Engineering

How to Calculate and Solve for Diffusion Coefficient at Constant Temperature | Diffusion in Alloying

Last Updated on January 12, 2023

The above image represents the diffusion coefficient at constant temperature.

To compute for diffusion coefficient at constant temperature, four essential parameters are needed and these parameters are Activation Energy of Diffusion (Qd), Gas Constant (R), Temperature (T) and Constant that Varies with Metal Properties (Do).

The formula for calculating diffusion coefficient at constant temperature:

D = Doexp(-Qd/RT)

Where:

D = Diffusion Coefficient at Constant Temperature
Qd = Activation Energy of Diffusion
R = Gas Constant
T = Temperature
Do = Constant that Varies with Metal Properties

Let’s solve an example;
Find the diffusion coefficient at constant temperature when the activation energy of diffusion is 10, the gas constant is 8, the temperature is 12 and the constant that varies with metal properties is 4.

This implies that;

Qd = Activation Energy of Diffusion = 10
R = Gas Constant = 8
T = Temperature = 12
Do = Constant that Varies with Metal Properties = 4

D = Doexp(-Qd/RT)
D = 4exp(-(10)/(8)(12))
D = 4exp(-(10)/(96))
D = 4exp(-(0.10416666666666667))
D = 4exp(-0.10416666666666667)
D = 4(0.9010751057212906)
D = 3.60

Therefore, the diffusion coefficient at constant temperature is 3.60m²/s.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the diffusion coefficient at constant temperature.

To get the answer and workings of the diffusion coefficient at constant temperature 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

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

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 Diffusion Coefficient at Constant Temperature under Diffusion In Alloying

The screenshot below displays the page or activity to enter your values, to get the answer for the Diffusion Coefficient at Constant Temperature according to the respective parameter which is the Activation Energy of Diffusion (Qd), Gas Constant (R), Temperature (T) and Constant that Varies with Metal Properties (Do).

Now, enter the values appropriately and accordingly for the parameters as required by the Activation Energy of Diffusion (Qd) is 10, Gas Constant (R) is 8, Temperature (T) is 12 and Constant that Varies with Metal Properties (Do) is 4.

Finally, Click on Calculate


As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the diffusion coefficient at constant temperature and presents the formula, workings and steps too.

Leave a Reply