How to Calculate and Solve for Relationship between Electrical Conductivity and Diffusivity | Mass Transfer

The image above represents relationship between electrical conductivity and diffusivity. To calculate the 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
That is, 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
So, σ/D = 288 / 9.66e-23
σ/D = 2.97

Therefore, the relationship between electrical conductivity and diffusivity is 2.97e+24.

Read more: How to Calculate and Solve for Activation Energy of Diffusion | Mass Transfer

How to Calculate the Relationship between Electrical Conductivity and Diffusivity Using Nickozom Calculator

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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You can also try the demo version via https://www.nickzom.org/calculator

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Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
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).

How to Calculate and Solve for Relationship between Electrical Conductivity and Diffusivity | Mass Transfer

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.

How to Calculate and Solve for Relationship between Electrical Conductivity and Diffusivity | Mass Transfer

Finally, Click on Calculate

How to Calculate and Solve for Relationship between Electrical Conductivity and Diffusivity | Mass Transfer

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.

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