Concentration of Saturated Solution in Contact with Solid in Batch Leaching Calculator

Concentration Formula:

\[ C_S = \frac{C}{1 - e^{\left(\frac{-K_L \cdot A \cdot t}{V_{Leaching}}\right)}} \]

Concentration of Solute in Bulk Solution at Time t:

kg/m³

Mass Transfer Coefficient:

mol/(s·m²)

Area of Leaching:

m²

Time of Batch Leaching:

seconds

Volume of Leaching Solution:

m³

Saturated Concentration (kg/m³):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Concentration of Saturated Solution in Contact with Solid?

Definition: This calculator determines the concentration of a saturated solution in contact with solid particles during batch leaching processes.

Purpose: It helps chemical engineers and process technicians estimate the maximum solute concentration achievable in a leaching operation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_S = \frac{C}{1 - e^{\left(\frac{-K_L \cdot A \cdot t}{V_{Leaching}}\right)}} \]

Where:

\( C_S \) — Saturated solution concentration (kg/m³)
\( C \) — Bulk solution concentration at time t (kg/m³)
\( K_L \) — Mass transfer coefficient (mol/(s·m²))
\( A \) — Leaching contact area (m²)
\( t \) — Leaching time (seconds)
\( V_{Leaching} \) — Volume of leaching solution (m³)

Explanation: The formula accounts for mass transfer kinetics between the solid and liquid phases during leaching.

3. Importance of Saturated Concentration Calculation

Details: Accurate estimation helps optimize leaching time, predict extraction efficiency, and design leaching equipment.

4. Using the Calculator

Tips: Enter all required parameters with positive values. Default values are provided for typical leaching conditions.

5. Frequently Asked Questions (FAQ)

Q1: What affects the mass transfer coefficient?
A: The coefficient depends on solute properties, solvent properties, temperature, and agitation intensity.

Q2: How do I determine the leaching area?
A: It's the total surface area of solid particles exposed to the solvent, often estimated from particle size distribution.

Q3: What's a typical leaching time range?
A: From minutes to several hours, depending on material and process conditions.

Q4: Does this model account for changing conditions?
A: No, it assumes constant conditions (temperature, concentration gradient, etc.) during the leaching period.

Q5: How accurate is this calculation?
A: It provides a theoretical maximum; actual concentrations may be lower due to imperfect mixing or other factors.