How to Calculate and Solve for Conversion of Mass Fraction to Volume Fraction | Phase Transformation
Last Updated on December 10, 2022
The image of conversion of mass fraction to volume fraction is represented below.
To compute for conversion of mass fraction to volume fraction, four essential parameters are needed and these parameters are α-phase Weight/Mass Fraction (Wα), β-phase Weight/Mass Fraction (Wβ), α-phase Density (ρα) and β-phase Density (ρβ).
The formula for calculating conversion of mass fraction to volume fraction:
Vα = Wα/ρα/(Wα/ρα) + (Wβ/ρβ)
Vβ = Wβ/ρβ/(Wα/ρα) + (Wβ/ρβ)
Where:
Vα = α-phase Volume Fraction
Vβ = β-phase Volume Fraction
Wα = α-phase Weight/Mass Fraction
Wβ = β-phase Weight/Mass Fraction
ρα = α-phase Density
ρβ = β-phase Density
Given an example;
Find the conversion of mass fraction to volume fraction when the α-phase Weight/Mass Fraction is 2, the β-phase Weight/Mass Fraction is 4, the α-phase Density is 6 and the β-phase Density is 8.
This implies that;
Wα = α-phase Weight/Mass Fraction = 2
Wβ = β-phase Weight/Mass Fraction = 4
ρα = α-phase Density = 6
ρβ = β-phase Density = 8
Vα = (2/6)/(2/6) + (4/8)
Vα = (0.333)/(0.333) + (0.5)
Vα = (0.333)/(0.833)
Vα = 0.4
Therefore, the α-phase volume fraction, Vα is 0.4.
Vβ = (4/8)/(2/6) + (4/8)
Vβ = (0.5)/(0.333) + (0.5)
Vβ = (0.5)/(0.833)
Vβ = 0.600
Therefore, the β-phase volume fraction, Vβ is 0.60.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the conversion of mass fraction to volume.
To get the answer and workings of the conversion of mass fraction to volume 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 Phase Transformation under Materials and Metallurgical
Now, Click on Conversion of Mass Fraction to Volume under Phase Transformation
The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of mass fraction to volume according to the respective parameter which is the α-phase Weight/Mass Fraction (Wα), β-phase Weight/Mass Fraction (Wβ), α-phase Density (ρα) and β-phase Density (ρβ).
Now, enter the values appropriately and accordingly for the parameters as required by the α-phase Weight/Mass Fraction (Wα) is 2, β-phase Weight/Mass Fraction (Wβ) is 4, α-phase Density (ρα) is 6 and β-phase Density (ρβ) is 8.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the conversion of mass fraction to volume and presents the formula, workings and steps too.
