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Volume of Leaching Solution in Batch Leaching Formula

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The Volume of Leaching Solution is the volume of complete solution i.e. solute plus solvent for Leaching. Check FAQs

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

V_Leaching - Volume of Leaching Solution?K_L - Mass Transfer Coefficient for Batch Leaching?A - Area of Leaching?t - Time of Batch Leaching?C_S - Concentration of Saturated Solution with Solute?C - Concentration of Solute in Bulk Solution at Time t?

Volume of Leaching Solution in Batch Leaching Example

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Here is how the Volume of Leaching Solution in Batch Leaching equation looks like with Values.

Here is how the Volume of Leaching Solution in Batch Leaching equation looks like with Units.

Here is how the Volume of Leaching Solution in Batch Leaching equation looks like.

2.2969 = \frac{- 0.0147 \cdot 0.154 \cdot 600}{\ln ((\frac{56 - 25}{56}))}

2.2969m³ = \frac{- 0.0147mol/s*m² \cdot 0.154m² \cdot 600s}{\ln ((\frac{56kg/m³ - 25kg/m³}{56kg/m³}))}

2.2969 = \frac{- 0.0147 \cdot 0.154 \cdot 600}{\ln ((\frac{56 - 25}{56}))}

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Mass Transfer Operations » fx Volume of Leaching Solution in Batch Leaching

Volume of Leaching Solution in Batch Leaching Solution

Follow our step by step solution on how to calculate Volume of Leaching Solution in Batch Leaching?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V Leaching = \frac{- 0.0147mol/s*m² \cdot 0.154m² \cdot 600s}{\ln ((\frac{56kg/m³ - 25kg/m³}{56kg/m³}))}

Next Step Prepare to Evaluate

∴

V Leaching = \frac{- 0.0147 \cdot 0.154 \cdot 600}{\ln ((\frac{56 - 25}{56}))}

Next Step Evaluate

∴

V Leaching = 2.29685757528865m³

LAST Step Rounding Answer

∴

V Leaching = 2.2969m³

Volume of Leaching Solution in Batch Leaching Formula Elements

Variables

Functions

Volume of Leaching Solution

The Volume of Leaching Solution is the volume of complete solution i.e. solute plus solvent for Leaching.

Symbol: V_Leaching

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume of Leaching Solution

Open Variable

Mass Transfer Coefficient for Batch Leaching

The Mass Transfer Coefficient for Batch Leaching is the coefficient that accounts for driving force for mass transfer in the liquid phase.

Symbol: K_L

Measurement: Molar Flux of Diffusing ComponentUnit: mol/s*m²

Note: Value should be greater than 0.

Formulas to find Mass Transfer Coefficient for Batch Leaching

Open Variable

Area of Leaching

The Area of Leaching is the are of contact available for leaching mass transfer, i.e. the surface area of the solids in contact with the solvent liquid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Leaching

Open Variable

Time of Batch Leaching

The Time of Batch Leaching is the time the solid and the solvent is kept into contact (mixed together) in Batch Leaching Operation.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time of Batch Leaching

Open Variable

Concentration of Saturated Solution with Solute

The Concentration of Saturated Solution with Solute is the concentration of the saturated solution in contact with the solute particles for batch leaching process.

Symbol: C_S

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Concentration of Saturated Solution with Solute

Open Variable

Concentration of Solute in Bulk Solution at Time t

The Concentration of Solute in Bulk Solution at Time t is the solute concentration in bulk of solution at time t of the batch leaching process.

Symbol: C

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Concentration of Solute in Bulk Solution at Time t

Open Variable

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 in Operation 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 Beta Value based on Ratio of Solvent

β = \frac{b}{a}

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How to Evaluate Volume of Leaching Solution in Batch Leaching?

Volume of Leaching Solution in Batch Leaching evaluator uses 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)) to evaluate the Volume of Leaching Solution, The Volume of Leaching Solution in Batch Leaching formula is defined as the volume of the leaching solution (solids plus solvent) in the batch leaching process. Volume of Leaching Solution is denoted by V_Leaching symbol.

How to evaluate Volume of Leaching Solution in Batch Leaching using this online evaluator? To use this online evaluator for Volume of Leaching Solution in Batch Leaching, enter Mass Transfer Coefficient for Batch Leaching (K_L), Area of Leaching (A), Time of Batch Leaching (t), Concentration of Saturated Solution with Solute (C_S) & Concentration of Solute in Bulk Solution at Time t (C) and hit the calculate button.

FAQs on Volume of Leaching Solution in Batch Leaching

What is the formula to find Volume of Leaching Solution in Batch Leaching?

The formula of Volume of Leaching Solution in Batch Leaching is expressed as 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)). Here is an example- 2.296858 = (-0.0147*0.154*600)/ln(((56-25)/56)).

How to calculate Volume of Leaching Solution in Batch Leaching?

With Mass Transfer Coefficient for Batch Leaching (K_L), Area of Leaching (A), Time of Batch Leaching (t), Concentration of Saturated Solution with Solute (C_S) & Concentration of Solute in Bulk Solution at Time t (C) we can find Volume of Leaching Solution in Batch Leaching using the formula - 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)). This formula also uses Natural Logarithm (ln) function(s).

Can the Volume of Leaching Solution in Batch Leaching be negative?

Yes, the Volume of Leaching Solution in Batch Leaching, measured in Volume can be negative.

Which unit is used to measure Volume of Leaching Solution in Batch Leaching?

Volume of Leaching Solution in Batch Leaching is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Leaching Solution in Batch Leaching can be measured.

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