Solvent Decanted based on Original Weight of Solute and Number of Stages Calculator

Solvent Decanted Formula:

\[ b = a \times \left(\left(\frac{S_{Solute}}{S_{N(Wash)}}\right)^{\frac{1}{N_{Washing}}} - 1\right) \]

Amount of Solvent Remaining:

Original Weight of Solute in Solid:

Weight of Solute remaining after Washing:

Number of Washings:

Amount of Solvent Decanted (kg):

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1. What is Solvent Decanted in Batch Leaching?

Definition: This calculator determines the amount of solvent that needs to be decanted during washing stages in batch leaching operations.

Purpose: It helps chemical engineers and process technicians optimize solvent usage and washing efficiency in leaching processes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = a \times \left(\left(\frac{S_{Solute}}{S_{N(Wash)}}\right)^{\frac{1}{N_{Washing}}} - 1\right) \]

Where:

\( b \) — Amount of Solvent Decanted (kg)
\( a \) — Amount of Solvent Remaining (kg)
\( S_{Solute} \) — Original Weight of Solute in Solid (kg)
\( S_{N(Wash)} \) — Weight of Solute remaining after Washing (kg)
\( N_{Washing} \) — Number of Washings

Explanation: The formula calculates how much solvent needs to be removed at each washing stage to achieve the desired solute removal.

3. Importance of Solvent Decanting Calculation

Details: Proper solvent decanting ensures efficient solute recovery, minimizes solvent waste, and optimizes the washing process.

4. Using the Calculator

Tips: Enter the solvent remaining, original solute weight, remaining solute weight after washing, and number of washings. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the practical significance of this calculation?
A: It helps determine the optimal solvent quantity to remove at each washing stage for maximum solute recovery.

Q2: How does number of washings affect the result?
A: More washings typically require less solvent to be decanted at each stage while achieving the same final solute removal.

Q3: What if my solute remaining after washing is zero?
A: The formula requires a non-zero value. For complete removal, use a very small number (e.g., 0.0001) to approximate complete removal.

Q4: Can this be used for continuous leaching processes?
A: No, this formula is specifically for batch leaching operations with discrete washing stages.

Q5: How accurate is this calculation in practice?
A: It provides a theoretical estimate; actual results may vary based on mixing efficiency, temperature, and other process conditions.