Feed Solute Concentration for Single Ideal Stage Extraction Calculator

Formula Used:

\[ z_C = \frac{X_1}{F'/(F' + (E' \times K_{Solute}))} \]

Single Stage Mass Fraction of Solute in Raffinate:

Solute Free Feed Flowrate (F'):

kg/s

Solute Free Extract Phase Flowrate (E'):

kg/s

Distribution Coefficient of Solute:

Mass Fraction of Solute in the Feed (z_C):

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1. What is Feed Solute Concentration for Single Ideal Stage Extraction?

Definition: This calculator determines the mass fraction of solute in the feed stream for a single ideal stage liquid-liquid extraction process.

Purpose: It helps chemical engineers and process designers calculate the feed composition needed to achieve a desired raffinate composition in a single extraction stage.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ z_C = \frac{X_1}{F'/(F' + (E' \times K_{Solute}))} \]

Where:

\( z_C \) — Mass fraction of solute in the feed
\( X_1 \) — Single stage mass fraction of solute in raffinate phase
\( F' \) — Solute free feed flowrate (kg/s)
\( E' \) — Solute free extract phase flowrate (kg/s)
\( K_{Solute} \) — Distribution coefficient of solute

Explanation: The formula calculates the feed concentration based on the equilibrium relationship between the raffinate and extract phases.

3. Importance of Feed Solute Concentration Calculation

Details: Accurate feed concentration calculation is essential for designing efficient extraction processes and predicting separation performance.

4. Using the Calculator

Tips: Enter the raffinate composition, solute-free flowrates for both phases, and the solute distribution coefficient. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is an ideal extraction stage?
A: An ideal stage is one where the exiting streams (raffinate and extract) are in equilibrium with each other.

Q2: How is the distribution coefficient determined?
A: It's typically determined experimentally by measuring solute concentrations in both phases at equilibrium.

Q3: What units should be used for flowrates?
A: The calculator uses kg/s, but any consistent mass flow units can be used as long as they're the same for both streams.

Q4: Can this be used for multi-stage extraction?
A: No, this calculator is specifically for single-stage extraction calculations.

Q5: What if my distribution coefficient varies with concentration?
A: This calculator assumes a constant distribution coefficient. For variable coefficients, more complex calculations are needed.