How to Calculate and Solve for Diffusion Coefficient | Mass Transfer
Last Updated on August 1, 2021
The image above represents diffusion coefficient.
To compute for diffusion coefficient, three essential parameters are needed and these parameters are Constant (BA), Boltzmann’s Constant (KB) and Temperature (T).
The formula for calculating diffusion coefficient:
DA = BAKBT
Where:
DA = Diffusion Coefficient | Nernst-Einstein Equation
BA = Constant
KB = Boltzmann’s Constant
T = Temperature
Let’s solve an example;
Find the diffusion coefficient when the constant is 21, the boltzmann’ s constant is 1.39e-23 and temperature is 12.
This implies that;
BA = Constant = 21
KB = Boltzmann’s Constant = 1.3806e-23
T = Temperature = 12
DA = BAKBT
DA = (21)(1.38e-23)(12)
DA = 3.47
Therefore, the diffusion coefficient is 3.47e-21 cm²/s.
Calculating the Constant when the Diffusion Coefficient and the Temperature is Given.
BA = DA / KB x T
Where;
BA = Constant
DA = Diffusion Coefficient | Nernst-Einstein Equation
KB = Boltzmann’s Constant
T = Temperature
Let’s solve an example;
Find the constant when the diffusion coefficient is 10 and the temperature is 3.
This implies that;
DA = Diffusion Coefficient | Nernst-Einstein Equation = 10
KB = Boltzmann’s Constant = 1.3806e-23
T = Temperature = 12
BA = DA / KB x T
BA = 10 / 1.3806e-23 x 12
BA = 10 / 1.70e-9
BA = 5.88e+9
Therefore, the constant is 5.88e+9.
Calculating Temperature when the Diffusion Coefficient and the Constant is Given.
T = DA / BA x KB
Where;
T = Temperature
DA = Diffusion Coefficient | Nernst-Einstein Equation
BA = Constant
KB = Boltzmann’s Constant
Let’s solve an example;
Find the temperature when the diffusion coefficient is 5 and the constant is 14.
This implies that;
DA = Diffusion Coefficient | Nernst-Einstein Equation = 15
BA = Constant = `4
KB = Boltzmann’s Constant = 1.380e-23
T = DA / BA x KB
T = 15 / 4 x 1.380e-23
T = 15 / 4 x 1.380e-23
T = 15 / 5.66E-10
T = 2.65e+10
Therefore, the temperature is 2.65e+10 K.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the diffusion coefficient.
To get the answer and workings of the diffusion coefficient 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 for NGN 2,000 per annum 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 Mass Transport under Materials and Metallurgical
Now, Click on Diffusion Coefficient under Mass Transfer
The screenshot below displays the page or activity to enter your values, to get the answer for the diffusion coefficient according to the respective parameter which is the Constant (BA), Boltzmann’s Constant (KB) and Temperature (T).
Now, enter the values appropriately and accordingly for the parameters as required by the Constant (BA) is 12, Boltzmann’s Constant (KB) is 1.3806e-23 and Temperature (T) is 12.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the diffusion coefficient and presents the formula, workings and steps too.
