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Raffinate Phase Solute Concentration for Single Ideal Stage Extraction Formula

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

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

X₁ - Single Stage 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?z_C - Mass Fraction of Solute in the Feed?

Raffinate Phase Solute Concentration for Single Ideal Stage Extraction Example

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

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

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

0.2028 = (\frac{110}{110 + (62 \cdot 2.6)}) \cdot 0.5

0.2028 = (\frac{110kg/s}{110kg/s + (62kg/s \cdot 2.6)}) \cdot 0.5

0.2028 = (\frac{110}{110 + (62 \cdot 2.6)}) \cdot 0.5

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Raffinate Phase Solute Concentration for Single Ideal Stage Extraction Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

X 1 = (\frac{110kg/s}{110kg/s + (62kg/s \cdot 2.6)}) \cdot 0.5

Next Step Prepare to Evaluate

∴

X 1 = (\frac{110}{110 + (62 \cdot 2.6)}) \cdot 0.5

Next Step Evaluate

∴

X 1 = 0.202802359882006

LAST Step Rounding Answer

∴

X 1 = 0.2028

Raffinate Phase Solute Concentration for Single Ideal Stage Extraction Formula Elements

Variables

Single Stage Mass Fraction of Solute in Raffinate

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

Symbol: X₁

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Single Stage 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

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 Single Ideal Stage Extraction?

Raffinate Phase Solute Concentration for Single Ideal Stage Extraction evaluator uses 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)))*Mass Fraction of Solute in the Feed to evaluate the Single Stage Mass Fraction of Solute in Raffinate, The Raffinate Phase Solute Concentration for Single Ideal Stage Extraction formula is defined as the mass fraction of solute in raffinate phase coming out of the single stage equilibrium extraction process as a function of the solute feed mass fraction. Single Stage Mass Fraction of Solute in Raffinate is denoted by X₁ symbol.

How to evaluate Raffinate Phase Solute Concentration for Single Ideal Stage Extraction using this online evaluator? To use this online evaluator for Raffinate Phase Solute Concentration for Single 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) & Mass Fraction of Solute in the Feed (z_C) and hit the calculate button.

FAQs on Raffinate Phase Solute Concentration for Single Ideal Stage Extraction

What is the formula to find Raffinate Phase Solute Concentration for Single Ideal Stage Extraction?

The formula of Raffinate Phase Solute Concentration for Single Ideal Stage Extraction is expressed as 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)))*Mass Fraction of Solute in the Feed. Here is an example- 0.202802 = (110/(110+(62*2.6)))*0.5.

How to calculate Raffinate Phase Solute Concentration for Single 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) & Mass Fraction of Solute in the Feed (z_C) we can find Raffinate Phase Solute Concentration for Single Ideal Stage Extraction using the formula - 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)))*Mass Fraction of Solute in the Feed.

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Raffinate Phase Solute Concentration for Single Ideal Stage Extraction Formula

Raffinate Phase Solute Concentration for Single Ideal Stage Extraction Example

Raffinate Phase Solute Concentration for Single Ideal Stage Extraction Solution

Raffinate Phase Solute Concentration for Single 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 Single Ideal Stage Extraction?

FAQs on Raffinate Phase Solute Concentration for Single Ideal Stage Extraction

Variable Name