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Minimum Liquid Rate for Absorption Column Formula

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The Minimum Liquid Flowrate on Solute Free Basis is defined as the Minimum Inlet Liquid Flowrate on solute free basis to the absorption column for a specified separation and Gas Flow Rate. Check FAQs

L smin = G s \cdot \frac{Y N+1 - Y 1}{(\frac{Y N+1}{α}) - X 0}

L_smin - Minimum Liquid Flowrate on Solute Free Basis?G_s - Gas Flowrate on Solute Free Basis?Y_N+1 - Solute Free Mole Fraction of Gas in Inlet?Y₁ - Solute Free Mole Fraction of Gas in Outlet?α - Equilibrium Constant for Mass Transfer?X₀ - Solute Free Mole Fraction of Liquid in Inlet?

Minimum Liquid Rate for Absorption Column Example

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Here is how the Minimum Liquid Rate for Absorption Column equation looks like with Values.

Here is how the Minimum Liquid Rate for Absorption Column equation looks like with Units.

Here is how the Minimum Liquid Rate for Absorption Column equation looks like.

12.0359 = 9 \cdot \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

12.0359mol/s = 9mol/s \cdot \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

12.0359 = 9 \cdot \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

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Minimum Liquid Rate for Absorption Column Solution

Follow our step by step solution on how to calculate Minimum Liquid Rate for Absorption Column?

FIRST Step Consider the formula

L smin = G s \cdot \frac{Y N+1 - Y 1}{(\frac{Y N+1}{α}) - X 0}

Next Step Substitute values of Variables

∴

L smin = 9mol/s \cdot \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

Next Step Prepare to Evaluate

∴

L smin = 9 \cdot \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

Next Step Evaluate

∴

L smin = 12.0359167038146mol/s

LAST Step Rounding Answer

∴

L smin = 12.0359mol/s

Minimum Liquid Rate for Absorption Column Formula Elements

Variables

Minimum Liquid Flowrate on Solute Free Basis

The Minimum Liquid Flowrate on Solute Free Basis is defined as the Minimum Inlet Liquid Flowrate on solute free basis to the absorption column for a specified separation and Gas Flow Rate.

Symbol: L_smin

Measurement: Molar Flow RateUnit: mol/s

Note: Value should be greater than 0.

Formulas to find Minimum Liquid Flowrate on Solute Free Basis

Gas Flowrate on Solute Free Basis

The Gas Flowrate on Solute Free Basis is defined as the Inlet Gas Flowrate on solute free basis to the absorption column.

Symbol: G_s

Measurement: Molar Flow RateUnit: mol/s

Note: Value should be greater than 0.

Formulas to find Gas Flowrate on Solute Free Basis

Solute Free Mole Fraction of Gas in Inlet

The Solute Free Mole Fraction of Gas in Inlet is the mole fraction of the Solute in the Gas stream entering the column on solute free basis.

Symbol: Y_N+1

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Solute Free Mole Fraction of Gas in Inlet

Solute Free Mole Fraction of Gas in Outlet

The Solute Free Mole Fraction of Gas in Outlet is the mole fraction of the solute in the exit gas stream of the column on solute free basis.

Symbol: Y₁

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Solute Free Mole Fraction of Gas in Outlet

Equilibrium Constant for Mass Transfer

The Equilibrium constant for Mass Transfer is the proportionality constant between gas phase mole fraction and liquid phase mole fraction and could be given as the ratio between the two.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Equilibrium Constant for Mass Transfer

Solute Free Mole Fraction of Liquid in Inlet

The Solute Free Mole Fraction of Liquid in Inlet is the mole fraction of the solute in the solvent (liquid) in inlet of the column on solute free basis.

Symbol: X₀

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Solute Free Mole Fraction of Liquid in Inlet

Other formulas in Gas Absorption category

Go Number of Stripping Stages by Kremser Equation

N = \frac{\log 10 ((\frac{X 0(Stripping) - (\frac{Y N+1(Stripping)}{α})}{X N(Stripping) - (\frac{Y N+1(Stripping)}{α})}) \cdot (1 - (\frac{1}{S})) + (\frac{1}{S}))}{\log 10 (S)}

Go Stripping Factor

S = \frac{α \cdot G s(Stripping)}{L s(Stripping)}

Go Stripping Factor given Absorption Factor

S = \frac{1}{A}

Go Absorption Factor

A = \frac{L s}{α \cdot G s}

How to Evaluate Minimum Liquid Rate for Absorption Column?

Minimum Liquid Rate for Absorption Column evaluator uses Minimum Liquid Flowrate on Solute Free Basis = Gas Flowrate on Solute Free Basis*(Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/((Solute Free Mole Fraction of Gas in Inlet/Equilibrium Constant for Mass Transfer)-Solute Free Mole Fraction of Liquid in Inlet) to evaluate the Minimum Liquid Flowrate on Solute Free Basis, The Minimum Liquid Rate for Absorption Column formula is defined as the calculator for minimum liquid rate required for a defined target of separation to be achieved with fixed gas flow rate. Minimum Liquid Flowrate on Solute Free Basis is denoted by L_smin symbol.

How to evaluate Minimum Liquid Rate for Absorption Column using this online evaluator? To use this online evaluator for Minimum Liquid Rate for Absorption Column, enter Gas Flowrate on Solute Free Basis (G_s), Solute Free Mole Fraction of Gas in Inlet (Y_N+1), Solute Free Mole Fraction of Gas in Outlet (Y₁), Equilibrium Constant for Mass Transfer (α) & Solute Free Mole Fraction of Liquid in Inlet (X₀) and hit the calculate button.

FAQs on Minimum Liquid Rate for Absorption Column

What is the formula to find Minimum Liquid Rate for Absorption Column?

The formula of Minimum Liquid Rate for Absorption Column is expressed as Minimum Liquid Flowrate on Solute Free Basis = Gas Flowrate on Solute Free Basis*(Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/((Solute Free Mole Fraction of Gas in Inlet/Equilibrium Constant for Mass Transfer)-Solute Free Mole Fraction of Liquid in Inlet). Here is an example- 12.03822 = 9*(0.8-0.1)/((0.8/1.5)-0.0099).

How to calculate Minimum Liquid Rate for Absorption Column?

With Gas Flowrate on Solute Free Basis (G_s), Solute Free Mole Fraction of Gas in Inlet (Y_N+1), Solute Free Mole Fraction of Gas in Outlet (Y₁), Equilibrium Constant for Mass Transfer (α) & Solute Free Mole Fraction of Liquid in Inlet (X₀) we can find Minimum Liquid Rate for Absorption Column using the formula - Minimum Liquid Flowrate on Solute Free Basis = Gas Flowrate on Solute Free Basis*(Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/((Solute Free Mole Fraction of Gas in Inlet/Equilibrium Constant for Mass Transfer)-Solute Free Mole Fraction of Liquid in Inlet).

Can the Minimum Liquid Rate for Absorption Column be negative?

No, the Minimum Liquid Rate for Absorption Column, measured in Molar Flow Rate cannot be negative.

Which unit is used to measure Minimum Liquid Rate for Absorption Column?

Minimum Liquid Rate for Absorption Column is usually measured using the Mole per Second[mol/s] for Molar Flow Rate. Kilomole per Second[mol/s], Dekamole per Second[mol/s], Mole per Minute[mol/s] are the few other units in which Minimum Liquid Rate for Absorption Column can be measured.

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Minimum Liquid Rate for Absorption Column Formula

Minimum Liquid Rate for Absorption Column Example

Minimum Liquid Rate for Absorption Column Solution

Minimum Liquid Rate for Absorption Column Formula Elements

Other formulas in Gas Absorption category

How to Evaluate Minimum Liquid Rate for Absorption Column?

FAQs on Minimum Liquid Rate for Absorption Column

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