Original Weight of Solute in Solid before Washing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Original Weight of Solute in Solid = Weight of Solute remaining in Solid after Washing/Fraction of Solute Remaining in Solid
S = SN/θN
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Weight of Solute remaining in Solid after Washing: 0.01 Kilogram --> 0.01 Kilogram No Conversion Required
Fraction of Solute Remaining in Solid: 0.001 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = SNN --> 0.01/0.001
Evaluating ... ...
S = 10
STEP 3: Convert Result to Output's Unit
10 Kilogram --> No Conversion Required
FINAL ANSWER
10 Kilogram <-- Original Weight of Solute in Solid
(Calculation completed in 00.000 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has created this Calculator and 100+ more calculators!
Verified by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
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10+ Washing Calculators

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

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

Formula
`"N" = (ln(1/"θ"_{"N"})/ln(1+"β"))`

Example
`"4.982892"=(ln(1/"0.001")/ln(1+"3"))`

Calculator
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))
Fraction of Solute remaining based on Solvent Decanted

Fraction of Solute remaining based on Solvent Decanted

Formula
`"θ"_{"N"} = (1/((1+ ("b"/"a"))^"N"))`

Example
`"0.000977"=(1/((1+ ("30kg"/"10kg"))^"5"))`

Calculator
LaTeX
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

Beta Value based on Number of Stages and Fraction of Solute

Formula
`"β" = ((1/"θ"_{"N"})^(1/"N"))-1`

Example
`"2.981072"=((1/"0.001")^(1/"5"))-1`

Calculator
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

Fraction of Solute Remaining based on Beta Value

Formula
`"θ"_{"N"} = (1/((1+"β")^"N"))`

Example
`"0.000977"=(1/((1+"3")^"5"))`

Calculator
LaTeX
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

Original Weight of Solute in Solid before Washing

Formula
`"S" = "S"_{"N"}/"θ"_{"N"}`

Example
`"10kg"="0.01kg"/"0.001"`

Calculator
LaTeX
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

Fraction of Solute as ratio of Solute

Formula
`"θ"_{"N"} = "S"_{"N"}/"S"`

Example
`"0.1"="0.01kg"/"0.1kg"`

Calculator
LaTeX
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

Weight of Solute remaining in Solid

Formula
`"S"_{"N"} = "θ"_{"N"}*"S"`

Example
`"0.0001kg"="0.001"*"0.1kg"`

Calculator
LaTeX
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

Amount of Solvent Decanted

Formula
`"b" = "a"*"β" `

Example
`"30kg"="10kg"*"3" `

Calculator
LaTeX
Go Amount of Solvent Decanted = Amount of Solvent Remaining*Solvent Decanted per Solvent Remaining in Solid
Beta Value based on ratio of Solvent

Beta Value based on ratio of Solvent

Formula
`"β" = "b"/"a"`

Example
`"3"="30kg"/"10kg"`

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

Amount of Solvent Remaining

Formula
`"a" = "b"/"β"`

Example
`"10kg"="30kg"/"3"`

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

Original Weight of Solute in Solid before Washing Formula

Original Weight of Solute in Solid = Weight of Solute remaining in Solid after Washing/Fraction of Solute Remaining in Solid
S = SN/θN

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 Original Weight of Solute in Solid before Washing?

Original Weight of Solute in Solid before Washing calculator uses Original Weight of Solute in Solid = Weight of Solute remaining in Solid after Washing/Fraction of Solute Remaining in Solid to calculate the Original Weight of Solute in Solid, The Original Weight of Solute in Solid before Washing formula is defined as the original solute present in solids as a ratio of the Weight of Solute after washing to the fraction of solute remaining. Original Weight of Solute in Solid is denoted by S symbol.

How to calculate Original Weight of Solute in Solid before Washing using this online calculator? To use this online calculator for Original Weight of Solute in Solid before Washing, enter Weight of Solute remaining in Solid after Washing (SN) & Fraction of Solute Remaining in Solid N) and hit the calculate button. Here is how the Original Weight of Solute in Solid before Washing calculation can be explained with given input values -> 10 = 0.01/0.001.

FAQ

What is Original Weight of Solute in Solid before Washing?
The Original Weight of Solute in Solid before Washing formula is defined as the original solute present in solids as a ratio of the Weight of Solute after washing to the fraction of solute remaining and is represented as S = SN/θN or Original Weight of Solute in Solid = Weight of Solute remaining in Solid after Washing/Fraction of Solute Remaining in Solid. The Weight of Solute remaining in Solid after Washing is the weight of the solute present in the solid after the 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.
How to calculate Original Weight of Solute in Solid before Washing?
The Original Weight of Solute in Solid before Washing formula is defined as the original solute present in solids as a ratio of the Weight of Solute after washing to the fraction of solute remaining is calculated using Original Weight of Solute in Solid = Weight of Solute remaining in Solid after Washing/Fraction of Solute Remaining in Solid. To calculate Original Weight of Solute in Solid before Washing, you need Weight of Solute remaining in Solid after Washing (SN) & Fraction of Solute Remaining in Solid N). With our tool, you need to enter the respective value for Weight of Solute remaining in Solid after Washing & Fraction of Solute Remaining in Solid 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 Original Weight of Solute in Solid?
In this formula, Original Weight of Solute in Solid uses Weight of Solute remaining in Solid after Washing & Fraction of Solute Remaining in Solid. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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