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Time of Batch Leaching Operation Formula

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

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

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

Time of Batch Leaching Operation Example

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Here is how the Time of Batch Leaching Operation equation looks like with Values.

Here is how the Time of Batch Leaching Operation equation looks like with Units.

Here is how the Time of Batch Leaching Operation equation looks like.

647.8416 = (- \frac{2.48}{0.154 \cdot 0.0147}) \cdot \ln ((\frac{56 - 25}{56}))

647.8416s = (- \frac{2.48m³}{0.154m² \cdot 0.0147mol/s*m²}) \cdot \ln ((\frac{56kg/m³ - 25kg/m³}{56kg/m³}))

647.8416 = (- \frac{2.48}{0.154 \cdot 0.0147}) \cdot \ln ((\frac{56 - 25}{56}))

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Time of Batch Leaching Operation Solution

Follow our step by step solution on how to calculate Time of Batch Leaching Operation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = (- \frac{2.48m³}{0.154m² \cdot 0.0147mol/s*m²}) \cdot \ln ((\frac{56kg/m³ - 25kg/m³}{56kg/m³}))

Next Step Prepare to Evaluate

∴

t = (- \frac{2.48}{0.154 \cdot 0.0147}) \cdot \ln ((\frac{56 - 25}{56}))

Next Step Evaluate

∴

t = 647.841649394826s

LAST Step Rounding Answer

∴

t = 647.8416s

Time of Batch Leaching Operation Formula Elements

Variables

Functions

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

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

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

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 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 Volume of Leaching Solution in Batch Leaching

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

Go Beta Value based on Ratio of Solvent

β = \frac{b}{a}

How to Evaluate Time of Batch Leaching Operation?

Time of Batch Leaching Operation evaluator uses 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)) to evaluate the Time of Batch Leaching, The Time of Batch Leaching Operation formula is defined as the Time of contact between the solid particles and the solvent in the batch leaching operation, also commonly considered as the time of agitation of the solution. Time of Batch Leaching is denoted by t symbol.

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

What is the formula to find Time of Batch Leaching Operation?

The formula of Time of Batch Leaching Operation is expressed as 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)). Here is an example- 647.8416 = (-2.48/(0.154*0.0147))*ln(((56-25)/56)).

How to calculate Time of Batch Leaching Operation?

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

Can the Time of Batch Leaching Operation be negative?

No, the Time of Batch Leaching Operation, measured in Time cannot be negative.

Which unit is used to measure Time of Batch Leaching Operation?

Time of Batch Leaching Operation is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time of Batch Leaching Operation can be measured.

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Time of Batch Leaching Operation Formula

Time of Batch Leaching Operation Example

Time of Batch Leaching Operation Solution

Time of Batch Leaching Operation Formula Elements

Other formulas in Operation category

How to Evaluate Time of Batch Leaching Operation?

FAQs on Time of Batch Leaching Operation

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