Solute Underflow Entering Column based on Recovery of Solute Solution

STEP 0: Pre-Calculation Summary
Formula Used
Amount of Solute in Underflow Entering Column = Amount of Solute in Underflow Leaving Column/(1-Recovery of Solute in Leaching Column)
S0 = SN/(1-Recovery)
This formula uses 3 Variables
Variables Used
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.
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.
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
Amount of Solute in Underflow Leaving Column: 2 Kilogram per Second --> 2 Kilogram per Second No Conversion Required
Recovery of Solute in Leaching Column: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S0 = SN/(1-Recovery) --> 2/(1-0.8)
Evaluating ... ...
S0 = 10
STEP 3: Convert Result to Output's Unit
10 Kilogram per Second --> No Conversion Required
FINAL ANSWER
10 Kilogram per Second <-- Amount of Solute in Underflow Entering Column
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
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25 Counter Current Continuous Leaching for Constant Overflow (Pure Solvent) Calculators

Number of Equilibirum Leaching Stages based on Solute Underflow
Go 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
Solute Underflow Entering Column based on Ratio of Overflow to Underflow
Go Amount of Solute in Underflow Entering Column = (Amount of Solute in Underflow Leaving Column*((Ratio of Discharge in Overflow to Underflow^(Number of Equilibrium Stages in Leaching+1))-1))/(Ratio of Discharge in Overflow to Underflow-1)
Solute Underflow Leaving Column based on Ratio of Overflow to Underflow
Go Amount of Solute in Underflow Leaving Column = (Amount of Solute in Underflow Entering Column*(Ratio of Discharge in Overflow to Underflow-1))/((Ratio of Discharge in Overflow to Underflow^(Number of Equilibrium Stages in Leaching+1))-1)
Number of Equilibrium Leaching Stages based on Recovery of Solute
Go 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
Number of Equilibirum Leaching Stages based on Fractional Solute Discharge
Go 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
Solute Discharged in Underflow based on Ratio of Overflow to Underflow and Solution Discharged
Go Amount of Solute Discharge in Underflow = Amount of Solution Discharge in Underflow-((Amount of Solution Discharge in Overflow-Amount of Solute Discharge in Overflow)/Ratio of Discharge in Overflow to Underflow)
Solution Discharged in Underflow based on Ratio of Overflow to Underflow and Solute Discharged
Go Amount of Solution Discharge in Underflow = Amount of Solute Discharge in Underflow+((Amount of Solution Discharge in Overflow-Amount of Solute Discharge in Overflow)/Ratio of Discharge in Overflow to Underflow)
Ratio of Solvent Discharged in Underflow to Overflow
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)
Solution Discharged in Overflow based on Ratio of Overflow to Underflow and Solute Discharged
Go Amount of Solution Discharge in Overflow = Amount of Solute Discharge in Overflow+Ratio of Discharge in Overflow to Underflow*(Amount of Solution Discharge in Underflow-Amount of Solute Discharge in Underflow)
Solute Discharged in Overflow based on Ratio of Overflow to Underflow and Solution Discharged
Go Amount of Solute Discharge in Overflow = Amount of Solution Discharge in Overflow-Ratio of Discharge in Overflow to Underflow*(Amount of Solution Discharge in Underflow-Amount of Solute Discharge in Underflow)
Fractional Solute Discharge based on Ratio of Overflow to Underflow
Go Fractional Solute Discharge = (Ratio of Discharge in Overflow to Underflow-1)/((Ratio of Discharge in Overflow to Underflow^(Number of Equilibrium Stages in Leaching+1))-1)
Solute Underflow Entering Column based on Recovery of Solute
Go Amount of Solute in Underflow Entering Column = Amount of Solute in Underflow Leaving Column/(1-Recovery of Solute in Leaching Column)
Solute Underflow Leaving Column based on Recovery of Solute
Go Amount of Solute in Underflow Leaving Column = Amount of Solute in Underflow Entering Column*(1-Recovery of Solute in Leaching Column)
Recovery of Solute based on Solute Underflow
Go Recovery of Solute in Leaching Column = 1-(Amount of Solute in Underflow Leaving Column/Amount of Solute in Underflow Entering Column)
Solution Discharged in Underflow based on Ratio of Overflow to Underflow
Go Amount of Solution Discharge in Underflow = Amount of Solution Discharge in Overflow/Ratio of Discharge in Overflow to Underflow
Solution Discharged in Overflow based on Ratio of Overflow to Underflow
Go Amount of Solution Discharge in Overflow = Ratio of Discharge in Overflow to Underflow*Amount of Solution Discharge in Underflow
Ratio of Solution Discharged in Overflow to Underflow
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
Go Amount of Solute Discharge in Overflow = Ratio of Discharge in Overflow to Underflow *Amount of Solute Discharge in Underflow
Solute Discharged in Underflow based on Ratio of Overflow to Underflow
Go Amount of Solute Discharge in Underflow = Amount of Solute Discharge in Overflow/Ratio of Discharge in Overflow to Underflow
Ratio of Solute Discharged in Underflow to Overflow
Go Ratio of Discharge in Overflow to Underflow = Amount of Solute Discharge in Overflow/Amount of Solute Discharge in Underflow
Solute Underflow Entering Column based on Fractional Solute Discharge
Go Amount of Solute in Underflow Entering Column = Amount of Solute in Underflow Leaving Column/Fractional Solute Discharge
Solute Underflow Leaving Column based on Fractional Solute Discharge
Go Amount of Solute in Underflow Leaving Column = Amount of Solute in Underflow Entering Column*Fractional Solute Discharge
Fractional Solute Discharge Ratio based on Solute Underflow
Go Fractional Solute Discharge = Amount of Solute in Underflow Leaving Column/Amount of Solute in Underflow Entering Column
Recovery of Solute based on Fractional Solute Discharge
Go Recovery of Solute in Leaching Column = 1-Fractional Solute Discharge
Fractional Solute Discharge based on Recovery of Solute
Go Fractional Solute Discharge = 1-Recovery of Solute in Leaching Column

25 Important Formulas in Solid-Liquid Extraction Calculators

Area of Contact for Batch Leaching Operation
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
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
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
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
Go 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
Number of Equilibirum Leaching Stages based on Fractional Solute Discharge
Go 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 Stages based on Original Weight of Solute
Go Number of Washings in Batch Leaching = (ln(Original Weight of Solute in Solid/Weight of Solute remaining in Solid after Washing)/ln(1+Solvent Decanted per Solvent Remaining in Solid))
Solute Discharged in Underflow based on Ratio of Overflow to Underflow and Solution Discharged
Go Amount of Solute Discharge in Underflow = Amount of Solution Discharge in Underflow-((Amount of Solution Discharge in Overflow-Amount of Solute Discharge in Overflow)/Ratio of Discharge in Overflow to Underflow)
Ratio of Solvent Discharged in Underflow to Overflow
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)
Solute Discharged in Overflow based on Ratio of Overflow to Underflow and Solution Discharged
Go Amount of Solute Discharge in Overflow = Amount of Solution Discharge in Overflow-Ratio of Discharge in Overflow to Underflow*(Amount of Solution Discharge in Underflow-Amount of Solute Discharge in Underflow)
Solvent Remaining based on Original Weight of Solute and Number of Stages
Go Amount of Solvent Remaining = Amount of Solvent Decanted/(((Original Weight of Solute in Solid/Weight of Solute remaining in Solid after Washing)^(1/Number of Washings in Batch Leaching))-1)
Solvent Decanted based on Original Weight of Solute and Number of Stages
Go Amount of Solvent Decanted = Amount of Solvent Remaining*(((Original Weight of Solute in Solid/Weight of Solute remaining in Solid after Washing)^(1/Number of Washings in Batch Leaching))-1)
Original Weight of Solute based on Number of Stages and Amount of Solvent Decanted
Go Original Weight of Solute in Solid = Weight of Solute remaining in Solid after Washing*((1+(Amount of Solvent Decanted/Amount of Solvent Remaining))^Number of Washings in Batch Leaching)
Weight of Solute remaining based on Number of Stages and Amount of Solvent Decanted
Go Weight of Solute remaining in Solid after Washing = Original Weight of Solute in Solid/((1+Amount of Solvent Decanted/Amount of Solvent Remaining)^Number of Washings in Batch Leaching)
Number of Stages based on Solvent Decanted
Go Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+(Amount of Solvent Decanted/Amount of Solvent Remaining)))
Fractional Solute Discharge based on Ratio of Overflow to Underflow
Go Fractional Solute Discharge = (Ratio of Discharge in Overflow to Underflow-1)/((Ratio of Discharge in Overflow to Underflow^(Number of Equilibrium Stages in Leaching+1))-1)
Fraction of Solute remaining based on Solvent Decanted
Go Fraction of Solute Remaining in Solid = (1/((1+ (Amount of Solvent Decanted/Amount of Solvent Remaining))^Number of Washings in Batch Leaching))
Recovery of Solute based on Solute Underflow
Go Recovery of Solute in Leaching Column = 1-(Amount of Solute in Underflow Leaving Column/Amount of Solute in Underflow Entering Column)
Ratio of Solution Discharged in Overflow to Underflow
Go Ratio of Discharge in Overflow to Underflow = Amount of Solution Discharge in Overflow/Amount of Solution Discharge in Underflow
Ratio of Solute Discharged in Underflow to Overflow
Go Ratio of Discharge in Overflow to Underflow = Amount of Solute Discharge in Overflow/Amount of Solute Discharge in Underflow
Fraction of Solute as Ratio of Solute
Go Fraction of Solute Remaining in Solid = Weight of Solute remaining in Solid after Washing/Original Weight of Solute in Solid
Fractional Solute Discharge Ratio based on Solute Underflow
Go Fractional Solute Discharge = Amount of Solute in Underflow Leaving Column/Amount of Solute in Underflow Entering Column
Beta Value based on Ratio of Solvent
Go Solvent Decanted per Solvent Remaining in Solid = Amount of Solvent Decanted/Amount of Solvent Remaining
Fractional Solute Discharge based on Recovery of Solute
Go Fractional Solute Discharge = 1-Recovery of Solute in Leaching Column
Recovery of Solute based on Fractional Solute Discharge
Go Recovery of Solute in Leaching Column = 1-Fractional Solute Discharge

Solute Underflow Entering Column based on Recovery of Solute Formula

Amount of Solute in Underflow Entering Column = Amount of Solute in Underflow Leaving Column/(1-Recovery of Solute in Leaching Column)
S0 = SN/(1-Recovery)

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 Solute Underflow Entering Column based on Recovery of Solute?

Solute Underflow Entering Column based on Recovery of Solute calculator uses Amount of Solute in Underflow Entering Column = Amount of Solute in Underflow Leaving Column/(1-Recovery of Solute in Leaching Column) to calculate the Amount of Solute in Underflow Entering Column, The Solute Underflow Entering Column based on Recovery of Solute formula is defined as the Solute Underflow that enters the Continuous Leaching operation based on recovery of solute. Amount of Solute in Underflow Entering Column is denoted by S0 symbol.

How to calculate Solute Underflow Entering Column based on Recovery of Solute using this online calculator? To use this online calculator for Solute Underflow Entering Column based on Recovery of Solute, enter Amount of Solute in Underflow Leaving Column (SN) & Recovery of Solute in Leaching Column (Recovery) and hit the calculate button. Here is how the Solute Underflow Entering Column based on Recovery of Solute calculation can be explained with given input values -> 10 = 2/(1-0.8).

FAQ

What is Solute Underflow Entering Column based on Recovery of Solute?
The Solute Underflow Entering Column based on Recovery of Solute formula is defined as the Solute Underflow that enters the Continuous Leaching operation based on recovery of solute and is represented as S0 = SN/(1-Recovery) or Amount of Solute in Underflow Entering Column = Amount of Solute in Underflow Leaving Column/(1-Recovery of Solute in Leaching Column). The Amount of Solute in Underflow leaving column is the amount of the solute leaving in the Underflow of the continuous leaching operation & 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 Solute Underflow Entering Column based on Recovery of Solute?
The Solute Underflow Entering Column based on Recovery of Solute formula is defined as the Solute Underflow that enters the Continuous Leaching operation based on recovery of solute is calculated using Amount of Solute in Underflow Entering Column = Amount of Solute in Underflow Leaving Column/(1-Recovery of Solute in Leaching Column). To calculate Solute Underflow Entering Column based on Recovery of Solute, you need Amount of Solute in Underflow Leaving Column (SN) & Recovery of Solute in Leaching Column (Recovery). With our tool, you need to enter the respective value for Amount of Solute in Underflow Leaving Column & 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 Amount of Solute in Underflow Entering Column?
In this formula, Amount of Solute in Underflow Entering Column uses Amount of Solute in Underflow Leaving Column & Recovery of Solute in Leaching Column. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Amount of Solute in Underflow Entering Column = Amount of Solute in Underflow Leaving Column/Fractional Solute Discharge
  • Amount of Solute in Underflow Entering Column = (Amount of Solute in Underflow Leaving Column*((Ratio of Discharge in Overflow to Underflow^(Number of Equilibrium Stages in Leaching+1))-1))/(Ratio of Discharge in Overflow to Underflow-1)
  • Amount of Solute in Underflow Entering Column = (Amount of Solute in Underflow Leaving Column*((Ratio of Discharge in Overflow to Underflow^(Number of Equilibrium Stages in Leaching+1))-1))/(Ratio of Discharge in Overflow to Underflow-1)
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