The formula to calculate the Mass Percent of the First Element given its atomic percent is:
\[ m_1 = \frac{X_1 \cdot A_1 \cdot 100}{X_1 \cdot A_1 + (100 - X_1) \cdot A_2} \]
The Mass Percent of the First Element in a binary alloy is the percentage by mass of the first element in the alloy. The mass percent of the other element is automatically obtained by subtracting from 100.
Let's assume the following values:
Using the formula:
\[ m_1 = \frac{10 \cdot 0.06355 \cdot 100}{10 \cdot 0.06355 + (100 - 10) \cdot 0.02698} \approx 20.7428925808663 \% \]
The Mass Percent of the First Element is approximately 20.7428925808663%.
| Atomic percent of first element (%) | Mass Percent of First Element (%) |
|---|---|
| 5 | 11.029730808615513 |
| 6 | 13.069767123005942 |
| 7 | 15.059292685486410 |
| 8 | 17.000160505055909 |
| 9 | 18.894134047761412 |
| 10 | 20.742892580866272 |
| 11 | 22.548036138787911 |
| 12 | 24.311090141671233 |
| 13 | 26.033509694618726 |
| 14 | 27.716683593044195 |
| 15 | 29.361938057322384 |