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Operating Line Slope for Absorption Column Formula

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

LG ratio = \frac{Y N+1 - Y 1}{X N - X 0}

LG_ratio - 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?X_N - Solute Free Mole Fraction of Liquid in Outlet?X₀ - Solute Free Mole Fraction of Liquid in Inlet?

Operating Line Slope for Absorption Column Example

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

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

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

2.413 = \frac{0.8 - 0.1}{0.3 - 0.0099}

2.413 = \frac{0.8 - 0.1}{0.3 - 0.0099}

2.413 = \frac{0.8 - 0.1}{0.3 - 0.0099}

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Operating Line Slope for Absorption Column Solution

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

FIRST Step Consider the formula

LG ratio = \frac{Y N+1 - Y 1}{X N - X 0}

Next Step Substitute values of Variables

∴

LG ratio = \frac{0.8 - 0.1}{0.3 - 0.0099}

Next Step Prepare to Evaluate

∴

LG ratio = \frac{0.8 - 0.1}{0.3 - 0.0099}

Next Step Evaluate

∴

LG ratio = 2.41296104791451

LAST Step Rounding Answer

∴

LG ratio = 2.413

Operating Line Slope for Absorption Column Formula Elements

Variables

Operating Line Slope of Absorption Column

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

Symbol: LG_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find 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

Solute Free Mole Fraction of Liquid in Outlet

The Solute Free Mole Fraction of Liquid in Outlet is the Mole fraction of the solute in the liquid at the column exit on solute free basis.

Symbol: X_N

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Solute Free Mole Fraction of Liquid in Outlet

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 Operating Line Slope for Absorption Column?

Operating Line Slope for Absorption Column evaluator uses 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 Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet) to evaluate the Operating Line Slope of Absorption Column, The 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. Operating Line Slope of Absorption Column is denoted by LG_ratio symbol.

How to evaluate Operating Line Slope for Absorption Column using this online evaluator? To use this online evaluator for 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), Solute Free Mole Fraction of Liquid in Outlet (X_N) & Solute Free Mole Fraction of Liquid in Inlet (X₀) and hit the calculate button.

FAQs on Operating Line Slope for Absorption Column

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

The formula of Operating Line Slope for Absorption Column is expressed as 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 Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet). Here is an example- 2.413793 = (0.8-0.1)/(0.3-0.0099).

How to calculate 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), Solute Free Mole Fraction of Liquid in Outlet (X_N) & Solute Free Mole Fraction of Liquid in Inlet (X₀) we can find Operating Line Slope for Absorption Column using the formula - 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 Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet).

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Operating Line Slope for Absorption Column Formula

Operating Line Slope for Absorption Column Example

Operating Line Slope for Absorption Column Solution

Operating Line Slope for Absorption Column Formula Elements

Other formulas in Gas Absorption category

How to Evaluate Operating Line Slope for Absorption Column?

FAQs on Operating Line Slope for Absorption Column

Variable Name