Absorption Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis)
A = Ls/(α*Gs)
This formula uses 4 Variables
Variables Used
Absorption Factor - The Absorption Factor is the ratio of slopes of operating line of absorption to the equilibrium line. If equilibrium line is a curve then the absorption factor is the average at the two ends.
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.
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.
Gas Flowrate on Solute Free Basis - (Measured in Mole per Second) - The Gas Flowrate on Solute Free Basis is defined as the Inlet Gas Flowrate on solute free basis to the absorption column.
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
Equilibrium Constant for Mass Transfer: 1.5 --> No Conversion Required
Gas Flowrate on Solute Free Basis: 9 Mole per Second --> 9 Mole per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Ls/(α*Gs) --> 23/(1.5*9)
Evaluating ... ...
A = 1.7037037037037
STEP 3: Convert Result to Output's Unit
1.7037037037037 --> No Conversion Required
FINAL ANSWER
1.7037037037037 1.703704 <-- Absorption Factor
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
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National University of Judicial Science (NUJS), Kolkata
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10+ Gas Absorption Calculators

Number of Absorption Stages by Kremser Equation
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))
Maximum Gas Rate for Absorption Column
Go 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))
Minimum Liquid Rate for Absorption Column
Go 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)
Minimum Operating Line Slope for Absorption Column
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)
Gas Flowrate for Absorption Column on Solute Free Basis
Go 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 Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet))
Liquid Flowrate for Absorption Column on Solute Free basis
Go 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 Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet)
Number of Stages for Absorption Factor Equal to 1
Go Number of Stages = (Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/(Solute Free Mole Fraction of Gas in Outlet-(Equilibrium Constant for Mass Transfer*Solute Free Mole Fraction of Liquid in Inlet))
Operating Line Slope for Absorption Column
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
Go Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis)
Absorption Factor given Stripping Factor
Go Absorption Factor = 1/Stripping Factor

24 Important Formulas in Gas Absorption & Stripping Calculators

Number of Stripping Stages by Kremser Equation
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))
Number of Absorption Stages by Kremser Equation
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))
Maximum Gas Rate for Absorption Column
Go 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))
Minimum Liquid Rate for Absorption Column
Go 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)
Minimum Operating Line Slope for Absorption Column
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)
Gas Flowrate for Absorption Column on Solute Free Basis
Go 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 Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet))
Liquid Flowrate for Absorption Column on Solute Free basis
Go 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 Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet)
Number of Stages for Absorption Factor Equal to 1
Go Number of Stages = (Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/(Solute Free Mole Fraction of Gas in Outlet-(Equilibrium Constant for Mass Transfer*Solute Free Mole Fraction of Liquid in Inlet))
Point Efficiency of Absorption Operation
Go Point Efficiency of Absorption Column in Percent = ((Local Mole Fraction of Vapor Leaving Nth Plate-Local Mole Fraction of Vapor Entering Nth Plate)/(Local Eqm Mole Fraction of Vapor on Nth Plate-Local Mole Fraction of Vapor Entering Nth Plate))*100
Murphree Tray Efficiency of Absorption Operation
Go Murphree Efficiency of Absorption Column = ((Average Mole Fraction of Vapour on Nth Plate-Average Mole Fraction of Vapour at N+1 Plate)/(Average Mole Fraction at Equilibrium on Nth Plate-Average Mole Fraction of Vapour at N+1 Plate))*100
Operating Line Slope for Absorption Column
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)
Corrected Murphree Efficiency Percentage for Liquid Entrainment
Go Corrected Murphree Efficiency for Absorption = ((Murphree Efficiency of Absorption Column/100)/(1+((Murphree Efficiency of Absorption Column/100)*(Fractional Entrainment/(1-Fractional Entrainment)))))*100
Overall Tray Efficiency for Absorption Column given Murphree Efficiency
Go Overall Tray Efficiency of Absorption Column = (ln(1+(Murphree Efficiency of Absorption Column/100)*((1/Absorption Factor)-1))/ln(1/Absorption Factor))*100
Murphree Efficiency of Absorption Operation Based on Point Efficiency for Plug Flow
Go Murphree Efficiency of Absorption Column = (Absorption Factor*(exp(Point Efficiency of Absorption Column in Percent/(Absorption Factor*100))-1))*100
Stripping Factor
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
Go Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis)
Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction
Go Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate/(1+Solute Free Mole Fraction of Liquid in Inlet)
Solute Free Mole Fraction of Liquid in Inlet based on Mole Fraction
Go Solute Free Mole Fraction of Liquid in Inlet = Liquid Inlet Mole Fraction/(1-Liquid Inlet Mole Fraction)
Gas Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction
Go Gas Flowrate on Solute Free Basis = Inlet Gas Flowrate/(1+Solute Free Mole Fraction of Gas in Inlet)
Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction
Go Solute Free Mole Fraction of Gas in Inlet = Gas Inlet Mole Fraction/(1-Gas Inlet Mole Fraction)
Liquid Flowrate on Solute Free Basis for Inlet Conditions using Mole Fraction
Go Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate*(1-Liquid Inlet Mole Fraction)
Gas Flowrate on Solute Free Basis for Inlet Conditions by Mole Fraction
Go Gas Flowrate on Solute Free Basis = Inlet Gas Flowrate*(1-Gas Inlet Mole Fraction)
Stripping Factor given Absorption Factor
Go Stripping Factor = 1/Absorption Factor
Absorption Factor given Stripping Factor
Go Absorption Factor = 1/Stripping Factor

Absorption Factor Formula

Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis)
A = Ls/(α*Gs)

What is Absorption Factor ?

The Absorption Factor is the ratio of the slopes of operating line of absorption to the equilibrium line. The Absorption Factor calculation is based on the liquid and gas solute free inlet flow rates and the equilibrium constant. For dilute solutions, Henrys law constant can be used as equilibrium constant.

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.

How to Calculate Absorption Factor?

Absorption Factor calculator uses Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis) to calculate the Absorption Factor, The Absorption Factor at Inlet formula is defined as the calculator based on the liquid and gas solute free inlet flow rates to calculate the Absorption factor. Absorption Factor is denoted by A symbol.

How to calculate Absorption Factor using this online calculator? To use this online calculator for Absorption Factor, enter Liquid Flowrate on Solute Free Basis (Ls), Equilibrium Constant for Mass Transfer (α) & Gas Flowrate on Solute Free Basis (Gs) and hit the calculate button. Here is how the Absorption Factor calculation can be explained with given input values -> 1.703704 = 23/(1.5*9).

FAQ

What is Absorption Factor?
The Absorption Factor at Inlet formula is defined as the calculator based on the liquid and gas solute free inlet flow rates to calculate the Absorption factor and is represented as A = Ls/(α*Gs) or Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas 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, 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 Gas Flowrate on Solute Free Basis is defined as the Inlet Gas Flowrate on solute free basis to the absorption column.
How to calculate Absorption Factor?
The Absorption Factor at Inlet formula is defined as the calculator based on the liquid and gas solute free inlet flow rates to calculate the Absorption factor is calculated using Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis). To calculate Absorption Factor, you need Liquid Flowrate on Solute Free Basis (Ls), Equilibrium Constant for Mass Transfer (α) & Gas Flowrate on Solute Free Basis (Gs). With our tool, you need to enter the respective value for Liquid Flowrate on Solute Free Basis, Equilibrium Constant for Mass Transfer & Gas Flowrate on Solute Free Basis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Absorption Factor?
In this formula, Absorption Factor uses Liquid Flowrate on Solute Free Basis, Equilibrium Constant for Mass Transfer & Gas Flowrate on Solute Free Basis. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Absorption Factor = 1/Stripping Factor
  • Absorption Factor = 1/Stripping Factor
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