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Minimum Operating Line Slope for Absorption Column Formula

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The Minimum Operating Line Slope of Absorption Column is the slope for operating line of absorption column plotted on solute free coordinates for minimum liquid flow rate. Check FAQs

LsGs min = \frac{Y N+1 - Y 1}{(\frac{Y N+1}{α}) - X 0}

LsGs_min - Minimum Operating Line Slope of Absorption Column?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 Operating Line Slope for Absorption Column Example

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Here is how the Minimum Operating Line Slope for Absorption Column equation looks like with Values.

Here is how the Minimum Operating Line Slope for Absorption Column equation looks like with Units.

Here is how the Minimum Operating Line Slope for Absorption Column equation looks like.

1.3373 = \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

1.3373 = \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

1.3373 = \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

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Minimum Operating Line Slope for Absorption Column Solution

Follow our step by step solution on how to calculate Minimum Operating Line Slope for Absorption Column?

FIRST Step Consider the formula

LsGs min = \frac{Y N+1 - Y 1}{(\frac{Y N+1}{α}) - X 0}

Next Step Substitute values of Variables

∴

LsGs min = \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

Next Step Prepare to Evaluate

∴

LsGs min = \frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}

Next Step Evaluate

∴

LsGs min = 1.33732407820162

LAST Step Rounding Answer

∴

LsGs min = 1.3373

Minimum Operating Line Slope for Absorption Column Formula Elements

Variables

Minimum Operating Line Slope of Absorption Column

The Minimum Operating Line Slope of Absorption Column is the slope for operating line of absorption column plotted on solute free coordinates for minimum liquid flow rate.

Symbol: LsGs_min

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Minimum Operating Line Slope of Absorption Column

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 Operating Line Slope for Absorption Column?

Minimum Operating Line Slope for Absorption Column evaluator uses Minimum Operating Line Slope of Absorption Column = (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 Operating Line Slope of Absorption Column, The Minimum Operating Line Slope for Absorption Column formula is defined as the slope for operating line of absorption column plotted on solute free basis mole fraction at minimum liquid requirement. Minimum Operating Line Slope of Absorption Column is denoted by LsGs_min symbol.

How to evaluate Minimum Operating Line Slope for Absorption Column using this online evaluator? To use this online evaluator for Minimum Operating Line Slope for Absorption Column, enter 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 Operating Line Slope for Absorption Column

What is the formula to find Minimum Operating Line Slope for Absorption Column?

The formula of Minimum Operating Line Slope for Absorption Column is expressed as Minimum Operating Line Slope of Absorption Column = (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- 1.33758 = (0.8-0.1)/((0.8/1.5)-0.0099).

How to calculate Minimum Operating Line Slope for Absorption Column?

With 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 Operating Line Slope for Absorption Column using the formula - Minimum Operating Line Slope of Absorption Column = (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).

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Minimum Operating Line Slope for Absorption Column Formula

Minimum Operating Line Slope for Absorption Column Example

Minimum Operating Line Slope for Absorption Column Solution

Minimum Operating Line Slope for Absorption Column Formula Elements

Other formulas in Gas Absorption category

How to Evaluate Minimum Operating Line Slope for Absorption Column?

FAQs on Minimum Operating Line Slope for Absorption Column

Variable Name