The image above represents theoretical density of metals. To calculate theoretical density of metals, four essential parameters are needed and these parameters are Number of Atoms Associated in the Cell (n), Atomic Weight (A), Volume of Unit Cell (Vc) and Avogadro’s Number (NA).
The formula for calculating the theoretical density of metals:
ρ = nA/VcNA
Where:
ρ = Theoretical Denity of the Metal
n = Number of Atoms Associated in the Cell
A = Atomic Weight
Vc = Volume of Unit Cell
NA = Avogadro’s Number
Let’s solve an example;
Find the theoretical density of the metal when the number of atoms associated in the cell is 3, the atomic weight is 6, the volume of unit cell is 2 and the avogadro’s number is 6.022e+24.
This implies that;
n = Number of Atoms Associated in the Cell = 3
A = Atomic Weight = 6
Vc = Volume of Unit Cell = 2
NA = Avogadro’s Number = 6.022e+24
ρ = nA/VcNA
ρ = (3)(6)/(2)(6.0221e+23)
So, ρ = (18)/(1.20442e+24)
ρ = 1.49
Therefore, the theoretical density of metals is 1.49 m.
Read more: How to Calculate and Solve for Number of Atoms per Unit Volume in Metals | Imperfection in Solids
How to Calculate Theoretical Density of Metals Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the theoretical density of metals.
To get the answer and workings of the theoretical density of metals 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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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 Crystal Structures under Materials and Metallurgical
Now, Click on Theoretical Density of Metals under Crystal Structures
The screenshot below displays the page or activity to enter your values, to get the answer for the theoretical density of metals according to the respective parameter which is the Number of Atoms Associated in the Cell (n), Atomic Weight (A), Volume of Unit Cell (Vc) and Avogadro’s Number (NA).
Now, enter the values appropriately and accordingly for the parameters as required by the Number of Atoms Associated in the Cell (n) is 3, Atomic Weight (A) is 6, Volume of Unit Cell (Vc) is 2 and Avogadro’s Number (NA) is 6.022e+24.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the theoretical density of metals and presents the formula, workings and steps too.
