Solvent Remaining based on Fraction of Solute remaining and Number of Stages Calculator

✖The Amount of Solvent Decanted is the amount of solvent that is decanted from the solid in washing stage.ⓘ Amount of Solvent Decanted [b]			+10% -10%
✖The Fraction of Solute Remaining in Solid is the fraction of the solute that is present in the solid after washing in ratio to the initial solute mass.ⓘ Fraction of Solute Remaining in Solid [θ_N]			+10% -10%
✖The Number of Washings in Batch Leaching is the number of washings required after batch leaching operation.ⓘ Number of Washings in Batch Leaching [N_Washing]			+10% -10%

✖The Amount of Solvent Remaining is the amount of solvent that is remaining in the solid in washing stage.ⓘ Solvent Remaining based on Fraction of Solute remaining and Number of Stages [a]

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Solvent Remaining based on Fraction of Solute remaining and Number of Stages Solution

STEP 0: Pre-Calculation Summary

Formula Used

Amount of Solvent Remaining = Amount of Solvent Decanted/(((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-1)
a = b/(((1/θ_N)^(1/N_Washing))-1)
This formula uses 4 Variables

Variables Used

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.
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.
Fraction of Solute Remaining in Solid - The Fraction of Solute Remaining in Solid is the fraction of the solute that is present in the solid after washing in ratio to the initial solute mass.
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 Decanted: 30 Kilogram --> 30 Kilogram No Conversion Required
Fraction of Solute Remaining in Solid: 0.001 --> No Conversion Required
Number of Washings in Batch Leaching: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = b/(((1/θ_N)^(1/N_Washing))-1) --> 30/(((1/0.001)^(1/5))-1)

Evaluating ... ...

a = 10.0634949318055

STEP 3: Convert Result to Output's Unit

10.0634949318055 Kilogram --> No Conversion Required

FINAL ANSWER

10.0634949318055 ≈ 10.06349 Kilogram <-- Amount of Solvent Remaining

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Solid Liquid Extraction » Batch Leaching » Washing » Solvent Remaining based on Fraction of Solute remaining and Number of Stages

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Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< Washing Calculators

Number of Stages for Leaching based on Fraction Solute Retained and Beta Value

LaTeX Go Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+Solvent Decanted per Solvent Remaining in Solid))

Beta Value based on Number of Stages and Fraction of Solute

LaTeX 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

LaTeX Go Fraction of Solute Remaining in Solid = (1/((1+Solvent Decanted per Solvent Remaining in Solid)^Number of Washings in Batch Leaching))

Beta Value based on Ratio of Solvent

LaTeX Go Solvent Decanted per Solvent Remaining in Solid = Amount of Solvent Decanted/Amount of Solvent Remaining

Solvent Remaining based on Fraction of Solute remaining and Number of Stages Formula

LaTeX Go

Amount of Solvent Remaining = Amount of Solvent Decanted/(((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-1)
a = b/(((1/θ_N)^(1/N_Washing))-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 Remaining based on Fraction of Solute remaining and Number of Stages?

Solvent Remaining based on Fraction of Solute remaining and Number of Stages calculator uses Amount of Solvent Remaining = Amount of Solvent Decanted/(((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-1) to calculate the Amount of Solvent Remaining, The Solvent Remaining based on Fraction of Solute remaining and Number of Stages formula is defined as the amount of solvent remaining in the solid after the washing stage based on the number of stages and the Fraction of Solute remaining. Amount of Solvent Remaining is denoted by a symbol.

How to calculate Solvent Remaining based on Fraction of Solute remaining and Number of Stages using this online calculator? To use this online calculator for Solvent Remaining based on Fraction of Solute remaining and Number of Stages, enter Amount of Solvent Decanted (b), Fraction of Solute Remaining in Solid (θ_N) & Number of Washings in Batch Leaching (N_Washing) and hit the calculate button. Here is how the Solvent Remaining based on Fraction of Solute remaining and Number of Stages calculation can be explained with given input values -> 10.06349 = 30/(((1/0.001)^(1/5))-1).

FAQ

What is Solvent Remaining based on Fraction of Solute remaining and Number of Stages?

The Solvent Remaining based on Fraction of Solute remaining and Number of Stages formula is defined as the amount of solvent remaining in the solid after the washing stage based on the number of stages and the Fraction of Solute remaining and is represented as a = b/(((1/θ_N)^(1/N_Washing))-1) or Amount of Solvent Remaining = Amount of Solvent Decanted/(((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-1). The Amount of Solvent Decanted is the amount of solvent that is decanted from the solid in washing stage, The Fraction of Solute Remaining in Solid is the fraction of the solute that is present in the solid after washing in ratio to the initial solute mass & The Number of Washings in Batch Leaching is the number of washings required after batch leaching operation.

How to calculate Solvent Remaining based on Fraction of Solute remaining and Number of Stages?

The Solvent Remaining based on Fraction of Solute remaining and Number of Stages formula is defined as the amount of solvent remaining in the solid after the washing stage based on the number of stages and the Fraction of Solute remaining is calculated using Amount of Solvent Remaining = Amount of Solvent Decanted/(((1/Fraction of Solute Remaining in Solid)^(1/Number of Washings in Batch Leaching))-1). To calculate Solvent Remaining based on Fraction of Solute remaining and Number of Stages, you need Amount of Solvent Decanted (b), Fraction of Solute Remaining in Solid (θ_N) & Number of Washings in Batch Leaching (N_Washing). With our tool, you need to enter the respective value for Amount of Solvent Decanted, Fraction of Solute Remaining in Solid & 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 Remaining?

In this formula, Amount of Solvent Remaining uses Amount of Solvent Decanted, Fraction of Solute Remaining in Solid & 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 Remaining = Amount of Solvent Decanted/Solvent Decanted per Solvent Remaining in Solid
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)

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