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Maximum Gas Rate for Absorption Column Formula

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The Maximum Gas Flowrate on Solute Free Basis is defined as the Maximum Inlet Gas Flowrate on solute free basis that can be treated to the absorption column. Check FAQs

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

G_smax - Maximum Gas Flowrate on Solute Free Basis?L_s - Liquid 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?

Maximum Gas Rate for Absorption Column Example

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Here is how the Maximum Gas Rate for Absorption Column equation looks like with Values.

Here is how the Maximum Gas Rate for Absorption Column equation looks like with Units.

Here is how the Maximum Gas Rate for Absorption Column equation looks like.

17.1985 = \frac{23}{\frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}}

17.1985mol/s = \frac{23mol/s}{\frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}}

17.1985 = \frac{23}{\frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}}

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Maximum Gas Rate for Absorption Column Solution

Follow our step by step solution on how to calculate Maximum Gas Rate for Absorption Column?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G smax = \frac{23mol/s}{\frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}}

Next Step Prepare to Evaluate

∴

G smax = \frac{23}{\frac{0.8 - 0.1}{(\frac{0.8}{1.5}) - 0.0099}}

Next Step Evaluate

∴

G smax = 17.1985238095238mol/s

LAST Step Rounding Answer

∴

G smax = 17.1985mol/s

Maximum Gas Rate for Absorption Column Formula Elements

Variables

Maximum Gas Flowrate on Solute Free Basis

The Maximum Gas Flowrate on Solute Free Basis is defined as the Maximum Inlet Gas Flowrate on solute free basis that can be treated to the absorption column.

Symbol: G_smax

Measurement: Molar Flow RateUnit: mol/s

Note: Value should be greater than 0.

Formulas to find Maximum Gas Flowrate on Solute Free Basis

Liquid Flowrate on Solute Free Basis

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

Symbol: L_s

Measurement: Molar Flow RateUnit: mol/s

Note: Value should be greater than 0.

Formulas to find Liquid 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 Maximum Gas Rate for Absorption Column?

Maximum Gas Rate for Absorption Column evaluator uses Maximum Gas Flowrate on Solute Free Basis = Liquid 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 Maximum Gas Flowrate on Solute Free Basis, The Maximum Gas Rate for Absorption Column formula is defined for maximum gas rate that can be treated with a defined target of separation and fixed liquid flow rate. Maximum Gas Flowrate on Solute Free Basis is denoted by G_smax symbol.

How to evaluate Maximum Gas Rate for Absorption Column using this online evaluator? To use this online evaluator for Maximum Gas Rate for Absorption Column, enter Liquid Flowrate on Solute Free Basis (L_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 Maximum Gas Rate for Absorption Column

What is the formula to find Maximum Gas Rate for Absorption Column?

The formula of Maximum Gas Rate for Absorption Column is expressed as Maximum Gas Flowrate on Solute Free Basis = Liquid 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- 17.19524 = 23/((0.8-0.1)/((0.8/1.5)-0.0099)).

How to calculate Maximum Gas Rate for Absorption Column?

With Liquid Flowrate on Solute Free Basis (L_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 Maximum Gas Rate for Absorption Column using the formula - Maximum Gas Flowrate on Solute Free Basis = Liquid 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 Maximum Gas Rate for Absorption Column be negative?

No, the Maximum Gas Rate for Absorption Column, measured in Molar Flow Rate cannot be negative.

Which unit is used to measure Maximum Gas Rate for Absorption Column?

Maximum Gas 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 Maximum Gas Rate for Absorption Column can be measured.

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Maximum Gas Rate for Absorption Column Formula

Maximum Gas Rate for Absorption Column Example

Maximum Gas Rate for Absorption Column Solution

Maximum Gas Rate for Absorption Column Formula Elements

Other formulas in Gas Absorption category

How to Evaluate Maximum Gas Rate for Absorption Column?

FAQs on Maximum Gas Rate for Absorption Column

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