Solute Free Mole Fraction of Liquid in Inlet based on Mole Fraction Calculator

✖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 based on Mole Fraction [X₀]

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Formula

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Solute Free Mole Fraction of Liquid in Inlet based on Mole Fraction

Formula

`"X"_{"0"} = "x"_{"1"}/(1-"x"_{"1"})`

Example

`"0.052632"="0.05"/(1-"0.05")`

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Solute Free Mole Fraction of Liquid in Inlet based on Mole Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Solute Free Mole Fraction of Liquid in Inlet = Liquid Inlet Mole Fraction/(1-Liquid Inlet Mole Fraction)
X₀ = x₁/(1-x₁)
This formula uses 2 Variables

Variables Used

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.
Liquid Inlet Mole Fraction - The Liquid Inlet Mole Fraction is the mole fraction of the solute in the liquid stream entering the column.

STEP 1: Convert Input(s) to Base Unit

Liquid Inlet Mole Fraction: 0.05 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X₀ = x₁/(1-x₁) --> 0.05/(1-0.05)

Evaluating ... ...

X₀ = 0.0526315789473684

STEP 3: Convert Result to Output's Unit

0.0526315789473684 --> No Conversion Required

FINAL ANSWER

0.0526315789473684 ≈ 0.052632 <-- Solute Free Mole Fraction of Liquid in Inlet

(Calculation completed in 00.004 seconds)

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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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< 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

Murphree Tray Efficiency of Absorption Operation

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

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)