Cottrell

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on

Sep 29, 2022, 12:51:20 AM

Created by

on

Aug 18, 2014, 7:26:27 PM

i = \frac{n \cdot F \cdot A \cdot C_{j}^{0} \cdot \sqrt{D_{j}}}{\sqrt{π \cdot t}}

$i = ( "n" *F* "A" * C_j^0 *sqrt( D_j ))/sqrt(pi* "t" )$

(n) Number of Electrons

$(n)"Number of Electrons"$

(A) Area

$(A) "Area"$

(D_{j}) Diffusion Coefficient

$(D_j)"Diffusion Coefficient"$

[C_{j}^{0}] Initial Concentration

$[C_j^0]"Initial Concentration"$

(t) Time

$(t)"Time"$

The Math / Science

Cottrell's equation describes the change in electrical current in electrochemistry as a function of time (t), number of electrons(n), the Faraday constant (96485.3399 C/mol), the area (A) of the electrode, initial concentration of reducible analyte (c_j⁰), and a diffusion coefficient for species.

Cottrell's equation is:

$i = \frac{n \cdot F \cdot A \cdot c_{j}^{0} \cdot \sqrt{D_{j}}}{\sqrt{π \cdot t}}$ $i = (n*F*A*c_j^0*sqrt(D_j))/sqrt(pi*t)$

where:

i = current
n = Number of Electrons
F = Faraday constant
A = Area of the Electrode
D_j = Diffusion Coefficient
C_j⁰ = Initial Concentration
t = Time

This equation, Cottrell, references 1 page

Equations and Data Items

• Faraday constant by DavidC

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