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

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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. Check FAQs

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

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

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

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Here is how the Concentration of Solute in Bulk Solution at Time t for Batch Leaching equation looks like with Values.

Here is how the Concentration of Solute in Bulk Solution at Time t for Batch Leaching equation looks like with Units.

Here is how the Concentration of Solute in Bulk Solution at Time t for Batch Leaching equation looks like.

23.6162 = 56 \cdot (1 - \exp (\frac{- 0.0147 \cdot 0.154 \cdot 600}{2.48}))

23.6162kg/m³ = 56kg/m³ \cdot (1 - \exp (\frac{- 0.0147mol/s*m² \cdot 0.154m² \cdot 600s}{2.48m³}))

23.6162 = 56 \cdot (1 - \exp (\frac{- 0.0147 \cdot 0.154 \cdot 600}{2.48}))

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

Follow our step by step solution on how to calculate Concentration of Solute in Bulk Solution at Time t for Batch Leaching?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = 56kg/m³ \cdot (1 - \exp (\frac{- 0.0147mol/s*m² \cdot 0.154m² \cdot 600s}{2.48m³}))

Next Step Prepare to Evaluate

∴

C = 56 \cdot (1 - \exp (\frac{- 0.0147 \cdot 0.154 \cdot 600}{2.48}))

Next Step Evaluate

∴

C = 23.616205032719kg/m³

LAST Step Rounding Answer

∴

C = 23.6162kg/m³

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

Variables

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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

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

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

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

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

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(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 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}))}

Go Beta Value based on Ratio of Solvent

β = \frac{b}{a}

How to Evaluate Concentration of Solute in Bulk Solution at Time t for Batch Leaching?

Concentration of Solute in Bulk Solution at Time t for Batch Leaching evaluator uses Concentration of Solute in Bulk Solution at Time t = Concentration of Saturated Solution with Solute*(1-exp((-Mass Transfer Coefficient for Batch Leaching*Area of Leaching*Time of Batch Leaching)/Volume of Leaching Solution)) to evaluate the Concentration of Solute in Bulk Solution at Time t, The Concentration of Solute in Bulk Solution at Time t for Batch Leaching formula is defined as the concentration of the solid in the bulk of leaching solution after time t has passed in batch leaching operation. Concentration of Solute in Bulk Solution at Time t is denoted by C symbol.

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

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

What is the formula to find Concentration of Solute in Bulk Solution at Time t for Batch Leaching?

The formula of Concentration of Solute in Bulk Solution at Time t for Batch Leaching is expressed as Concentration of Solute in Bulk Solution at Time t = Concentration of Saturated Solution with Solute*(1-exp((-Mass Transfer Coefficient for Batch Leaching*Area of Leaching*Time of Batch Leaching)/Volume of Leaching Solution)). Here is an example- 23.61621 = 56*(1-exp((-0.0147*0.154*600)/2.48)).

How to calculate Concentration of Solute in Bulk Solution at Time t for Batch Leaching?

With Concentration of Saturated Solution with Solute (C_S), Mass Transfer Coefficient for Batch Leaching (K_L), Area of Leaching (A), Time of Batch Leaching (t) & Volume of Leaching Solution (V_Leaching) we can find Concentration of Solute in Bulk Solution at Time t for Batch Leaching using the formula - Concentration of Solute in Bulk Solution at Time t = Concentration of Saturated Solution with Solute*(1-exp((-Mass Transfer Coefficient for Batch Leaching*Area of Leaching*Time of Batch Leaching)/Volume of Leaching Solution)). This formula also uses Exponential Growth Function function(s).

Can the Concentration of Solute in Bulk Solution at Time t for Batch Leaching be negative?

No, the Concentration of Solute in Bulk Solution at Time t for Batch Leaching, measured in Mass Concentration cannot be negative.

Which unit is used to measure Concentration of Solute in Bulk Solution at Time t for Batch Leaching?

Concentration of Solute in Bulk Solution at Time t for Batch Leaching is usually measured using the Kilogram per Cubic Meter[kg/m³] for Mass Concentration. Kilogram per Liter[kg/m³], Gram per Liter[kg/m³], Milligram per Liter[kg/m³] are the few other units in which Concentration of Solute in Bulk Solution at Time t for Batch Leaching can be measured.

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

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

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

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

Other formulas in Operation category

How to Evaluate Concentration of Solute in Bulk Solution at Time t for Batch Leaching?

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

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