Maximum Gas Rate for Absorption Column Calculator

✖The Liquid Flowrate on Solute Free Basis is defined as the Inlet Liquid Flowrate on solute free basis to the absorption column.ⓘ Liquid Flowrate on Solute Free Basis [L_s]			+10% -10%
✖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.ⓘ Solute Free Mole Fraction of Gas in Inlet [Y_N+1]			+10% -10%
✖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.ⓘ Solute Free Mole Fraction of Gas in Outlet [Y₁]			+10% -10%
✖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.ⓘ Equilibrium Constant for Mass Transfer [α]			+10% -10%
✖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.ⓘ Solute Free Mole Fraction of Liquid in Inlet [X₀]			+10% -10%

✖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.ⓘ Maximum Gas Rate for Absorption Column [G_smax]

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Maximum Gas Rate for Absorption Column Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
G_smax = L_s/((Y_N+1-Y₁)/((Y_N+1/α)-X₀))
This formula uses 6 Variables

Variables Used

Maximum Gas Flowrate on Solute Free Basis - (Measured in Mole per Second) - 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.
Liquid Flowrate on Solute Free Basis - (Measured in Mole per Second) - The Liquid Flowrate on Solute Free Basis is defined as the Inlet Liquid Flowrate on solute free basis to the 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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Liquid Flowrate on Solute Free Basis: 23 Mole per Second --> 23 Mole per Second No Conversion Required
Solute Free Mole Fraction of Gas in Inlet: 0.8 --> No Conversion Required
Solute Free Mole Fraction of Gas in Outlet: 0.1 --> No Conversion Required
Equilibrium Constant for Mass Transfer: 1.5 --> No Conversion Required
Solute Free Mole Fraction of Liquid in Inlet: 0.0099 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_smax = L_s/((Y_N+1-Y₁)/((Y_N+1/α)-X₀)) --> 23/((0.8-0.1)/((0.8/1.5)-0.0099))

Evaluating ... ...

G_smax = 17.1985238095238

STEP 3: Convert Result to Output's Unit

17.1985238095238 Mole per Second --> No Conversion Required

FINAL ANSWER

17.1985238095238 ≈ 17.19852 Mole per Second <-- Maximum Gas Flowrate on Solute Free Basis

(Calculation completed in 00.006 seconds)

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DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< Gas Absorption Calculators

Number of Absorption Stages by Kremser Equation

LaTeX Go Number of Stages = log10(((Solute Free Mole Fraction of Gas in Inlet-(Equilibrium Constant for Mass Transfer*Solute Free Mole Fraction of Liquid in Inlet))/(Solute Free Mole Fraction of Gas in Outlet-(Equilibrium Constant for Mass Transfer*Solute Free Mole Fraction of Liquid in Inlet)))*(1-(1/Absorption Factor))+(1/Absorption Factor))/(log10(Absorption Factor))

Minimum Operating Line Slope for Absorption Column

LaTeX Go 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)

Operating Line Slope for Absorption Column

LaTeX Go 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)

Absorption Factor

LaTeX Go Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis)

< Important Formulas in Gas Absorption and Stripping Calculators

Number of Stripping Stages by Kremser Equation

LaTeX Go Number of Stages = (log10(((Solute Free Mole Frac of Liquid in Stripping Inlet-(Solute Free Mole Frac of Gas in Stripping Inlet/Equilibrium Constant for Mass Transfer))/(Solute Free Mole Frac of Liquid in Stripping Out-(Solute Free Mole Frac of Gas in Stripping Inlet/Equilibrium Constant for Mass Transfer)))*(1-(1/Stripping Factor))+(1/Stripping Factor)))/(log10(Stripping Factor))

Stripping Factor

LaTeX Go Stripping Factor = (Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis for Stripping)/Liquid Flowrate on Solute Free Basis for Stripping

Absorption Factor

LaTeX Go Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis)

Stripping Factor given Absorption Factor

LaTeX Go Stripping Factor = 1/Absorption Factor

Maximum Gas Rate for Absorption Column Formula

LaTeX Go

What are the factors to be considered for Solvent Selection ?

The factors to be considered are: 1. The gas solubility should be high, thus increasing the rate of absorption and decreasing the quantity of solvent required. 2. The solvent should have a low vapour pressure to reduce loss of solvent in the gas leaving an absorption column. 3. The materials of construction required for the equipment should not be unusual or expensive. 4. The solvent should be inexpensive, so that losses are not costly, and should be readily available. 5. Low viscosity is preferred for reasons of rapid absorption rates, improved flooding characteristics in packed column, low pressure drops on pumping, and good heat transfer characteristics. 6. The solvent should be non-toxic, non-flammable and chemically stable.

What is Maximum Gas Rate for Absorption Column ?

The maximum gas rate for absorption column is the maximum amount of inlet gas flow that can be treated with a defined separation target and fixed liquid flow rate. This gas flow rate is based on solute free basis. The maximum gas rate can be graphically evaluated by the point at which the operating line meets the equilibrium curve, at this point the driving force is zero and is called the pinch point. At maximum gas rate absorption, an infinite number of stages (or an infinite height of packed tower, if packing is used) is required.

How to Calculate Maximum Gas Rate for Absorption Column?

Maximum Gas Rate for Absorption Column calculator 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 calculate 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 calculate Maximum Gas Rate for Absorption Column using this online calculator? To use this online calculator 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. Here is how the Maximum Gas Rate for Absorption Column calculation can be explained with given input values -> 17.19524 = 23/((0.8-0.1)/((0.8/1.5)-0.0099)).

FAQ

What is Maximum Gas Rate for Absorption Column?

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 and is represented as G_smax = L_s/((Y_N+1-Y₁)/((Y_N+1/α)-X₀)) or 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)). The Liquid Flowrate on Solute Free Basis is defined as the Inlet Liquid Flowrate on solute free basis to the absorption column, 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, 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, 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 & 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.

How to calculate Maximum Gas Rate for Absorption Column?

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 is calculated using 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 calculate Maximum Gas Rate for Absorption Column, you need 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). With our tool, you need to enter the respective value for Liquid Flowrate on Solute Free Basis, Solute Free Mole Fraction of Gas in Inlet, Solute Free Mole Fraction of Gas in Outlet, Equilibrium Constant for Mass Transfer & Solute Free Mole Fraction of Liquid in Inlet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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