Number of Equilibrium Extraction Stages Formula:
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Definition: This calculator determines the number of equilibrium stages required in liquid-liquid extraction when the extraction factor equals 1.
Purpose: It helps chemical engineers design extraction processes by calculating the ideal number of stages needed for separation.
The calculator uses the formula:
Where:
Explanation: The formula calculates the stages needed when the extraction factor (E = K*S/F) equals 1, meaning the solvent flow rate times distribution coefficient equals the feed flow rate.
Details: Accurate stage calculation ensures efficient separation, optimal solvent usage, and proper equipment sizing in extraction processes.
Tips: Enter all mass fractions (0-1 range) and the distribution coefficient (>0). The raffinate mass fraction should be less than the feed mass fraction.
Q1: What does extraction factor = 1 mean?
A: It means the solvent flow rate times distribution coefficient equals the feed flow rate (E = K*S/F = 1).
Q2: What's a typical distribution coefficient range?
A: It varies widely (0.1-10) depending on the solute-solvent system and conditions like temperature.
Q3: Can this be used for countercurrent extraction?
A: Yes, this formula applies to countercurrent extraction when E=1.
Q4: What if my result is negative?
A: Check your inputs - likely the raffinate concentration is higher than possible for the given feed and distribution coefficient.
Q5: How does temperature affect the calculation?
A: Temperature affects the distribution coefficient (K), which should be measured at your operating temperature.