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# How to Calculate And Solve for Fick’s First Law of Diffusion | Diffusion in Alloying

Last Updated on January 12, 2023

The image above represents fick’s first law of diffusion.

To compute for fick’s first law of diffusion, two essential parameters are needed and these parameters are Diffusion Coefficient (D) and Diffusion Gradient (dC/dx).

The formula for calculating fick’s first law of diffusion:

J = -D(dC/dx)

Where:

J = Fick’s First Law of Diffusion
D = Diffusion Coefficient

Let’s solve an example;
Find the fick’s first law of diffusion when the diffusion coefficient is 24 and the diffusion coefficient is 12.

This implies that;

D = Diffusion Coefficient = 24
dC/dx = Diffusion Gradient = 12

J = -D(dC/dx)
J = -(24)(12)
J = (-24)(12)
J = -288

Therefore, the fick’s first law of diffusion is -288mol m-2 s-1.

Calculating the Diffusion Coefficient when the Fick’s First Law of Diffusion and the Diffusion Gradient is Given.

D = – J / dC/dx

Where:

D = Diffusion Coefficient
J = Fick’s First Law of Diffusion

Given an example;
Find the diffusion coefficient when the fick’s first law of diffusion is 42 and the diffusion coefficient is 6.

This implies that;

J = Fick’s First Law of Diffusion = 42
dC/dx = Diffusion Gradient = 6

D = – J / dC/dx
D = – 42 / 6
D = -7

Therefore, the diffusion coefficient is -7.

Calculating the Diffusion Gradient when the Fick’s First Law of Diffusion and the Diffusion Coefficient is Given.

dC/dx = – J / D

Where:

J = Fick’s First Law of Diffusion
D = Diffusion Coefficient

Let’s solve an example;
Find the diffusion coefficient when the fick’s first law of diffusion is 35 and the diffusion coefficient is 7.

This implies that;

J = Fick’s First Law of Diffusion = 35
D = Diffusion Coefficient = 7

dC/dx = – J / D
dC/dx = – 35 / 7
dC/dx = – 5

Therefore, the diffusion gradient is -5.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the fick’s first law of diffusion.

To get the answer and workings of the fick’s first law of diffusion using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

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

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 Diffusion In Alloying under Materials and Metallurgical

Now, Click on Fick’s First Law of Diffusion under Diffusion In Alloying

The screenshot below displays the page or activity to enter your values, to get the answer for the fick’s first law of diffusion according to the respective parameter which is the Diffusion Coefficient (D) and Diffusion Gradient (dC/dx).

Now, enter the values appropriately and accordingly for the parameters as required by the Diffusion Coefficient (D) is 24 and Diffusion Gradient (dC/dx) is 12.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the fick’s first law of diffusion and presents the formula, workings and steps too.