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Mass Transfer Coefficient for Batch Leaching Formula

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

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

K_L - Mass Transfer Coefficient for Batch Leaching?V_Leaching - Volume of Leaching Solution?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?

Mass Transfer Coefficient for Batch Leaching Example

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Here is how the Mass Transfer Coefficient for Batch Leaching equation looks like with Values.

Here is how the Mass Transfer Coefficient for Batch Leaching equation looks like with Units.

Here is how the Mass Transfer Coefficient for Batch Leaching equation looks like.

0.0159 = (- \frac{2.48}{0.154 \cdot 600}) \cdot \ln ((\frac{56 - 25}{56}))

0.0159mol/s*m² = (- \frac{2.48m³}{0.154m² \cdot 600s}) \cdot \ln ((\frac{56kg/m³ - 25kg/m³}{56kg/m³}))

0.0159 = (- \frac{2.48}{0.154 \cdot 600}) \cdot \ln ((\frac{56 - 25}{56}))

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Mass Transfer Coefficient for Batch Leaching Solution

Follow our step by step solution on how to calculate Mass Transfer Coefficient for Batch Leaching?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K L = (- \frac{2.48m³}{0.154m² \cdot 600s}) \cdot \ln ((\frac{56kg/m³ - 25kg/m³}{56kg/m³}))

Next Step Prepare to Evaluate

∴

K L = (- \frac{2.48}{0.154 \cdot 600}) \cdot \ln ((\frac{56 - 25}{56}))

Next Step Evaluate

∴

K L = 0.0158721204101732mol/s*m²

LAST Step Rounding Answer

∴

K L = 0.0159mol/s*m²

Mass Transfer Coefficient for Batch Leaching Formula Elements

Variables

Functions

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

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

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

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

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

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

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 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 Concentration of Saturated Solution in Contact with Solid in Batch Leaching

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

Go Volume of Leaching Solution in Batch Leaching

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

Go Time of Batch Leaching Operation

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

How to Evaluate Mass Transfer Coefficient for Batch Leaching?

Mass Transfer Coefficient for Batch Leaching evaluator uses Mass Transfer Coefficient for Batch Leaching = (-Volume of Leaching Solution/(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 Mass Transfer Coefficient for Batch Leaching, The Mass Transfer Coefficient for Batch Leaching formula is defined as the Mass Transfer coefficient for the driving force in a Batch Leaching Operation. This value can be used for scale-up or design of continuous systems. Mass Transfer Coefficient for Batch Leaching is denoted by K_L symbol.

How to evaluate Mass Transfer Coefficient for Batch Leaching using this online evaluator? To use this online evaluator for Mass Transfer Coefficient for Batch Leaching, enter Volume of Leaching Solution (V_Leaching), 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 Mass Transfer Coefficient for Batch Leaching

What is the formula to find Mass Transfer Coefficient for Batch Leaching?

The formula of Mass Transfer Coefficient for Batch Leaching is expressed as Mass Transfer Coefficient for Batch Leaching = (-Volume of Leaching Solution/(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- 0.015872 = (-2.48/(0.154*600))*ln(((56-25)/56)).

How to calculate Mass Transfer Coefficient for Batch Leaching?

With Volume of Leaching Solution (V_Leaching), 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 Mass Transfer Coefficient for Batch Leaching using the formula - Mass Transfer Coefficient for Batch Leaching = (-Volume of Leaching Solution/(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 Function function(s).

Can the Mass Transfer Coefficient for Batch Leaching be negative?

No, the Mass Transfer Coefficient for Batch Leaching, measured in Molar Flux of Diffusing Component cannot be negative.

Which unit is used to measure Mass Transfer Coefficient for Batch Leaching?

Mass Transfer Coefficient for Batch Leaching is usually measured using the Mole per Second Square Meter[mol/s*m²] for Molar Flux of Diffusing Component. Kilogram Mole per Second Square Meter[mol/s*m²], Millimole per Microsecond Square Meter[mol/s*m²] are the few other units in which Mass Transfer Coefficient for Batch Leaching can be measured.

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Mass Transfer Coefficient for Batch Leaching Formula

Mass Transfer Coefficient for Batch Leaching Example

Mass Transfer Coefficient for Batch Leaching Solution

Mass Transfer Coefficient for Batch Leaching Formula Elements

Other formulas in Operation category

How to Evaluate Mass Transfer Coefficient for Batch Leaching?

FAQs on Mass Transfer Coefficient for Batch Leaching

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