The pilling bedworth ratio is illustrated by the image below. To calculate the pilling bedworth ratio, four essential parameters are needed, and these parameters are the Weight of the Oxide (Ao), the Weight of the Metal (Am), the Density of the Oxide (ρo), and the Density of the Metal (ρm).
The formula for calculating the Pilling Bedworth ratio:
PBR = Aoρm/Amρo
Where:
PBR = Pilling-Bedworth Ratio
Ao = Weight of the Oxide
Am = Weight of the Metal
ρo = Density of the Oxide
ρm = Density of the Metal
Let’s solve an example;
Find the pilling bedworth ratio when the weight of the oxide is 21, the weight of the metal is 7, the density of the oxide is 14 and the density of the metal is 2.
This implies that;
Ao = Weight of the Oxide = 22
Am = Weight of the Metal = 7
ρo = Density of the Oxide = 14
ρm = Density of the Metal = 2
PBR = Aoρm/Amρo
PBR = (21)(2)/(7)(14)
And then, PBR = (42)/(98)
PBR = 0.428
Therefore, the pilling bedworth ratio is 0.428.
Calculating the Weight of the Oxide when the Pilling Bedworth Ratio, the Weight of the Metal, the Density of the Oxide and the Density of the Metal are Given
Ao = PBR x Amρo / ρm
Where:
Ao = Weight of the Oxide
PBR = Pilling-Bedworth Ratio
Am = Weight of the Metal
ρo = Density of the Oxide
ρm = Density of the Metal
Let’s solve an example;
Given that the pilling bedworth ratio is 10, the weight of the metal is 4, the density of the oxide is 2 and the density of the metal is 8. Find the weight of the oxide?
This implies that;
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PBR = Pilling-Bedworth Ratio = 10
Am = Weight of the Metal = 4
ρo = Density of the Oxide = 2
ρm = Density of the Metal = 8
Ao = PBR x Amρo / ρm
Ao = 10 x (4)(2) / 8
So, Ao = 10 x 8 / 8
Ao = 80 / 8
Ao = 10
Therefore, the weight of the oxide is 10.
Read more: How to Calculate and Solve for Corrosion Rate | Corrosion
Calculating the Weight of the Metal when the Pilling Bedworth Ratio, the Weight of the Oxide, the Density of the Oxide and the Density of the Metal are Given
Am = Aoρm / PBR x ρo
Where:
Am = Weight of the Metal
PBR = Pilling-Bedworth Ratio
Ao = Weight of the Oxide
ρo = Density of the Oxide
ρm = Density of the Metal
Let’s solve an example;
Given that the pilling bedworth ratio is 20, the weight of the oxide is 14, the density of the oxide is 18 and the density of the metal is 10. Find the weight of the metal?
This implies that;
PBR = Pilling-Bedworth Ratio = 20
Ao = Weight of the Oxide = 14
ρo = Density of the Oxide = 18
ρm = Density of the Metal = 10
Am = Aoρm / PBR x ρo
So, Am = (14)(10) / 20 x 18
Am = 140 / 360
Am = 0.388
Therefore, the weight of the metal is 0.388.
Calculating the Density of the Oxide when the Pilling Bedworth Ratio, the Weight of the Metal, the Weight of the Oxide and the Density of the Metal are Given
ρo = Aoρm / PBR x Am
Where:
ρo = Density of the Oxide
PBR = Pilling-Bedworth Ratio
Ao = Weight of the Oxide
Am = Weight of the Metal
ρm = Density of the Metal
Let’s solve an example;
Find the density of the oxide when the pilling -bedworth ratio is 24, the weight of the oxide is 28, the weight of the metal is 20 and the density of the metal is 10.
This implies that;
PBR = Pilling-Bedworth Ratio = 24
Ao = Weight of the Oxide = 28
Am = Weight of the Metal = 20
ρm = Density of the Metal = 10
ρo = Aoρm / PBR x Am
And then, ρo = (28)(10) / 24 x 20
ρo = 280 / 480
ρo = 0.583
Therefore, the density of the oxide is 0.583.
Calculating the Density of the Metal when the Pilling Bedworth Ratio, the Weight of the Metal, the Weight of the Oxide and the Density of the Oxide is Given
ρm = PBR x Amρo / Ao
Where:
ρm = Density of the Metal
PBR = Pilling-Bedworth Ratio
Ao = Weight of the Oxide
Am = Weight of the Metal
ρo = Density of the Oxide
Let’s solve an example;
Find the density of the metal when the pilling bedworth ratio is 15, the weight of the oxide is 5, the weight of the metal is 3 and the density of the oxide is 10.
This implies that;
PBR = Pilling-Bedworth Ratio = 15
Ao = Weight of the Oxide = 5
Am = Weight of the Metal = 3
ρo = Density of the Oxide = 10
That is, ρm = PBR x Amρo / Ao
ρm = 15 x (3)(10) / 5
So, ρm = 15 x 30 / 5
ρm = 450 / 5
ρm = 90
Therefore, the density of the metal is 90.
Read more: How to Calculate and Solve for Concentration Polarization | Corrosion
How to Calculate Pilling Bedworth Ratio Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the pilling bedworth ratio
To get the answer and workings of the pilling bedworth ratio 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 Corrosion under Materials and Metallurgical
Now, Click on Pilling Bedworth Ratio under Corrosion
The screenshot below displays the page or activity to enter your values, to get the answer for the pilling bedworth ratio according to the respective parameter which is the Weight of the Oxide (Ao), Weight of the Metal (Am), Density of the Oxide (ρo) and Density of the Metal (ρm).
Now, enter the values appropriately and accordingly for the parameters as required by the Weight of the Oxide (Ao) is 21, Weight of the Metal (Am) is 7, Density of the Oxide (ρo) is 14 and Density of the Metal (ρm) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the pilling bedworth ratio and presents the formula, workings and steps too.
