How to Calculate and Solve for Stokes-Einstein Equation of Diffusivity | Mass Transfer

The image above represents stokes-einstein equation of diffusivity. To calculate stokes-einstein equation of diffusivity, four essential parameters are needed and these parameters are Boltzmann’s Constant (KB), Temperature (T), Radius of Sphere (R) and Viscosity (η).

The formula for calculating stokes-einstein equation of diffusivity:

D = KBT / 6πRη

Where:

D = Diffusivity
KB = Boltzmann’s Constant
T = Temperature
R = Radius of Sphere
η = Viscosity

Let’s solve an example;
Find the diffusivity when the boltzmann’s constant is 1.3806E-23, the temperature is 22, the radius of sphere is 12 and the viscosity is 10.

This implies that;

KB = Boltzmann’s Constant = 1.3806E-23
T = Temperature = 22
R = Radius of Sphere = 12
η = Viscosity = 10

D = KBT / 6πRη
Then, D = (1.3806e-23)(22) / 6π(12)(10)
D = 3.037e-22 / 2261.94
D = 1.342

Therefore, the diffusivity is 1.342e-25 cm²/s.

Read more: How to Calculate and Solve for Permeability due to Partial Pressure | Mass Transfer

How to Calculate Stokes-Einstein Equation of Diffusivity With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the stokes-einstein equation of diffusivity.

To get the answer and workings of the stokes-einstein equation of 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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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
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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 Stokes-Einstein Equation of Diffusivity under Mass Transport

The screenshot below displays the page or activity to enter your values, to get the answer for the stokes-einstein equation of diffusivity according to the respective parameter which is the Boltzmann’s Constant (KB), Temperature (T), Radius of Sphere (R) and Viscosity (η).

Now, enter the values appropriately and accordingly for the parameters as required by the Boltzmann’s Constant (KB) is 1.3806E-23, Temperature (T) is 22, Radius of Sphere (R) is 12 and Viscosity (η) is 10.

Finally, Click on Calculate

How to Calculate and Solve for Stokes-Einstein Equation of Diffusivity | Mass Transfer
How to Calculate and Solve for Stokes-Einstein Equation of Diffusivity | Mass Transfer

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the stokes-einstein equation of diffusivity and presents the formula, workings and steps too.

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