Fraction of Solute as Ratio of Solute Calculator

✖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 in Solid after Washing [S_N(Wash)]			+10% -10%
✖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 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 as Ratio of Solute [θ_N]

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Fraction of Solute as Ratio of Solute Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fraction of Solute Remaining in Solid = Weight of Solute remaining in Solid after Washing/Original Weight of Solute in Solid
θ_N = S_N(Wash)/S_Solute
This formula uses 3 Variables

Variables Used

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.
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.

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
Original Weight of Solute in Solid: 10 Kilogram --> 10 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_N = S_N(Wash)/S_Solute --> 0.01/10

Evaluating ... ...

θ_N = 0.001

STEP 3: Convert Result to Output's Unit

0.001 --> No Conversion Required

FINAL ANSWER

0.001 <-- Fraction of Solute Remaining in Solid

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Solid Liquid Extraction » Batch Leaching » Washing » Fraction of Solute as Ratio of Solute

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Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has created this Calculator and 300+ more calculators!

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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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

< Important Formulas in Solid Liquid Extraction Calculators

Area of Contact for Batch Leaching Operation

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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))

Fraction of Solute as Ratio of Solute Formula

LaTeX Go

Fraction of Solute Remaining in Solid = Weight of Solute remaining in Solid after Washing/Original Weight of Solute in Solid
θ_N = S_N(Wash)/S_Solute

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 Fraction of Solute as Ratio of Solute?

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

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

FAQ

What is Fraction of Solute as Ratio of Solute?

The Fraction of Solute as ratio of Solute formula is defined as the fraction of the solute remaining with the solids after washing to the weight of the original solute in the solids and is represented as θ_N = S_N(Wash)/S_Solute or Fraction of Solute Remaining in Solid = Weight of Solute remaining in Solid after Washing/Original Weight of Solute 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 Original Weight of Solute in Solid is the Weight of the solute in the solid before the Batch Leaching Operation.

How to calculate Fraction of Solute as Ratio of Solute?

The Fraction of Solute as ratio of Solute formula is defined as the fraction of the solute remaining with the solids after washing to the weight of the original solute in the solids is calculated using Fraction of Solute Remaining in Solid = Weight of Solute remaining in Solid after Washing/Original Weight of Solute in Solid. To calculate Fraction of Solute as Ratio of Solute, you need Weight of Solute remaining in Solid after Washing (S_N(Wash)) & Original Weight of Solute in Solid (S_Solute). With our tool, you need to enter the respective value for Weight of Solute remaining in Solid after Washing & Original Weight of Solute 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 Fraction of Solute Remaining in Solid?

In this formula, Fraction of Solute Remaining in Solid uses Weight of Solute remaining in Solid after Washing & Original Weight of Solute in Solid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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