The image above represents number of atoms per unit volume in metals. To calculate number of atoms per unit volume in metals, three essential parameters are needed and these parameters are Avogadro’s Number (NA), Density of the Metal (ρ) and Area of the Metal (A).
The formula for calculating the number of atoms per unit volume in metals:
N = (NA)ρ/A
Where:
N = Number of Atoms per Unit Volume in Metals
NA = Avogadro’s Number
ρ = Density of the Metal
A = Area of the Metal (in g/mol)
Given an example;
Find the number of atoms per unit volume in metals when the avogadro’s number is 6.023E23, the density of the metal is 10 and the area of the metal is 4.
This implies that ;
NA = Avogadro’s Number = 6.023E23
ρ = Density of the Metal = 10
A = Area of the Metal = 4
N = (NA)ρ/A
N = (6.023e+23)(10)/(4)
So, N = (6.023e+24)/4
N = 1.50575e+24
Therefore, the number of atoms per unit volume in metals is 1.50575e+24.
Calculating the Density of the Metal when the Number of Atoms per Unit Volume in Metals, the Avogadro’s Number and the Area of the Metal are Given
ρ = N x A / NA
Where:
ρ = Density of the Metal
N = Number of Atoms per Unit Volume in Metals
NA = Avogadro’s Number
A = Area of the Metal
Let’s solve an example;
Find the density of the metal when the number of atoms per unit volume in metals is 15, the avogadro’s number is 6.023e+24 and the area of the metal is 10.
This implies that;
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N = Number of Atoms per Unit Volume in Metals = 15
NA = Avogadro’s Number = 6.023e+24
A = Area of the Metal = 10
ρ = N x A / NA
So, ρ = 15 x 10 / 6.023e+24
ρ = 150 / 6.023e+24
ρ = 2.49e-23
Therefore, the density of the metal is 2.49e-23.
Calculating the Area of the Metal when the Number of Atoms per Unit Volume in Metals, the Avogadro’s Number and the Density of the Metal are Given
A = NA x ρ / N
Where:
A = Area of the Metal
N = Number of Atoms per Unit Volume in Metals
NA = Avogadro’s Number
ρ = Density of the Metal
Given an example;
Find the area of the metal when the number of atoms per unit volume in metals is 20, the avogadro’s number is 6.023e+24 and the density of the metal is 12.
This implies that;
N = Number of Atoms per Unit Volume in Metals = 20
NA = Avogadro’s Number = 6.023e+24
ρ = Density of the Metal = 12
A = NA x ρ / N
Then, A = 6.023e+24 x 12 / 20
A = 7.227e+25 / 20
A = 3.613e-24
Therefore, the area of the metal is 3.613e-24.
Read more: How to Calculate and Solve for Equilibrium Number of Vacancies | Imperfection in Solids
How to Calculate Number of Atoms per Unit Volume in Metals With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the number of atoms per unit volume in metal.
To get the answer and workings of the number of atoms per unit volume in metal 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 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 Imperfection in Solids under Materials and Metallurgical
Now, Click on Number of Atoms per Unit Volume in Metal under Imperfection in Solids
The screenshot below displays the page or activity to enter your values, to get the answer for the number of atoms per unit volume in metal according to the respective parameter which is the Avogadro’s Number (NA), Density of the Metal (ρ) and Area of the Metal (A).
Now, enter the values appropriately and accordingly for the parameters as required by the Avogadro’s Number (NA) is 6.023e+24, Density of the Metal (ρ) is 10 and Area of the Metal (A) is 4.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the number of atoms per unit volume in metal and presents the formula, workings and steps too.
