The Nernst-Planck equation (shown below) describes the motion of a charged chemical species in a fluid. dC; J; = - D; z,FC; dv dx RT dx' What are the units for the ion flux J, where: zis the valence state of the ion (unitless) C is the concentration (mol/m³) Fis the Faraday constant (Coulomb/mol) Ris the ideal gas constant (kg m²/(s² mol °K)) Tis the temperature (K) dci/dx is the concentration gradient (mol/m*) dV/dx is the electric potential gradient (V/m) D; is the diffusion coefficient (m²/s) Note that Coulomb is a unit of charge and V is volts where 1 V= 1 Joule/Coulomb)
The Nernst-Planck equation (shown below) describes the motion of a charged chemical species in a fluid. dC; J; = - D; z,FC; dv dx RT dx' What are the units for the ion flux J, where: zis the valence state of the ion (unitless) C is the concentration (mol/m³) Fis the Faraday constant (Coulomb/mol) Ris the ideal gas constant (kg m²/(s² mol °K)) Tis the temperature (K) dci/dx is the concentration gradient (mol/m*) dV/dx is the electric potential gradient (V/m) D; is the diffusion coefficient (m²/s) Note that Coulomb is a unit of charge and V is volts where 1 V= 1 Joule/Coulomb)
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter17: Electrochemistry
Section: Chapter Questions
Problem 80AP
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Transcribed Image Text:The Nernst-Planck equation (shown below) describes the motion of a charged
chemical species in a fluid.
dC;
z,FC; dv
J; = - D;
dx
RT
dx'
What are the units for the ion flux J, where:
zis the valence state of the ion (unitless)
C is the concentration (mol/m³)
Fis the Faraday constant (Coulomb/mol)
Ris the ideal gas constant (kg m²/(s² mol °K))
Tis the temperature (K)
dCi/dx is the concentration gradient (mol/m*)
dV/dx is the electric potential gradient (V/m)
D; is the diffusion coefficient (m²/s)
Note that Coulomb is a unit of charge and V is volts where 1 V= 1 Joule/Coulomb)
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