The image of conversion of mass fraction to volume fraction is represented below. To calculate conversion of mass fraction to volume fraction, four essential parameters are needed and these parameters are **α-phase Weight/Mass Fraction (W _{α}), β-phase Weight/Mass Fraction (W_{β}), α-phase Density (ρ_{α})** and

**β-phase Density (ρ**

_{β}).**The formula for calculating conversion of mass fraction to volume fraction:**

V_{α} = ^{Wα/ρα}/_{(Wα/ρα) + (Wβ/ρβ)}

V_{β} = ^{Wβ/ρβ}/_{(Wα/ρα) + (Wβ/ρβ)}

Where:

V_{α} = α-phase Volume Fraction

V_{β} = β-phase Volume Fraction

W_{α} = α-phase Weight/Mass Fraction

W_{β} = β-phase Weight/Mass Fraction

ρ_{α} = α-phase Density

ρ_{β} = 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;

W_{α} = α-phase Weight/Mass Fraction = 2

W_{β} = β-phase Weight/Mass Fraction = 4

ρ_{α} = α-phase Density = 6

ρ_{β} = β-phase Density = 8

V_{α} = ^{(2/6)}/_{(2/6) + (4/8)}

So, V_{α} = ^{(0.333)}/_{(0.333) + (0.5)}

V_{α} = ^{(0.333)}/_{(0.833)}

V_{α} = 0.4

Therefore, the α-phase volume fraction, V_{α} is **0.4**.

V_{β} = ^{(4/8)}/_{(2/6) + (4/8)}

V_{β} = ^{(0.5)}/_{(0.333) + (0.5)}

That is, V_{β} = ^{(0.5)}/_{(0.833)}

V_{β} = 0.600

Therefore, the β-phase volume fraction, V_{β} is **0.60.**

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

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.

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**Web** – https://www.nickzom.org/calculator-plus

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You can also try the **demo **version via https://www.nickzom.org/calculator

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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 (W _{α}), β-phase Weight/Mass Fraction (W_{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 Weight/Mass Fraction (W _{α})** is

**2**,

**β-phase Weight/Mass Fraction (W**is

_{β})**4**,

**α-phase Density (ρ**is

_{α})**6**and

**β-phase Density (ρ**is

_{β})**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.