The image above represents the work of adhesion between solid and liquid. To calculate the work of adhesion between solid and liquid, two essential parameters are needed, and these parameters are Interfacial Tension between Liquid and Air (γLA) and Angle Interface (θ).
The formula for calculating the work of adhesion between solid and liquid:
WSL = γLA(cosθ + 1)
Where:
WSL = Work of Adhesion between Solid and Liquid | Young-Dupre Equation
γLA = Interfacial Tension between Liquid and Air
θ = Angle Interface
Let’s solve an example;
Find the work of adhesion between solid and liquid when the interfacial tension between liquid and air is 44 and the angle interface is 11.
This implies that;
γLA = Interfacial Tension between Liquid and Air = 44
θ = Angle Interface = 11
WSL = γLA(cosθ + 1)
WSL = 44(cos(11°) + 1)
That is, WSL = 44(0.98 + 1)
WSL = 44(1.98)
WSL = 87.19
Therefore, the work of adhesion between solid and liquid is 87.19 J.
Calculating the Interfacial Tension between Liquid and Air when the Work of Adhesion between Solid and Liquid and the Angle Interface are Given
γLA = WSL / (cosθ + 1)
Where:
γLA = Interfacial Tension between Liquid and Air
WSL = Work of Adhesion between Solid and Liquid | Young-Dupre Equation
θ = Angle Interface
Let’s solve an example;
Find the interfacial tension between liquid and air when the work of adhesion between solid and liquid is 44 and the angle interface is 11.
This implies that;
Master Every Calculation Instantly
Unlock solutions for every math, physics, engineering, and chemistry problem with step-by-step clarity. No internet required. Just knowledge at your fingertips, anytime, anywhere.
WSL = Work of Adhesion between Solid and Liquid | Young-Dupre Equation = 44
θ = Angle Interface = 11
γLA = WSL / (cosθ + 1)
So, γLA = 44 / (cos11 + 1)
γLA = 44 / 1.98
γLA = 22.2
Therefore, the interfacial tension between liquid and air is 22.2.
Read more:Â How to Calculate and Solve for Work of Adhesion per Unit Area for Flotation | Mineral Processing
Calculating the Angle Interface when the Work of Adhesion between Solid and Liquid and the Interfacial Tension between Liquid and Air are Given
θ = cos-1(WSL / γLA – 1)
Where:
θ = Angle Interface
WSL = Work of Adhesion between Solid and Liquid | Young-Dupre Equation
γLA = Interfacial Tension between Liquid
Let’s solve an example;
Find the angle interface when the work of adhesion between solid and liquid is 8 and the interfacial tension between liquid is 4.
This implies that;
WSL = Work of Adhesion between Solid and Liquid | Young-Dupre Equation = 8
γLA = Interfacial Tension between Liquid = 4
θ = cos-1(WSL / γLA – 1)
θ = cos-1(8 / 4 – 1)
That is, θ = cos-1(2 – 1)
θ = cos-11
θ = 0
Therefore, the angle interface is 0.
How to Calculate Work of Adhesion between Solid and Liquid | Young-Dupre Equation Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the work of adhesion between solid and liquid.
To get the answer and workings of the work of adhesion between solid and liquid 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 Work of Adhesion between Solid and Liquid under Mineral Processing
The screenshot below displays the page or activity to enter your values, to get the answer for the work of adhesion between solid and liquid according to the respective parameter which is the Interfacial Tension between Liquid and Air (γLA) and Angle Interface (θ).
Now, enter the values appropriately and accordingly for the parameters as required by the Interfacial Tension between Liquid and Air (γLA) is 44 and Angle Interface (θ) is 11.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the work of adhesion between solid and liquid and presents the formula, workings and steps too.
