How to Calculate and Solve for Total Free Energy Change for Solidification | Phase Transformation
Last Updated on December 11, 2022
The image above represents total free energy change for solidification.
To compute for total free energy change for solidification, three essential parameters are needed and these parameters are Volume Free Energy (ΔGv), Surface Free Energy (γ) and Radius of Nucleus Formed (r).
The formula for calculating total free energy change for solidification:
ΔG = (4/3)πr³ΔGv + 4πr²γ
Where:
ΔG = Total Free Energy Change for Solidification
ΔGv = Volume Free Energy
γ = Surface Free Energy
r = Radius of Nucleus Formed
Let’s solve an example;
Find the total free energy change for solidification when the volume free energy is 21, the surface free energy is 3 and the radius of nucleus formed is 10.
This implies that;
ΔGv = Volume Free Energy = 21
γ = Surface Free Energy = 3
r = Radius of Nucleus Formed = 10
ΔG = (4/3)πr³ΔGv + 4πr²γ
ΔG = (4/3)π(10)³(21) + 4π(10)²(3)
ΔG = (4.18)(1000)(21) + (12.56)(100)(3)
ΔG = (87964.59) + (3769.91)
ΔG = 91734.50
Therefore, the total free energy change for solidification is 91734.50 J.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the total free energy change for solidification.
To get the answer and workings of the total free energy change for solidification 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
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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 Phase Transformation under Materials and Metallurgical
Now, Click on Total Free Energy Change for Solidification under Phase Transformation
The screenshot below displays the page or activity to enter your values, to get the answer for the total free energy change for solidification according to the respective parameter which is the Volume Free Energy (ΔGv), Surface Free Energy (γ) and Radius of Nucleus Formed (r).
Now, enter the values appropriately and accordingly for the parameters as required by the Volume Free Energy (ΔGv) is 21, Surface Free Energy (γ) is 3 and Radius of Nucleus Formed (r) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the total free energy change for solidification and presents the formula, workings and steps too.