Formula Used:
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Definition: This calculator determines the number of washing stages required in batch leaching operations to achieve a desired solute concentration in the solid.
Purpose: It helps chemical engineers and process designers optimize leaching operations by determining the required number of washing stages.
The calculator uses the formula:
Where:
Explanation: The formula calculates how many washing stages are needed to reduce the solute concentration to a specified fraction of its original value.
Details: Proper calculation ensures efficient separation processes, minimizes solvent usage, and helps achieve desired product purity.
Tips: Enter the fraction of solute remaining (default 0.001), amount of solvent decanted (default 30 kg), and amount of solvent remaining (default 10.5 kg). All values must be > 0.
Q1: What does θN represent?
A: It's the target fraction of solute remaining in the solid after all washing stages (e.g., 0.001 means 0.1% of original solute remains).
Q2: How do I determine the solvent amounts?
A: These are process parameters - decanted solvent is what you remove each stage, remaining solvent is what stays with the solid.
Q3: What if I get a fractional number of stages?
A: Round up to the next whole number since you can't perform a fraction of a washing stage.
Q4: Does this account for equilibrium conditions?
A: Yes, the formula assumes equilibrium is reached in each washing stage.
Q5: How does the b/a ratio affect results?
A: Higher ratios mean fewer stages are needed, as more solute is removed per washing.