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

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✖The Gas Inlet Mole Fraction is the mole fraction of the solute in the gas stream entering the column.ⓘ Gas Inlet Mole Fraction [yN+1]
+10%
-10%
✖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 Inlet based on Mole Fraction [YN+1]
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Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction

Formula
`"Y"_{"N+1"} = "y"_{"N+1"}/(1-"y"_{"N+1"})`

Example
`"0.428571"="0.3"/(1-"0.3")`

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

STEP 0: Pre-Calculation Summary
Formula Used
Solute Free Mole Fraction of Gas in Inlet = Gas Inlet Mole Fraction/(1-Gas Inlet Mole Fraction)
YN+1 = yN+1/(1-yN+1)
This formula uses 2 Variables
Variables Used
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.
Gas Inlet Mole Fraction - The Gas Inlet Mole Fraction is the mole fraction of the solute in the gas stream entering the column.
STEP 1: Convert Input(s) to Base Unit
Gas Inlet Mole Fraction: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
YN+1 = yN+1/(1-yN+1) --> 0.3/(1-0.3)
Evaluating ... ...
YN+1 = 0.428571428571429
STEP 3: Convert Result to Output's Unit
0.428571428571429 --> No Conversion Required
FINAL ANSWER
0.428571428571429 ≈ 0.428571 <-- Solute Free Mole Fraction of Gas in Inlet
(Calculation completed in 00.004 seconds)
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Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has created this Calculator and 300+ more calculators!
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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
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

Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction Formula

Solute Free Mole Fraction of Gas in Inlet = Gas Inlet Mole Fraction/(1-Gas Inlet Mole Fraction)
YN+1 = yN+1/(1-yN+1)

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 Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction?

Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction calculator uses Solute Free Mole Fraction of Gas in Inlet = Gas Inlet Mole Fraction/(1-Gas Inlet Mole Fraction) to calculate the Solute Free Mole Fraction of Gas in Inlet, The Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction formula is defined as solute free basis mole fraction of Gas entering the column calculated on the basis of mole fraction of solute in gas. Solute Free Mole Fraction of Gas in Inlet is denoted by YN+1 symbol.

How to calculate Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction using this online calculator? To use this online calculator for Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction, enter Gas Inlet Mole Fraction (yN+1) and hit the calculate button. Here is how the Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction calculation can be explained with given input values -> 5.666667 = 0.3/(1-0.3).

FAQ

What is Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction?
The Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction formula is defined as solute free basis mole fraction of Gas entering the column calculated on the basis of mole fraction of solute in gas and is represented as YN+1 = yN+1/(1-yN+1) or Solute Free Mole Fraction of Gas in Inlet = Gas Inlet Mole Fraction/(1-Gas Inlet Mole Fraction). The Gas Inlet Mole Fraction is the mole fraction of the solute in the gas stream entering the column.
How to calculate Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction?
The Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction formula is defined as solute free basis mole fraction of Gas entering the column calculated on the basis of mole fraction of solute in gas is calculated using Solute Free Mole Fraction of Gas in Inlet = Gas Inlet Mole Fraction/(1-Gas Inlet Mole Fraction). To calculate Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction, you need Gas Inlet Mole Fraction (yN+1). With our tool, you need to enter the respective value for Gas Inlet Mole Fraction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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