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
dC/dx = Diffusion Gradient
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
dC/dx = Diffusion Gradient
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:
dC/dx = Diffusion Gradient
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:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
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 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.
