FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Area of Contact for Batch Leaching Operation Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Area of Contact for Batch Leaching Operation Example

With values

With units

Only example

Here is how the Area of Contact for Batch Leaching Operation equation looks like with Values.

Here is how the Area of Contact for Batch Leaching Operation equation looks like with Units.

Here is how the Area of Contact for Batch Leaching Operation equation looks like.

0.1663 = (- \frac{2.48}{0.0147 \cdot 600}) \cdot \ln ((\frac{56 - 25}{56}))

0.1663m² = (- \frac{2.48m³}{0.0147mol/s*m² \cdot 600s}) \cdot \ln ((\frac{56kg/m³ - 25kg/m³}{56kg/m³}))

0.1663 = (- \frac{2.48}{0.0147 \cdot 600}) \cdot \ln ((\frac{56 - 25}{56}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Mass Transfer Operations » fx Area of Contact for Batch Leaching Operation

Area of Contact for Batch Leaching Operation Solution

Follow our step by step solution on how to calculate Area of Contact for Batch Leaching Operation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = (- \frac{2.48m³}{0.0147mol/s*m² \cdot 600s}) \cdot \ln ((\frac{56kg/m³ - 25kg/m³}{56kg/m³}))

Next Step Prepare to Evaluate

∴

A = (- \frac{2.48}{0.0147 \cdot 600}) \cdot \ln ((\frac{56 - 25}{56}))

Next Step Evaluate

∴

A = 0.166279356678005m²

LAST Step Rounding Answer

∴

A = 0.1663m²

Area of Contact for Batch Leaching Operation Formula Elements

Variables

Functions

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

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

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

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 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 Area of Contact for Batch Leaching Operation?

Area of Contact for Batch Leaching Operation evaluator uses Area of Leaching = (-Volume of Leaching Solution/(Mass Transfer Coefficient for Batch 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 Area of Leaching, The Area of Contact for Batch Leaching Operation formula is defined as the surface area of the solid particles in contact i.e. area available for mass transfer. Area of Leaching is denoted by A symbol.

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

What is the formula to find Area of Contact for Batch Leaching Operation?

The formula of Area of Contact for Batch Leaching Operation is expressed as Area of Leaching = (-Volume of Leaching Solution/(Mass Transfer Coefficient for Batch 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- 0.166279 = (-2.48/(0.0147*600))*ln(((56-25)/56)).

How to calculate Area of Contact for Batch Leaching Operation?

With Volume of Leaching Solution (V_Leaching), Mass Transfer Coefficient for Batch Leaching (K_L), 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 Area of Contact for Batch Leaching Operation using the formula - Area of Leaching = (-Volume of Leaching Solution/(Mass Transfer Coefficient for Batch 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 Area of Contact for Batch Leaching Operation be negative?

No, the Area of Contact for Batch Leaching Operation, measured in Area cannot be negative.

Which unit is used to measure Area of Contact for Batch Leaching Operation?

Area of Contact for Batch Leaching Operation is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Contact for Batch Leaching Operation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Area of Contact for Batch Leaching Operation Formula

Area of Contact for Batch Leaching Operation Example

Area of Contact for Batch Leaching Operation Solution

Area of Contact for Batch Leaching Operation Formula Elements

Other formulas in Operation category

How to Evaluate Area of Contact for Batch Leaching Operation?

FAQs on Area of Contact for Batch Leaching Operation

Variable Name