Number of Equilibrium Leaching Stages based on Recovery of Solute Calculator

✖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 Recovery of Solute in Leaching column is defined as the ratio of the amount of solute recovered to the amount of solute feed into the column.ⓘ Recovery of Solute in Leaching Column [Recovery]			+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 Equilibrium Leaching Stages based on Recovery of Solute [N]

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Number of Equilibrium Leaching Stages based on Recovery of Solute Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
N = (log10(1+(R-1)/(1-Recovery)))/(log10(R))-1
This formula uses 1 Functions, 3 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.
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.
Recovery of Solute in Leaching Column - The Recovery of Solute in Leaching column is defined as the ratio of the amount of solute recovered to the amount of solute feed into the column.

STEP 1: Convert Input(s) to Base Unit

Ratio of Discharge in Overflow to Underflow: 1.35 --> No Conversion Required
Recovery of Solute in Leaching Column: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (log10(1+(R-1)/(1-Recovery)))/(log10(R))-1 --> (log10(1+(1.35-1)/(1-0.8)))/(log10(1.35))-1

Evaluating ... ...

N = 2.37082782845411

STEP 3: Convert Result to Output's Unit

2.37082782845411 --> No Conversion Required

FINAL ANSWER

2.37082782845411 ≈ 2.370828 <-- Number of Equilibrium Stages in Leaching

(Calculation completed in 00.004 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 Equilibrium Leaching Stages based on Recovery of Solute

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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

< Important Formulas in Solid Liquid Extraction Calculators

Area of Contact for Batch Leaching Operation

LaTeX Go Area of Leaching = (-Volume of Leaching Solution/(Mass Transfer Coefficient for Batch Leaching*Time of Batch Leaching))*ln(((Concentration of Saturated Solution with Solute-Concentration of Solute in Bulk Solution at Time t)/Concentration of Saturated Solution with Solute))

Time of Batch Leaching Operation

LaTeX Go Time of Batch Leaching = (-Volume of Leaching Solution/(Area of Leaching*Mass Transfer Coefficient for Batch Leaching))*ln(((Concentration of Saturated Solution with Solute-Concentration of Solute in Bulk Solution at Time t)/Concentration of Saturated Solution with Solute))

Volume of Leaching Solution in Batch Leaching

LaTeX Go Volume of Leaching Solution = (-Mass Transfer Coefficient for Batch Leaching*Area of Leaching*Time of Batch Leaching)/ln(((Concentration of Saturated Solution with Solute-Concentration of Solute in Bulk Solution at Time t)/Concentration of Saturated Solution with Solute))

Concentration of Solute in Bulk Solution at Time t for Batch Leaching

LaTeX Go Concentration of Solute in Bulk Solution at Time t = Concentration of Saturated Solution with Solute*(1-exp((-Mass Transfer Coefficient for Batch Leaching*Area of Leaching*Time of Batch Leaching)/Volume of Leaching Solution))

Number of Equilibrium Leaching Stages based on Recovery of Solute 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 Equilibrium Leaching Stages based on Recovery of Solute?

Number of Equilibrium Leaching Stages based on Recovery of Solute calculator uses 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 to calculate the Number of Equilibrium Stages in Leaching, The Number of Equilibrium Leaching Stages based on Recovery of Solute formula is defined as the number of equilibrium mass transfer stages required to achieve the specified recovery of solute 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 Equilibrium Leaching Stages based on Recovery of Solute using this online calculator? To use this online calculator for Number of Equilibrium Leaching Stages based on Recovery of Solute, enter Ratio of Discharge in Overflow to Underflow (R) & Recovery of Solute in Leaching Column (Recovery) and hit the calculate button. Here is how the Number of Equilibrium Leaching Stages based on Recovery of Solute calculation can be explained with given input values -> 2.370828 = (log10(1+(1.35-1)/(1-0.8)))/(log10(1.35))-1.

FAQ

What is Number of Equilibrium Leaching Stages based on Recovery of Solute?

The Number of Equilibrium Leaching Stages based on Recovery of Solute formula is defined as the number of equilibrium mass transfer stages required to achieve the specified recovery of solute for given Ratio of overflow to underflow of the column and is represented as N = (log10(1+(R-1)/(1-Recovery)))/(log10(R))-1 or 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. 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 Recovery of Solute in Leaching column is defined as the ratio of the amount of solute recovered to the amount of solute feed into the column.

How to calculate Number of Equilibrium Leaching Stages based on Recovery of Solute?

The Number of Equilibrium Leaching Stages based on Recovery of Solute formula is defined as the number of equilibrium mass transfer stages required to achieve the specified recovery of solute for given Ratio of overflow to underflow of the column is calculated using 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. To calculate Number of Equilibrium Leaching Stages based on Recovery of Solute, you need Ratio of Discharge in Overflow to Underflow (R) & Recovery of Solute in Leaching Column (Recovery). With our tool, you need to enter the respective value for Ratio of Discharge in Overflow to Underflow & Recovery of Solute in Leaching 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 Ratio of Discharge in Overflow to Underflow & Recovery of Solute in Leaching Column. We can use 3 other way(s) to calculate the same, which is/are as follows -

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
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)/Fractional Solute Discharge))/(log10(Ratio of Discharge in Overflow to Underflow))-1

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