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

STEP 0: Pre-Calculation Summary
Formula Used
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)
b = a*(((SSolute/SN(Wash))^(1/NWashing))-1)
This formula uses 5 Variables
Variables Used
Amount of Solvent Decanted - (Measured in Kilogram) - The Amount of Solvent Decanted is the amount of solvent that is decanted from the solid in washing stage.
Amount of Solvent Remaining - (Measured in Kilogram) - The Amount of Solvent Remaining is the amount of solvent that is remaining in the solid in washing stage.
Original Weight of Solute in Solid - (Measured in Kilogram) - The Original Weight of Solute in Solid is the Weight of the solute in the solid before the Batch Leaching Operation.
Weight of Solute remaining in Solid after Washing - (Measured in Kilogram) - The Weight of Solute remaining in Solid after Washing is the weight of the solute present in the solid after the washing stage.
Number of Washings in Batch Leaching - The Number of Washings in Batch Leaching is the number of washings required after batch leaching operation.
STEP 1: Convert Input(s) to Base Unit
Amount of Solvent Remaining: 10.5 Kilogram --> 10.5 Kilogram No Conversion Required
Original Weight of Solute in Solid: 10 Kilogram --> 10 Kilogram No Conversion Required
Weight of Solute remaining in Solid after Washing: 0.01 Kilogram --> 0.01 Kilogram No Conversion Required
Number of Washings in Batch Leaching: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = a*(((SSolute/SN(Wash))^(1/NWashing))-1) --> 10.5*(((10/0.01)^(1/5))-1)
Evaluating ... ...
b = 31.3012529081172
STEP 3: Convert Result to Output's Unit
31.3012529081172 Kilogram --> No Conversion Required
FINAL ANSWER
31.3012529081172 31.30125 Kilogram <-- Amount of Solvent Decanted
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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21 Washing Calculators

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))
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)))
Beta Value based on Original Weight of Solute
Go Solvent Decanted per Solvent Remaining in Solid = ((1/(Weight of Solute remaining in Solid after Washing/Original Weight of Solute in Solid))^(1/Number of Washings in Batch Leaching))-1
Weight of Solute remaining based on Number of Stages and Beta Value
Go Weight of Solute remaining in Solid after Washing = Original Weight of Solute in Solid/((1+Solvent Decanted per Solvent Remaining in Solid)^Number of Washings in Batch Leaching)
Original Weight of Solute based on Number of Stages and Beta Value
Go Original Weight of Solute in Solid = Weight of Solute remaining in Solid after Washing*((1+Solvent Decanted per Solvent Remaining in Solid)^Number of Washings in Batch Leaching)
Number of Stages for Leaching based on Fraction Solute Retained and Beta Value
Go Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+Solvent Decanted per Solvent Remaining in Solid))
Solvent Remaining based on Fraction of Solute remaining and Number of Stages
Go Amount of Solvent Remaining = Amount of Solvent Decanted/(((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-1)
Solvent Decanted based on Fraction of Solute remaining and Number of Stages
Go Amount of Solvent Decanted = Amount of Solvent Remaining*(((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-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))
Beta Value based on Number of Stages and Fraction of Solute
Go Solvent Decanted per Solvent Remaining in Solid = ((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-1
Fraction of Solute Remaining based on Beta Value
Go Fraction of Solute Remaining in Solid = (1/((1+Solvent Decanted per Solvent Remaining in Solid)^Number of Washings in Batch Leaching))
Original Weight of Solute in Solid before Washing
Go Original Weight of Solute in Solid = Weight of Solute remaining in Solid after Washing/Fraction of Solute Remaining in Solid
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
Weight of Solute remaining in Solid
Go Weight of Solute remaining in Solid after Washing = Fraction of Solute Remaining in Solid*Original Weight of Solute in Solid
Amount of Solvent Decanted
Go Amount of Solvent Decanted = Amount of Solvent Remaining*Solvent Decanted per Solvent Remaining in Solid
Beta Value based on Ratio of Solvent
Go Solvent Decanted per Solvent Remaining in Solid = Amount of Solvent Decanted/Amount of Solvent Remaining
Amount of Solvent Remaining
Go Amount of Solvent Remaining = Amount of Solvent Decanted/Solvent Decanted per Solvent Remaining in Solid

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

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

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)
b = a*(((SSolute/SN(Wash))^(1/NWashing))-1)

What is Batch Leaching Test?

The Batch Leaching test estimates how readily solute particles mobilize out of the solid material if the material comes into contact with the solvent. The test involves placing a given mass of the solid sample in a container with a specific volume of a liquid solvent (leaching solution). The mixture is agitated for a specific amount of time. Afterwards, the mixture is filtered and the liquid (the leachate) is analyzed for contaminants. Batch Leaching is a two-step process, 1. Contacting solvent and solid to effect a transfer of a solute (leaching). 2. The separation of the solution from the remaining solid (washing).

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.

How to Calculate Solvent Decanted based on Original Weight of Solute and Number of Stages?

Solvent Decanted based on Original Weight of Solute and Number of Stages calculator uses 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) to calculate the Amount of Solvent Decanted, The Solvent Decanted based on Original Weight of Solute and Number of Stages formula is defined as the Amount of Solvent Decanted in Washing process based on the original weight of solute and the Number of stages. Amount of Solvent Decanted is denoted by b symbol.

How to calculate Solvent Decanted based on Original Weight of Solute and Number of Stages using this online calculator? To use this online calculator for Solvent Decanted based on Original Weight of Solute and Number of Stages, enter Amount of Solvent Remaining (a), Original Weight of Solute in Solid (SSolute), Weight of Solute remaining in Solid after Washing (SN(Wash)) & Number of Washings in Batch Leaching (NWashing) and hit the calculate button. Here is how the Solvent Decanted based on Original Weight of Solute and Number of Stages calculation can be explained with given input values -> 31.30125 = 10.5*(((10/0.01)^(1/5))-1).

FAQ

What is Solvent Decanted based on Original Weight of Solute and Number of Stages?
The Solvent Decanted based on Original Weight of Solute and Number of Stages formula is defined as the Amount of Solvent Decanted in Washing process based on the original weight of solute and the Number of stages and is represented as b = a*(((SSolute/SN(Wash))^(1/NWashing))-1) or 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). The Amount of Solvent Remaining is the amount of solvent that is remaining in the solid in washing stage, The Original Weight of Solute in Solid is the Weight of the solute in the solid before the Batch Leaching Operation, The Weight of Solute remaining in Solid after Washing is the weight of the solute present in the solid after the washing stage & The Number of Washings in Batch Leaching is the number of washings required after batch leaching operation.
How to calculate Solvent Decanted based on Original Weight of Solute and Number of Stages?
The Solvent Decanted based on Original Weight of Solute and Number of Stages formula is defined as the Amount of Solvent Decanted in Washing process based on the original weight of solute and the Number of stages is calculated using 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). To calculate Solvent Decanted based on Original Weight of Solute and Number of Stages, you need Amount of Solvent Remaining (a), Original Weight of Solute in Solid (SSolute), Weight of Solute remaining in Solid after Washing (SN(Wash)) & Number of Washings in Batch Leaching (NWashing). With our tool, you need to enter the respective value for Amount of Solvent Remaining, Original Weight of Solute in Solid, Weight of Solute remaining in Solid after Washing & Number of Washings in Batch Leaching 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 Solvent Decanted?
In this formula, Amount of Solvent Decanted uses Amount of Solvent Remaining, Original Weight of Solute in Solid, Weight of Solute remaining in Solid after Washing & Number of Washings in Batch Leaching. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Amount of Solvent Decanted = Amount of Solvent Remaining*Solvent Decanted per Solvent Remaining in Solid
  • Amount of Solvent Decanted = Amount of Solvent Remaining*(((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-1)
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