How to Calculate and Solve for Mean Free Path | Debye Theory of Melting Solid | Energy Transport
Last Updated on September 23, 2021
The image above represents mean free path.
To compute for mean free path, four essential parameters are needed and these parameters are Melting Point of Solid (Tm), Crystal Lattice Dimension (d), γ and Absolute Temperature (T).
The formula for calculating the mean free path:
λph = 20Tmd / γ²T
Where:
λph = Mean Free Path | Debye Theory of Melting Solid
Tm = Melting Point of Solid
d = Crystal Lattice Dimension
T = Absolute Temperature
Let’s solve an example;
Find the mean free path when the melting point of solid is 12, the crystal lattice dimension is 24, the γ is 2 and the absolute temperature is 10.
This implies that;
Tm = Melting Point of Solid = 12
d = Crystal Lattice Dimension = 24
γ = 2
T = Absolute Temperature = 10
λph = 20Tmd / γ²T
λph = 20(12)(24) / (2)²(10)
λph = 5760 / (4)(10)
λph = 5760 / 40
λph = 144
Therefore, the mean free path is 144.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the mean free path.
To get the answer and workings of the mean free path 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 Energy Transport under Materials and Metallurgical
Now, Click on Mean Free Path under Energy Transport
The screenshot below displays the page or activity to enter your values, to get the answer for the mean free path according to the respective parameter which is the Melting Point of Solid (Tm), Crystal Lattice Dimension (d), γ and Absolute Temperature (T).
Now, enter the values appropriately and accordingly for the parameters as required by the Melting Point of Solid (Tm) is 12, Crystal Lattice Dimension (d) is 24, γ is 2 and Absolute Temperature (T) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the mean free path and presents the formula, workings and steps too.