The image above represents the conversion of volume fraction to mass fraction.

To compute for 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))}

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)}

W_{β} = ^{(70)}/_{(114)}

W_{β} = 0.614

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