Engineering

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

Last Updated on August 1, 2021

The image above represents strokes-einstein equation of diffusivity.

To compute for strokes-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 strokes-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
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.

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

To get the answer and workings of the strokes-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

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 Strokes-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 strokes-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


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

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