FormulaDen.com

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

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction Formula

Fx Copy

LaTeX Copy

The N Stages Mass Fraction of Solute in Raffinate Phase is the mass fraction of the solute in the raffinate phase on solute free basis after N Number of LLE Stages. Check FAQs

X N = ({(\frac{F'}{F' + (E' \cdot K Solute)})}^{N}) \cdot z C

X_N - N Stages Mass Fraction of Solute in Raffinate?F' - Solute Free Feed Flowrate in Extraction?E' - Solute Free Extract Phase Flowrate in LLE?K_Solute - Distribution Coefficient of Solute?N - Number of Equilibrium Extraction Stages?z_C - Mass Fraction of Solute in the Feed?

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction Example

With values

With units

Only example

Here is how the Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction equation looks like with Values.

Here is how the Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction equation looks like with Units.

Here is how the Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction equation looks like.

0.0334 = ({(\frac{110}{110 + (62 \cdot 2.6)})}^{3}) \cdot 0.5

0.0334 = ({(\frac{110kg/s}{110kg/s + (62kg/s \cdot 2.6)})}^{3}) \cdot 0.5

0.0334 = ({(\frac{110}{110 + (62 \cdot 2.6)})}^{3}) \cdot 0.5

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 Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction Solution

Follow our step by step solution on how to calculate Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction?

FIRST Step Consider the formula

X N = ({(\frac{F'}{F' + (E' \cdot K Solute)})}^{N}) \cdot z C

Next Step Substitute values of Variables

∴

X N = ({(\frac{110kg/s}{110kg/s + (62kg/s \cdot 2.6)})}^{3}) \cdot 0.5

Next Step Prepare to Evaluate

∴

X N = ({(\frac{110}{110 + (62 \cdot 2.6)})}^{3}) \cdot 0.5

Next Step Evaluate

∴

X N = 0.0333640685037476

LAST Step Rounding Answer

∴

X N = 0.0334

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction Formula Elements

Variables

N Stages Mass Fraction of Solute in Raffinate

The N Stages Mass Fraction of Solute in Raffinate Phase is the mass fraction of the solute in the raffinate phase on solute free basis after N Number of LLE Stages.

Symbol: X_N

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find N Stages Mass Fraction of Solute in Raffinate

Solute Free Feed Flowrate in Extraction

The Solute Free Feed Flowrate in Extraction is the flowrate of the carrier liquid to the liquid-liquid extraction operation for separation.

Symbol: F'

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Solute Free Feed Flowrate in Extraction

Solute Free Extract Phase Flowrate in LLE

The Solute Free Extract Phase Flowrate in LLE is the flowrate of the extracting solvent after separation in liquid-liquid extraction operation.

Symbol: E'

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Solute Free Extract Phase Flowrate in LLE

Distribution Coefficient of Solute

The distribution coefficient of solute is defined as the concentration of solute in the extract phase divided by the concentration of solute in the raffinate phase.

Symbol: K_Solute

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Distribution Coefficient of Solute

Number of Equilibrium Extraction Stages

The Number of Equilibrium Extraction Stages is the number of Ideal Equilibrium stages required for Liquid-Liquid Extraction.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Equilibrium Extraction Stages

Mass Fraction of Solute in the Feed

The Mass Fraction of Solute in the Feed is the mass fraction of the solute in the Feed to the Liquid-Liquid Extraction operation.

Symbol: z_C

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Mass Fraction of Solute in the Feed

Other formulas in Equilibrium Stage Calculations for Immiscible (Pure) Solvent and Carrier Liquid category

Go Distribution Coefficient of Carrier Liquid from Activity Coefficients

K CarrierLiq = \frac{Υa R}{Υa E}

Go Distribution Coefficient of Carrier Liquid from Mass Fraction

K CarrierLiq = \frac{y A}{x A}

Go Distribution Coefficient of Solute from Activity Coefficient

K Solute = \frac{Υc R}{Υc E}

Go Distribution Coefficient of Solute from Mass Fractions

K Solute = \frac{y C}{x C}

How to Evaluate Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction?

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction evaluator uses N Stages Mass Fraction of Solute in Raffinate = ((Solute Free Feed Flowrate in Extraction/(Solute Free Feed Flowrate in Extraction+(Solute Free Extract Phase Flowrate in LLE*Distribution Coefficient of Solute)))^Number of Equilibrium Extraction Stages)*Mass Fraction of Solute in the Feed to evaluate the N Stages Mass Fraction of Solute in Raffinate, The Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction formula is defined as mass fraction of solute in raffinate phase coming out of the Nth Ideal Stage of extraction process as a function of feed solute mole fraction. N Stages Mass Fraction of Solute in Raffinate is denoted by X_N symbol.

How to evaluate Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction using this online evaluator? To use this online evaluator for Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction, enter Solute Free Feed Flowrate in Extraction (F'), Solute Free Extract Phase Flowrate in LLE (E'), Distribution Coefficient of Solute (K_Solute), Number of Equilibrium Extraction Stages (N) & Mass Fraction of Solute in the Feed (z_C) and hit the calculate button.

FAQs on Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction

What is the formula to find Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction?

The formula of Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction is expressed as N Stages Mass Fraction of Solute in Raffinate = ((Solute Free Feed Flowrate in Extraction/(Solute Free Feed Flowrate in Extraction+(Solute Free Extract Phase Flowrate in LLE*Distribution Coefficient of Solute)))^Number of Equilibrium Extraction Stages)*Mass Fraction of Solute in the Feed. Here is an example- 0.033364 = ((110/(110+(62*2.6)))^3)*0.5.

How to calculate Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction?

With Solute Free Feed Flowrate in Extraction (F'), Solute Free Extract Phase Flowrate in LLE (E'), Distribution Coefficient of Solute (K_Solute), Number of Equilibrium Extraction Stages (N) & Mass Fraction of Solute in the Feed (z_C) we can find Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction using the formula - N Stages Mass Fraction of Solute in Raffinate = ((Solute Free Feed Flowrate in Extraction/(Solute Free Feed Flowrate in Extraction+(Solute Free Extract Phase Flowrate in LLE*Distribution Coefficient of Solute)))^Number of Equilibrium Extraction Stages)*Mass Fraction of Solute in the Feed.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction Formula

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction Example

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction Solution

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction Formula Elements

Other formulas in Equilibrium Stage Calculations for Immiscible (Pure) Solvent and Carrier Liquid category

How to Evaluate Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction?

FAQs on Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction

Variable Name