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Electric conduction in liquids (2)
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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:(2122, 0)
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Equations
$ G =\displaystyle\frac{1}{ R }$
G =1/ R
$ \kappa_e = \kappa_1 + \kappa_2 $
kappa_e = kappa_1 + kappa_2
$ \kappa_1 = \Lambda_1 c_1 $
kappa_i = Lambda_i * c_i
$ \kappa_2 = \Lambda_2 c_2 $
kappa_i = Lambda_i * c_i
$ \Lambda_1 =\displaystyle\frac{ Q_1 ^2 \tau_1 }{2 m_1 } $
Lambda_i = Q_i ^2* tau_i /(2 * m_i )
$ \Lambda_2 =\displaystyle\frac{ Q_2 ^2 \tau_2 }{2 m_2 } $
Lambda_i = Q_i ^2* tau_i /(2 * m_i )
$ R = \rho_e \displaystyle\frac{ L }{ S }$
R = rho_e * L / S
$ \rho_e =\displaystyle\frac{1}{ \kappa_e } $
rho_e = 1/ kappa_e
ID:(16024, 0)
Total conductivity (2)
Equation
The conductivity ($\kappa_e$) of a liquid with two types of ions is calculated as the sum of the conductivity ions of type 1 ($\kappa_1$) and the conductivity ions of type 2 ($\kappa_2$). This relationship is expressed as:
| $ \kappa_e = \kappa_1 + \kappa_2 $ |
ID:(16014, 0)
Conductivity
Equation
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, 0)
Conductance
Equation
The conductance ($G$) is defined as the inverse of the resistance ($R$). This relationship is expressed as:
| $ G =\displaystyle\frac{1}{ R }$ |
ID:(3847, 0)
Resistance
Equation
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, 0)
Molar conductivity (1)
Equation
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_1 =\displaystyle\frac{ Q_1 ^2 \tau_1 }{2 m_1 } $ |
| $ \Lambda_i =\displaystyle\frac{ Q_i ^2 \tau_i }{2 m_i } $ |
ID:(11817, 1)
Molar conductivity (2)
Equation
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_2 =\displaystyle\frac{ Q_2 ^2 \tau_2 }{2 m_2 } $ |
| $ \Lambda_i =\displaystyle\frac{ Q_i ^2 \tau_i }{2 m_i } $ |
ID:(11817, 2)
Conductivity of each ion (1)
Equation
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_1 = \Lambda_1 c_1 $ |
| $ \kappa_i = \Lambda_i c_i $ |
ID:(11818, 1)
Conductivity of each ion (2)
Equation
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_2 = \Lambda_2 c_2 $ |
| $ \kappa_i = \Lambda_i c_i $ |
ID:(11818, 2)