The formula to calculate the Entropy of Mixing is:
\[ \Delta S_{\text{mix}} = 8.314 \left( X_A \ln(X_A) + (1 - X_A) \ln(1 - X_A) \right) \]
Entropy of mixing is the entropy due to the presence of different types of atoms in a solid solution. The mole fraction of element A is the fraction of moles of element A in an A-B binary alloy.
Let's assume the following value:
Using the formula:
\[ \Delta S_{\text{mix}} = 8.314 \left( 0.5 \ln(0.5) + (1 - 0.5) \ln(1 - 0.5) \right) \approx -5.7628 \]
The Entropy of Mixing is approximately -5.7628 J/(mol·K).
| Mole Fraction of Element A | Entropy of Mixing (J/(mol·K)) |
|---|---|
| 0.45 | -5.721186097214774 |
| 0.5 | -5.762825659175385 |
| 0.55 | -5.721186097214774 |