Weight of Solute remaining based on Number of Stages and Beta Value Calculator

✖The Original Weight of Solute in Solid is the Weight of the solute in the solid before the Batch Leaching Operation.ⓘ Original Weight of Solute in Solid [S_Solute]			+10% -10%
✖The Solvent Decanted per Solvent Remaining in Solid is the ratio of the solvent mass decanted per unit solvent remaining in the insoluble solid.ⓘ Solvent Decanted per Solvent Remaining in Solid [β]			+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 Weight of Solute remaining in Solid after Washing is the weight of the solute present in the solid after the washing stage.ⓘ Weight of Solute remaining based on Number of Stages and Beta Value [S_N(Wash)]

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Formula

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Weight of Solute remaining based on Number of Stages and Beta Value

Formula

`"S"_{"N(Wash)"} = "S"_{"Solute"}/((1+"β")^"N"_{"Washing"})`

Example

`"0.009766kg"="10kg"/((1+"3")^"5")`

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Weight of Solute remaining based on Number of Stages and Beta Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
S_N(Wash) = S_Solute/((1+β)^N_Washing)
This formula uses 4 Variables

Variables Used

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.
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.
Solvent Decanted per Solvent Remaining in Solid - The Solvent Decanted per Solvent Remaining in Solid is the ratio of the solvent mass decanted per unit solvent remaining in the insoluble solid.
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

Original Weight of Solute in Solid: 10 Kilogram --> 10 Kilogram No Conversion Required
Solvent Decanted per Solvent Remaining in Solid: 3 --> No Conversion Required
Number of Washings in Batch Leaching: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_N(Wash) = S_Solute/((1+β)^N_Washing) --> 10/((1+3)^5)

Evaluating ... ...

S_N(Wash) = 0.009765625

STEP 3: Convert Result to Output's Unit

0.009765625 Kilogram --> No Conversion Required

FINAL ANSWER

0.009765625 ≈ 0.009766 Kilogram <-- Weight of Solute remaining in Solid after Washing

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Solid-Liquid Extraction » Batch Leaching » Washing » Weight of Solute remaining based on Number of Stages and Beta Value

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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

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

Amount of Solvent Decanted

Go Amount of Solvent Decanted = Amount of Solvent Remaining*Solvent Decanted per Solvent Remaining in Solid

Weight of Solute remaining based on Number of Stages and Beta Value Formula

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 Weight of Solute remaining based on Number of Stages and Beta Value?

Weight of Solute remaining based on Number of Stages and Beta Value calculator uses 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) to calculate the Weight of Solute remaining in Solid after Washing, The Weight of Solute remaining based on Number of Stages and Beta Value formula is defined as the Weight of Solute remaining in the Solid after specified washing stages and original solute weight. Weight of Solute remaining in Solid after Washing is denoted by S_N(Wash) symbol.

How to calculate Weight of Solute remaining based on Number of Stages and Beta Value using this online calculator? To use this online calculator for Weight of Solute remaining based on Number of Stages and Beta Value, enter Original Weight of Solute in Solid (S_Solute), Solvent Decanted per Solvent Remaining in Solid (β) & Number of Washings in Batch Leaching (N_Washing) and hit the calculate button. Here is how the Weight of Solute remaining based on Number of Stages and Beta Value calculation can be explained with given input values -> 0.009766 = 10/((1+3)^5).

FAQ

What is Weight of Solute remaining based on Number of Stages and Beta Value?

The Weight of Solute remaining based on Number of Stages and Beta Value formula is defined as the Weight of Solute remaining in the Solid after specified washing stages and original solute weight and is represented as S_N(Wash) = S_Solute/((1+β)^N_Washing) or 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). The Original Weight of Solute in Solid is the Weight of the solute in the solid before the Batch Leaching Operation, The Solvent Decanted per Solvent Remaining in Solid is the ratio of the solvent mass decanted per unit solvent remaining in the insoluble solid & The Number of Washings in Batch Leaching is the number of washings required after batch leaching operation.

How to calculate Weight of Solute remaining based on Number of Stages and Beta Value?

The Weight of Solute remaining based on Number of Stages and Beta Value formula is defined as the Weight of Solute remaining in the Solid after specified washing stages and original solute weight is calculated using 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). To calculate Weight of Solute remaining based on Number of Stages and Beta Value, you need Original Weight of Solute in Solid (S_Solute), Solvent Decanted per Solvent Remaining in Solid (β) & Number of Washings in Batch Leaching (N_Washing). With our tool, you need to enter the respective value for Original Weight of Solute in Solid, Solvent Decanted per Solvent 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 Weight of Solute remaining in Solid after Washing?

In this formula, Weight of Solute remaining in Solid after Washing uses Original Weight of Solute in Solid, Solvent Decanted per Solvent 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 -

Weight of Solute remaining in Solid after Washing = Fraction of Solute Remaining in Solid*Original Weight of Solute in Solid
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)

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