## Credits

DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has created this Calculator and 50+ more calculators!
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has verified this Calculator and 300+ more calculators!

## Gas Rate for Absorption Column Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Liquid in Outlet on Solute Free-Mole Fraction of Liquid in Inlet on Solute Free))
Gs = Ls/((YN+1-Y1)/(XN-X0))
This formula uses 5 Variables
Variables Used
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. (Measured in Mole per Second)
Mole Fraction of Gas in Inlet on Solute Free- The Mole Fraction of Gas in Inlet on Solute Free Basis is the mole fraction of the Solute in the Gas stream entering the column on solute free basis.
Mole Fraction of Gas in Outlet on Solute Free- The Mole Fraction of Gas in Outlet on Solute Free is the mole fraction of the solute in the exit gas stream of the column on solute free basis.
Mole Fraction of Liquid in Outlet on Solute Free- The Mole Fraction of Liquid in Outlet on Solute Free is the Mole fraction of the solute in the liquid at the column exit on solute free basis.
Mole Fraction of Liquid in Inlet on Solute Free- The Mole Fraction of Liquid in Inlet on Solute Free 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: 20 Mole per Second --> 20 Mole per Second No Conversion Required
Mole Fraction of Gas in Inlet on Solute Free: 0.8 --> No Conversion Required
Mole Fraction of Gas in Outlet on Solute Free: 0.1 --> No Conversion Required
Mole Fraction of Liquid in Outlet on Solute Free: 0.3 --> No Conversion Required
Mole Fraction of Liquid in Inlet on Solute Free: 0.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gs = Ls/((YN+1-Y1)/(XN-X0)) --> 20/((0.8-0.1)/(0.3-0.01))
Evaluating ... ...
Gs = 8.28571428571428
STEP 3: Convert Result to Output's Unit
8.28571428571428 Mole per Second --> No Conversion Required
8.28571428571428 Mole per Second <-- Gas Flowrate on Solute Free Basis
(Calculation completed in 00.016 seconds)

## < 10+ Gas Absorption Calculators

Number of Absorption Stages by Kremser Equation
Number of Stages = log10(((Mole Fraction of Gas in Inlet on Solute Free-(Equilibrium Constant for Mass Transfer*Mole Fraction of Liquid in Inlet on Solute Free))/(Mole Fraction of Gas in Outlet on Solute Free-(Equilibrium Constant for Mass Transfer*Mole Fraction of Liquid in Inlet on Solute Free)))*(1-(1/Absorption Factor))+(1/Absorption Factor))/log10(Absorption Factor) Go
Maximum Gas Rate for Absorption Column
Maximum Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Mole Fraction of Gas in Inlet on Solute Free- Mole Fraction of Gas in Outlet on Solute Free)/((Mole Fraction of Gas in Inlet on Solute Free/Equilibrium Constant for Mass Transfer)-Mole Fraction of Liquid in Inlet on Solute Free)) Go
Minimum Liquid Rate for Absorption Column
Minimum Liquid Flowrate on Solute Free Basis = Gas Flowrate on Solute Free Basis*(Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/((Mole Fraction of Gas in Inlet on Solute Free/Equilibrium Constant for Mass Transfer)-Mole Fraction of Liquid in Inlet on Solute Free) Go
Minimum Operating Line Slope for Absorption Column
Minimum Operating Line Slope of Absorption Column = (Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/((Mole Fraction of Gas in Inlet on Solute Free/Equilibrium Constant for Mass Transfer)-Mole Fraction of Liquid in Inlet on Solute Free) Go
Gas Rate for Absorption Column
Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Liquid in Outlet on Solute Free-Mole Fraction of Liquid in Inlet on Solute Free)) Go
Liquid Rate for Absorption Column
Liquid Flowrate on Solute Free Basis = Gas Flowrate on Solute Free Basis*(Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Liquid in Outlet on Solute Free-Mole Fraction of Liquid in Inlet on Solute Free) Go
Number of Stages for Absorption Factor Equal to 1
Number of Stages = (Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Gas in Outlet on Solute Free-(Equilibrium Constant for Mass Transfer*Mole Fraction of Liquid in Inlet on Solute Free)) Go
Operating Line Slope for Absorption Column
Operating Line Slope of Absorption Column = (Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Liquid in Outlet on Solute Free-Mole Fraction of Liquid in Inlet on Solute Free) Go
Absorption Factor
Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis) Go
Absorption Factor based on Stripping Factor
Absorption Factor = 1/Stripping Factor Go

### Gas Rate for Absorption Column Formula

Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Liquid in Outlet on Solute Free-Mole Fraction of Liquid in Inlet on Solute Free))
Gs = Ls/((YN+1-Y1)/(XN-X0))

## 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 Gas Rate for Absorption Column ?

The Gas rate for absorption column is the amount of inlet gas that could be absorbed to a defined separation target for a fixed liquid flow rate. This gas flow rate is based on solute free basis. The gas rate can be maximized to the point where equilibrium curve touches the operating line, this is known as the maximum gas rate. As the gas flowrate increases the operating cost (cost of solvent required per unit gas treated) decreases for the fixed solvent rate, but the capital cost (cost of tower) increases as the number of stages required increases.

## How to Calculate Gas Rate for Absorption Column?

Gas Rate for Absorption Column calculator uses Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Liquid in Outlet on Solute Free-Mole Fraction of Liquid in Inlet on Solute Free)) to calculate the Gas Flowrate on Solute Free Basis, The Gas Rate for Absorption Column formula is defined as the gas rate required for a defined target of separation to be achieved. Gas Flowrate on Solute Free Basis is denoted by Gs symbol.

How to calculate Gas Rate for Absorption Column using this online calculator? To use this online calculator for Gas Rate for Absorption Column, enter Liquid Flowrate on Solute Free Basis (Ls), Mole Fraction of Gas in Inlet on Solute Free (YN+1), Mole Fraction of Gas in Outlet on Solute Free (Y1), Mole Fraction of Liquid in Outlet on Solute Free (XN) & Mole Fraction of Liquid in Inlet on Solute Free (X0) and hit the calculate button. Here is how the Gas Rate for Absorption Column calculation can be explained with given input values -> 8.285714 = 20/((0.8-0.1)/(0.3-0.01)).

### FAQ

What is Gas Rate for Absorption Column?
The Gas Rate for Absorption Column formula is defined as the gas rate required for a defined target of separation to be achieved and is represented as Gs = Ls/((YN+1-Y1)/(XN-X0)) or Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Liquid in Outlet on Solute Free-Mole Fraction of Liquid in Inlet on Solute Free)). The Liquid Flowrate on Solute Free Basis is defined as the Inlet Liquid Flowrate on solute free basis to the absorption column, The Mole Fraction of Gas in Inlet on Solute Free Basis is the mole fraction of the Solute in the Gas stream entering the column on solute free basis, The Mole Fraction of Gas in Outlet on Solute Free is the mole fraction of the solute in the exit gas stream of the column on solute free basis, The Mole Fraction of Liquid in Outlet on Solute Free is the Mole fraction of the solute in the liquid at the column exit on solute free basis & The Mole Fraction of Liquid in Inlet on Solute Free is the mole fraction of the solute in the solvent (liquid) in inlet of the column on solute free basis.
How to calculate Gas Rate for Absorption Column?
The Gas Rate for Absorption Column formula is defined as the gas rate required for a defined target of separation to be achieved is calculated using Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Mole Fraction of Gas in Inlet on Solute Free-Mole Fraction of Gas in Outlet on Solute Free)/(Mole Fraction of Liquid in Outlet on Solute Free-Mole Fraction of Liquid in Inlet on Solute Free)). To calculate Gas Rate for Absorption Column, you need Liquid Flowrate on Solute Free Basis (Ls), Mole Fraction of Gas in Inlet on Solute Free (YN+1), Mole Fraction of Gas in Outlet on Solute Free (Y1), Mole Fraction of Liquid in Outlet on Solute Free (XN) & Mole Fraction of Liquid in Inlet on Solute Free (X0). With our tool, you need to enter the respective value for Liquid Flowrate on Solute Free Basis, Mole Fraction of Gas in Inlet on Solute Free, Mole Fraction of Gas in Outlet on Solute Free, Mole Fraction of Liquid in Outlet on Solute Free & Mole Fraction of Liquid in Inlet on Solute Free and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know