How to Calculate and Solve for Relationship between Electrical Conductivity and Diffusivity | Mass Transfer
Last Updated on August 1, 2021
The image above represents relationship between electrical conductivity and diffusivity.
To compute for relationship between electrical conductivity and diffusivity, five essential parameters are needed and these parameters are Electrical conductivity (σ ), Coordination Number (Z), Electron Charge (e), Boltzmann’s Constant (KB) and Temperature (T).
The formula for calculating relationship between electrical conductivity and diffusivity:
σ/D = n(Ze)² / KBT
Where:
σ/D = Relationship between Electrical Conductivity and Diffusivity
σ = Electrical Conductivity
D = Diffusivity
Z = Coordination Number
e = Electron Charge
KB = Boltzmann’s Constant
T = Temperature
Let’s solve an example;
Find the relationship between electrical conductivity and diffusivity when the electrical conductivity is 2, the coordination number is 3, the electron charge is 4, the boltzmann’s constant is 1.3806e-23 and the temperature is 7.
This implies that;
σ = Electrical Conductivity = 2
Z = Coordination Number = 3
e = Electron Charge = 4
KB = Boltzmann’s Constant = 1.3806e-23
T = Temperature = 7
σ/D = n(Ze)² / KBT
σ/D = 2(3(4))² / 1.3806e-23(7)
σ/D = 2(12)² / 9.66e-23
σ/D = 2(144) / 9.66e-23
σ/D = 288 / 9.66e-23
σ/D = 2.97
Therefore, the relationship between electrical conductivity and diffusivity is 2.97e+24.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the relationship between electrical conductivity and diffusivity.
To get the answer and workings of the relationship between electrical conductivity and diffusivity using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
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Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Mass Transport under Materials and Metallurgical
Now, Click on Relationship between Electrical Conductivity and Diffusivity under Mass Transport
The screenshot below displays the page or activity to enter your values, to get the answer for the relationship between electrical conductivity and diffusivity according to the respective parameter which is the Electrical conductivity (σ ), Coordination Number (Z), Electron Charge (e), Boltzmann’s Constant (KB) and Temperature (T).
Now, enter the values appropriately and accordingly for the parameters as required by the Electrical conductivity (σ ) is 2, Coordination Number (Z) is 3, Electron Charge (e) is 4, Boltzmann’s Constant (KB) is 1.3806e-23 and Temperature (T) is 7.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the relationship between electrical conductivity and diffusivity and presents the formula, workings and steps too.