Liquid Flowrate for Absorption Column on Solute Free basis Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Ls = Gs*(YN+1-Y1)/(XN-X0)
This formula uses 6 Variables
Variables Used
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.
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.
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.
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.
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
Gas Flowrate on Solute Free Basis: 9 Mole per Second --> 9 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
Solute Free Mole Fraction of Liquid in Outlet: 0.3 --> 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
Ls = Gs*(YN+1-Y1)/(XN-X0) --> 9*(0.8-0.1)/(0.3-0.0099)
Evaluating ... ...
Ls = 21.7166494312306
STEP 3: Convert Result to Output's Unit
21.7166494312306 Mole per Second --> No Conversion Required
FINAL ANSWER
21.7166494312306 21.71665 Mole per Second <-- Liquid Flowrate on Solute Free Basis
(Calculation completed in 00.020 seconds)

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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

Liquid Flowrate for Absorption Column on Solute Free basis Formula

​LaTeX ​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)
Ls = Gs*(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 Liquid Rate for Absorption Column ?

The liquid rate for absorption column is the amount of solvent (liquid) required to achieve a defined separation target. This liquid flow rate is based on solute free basis. The liquid rate can be minimized to the point where equilibrium curve touches the operating line, this is known as the minimum liquid rate. As the liquid flowrate decreases the operating cost (cost of solvent) decreases but the capital cost (cost of tower) increases as the number of stages required increases.

How to Calculate Liquid Flowrate for Absorption Column on Solute Free basis?

Liquid Flowrate for Absorption Column on Solute Free basis calculator uses 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) to calculate the Liquid Flowrate on Solute Free Basis, The Liquid Flowrate for Absorption Column on Solute Free basis formula is defined as the liquid rate required for a defined target of separation to be achieved on the solute free basis. Liquid Flowrate on Solute Free Basis is denoted by Ls symbol.

How to calculate Liquid Flowrate for Absorption Column on Solute Free basis using this online calculator? To use this online calculator for Liquid Flowrate for Absorption Column on Solute Free basis, enter Gas Flowrate on Solute Free Basis (Gs), Solute Free Mole Fraction of Gas in Inlet (YN+1), Solute Free Mole Fraction of Gas in Outlet (Y1), Solute Free Mole Fraction of Liquid in Outlet (XN) & Solute Free Mole Fraction of Liquid in Inlet (X0) and hit the calculate button. Here is how the Liquid Flowrate for Absorption Column on Solute Free basis calculation can be explained with given input values -> 21.72414 = 9*(0.8-0.1)/(0.3-0.0099).

FAQ

What is Liquid Flowrate for Absorption Column on Solute Free basis?
The Liquid Flowrate for Absorption Column on Solute Free basis formula is defined as the liquid rate required for a defined target of separation to be achieved on the solute free basis and is represented as Ls = Gs*(YN+1-Y1)/(XN-X0) or 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). The Gas Flowrate on Solute Free Basis is defined as the Inlet Gas 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 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 & 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 Liquid Flowrate for Absorption Column on Solute Free basis?
The Liquid Flowrate for Absorption Column on Solute Free basis formula is defined as the liquid rate required for a defined target of separation to be achieved on the solute free basis is calculated using 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). To calculate Liquid Flowrate for Absorption Column on Solute Free basis, you need Gas Flowrate on Solute Free Basis (Gs), Solute Free Mole Fraction of Gas in Inlet (YN+1), Solute Free Mole Fraction of Gas in Outlet (Y1), Solute Free Mole Fraction of Liquid in Outlet (XN) & Solute Free Mole Fraction of Liquid in Inlet (X0). With our tool, you need to enter the respective value for 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 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 Liquid Flowrate on Solute Free Basis?
In this formula, Liquid Flowrate on Solute Free Basis uses 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. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate/(1+Solute Free Mole Fraction of Liquid in Inlet)
  • Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate*(1-Liquid Inlet Mole Fraction)
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