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Electric conduction in liquids
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In a liquid it is ions and not electrons that lead to current conduction. In this case the resistance is given by the mobility of the ions within the liquid and the resistance must be calculated based on the concentrations of all the components.
ID:(1509, 0)
Electric conduction in liquids
Description
In a liquid it is ions and not electrons that lead to current conduction. In this case the resistance is given by the mobility of the ions within the liquid and the resistance must be calculated based on the concentrations of all the components.
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Equations
Examples
Using the resistivity ($\rho_e$) along with the geometric parameters the conductor length ($L$) and the section of Conductors ($S$), the resistance ($R$) can be defined through the following relationship:
| $ R = \rho_e \displaystyle\frac{ L }{ S }$ |
(ID 3841)
The conductivity ions of type i ($\kappa_i$), in terms of the molar conductivity ions of type i ($\Lambda_i$) and the concentration of ions i ($c_i$), is defined as equal to:
| $ \kappa_i = \Lambda_i c_i $ |
(ID 11818)
The molar conductivity ions of type i ($\Lambda_i$) is defined in terms of the charge of the ion i ($Q_i$), the time between collisions ion i ($\tau_i$), and the mass of the ion i ($m_i$), using the following relationship:
| $ \Lambda_i =\displaystyle\frac{ Q_i ^2 \tau_i }{2 m_i } $ |
(ID 11817)
Como la conductividad es proporcional a la concentraci n de los iones
| $ \kappa_i = \Lambda_i c_i $ |
se puede definir una conductividad total como la suma de las conductividades de los distintos iones. Con la definici n de la conductividad molar
| $ \Lambda_i =\displaystyle\frac{ Q_i ^2 \tau_i }{2 m_i } $ |
se tiene que
| $ \kappa_e =\displaystyle\sum_i \Lambda_i c_i $ |
(ID 3849)
The resistivity ($\rho_e$) is defined as the inverse of the conductivity ($\kappa_e$). This relationship is expressed as:
| $ \rho_e =\displaystyle\frac{1}{ \kappa_e } $ |
(ID 3848)
The conductance ($G$) is defined as the inverse of the resistance ($R$). This relationship is expressed as:
| $ G =\displaystyle\frac{1}{ R }$ |
(ID 3847)
ID:(1509, 0)