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Point Efficiency of Absorption Operation Calculator

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Stripping
✖The Local mole fraction of Vapor Leaving Nth Plate is the mole fraction of the gas at any point or location on the tray leaving from the Nth tray.ⓘ Local Mole Fraction of Vapor Leaving Nth Plate [yN, Local]
+10%
-10%
✖The Local mole fraction of Vapor Entering Nth Plate is the mole fraction of the gas at any point or location on the tray leaving from the (N+1)th tray.ⓘ Local Mole Fraction of Vapor Entering Nth Plate [yN+1, Local]
+10%
-10%
✖The Local Eqm Mole Fraction of Vapor on Nth Plate is the mole fraction of the gas that is in equilibrium with the liquid on the Nth tray.ⓘ Local Eqm Mole Fraction of Vapor on Nth Plate [ylocal, eqm]
+10%
-10%
✖The Point Efficiency of Absorption Column in percent based on the vapor phase is the gas liquid separation efficiency on each tray for liquid vertically well mixed and gas in plug flow.ⓘ Point Efficiency of Absorption Operation [EOG]
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Point Efficiency of Absorption Operation

Formula
`"E"_{"OG"} = (("y"_{"N, Local"}-"y"_{"N+1, Local"})/("y"_{"local, eqm"}-"y"_{"N+1, Local"}))*100`

Example
`"75"=(("0.35"-"0.41")/("0.33"-"0.41"))*100`

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Point Efficiency of Absorption Operation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
EOG = ((yN, Local-yN+1, Local)/(ylocal, eqm-yN+1, Local))*100
This formula uses 4 Variables
Variables Used
Point Efficiency of Absorption Column in Percent - The Point Efficiency of Absorption Column in percent based on the vapor phase is the gas liquid separation efficiency on each tray for liquid vertically well mixed and gas in plug flow.
Local Mole Fraction of Vapor Leaving Nth Plate - The Local mole fraction of Vapor Leaving Nth Plate is the mole fraction of the gas at any point or location on the tray leaving from the Nth tray.
Local Mole Fraction of Vapor Entering Nth Plate - The Local mole fraction of Vapor Entering Nth Plate is the mole fraction of the gas at any point or location on the tray leaving from the (N+1)th tray.
Local Eqm Mole Fraction of Vapor on Nth Plate - The Local Eqm Mole Fraction of Vapor on Nth Plate is the mole fraction of the gas that is in equilibrium with the liquid on the Nth tray.
STEP 1: Convert Input(s) to Base Unit
Local Mole Fraction of Vapor Leaving Nth Plate: 0.35 --> No Conversion Required
Local Mole Fraction of Vapor Entering Nth Plate: 0.41 --> No Conversion Required
Local Eqm Mole Fraction of Vapor on Nth Plate: 0.33 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EOG = ((yN, Local-yN+1, Local)/(ylocal, eqm-yN+1, Local))*100 --> ((0.35-0.41)/(0.33-0.41))*100
Evaluating ... ...
EOG = 75
STEP 3: Convert Result to Output's Unit
75 --> No Conversion Required
FINAL ANSWER
75 <-- Point Efficiency of Absorption Column in Percent
(Calculation completed in 00.004 seconds)
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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

Point Efficiency of Absorption Operation Formula

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
EOG = ((yN, Local-yN+1, Local)/(ylocal, eqm-yN+1, Local))*100

What is Absorption Operation ?

Absorption is a physical separation process where one or more components are removed from a gas/vapor stream by a liquid stream. In industrial applications the liquid and vapor streams can have co-current or countercurrent flows. Absorption is usually carried out in either a packed or trayed column. The variables and design considerations for Absorbers are many. Among them are the entering conditions, the degree of recovery of the solute needed, the choice of the Absorbing agent and its flow, the operating conditions, the number of stages, the heat effects, and the type and size of the equipment.

What is Point Efficiency of Absorption Column ?

The contact between the phases on a tray is not uniformly good at all locations, i.e. the tray efficiency is likely to vary from one location to another on a tray. However, if we assume that (i) the liquid is 'vertically well-mixed' (i.e. the liquid concentration is uniform in the vertical direction at any point on the tray and (ii) the gas-phase is in plug flow (i.e. the gas concentration changes along the depth), we can define a 'point efficiency' based on the gas-phase concentration. So Point efficiency is the ratio of actual enrichment of the gas (as it bubbles through the liquid on the tray) to the maximum enrichment that could have been achieved if the exiting gas had reached equilibrium with the local liquid.

How to Calculate Point Efficiency of Absorption Operation?

Point Efficiency of Absorption Operation calculator uses 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 to calculate the Point Efficiency of Absorption Column in Percent, The Point Efficiency of Absorption Operation formula is defined as the ratio of actual enrichment of the gas to the maximum enrichment that could have been achieved if equilibrium is reached. Point Efficiency of Absorption Column in Percent is denoted by EOG symbol.

How to calculate Point Efficiency of Absorption Operation using this online calculator? To use this online calculator for Point Efficiency of Absorption Operation, enter Local Mole Fraction of Vapor Leaving Nth Plate (yN, Local), Local Mole Fraction of Vapor Entering Nth Plate (yN+1, Local) & Local Eqm Mole Fraction of Vapor on Nth Plate (ylocal, eqm) and hit the calculate button. Here is how the Point Efficiency of Absorption Operation calculation can be explained with given input values -> 75 = ((0.35-0.41)/(0.33-0.41))*100.

FAQ

What is Point Efficiency of Absorption Operation?
The Point Efficiency of Absorption Operation formula is defined as the ratio of actual enrichment of the gas to the maximum enrichment that could have been achieved if equilibrium is reached and is represented as EOG = ((yN, Local-yN+1, Local)/(ylocal, eqm-yN+1, Local))*100 or 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. The Local mole fraction of Vapor Leaving Nth Plate is the mole fraction of the gas at any point or location on the tray leaving from the Nth tray, The Local mole fraction of Vapor Entering Nth Plate is the mole fraction of the gas at any point or location on the tray leaving from the (N+1)th tray & The Local Eqm Mole Fraction of Vapor on Nth Plate is the mole fraction of the gas that is in equilibrium with the liquid on the Nth tray.
How to calculate Point Efficiency of Absorption Operation?
The Point Efficiency of Absorption Operation formula is defined as the ratio of actual enrichment of the gas to the maximum enrichment that could have been achieved if equilibrium is reached is calculated using 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. To calculate Point Efficiency of Absorption Operation, you need Local Mole Fraction of Vapor Leaving Nth Plate (yN, Local), Local Mole Fraction of Vapor Entering Nth Plate (yN+1, Local) & Local Eqm Mole Fraction of Vapor on Nth Plate (ylocal, eqm). With our tool, you need to enter the respective value for 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 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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