Ideal Gas Entropy Formula:
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Definition: This calculator computes the entropy of an ideal gas mixture in a binary system using the ideal gas mixture model.
Purpose: It helps chemical engineers and researchers determine the entropy of gas mixtures for thermodynamic analysis.
The calculator uses the formula:
Where:
Explanation: The first part calculates the weighted average entropy, while the second part accounts for the entropy of mixing.
Details: Accurate entropy calculation is crucial for thermodynamic analysis, process design, and understanding system behavior in chemical engineering applications.
Tips: Enter mole fractions (must sum to ≤1), component entropies, and ensure all values are positive. Default values are provided for demonstration.
Q1: Why does the entropy of mixing term appear?
A: The ln(y) terms account for the increased disorder when different gases mix, which contributes to the total entropy.
Q2: What if my mole fractions don't sum to 1?
A: The calculator will still work, but results may not be physically meaningful. For binary systems, y₁ + y₂ should typically equal 1.
Q3: Can I use this for non-ideal gases?
A: No, this calculator uses the ideal gas model. For real gases, additional correction terms would be needed.
Q4: What units should I use?
A: All entropy values should be in consistent units (J/kg·K shown here). The universal gas constant R is in J/mol·K.
Q5: How accurate is this calculation?
A: It's theoretically exact for ideal gas mixtures under the assumptions of the model.