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The Number of Washings in Batch Leaching is the number of washings required after batch leaching operation. Check FAQs
NWashing=(ln(1θN)ln(1+β))
NWashing - Number of Washings in Batch Leaching?θN - Fraction of Solute Remaining in Solid?β - Solvent Decanted per Solvent Remaining in Solid?

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

With values
With units
Only example

Here is how the Number of Stages for Leaching based on Fraction Solute Retained and Beta Value equation looks like with Values.

Here is how the Number of Stages for Leaching based on Fraction Solute Retained and Beta Value equation looks like with Units.

Here is how the Number of Stages for Leaching based on Fraction Solute Retained and Beta Value equation looks like.

4.9829Edit=(ln(10.001Edit)ln(1+3Edit))
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Number of Stages for Leaching based on Fraction Solute Retained and Beta Value Solution

Follow our step by step solution on how to calculate Number of Stages for Leaching based on Fraction Solute Retained and Beta Value?

FIRST Step Consider the formula
NWashing=(ln(1θN)ln(1+β))
Next Step Substitute values of Variables
NWashing=(ln(10.001)ln(1+3))
Next Step Prepare to Evaluate
NWashing=(ln(10.001)ln(1+3))
Next Step Evaluate
NWashing=4.98289214233104
LAST Step Rounding Answer
NWashing=4.9829

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

Variables
Functions
Number of Washings in Batch Leaching
The Number of Washings in Batch Leaching is the number of washings required after batch leaching operation.
Symbol: NWashing
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Symbol: θN
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Symbol: β
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
ln
The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.
Syntax: ln(Number)

Other Formulas to find Number of Washings in Batch Leaching

​Go Number of Stages based on Solvent Decanted
NWashing=(ln(1θN)ln(1+(ba)))
​Go Number of Stages based on Original Weight of Solute
NWashing=(ln(SSoluteSN(Wash))ln(1+β))

Other formulas in Washing category

​Go Fraction of Solute Remaining based on Beta Value
θN=(1(1+β)NWashing)
​Go Beta Value based on Ratio of Solvent
β=ba
​Go Beta Value based on Number of Stages and Fraction of Solute
β=((1θN)1NWashing)-1
​Go Fraction of Solute as Ratio of Solute
θN=SN(Wash)SSolute

How to Evaluate 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 evaluator uses Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+Solvent Decanted per Solvent Remaining in Solid)) to evaluate the Number of Washings in Batch Leaching, The Number of Stages for Leaching based on Fraction Solute retained and Beta Value formula is defined as the number of washing in batch leaching operation to attain the Fractional Solute remaining in the solid. Number of Washings in Batch Leaching is denoted by NWashing symbol.

How to evaluate Number of Stages for Leaching based on Fraction Solute Retained and Beta Value using this online evaluator? To use this online evaluator for Number of Stages for Leaching based on Fraction Solute Retained and Beta Value, enter Fraction of Solute Remaining in Solid N) & Solvent Decanted per Solvent Remaining in Solid (β) and hit the calculate button.

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

What is the formula to find Number of Stages for Leaching based on Fraction Solute Retained and Beta Value?
The formula of Number of Stages for Leaching based on Fraction Solute Retained and Beta Value is expressed as Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+Solvent Decanted per Solvent Remaining in Solid)). Here is an example- 4.982892 = (ln(1/0.001)/ln(1+3)).
How to calculate Number of Stages for Leaching based on Fraction Solute Retained and Beta Value?
With Fraction of Solute Remaining in Solid N) & Solvent Decanted per Solvent Remaining in Solid (β) we can find Number of Stages for Leaching based on Fraction Solute Retained and Beta Value using the formula - Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+Solvent Decanted per Solvent Remaining in Solid)). This formula also uses Natural Logarithm (ln) function(s).
What are the other ways to Calculate Number of Washings in Batch Leaching?
Here are the different ways to Calculate Number of Washings in Batch Leaching-
  • Number of Washings in Batch Leaching=(ln(1/Fraction of Solute Remaining in Solid)/ln(1+(Amount of Solvent Decanted/Amount of Solvent Remaining)))OpenImg
  • 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))OpenImg
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