrochemical reactions.