The image above represents the conversion of volume fraction to mass fraction. To calculate conversion of volume fraction to mass fraction, four essential parameters are needed and these parameters are **α-phase Volume Fraction (V _{α}), β-phase Volume Fraction (V_{β}), α-phase Density (ρ_{α}) and β-phase Density (ρ_{β}).**

**The formula for calculating volume fraction to mass fraction:**

W_{α} = ^{Vαρα}/_{(Vαρα) + (Vβρβ)}

W_{β} = ^{Vβρβ}/_{(Vαρα) + (Vβρβ)}

Where:

W_{α} = α-phase Weight/Mass Fraction

W_{β} = β-phase Weight/Mass Fraction

V_{α} = α-phase Volume Fraction

V_{β} = β-phase Volume Fraction

ρ_{α} = α-phase Density

ρ_{β} = β-phase Density

Let’s solve an example;

Find the conversion of volume fraction to mass fraction when the α-phase volume fraction is 4, the β-phase volume fraction is 7, the α-phase density is 11 and the β-phase density is 10.

This implies that;

V_{α} = α-phase Volume Fraction = 4

V_{β} = β-phase Volume Fraction = 7

ρ_{α} = α-phase Density = 11

ρ_{β} = β-phase Density = 10

W_{α} = ^{(4)(11)}/_{((4)(11)) + ((7)(10))}

That is, W_{α} = ^{(44)}/_{(44) + (70)}

W_{α} = ^{(44)}/_{(114)}

W_{α} = 0.38

Therefore, the **α-phase mass fraction**, W_{α} is **0.38**.

W_{β} = ^{(7)(10)}/_{((4)(11)) + ((7)(10))}

W_{β} = ^{(70)}/_{(44) + (70)}

So, W_{β} = ^{(70)}/_{(114)}

W_{β} = 0.614

Therefore, the **β-phase mass fraction**, W_{β} is **0.614**.

**How to Calculate Conversion of Volume Fraction to Mass Fraction With Nickzom Calculator**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the conversion of volume fraction to mass fraction.

To get the answer and workings of the conversion of volume fraction to mass fraction using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

### 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.

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 Volume Fraction to Mass Fraction **under **Phase Transformation**

The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of volume fraction to mass fraction according to the respective parameter which is the **α-phase Volume Fraction (V _{α}), β-phase Volume Fraction (V_{β}), α-phase Density (ρ_{α}) and β-phase Density (ρ_{β}).**

Now, enter the values appropriately and accordingly for the parameters as required by the **α-phase Volume Fraction (V _{α})** is

**4**,

**β-phase Volume Fraction (V**is

_{β})**7**,

**α-phase Density (ρ**is

_{α})**11**

**and β-phase Density (ρ**is

_{β})**10**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves the conversion of volume fraction to mass fraction and presents the formula, workings and steps too.