Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate/(1+Solute Free Mole Fraction of Liquid in Inlet)
Ls = L0/(1+X0)
This formula uses 3 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.
Inlet Liquid Flowrate - (Measured in Mole per Second) - The Inlet Liquid Flowrate is the inlet Liquid flowrate of solvent liquid to the absorption column.
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
Inlet Liquid Flowrate: 25 Mole per Second --> 25 Mole per Second 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 = L0/(1+X0) --> 25/(1+0.0099)
Evaluating ... ...
Ls = 24.7549262303198
STEP 3: Convert Result to Output's Unit
24.7549262303198 Mole per Second --> No Conversion Required
FINAL ANSWER
24.7549262303198 24.75493 Mole per Second <-- Liquid Flowrate on Solute Free Basis
(Calculation completed in 00.004 seconds)

Credits

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DJ Sanghvi College of Engineering (DJSCE), Mumbai
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11 Gas Absorption & Stripping Calculators

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
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
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)

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

Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction Formula

Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate/(1+Solute Free Mole Fraction of Liquid in Inlet)
Ls = L0/(1+X0)

What is Gas Absorption Operation ?

Gas Absorption is a mass transfer operation in which one or more species (solute) is removed from a gaseous stream by dissolution in a liquid (solvent). The insoluble component(s) present in the gas which is not absorbed is called the carrier gas. The intimate contact between the gas and the liquid is achieved in a suitable equipment or device like a packed column, tray column, spray tower, venturi scrubber, etc. The reverse of absorption is called desorption or stripping.

How to Calculate Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction?

Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction calculator uses Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate/(1+Solute Free Mole Fraction of Liquid in Inlet) to calculate the Liquid Flowrate on Solute Free Basis, The Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction formula is defined as the Inlet flowrate of Solvent on solute free basis calculated based on Inlet conditions of solvent using Solute Free Mole Fraction. Liquid Flowrate on Solute Free Basis is denoted by Ls symbol.

How to calculate Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction using this online calculator? To use this online calculator for Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction, enter Inlet Liquid Flowrate (L0) & Solute Free Mole Fraction of Liquid in Inlet (X0) and hit the calculate button. Here is how the Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction calculation can be explained with given input values -> 24.75248 = 25/(1+0.0099).

FAQ

What is Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction?
The Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction formula is defined as the Inlet flowrate of Solvent on solute free basis calculated based on Inlet conditions of solvent using Solute Free Mole Fraction and is represented as Ls = L0/(1+X0) or Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate/(1+Solute Free Mole Fraction of Liquid in Inlet). The Inlet Liquid Flowrate is the inlet Liquid flowrate of solvent liquid to the absorption column & 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 on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction?
The Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction formula is defined as the Inlet flowrate of Solvent on solute free basis calculated based on Inlet conditions of solvent using Solute Free Mole Fraction is calculated using Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate/(1+Solute Free Mole Fraction of Liquid in Inlet). To calculate Liquid Flowrate on Solute Free Basis for Inlet Conditions by Solute Free Mole Fraction, you need Inlet Liquid Flowrate (L0) & Solute Free Mole Fraction of Liquid in Inlet (X0). With our tool, you need to enter the respective value for Inlet Liquid Flowrate & 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 Inlet Liquid Flowrate & Solute Free Mole Fraction of Liquid in Inlet. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate*(1-Liquid Inlet Mole Fraction)
  • 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)
  • Liquid Flowrate on Solute Free Basis = Inlet Liquid Flowrate*(1-Liquid Inlet Mole Fraction)
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