The formula to calculate the Volume Percent of the First Phase given its mass percent is:
\[ \text{Volume Percent} = \frac{\text{Mass Percent} \times \text{Density of Second Phase} \times 100}{\text{Mass Percent} \times \text{Density of Second Phase} + (100 - \text{Mass Percent}) \times \text{Density of First Phase}} \]
Volume Percent of the First Phase is the volume percent of the first phase in a two-phase microstructure. Mass Percent of the First Phase is the mass percent of the first phase in a two-phase microstructure. Density of the Second Phase is the density of the second phase in a two-phase microstructure. Density of the First Phase is the density of the first phase in a two-phase microstructure.
Let's assume the following values:
Using the formula:
\[ \text{Volume Percent} = \frac{20 \times 6000 \times 100}{20 \times 6000 + (100 - 20) \times 8500} \approx 15 \% \]
The Volume Percent of the First Phase is approximately 15%.
| Mass Percent (%) | Density of Second Phase (kg/m³) | Density of First Phase (kg/m³) | Volume Percent (%) |
|---|---|---|---|
| 10 | 6000 | 8500 | 7.272727272727272 |
| 15 | 6000 | 8500 | 11.076923076923077 |
| 20 | 6000 | 8500 | 15.000000000000000 |
| 25 | 6000 | 8500 | 19.047619047619047 |
| 30 | 6000 | 8500 | 23.225806451612904 |