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Feed Solute Concentration for N-number of Ideal Stage Extraction Formula

GoFeed Solute Concentration for Single Ideal Stage Extraction Formula

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

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

z_C - Mass Fraction of Solute in the Feed?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?

Feed Solute Concentration for N-number of Ideal Stage Extraction Example

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Here is how the Feed Solute Concentration for N-number of Ideal Stage Extraction equation looks like with Values.

Here is how the Feed Solute Concentration for N-number of Ideal Stage Extraction equation looks like with Units.

Here is how the Feed Solute Concentration for N-number of Ideal Stage Extraction equation looks like.

0.5005 = \frac{0.0334}{{(\frac{110}{110 + (62 \cdot 2.6)})}^{3}}

0.5005 = \frac{0.0334}{{(\frac{110kg/s}{110kg/s + (62kg/s \cdot 2.6)})}^{3}}

0.5005 = \frac{0.0334}{{(\frac{110}{110 + (62 \cdot 2.6)})}^{3}}

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Mass Transfer Operations » fx Feed Solute Concentration for N-number of Ideal Stage Extraction

Feed Solute Concentration for N-number of Ideal Stage Extraction Solution

Follow our step by step solution on how to calculate Feed Solute Concentration for N-number of Ideal Stage Extraction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

z C = 0.500538475939294

LAST Step Rounding Answer

∴

z C = 0.5005

Feed Solute Concentration for N-number of Ideal Stage Extraction Formula Elements

Variables

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

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

Other Formulas to find Mass Fraction of Solute in the Feed

Go Feed Solute Concentration for Single Ideal Stage Extraction

z C = \frac{X 1}{\frac{F'}{F' + (E' \cdot K Solute)}}

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 Feed Solute Concentration for N-number of Ideal Stage Extraction?

Feed Solute Concentration for N-number of Ideal Stage Extraction evaluator uses Mass Fraction of Solute in the Feed = 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) to evaluate the Mass Fraction of Solute in the Feed, The Feed Solute Concentration for N-number of Ideal Stage Extraction formula is defined as the mass fraction of solute in feed as the function of the raffinate mass fraction of solute coming out of the Nth number of Equilibrium Stage Extraction Process. Mass Fraction of Solute in the Feed is denoted by z_C symbol.

How to evaluate Feed Solute Concentration for N-number of Ideal Stage Extraction using this online evaluator? To use this online evaluator for Feed Solute Concentration for N-number of Ideal Stage Extraction, enter N Stages Mass Fraction of Solute in Raffinate (X_N), 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) and hit the calculate button.

FAQs on Feed Solute Concentration for N-number of Ideal Stage Extraction

What is the formula to find Feed Solute Concentration for N-number of Ideal Stage Extraction?

The formula of Feed Solute Concentration for N-number of Ideal Stage Extraction is expressed as Mass Fraction of Solute in the Feed = 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). Here is an example- 0.500538 = 0.0334/((110/(110+(62*2.6)))^3).

How to calculate Feed Solute Concentration for N-number of Ideal Stage Extraction?

With N Stages Mass Fraction of Solute in Raffinate (X_N), 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) we can find Feed Solute Concentration for N-number of Ideal Stage Extraction using the formula - Mass Fraction of Solute in the Feed = 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).

What are the other ways to Calculate Mass Fraction of Solute in the Feed?

Here are the different ways to Calculate Mass Fraction of Solute in the Feed-

Mass Fraction of Solute in the Feed=Single Stage 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)))

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Feed Solute Concentration for N-number of Ideal Stage Extraction Formula

​GoFeed Solute Concentration for Single Ideal Stage Extraction Formula

Feed Solute Concentration for N-number of Ideal Stage Extraction Example

Feed Solute Concentration for N-number of Ideal Stage Extraction Solution

Feed Solute Concentration for N-number of Ideal Stage Extraction Formula Elements

Other Formulas to find Mass Fraction of Solute in the Feed

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

How to Evaluate Feed Solute Concentration for N-number of Ideal Stage Extraction?

FAQs on Feed Solute Concentration for N-number of Ideal Stage Extraction

Variable Name

GoFeed Solute Concentration for Single Ideal Stage Extraction Formula