The formula to calculate the Mass Percent of the First Phase given its volume percent and densities is:
\[ \text{Mass Percent} = \frac{\text{Volume Percent} \times \text{Density of First Phase} \times 100}{\text{Volume Percent} \times \text{Density of First Phase} + (100 - \text{Volume Percent}) \times \text{Density of Second Phase}} \]
The Mass Percent of the First Phase in a two-phase microstructure is the ratio of the mass of the first phase to the total mass of the microstructure, expressed as a percentage.
Let's assume the following values:
Using the formula:
\[ \text{Mass Percent} = \frac{40 \times 8500 \times 100}{40 \times 8500 + (100 - 40) \times 6000} \approx 48.5714285714286\% \]
The Mass Percent of the First Phase is approximately 48.5714285714286%.
| Volume Percent (%) | Mass Percent (%) |
|---|---|
| 30 | 37.777777777777779 |
| 35 | 43.272727272727273 |
| 40 | 48.571428571428569 |
| 45 | 53.684210526315788 |
| 50 | 58.620689655172413 |