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Number of Stages based on Solvent Decanted Formula

GoNumber of Stages based on Original Weight of Solute Formula

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The Number of Washings in Batch Leaching is the number of washings required after batch leaching operation. Check FAQs

N Washing = (\frac{\ln (\frac{1}{θ N})}{\ln (1 + (\frac{b}{a}))})

N_Washing - Number of Washings in Batch Leaching?θ_N - Fraction of Solute Remaining in Solid?b - Amount of Solvent Decanted?a - Amount of Solvent Remaining?

Number of Stages based on Solvent Decanted Example

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Here is how the Number of Stages based on Solvent Decanted equation looks like with Values.

Here is how the Number of Stages based on Solvent Decanted equation looks like with Units.

Here is how the Number of Stages based on Solvent Decanted equation looks like.

5.1171 = (\frac{\ln (\frac{1}{0.001})}{\ln (1 + (\frac{30}{10.5}))})

5.1171 = (\frac{\ln (\frac{1}{0.001})}{\ln (1 + (\frac{30kg}{10.5kg}))})

5.1171 = (\frac{\ln (\frac{1}{0.001})}{\ln (1 + (\frac{30}{10.5}))})

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Number of Stages based on Solvent Decanted Solution

Follow our step by step solution on how to calculate Number of Stages based on Solvent Decanted?

FIRST Step Consider the formula

N Washing = (\frac{\ln (\frac{1}{θ N})}{\ln (1 + (\frac{b}{a}))})

Next Step Substitute values of Variables

∴

N Washing = (\frac{\ln (\frac{1}{0.001})}{\ln (1 + (\frac{30kg}{10.5kg}))})

Next Step Prepare to Evaluate

∴

N Washing = (\frac{\ln (\frac{1}{0.001})}{\ln (1 + (\frac{30}{10.5}))})

Next Step Evaluate

∴

N Washing = 5.11713353936311

LAST Step Rounding Answer

∴

N Washing = 5.1171

Number of Stages based on Solvent Decanted 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: N_Washing

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Washings in Batch Leaching

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: θ_N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fraction of Solute Remaining in Solid

Amount of Solvent Decanted

The Amount of Solvent Decanted is the amount of solvent that is decanted from the solid in washing stage.

Symbol: b

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Amount of Solvent Decanted

Amount of Solvent Remaining

The Amount of Solvent Remaining is the amount of solvent that is remaining in the solid in washing stage.

Symbol: a

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Amount of Solvent Remaining

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 Original Weight of Solute

N Washing = (\frac{\ln (\frac{S Solute}{S N(Wash)})}{\ln (1 + β)})

Other formulas in Washing category

Go Area of Contact for Batch Leaching Operation

A = (- \frac{V Leaching}{K L \cdot t}) \cdot \ln ((\frac{C S - C}{C S}))

Go Concentration of Solute in Bulk Solution at Time t for Batch Leaching

C = C S \cdot (1 - \exp (\frac{- K L \cdot A \cdot t}{V Leaching}))

Go Time of Batch Leaching Operation

t = (- \frac{V Leaching}{A \cdot K L}) \cdot \ln ((\frac{C S - C}{C S}))

Go Volume of Leaching Solution in Batch Leaching

V Leaching = \frac{- K L \cdot A \cdot t}{\ln ((\frac{C S - C}{C S}))}

How to Evaluate Number of Stages based on Solvent Decanted?

Number of Stages based on Solvent Decanted evaluator uses Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+(Amount of Solvent Decanted/Amount of Solvent Remaining))) to evaluate the Number of Washings in Batch Leaching, The Number of Stages based on Solvent Decanted formula is defined as the number of washing in batch leaching operation to attain the Fractional Solute remaining in the solid based on the amount of solvent decanted. Number of Washings in Batch Leaching is denoted by N_Washing symbol.

How to evaluate Number of Stages based on Solvent Decanted using this online evaluator? To use this online evaluator for Number of Stages based on Solvent Decanted, enter Fraction of Solute Remaining in Solid (θ_N), Amount of Solvent Decanted (b) & Amount of Solvent Remaining (a) and hit the calculate button.

FAQs on Number of Stages based on Solvent Decanted

What is the formula to find Number of Stages based on Solvent Decanted?

The formula of Number of Stages based on Solvent Decanted is expressed as Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+(Amount of Solvent Decanted/Amount of Solvent Remaining))). Here is an example- 5.117134 = (ln(1/0.001)/ln(1+(30/10.5))).

How to calculate Number of Stages based on Solvent Decanted?

With Fraction of Solute Remaining in Solid (θ_N), Amount of Solvent Decanted (b) & Amount of Solvent Remaining (a) we can find Number of Stages based on Solvent Decanted using the formula - Number of Washings in Batch Leaching = (ln(1/Fraction of Solute Remaining in Solid)/ln(1+(Amount of Solvent Decanted/Amount of Solvent Remaining))). 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(Original Weight of Solute in Solid/Weight of Solute remaining in Solid after Washing)/ln(1+Solvent Decanted per Solvent Remaining in Solid))

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Number of Stages based on Solvent Decanted Formula

​GoNumber of Stages based on Original Weight of Solute Formula

Number of Stages based on Solvent Decanted Example

Number of Stages based on Solvent Decanted Solution

Number of Stages based on Solvent Decanted Formula Elements

Other Formulas to find Number of Washings in Batch Leaching

Other formulas in Washing category

How to Evaluate Number of Stages based on Solvent Decanted?

FAQs on Number of Stages based on Solvent Decanted

Variable Name

GoNumber of Stages based on Original Weight of Solute Formula