Engineering

How to Calculate and Solve for Angle Interface | Young’s Equation | Mineral Processing

Last Updated on December 10, 2021

The image above represents angle interface.

To compute for angle interface, three essential parameters are needed and these parameters are Interfacial Tension between Solid and Air (γSA), Interfacial Tension between Liquid and Solid (γLS) and Interfacial Tension between Liquid and Air (γLA).

The formula for calculating angle interface:

θ = cos-1(γSA – γLS/γLA)

Where:

θ = Angle Interface | Young’s Equation
γSA = Interfacial Tension between Solid and Air
γLS = Interfacial Tension between Liquid and Solid
γLA = Interfacial Tension between Liquid and Air

Let’s solve an example;
Find the angle interface when the interfacial tension between solid and air is 12, the interfacial tension between liquid and solid is 8 and the interfacial tension between liquid and air is 10.

This implies that;

γSA = Interfacial Tension between Solid and Air = 12
γLS = Interfacial Tension between Liquid and Solid = 8
γLA = Interfacial Tension between Liquid and Air = 10

θ = cos-1(γSA – γLS/γLA)
θ = cos-1(12 – 8/10)
θ = cos-1(4/10)
θ = cos-1(0.4)
θ = 66.42

Therefore, the angle interface is 66.42°.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the angle interface.

To get the answer and workings of the angle interface 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 Mineral Processing under Materials and Metallurgical

Now, Click on Angle Interface under Mineral Processing

The screenshot below displays the page or activity to enter your values, to get the answer for the angle interface according to the respective parameter which is the Interfacial Tension between Solid and Air (γSA), Interfacial Tension between Liquid and Solid (γLS) and Interfacial Tension between Liquid and Air (γLA).

Now, enter the values appropriately and accordingly for the parameters as required by the Interfacial Tension between Solid and Air (γSA) is 12, Interfacial Tension between Liquid and Solid (γLS) is 8 and Interfacial Tension between Liquid and Air (γLA) is 10.

Finally, Click on Calculate


As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the angle interface and presents the formula, workings and steps too.

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