Number of Equilibirum Leaching Stages based on Solute Underflow Calculator

✖The Amount of Solute in Underflow entering column is the amount of the solute entering in the Underflow of the continuous leaching operation.ⓘ Amount of Solute in Underflow Entering Column [S₀]			+10% -10%
✖The Ratio of Discharge in Overflow to Underflow is the ratio of the solution, solvent or solute discharge in the overflow to that in the underflow.ⓘ Ratio of Discharge in Overflow to Underflow [R]			+10% -10%
✖The Amount of Solute in Underflow leaving column is the amount of the solute leaving in the Underflow of the continuous leaching operation.ⓘ Amount of Solute in Underflow Leaving Column [S_N]			+10% -10%

✖The Number of Equilibrium Stages in Leaching is the Number of mass transfer stages in leaching operation required to attain a specified level of solid concentration.ⓘ Number of Equilibirum Leaching Stages based on Solute Underflow [N]

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Number of Equilibirum Leaching Stages based on Solute Underflow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Equilibrium Stages in Leaching = (log10(1+((Amount of Solute in Underflow Entering Column*(Ratio of Discharge in Overflow to Underflow-1))/Amount of Solute in Underflow Leaving Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1
N = (log10(1+((S₀*(R-1))/S_N)))/(log10(R))-1
This formula uses 1 Functions, 4 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Number of Equilibrium Stages in Leaching - The Number of Equilibrium Stages in Leaching is the Number of mass transfer stages in leaching operation required to attain a specified level of solid concentration.
Amount of Solute in Underflow Entering Column - (Measured in Kilogram per Second) - The Amount of Solute in Underflow entering column is the amount of the solute entering in the Underflow of the continuous leaching operation.
Ratio of Discharge in Overflow to Underflow - The Ratio of Discharge in Overflow to Underflow is the ratio of the solution, solvent or solute discharge in the overflow to that in the underflow.
Amount of Solute in Underflow Leaving Column - (Measured in Kilogram per Second) - The Amount of Solute in Underflow leaving column is the amount of the solute leaving in the Underflow of the continuous leaching operation.

STEP 1: Convert Input(s) to Base Unit

Amount of Solute in Underflow Entering Column: 9.85 Kilogram per Second --> 9.85 Kilogram per Second No Conversion Required
Ratio of Discharge in Overflow to Underflow: 1.35 --> No Conversion Required
Amount of Solute in Underflow Leaving Column: 2 Kilogram per Second --> 2 Kilogram per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (log10(1+((S₀*(R-1))/S_N)))/(log10(R))-1 --> (log10(1+((9.85*(1.35-1))/2)))/(log10(1.35))-1

Evaluating ... ...

N = 2.33886795631929

STEP 3: Convert Result to Output's Unit

2.33886795631929 --> No Conversion Required

FINAL ANSWER

2.33886795631929 ≈ 2.338868 <-- Number of Equilibrium Stages in Leaching

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Solid Liquid Extraction » Counter Current Continuous Leaching for Constant Overflow (Pure Solvent) » Number of Equilibirum Leaching Stages based on Solute Underflow

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< Counter Current Continuous Leaching for Constant Overflow (Pure Solvent) Calculators

Ratio of Solvent Discharged in Underflow to Overflow

LaTeX Go Ratio of Discharge in Overflow to Underflow = (Amount of Solution Discharge in Overflow-Amount of Solute Discharge in Overflow)/(Amount of Solution Discharge in Underflow-Amount of Solute Discharge in Underflow)

Ratio of Solution Discharged in Overflow to Underflow

LaTeX Go Ratio of Discharge in Overflow to Underflow = Amount of Solution Discharge in Overflow/Amount of Solution Discharge in Underflow

Solute Discharged in Overflow based on Ratio of Overflow to Underflow

LaTeX Go Amount of Solute Discharge in Overflow = Ratio of Discharge in Overflow to Underflow*Amount of Solute Discharge in Underflow

Ratio of Solute Discharged in Underflow to Overflow

LaTeX Go Ratio of Discharge in Overflow to Underflow = Amount of Solute Discharge in Overflow/Amount of Solute Discharge in Underflow

Number of Equilibirum Leaching Stages based on Solute Underflow Formula

LaTeX Go

What is Leaching Operation?

Leaching is a mass transfer operation in which we have a solid material which either contains components which are valuable to us or components which are considered an impurity of the solid, no matter what the case, such components are called solute. We take a liquid which is called a solvent and contact it intimately with the solid in order to extract the solute from the solid and bring it into the liquid thus effecting a separation. Leaching is a solid-liquid extraction process. The process of leaching generally concerns with processes where the solid is inert and contains soluble solute which is extracted from the inert solid with the help of chemical reaction; for example, the leaching of valuable metals from waste materials by using sulphuric acid. The process of leaching is extremely common in metallurgical industries.

What are the Factors affecting Solvent Selection in Leaching Process?

Solubility of the target substance: The solvent should be able to dissolve the target substance to an acceptable extent. Chemical compatibility: The solvent should be chemically compatible with the target substance and not cause any adverse chemical reactions. Toxicity: The solvent should be safe for the environment and not pose any health risks to workers handling it. Cost: The cost of the solvent should be economically viable and not be too expensive. Recovery: The solvent should be recoverable and reusable. Boiling point: The boiling point of the solvent should be appropriate for the temperature range used in the process. Specific gravity: The specific gravity of the solvent should be suitable for the separation process. Viscosity: The viscosity of the solvent should be appropriate for efficient mixing and separation. Regulatory compliance: The solvent should comply with the relevant environmental regulations.

How to Calculate Number of Equilibirum Leaching Stages based on Solute Underflow?

Number of Equilibirum Leaching Stages based on Solute Underflow calculator uses Number of Equilibrium Stages in Leaching = (log10(1+((Amount of Solute in Underflow Entering Column*(Ratio of Discharge in Overflow to Underflow-1))/Amount of Solute in Underflow Leaving Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1 to calculate the Number of Equilibrium Stages in Leaching, The Number of Equilibirum Leaching Stages based on Solute Underflow formula is defined as the number of equilibrium mass transfer stages required to achieve the Solute underflow for given Ratio of overflow to underflow of the column. Number of Equilibrium Stages in Leaching is denoted by N symbol.

How to calculate Number of Equilibirum Leaching Stages based on Solute Underflow using this online calculator? To use this online calculator for Number of Equilibirum Leaching Stages based on Solute Underflow, enter Amount of Solute in Underflow Entering Column (S₀), Ratio of Discharge in Overflow to Underflow (R) & Amount of Solute in Underflow Leaving Column (S_N) and hit the calculate button. Here is how the Number of Equilibirum Leaching Stages based on Solute Underflow calculation can be explained with given input values -> 2.338868 = (log10(1+((9.85*(1.35-1))/2)))/(log10(1.35))-1.

FAQ

What is Number of Equilibirum Leaching Stages based on Solute Underflow?

The Number of Equilibirum Leaching Stages based on Solute Underflow formula is defined as the number of equilibrium mass transfer stages required to achieve the Solute underflow for given Ratio of overflow to underflow of the column and is represented as N = (log10(1+((S₀*(R-1))/S_N)))/(log10(R))-1 or Number of Equilibrium Stages in Leaching = (log10(1+((Amount of Solute in Underflow Entering Column*(Ratio of Discharge in Overflow to Underflow-1))/Amount of Solute in Underflow Leaving Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1. The Amount of Solute in Underflow entering column is the amount of the solute entering in the Underflow of the continuous leaching operation, The Ratio of Discharge in Overflow to Underflow is the ratio of the solution, solvent or solute discharge in the overflow to that in the underflow & The Amount of Solute in Underflow leaving column is the amount of the solute leaving in the Underflow of the continuous leaching operation.

How to calculate Number of Equilibirum Leaching Stages based on Solute Underflow?

The Number of Equilibirum Leaching Stages based on Solute Underflow formula is defined as the number of equilibrium mass transfer stages required to achieve the Solute underflow for given Ratio of overflow to underflow of the column is calculated using Number of Equilibrium Stages in Leaching = (log10(1+((Amount of Solute in Underflow Entering Column*(Ratio of Discharge in Overflow to Underflow-1))/Amount of Solute in Underflow Leaving Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1. To calculate Number of Equilibirum Leaching Stages based on Solute Underflow, you need Amount of Solute in Underflow Entering Column (S₀), Ratio of Discharge in Overflow to Underflow (R) & Amount of Solute in Underflow Leaving Column (S_N). With our tool, you need to enter the respective value for Amount of Solute in Underflow Entering Column, Ratio of Discharge in Overflow to Underflow & Amount of Solute in Underflow Leaving Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Number of Equilibrium Stages in Leaching?

In this formula, Number of Equilibrium Stages in Leaching uses Amount of Solute in Underflow Entering Column, Ratio of Discharge in Overflow to Underflow & Amount of Solute in Underflow Leaving Column. We can use 2 other way(s) to calculate the same, which is/are as follows -

Number of Equilibrium Stages in Leaching = (log10(1+(Ratio of Discharge in Overflow to Underflow-1)/Fractional Solute Discharge))/(log10(Ratio of Discharge in Overflow to Underflow))-1
Number of Equilibrium Stages in Leaching = (log10(1+(Ratio of Discharge in Overflow to Underflow-1)/(1-Recovery of Solute in Leaching Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1

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