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Number of Stripping Stages by Kremser Equation Calculator

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✖The Solute Free Mole Frac of Liquid in Stripping Inlet is the mole fraction of the solute in the solvent (liquid) in inlet of the stripping column on solute free basis.ⓘ Solute Free Mole Frac of Liquid in Stripping Inlet [X0(Stripping)]
+10%
-10%
✖The Solute Free Mole Frac of Gas in Stripping Inlet is the mole fraction of the Solute in the Gas stream entering the stripping column on solute free basis.ⓘ Solute Free Mole Frac of Gas in Stripping Inlet [YN+1(Stripping)]
+10%
-10%
✖The Equilibrium constant for Mass Transfer is the proportionality constant between gas phase mole fraction and liquid phase mole fraction and could be given as the ratio between the two.ⓘ Equilibrium Constant for Mass Transfer [α]
+10%
-10%
✖The Solute Free Mole Frac of Liquid in Stripping Outlet is the Mole fraction of the solute in the liquid at the Stripping column exit on solute free basis.ⓘ Solute Free Mole Frac of Liquid in Stripping Out [XN(Stripping)]
+10%
-10%
✖The Stripping Factor is the ratio of slope of operating line of stripping to the equilibrium line. If equilibrium line is a curve then the stripping factor is the average at the two ends.ⓘ Stripping Factor [S]
+10%
-10%
✖The Number of Stages is defined as the Ideal number of stages required to achieve the desired separation.ⓘ Number of Stripping Stages by Kremser Equation [N]
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Formula
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Number of Stripping Stages by Kremser Equation

Formula
`"N" = (log10((("X"_{"0(Stripping)"}-("Y"_{"N+1(Stripping)"}/"α"))/("X"_{"N(Stripping)"}-("Y"_{"N+1(Stripping)"}/"α")))*(1-(1/"S"))+(1/"S")))/(log10("S"))`

Example
`"6.020492"=(log10((("0.225"-("0.001"/"1.5"))/("0.01"-("0.001"/"1.5")))*(1-(1/"1.4"))+(1/"1.4")))/(log10("1.4"))`

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Number of Stripping Stages by Kremser Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
N = (log10(((X0(Stripping)-(YN+1(Stripping)/α))/(XN(Stripping)-(YN+1(Stripping)/α)))*(1-(1/S))+(1/S)))/(log10(S))
This formula uses 1 Functions, 6 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Number of Stages - The Number of Stages is defined as the Ideal number of stages required to achieve the desired separation.
Solute Free Mole Frac of Liquid in Stripping Inlet - The Solute Free Mole Frac of Liquid in Stripping Inlet is the mole fraction of the solute in the solvent (liquid) in inlet of the stripping column on solute free basis.
Solute Free Mole Frac of Gas in Stripping Inlet - The Solute Free Mole Frac of Gas in Stripping Inlet is the mole fraction of the Solute in the Gas stream entering the stripping column on solute free basis.
Equilibrium Constant for Mass Transfer - The Equilibrium constant for Mass Transfer is the proportionality constant between gas phase mole fraction and liquid phase mole fraction and could be given as the ratio between the two.
Solute Free Mole Frac of Liquid in Stripping Out - The Solute Free Mole Frac of Liquid in Stripping Outlet is the Mole fraction of the solute in the liquid at the Stripping column exit on solute free basis.
Stripping Factor - The Stripping Factor is the ratio of slope of operating line of stripping to the equilibrium line. If equilibrium line is a curve then the stripping factor is the average at the two ends.
STEP 1: Convert Input(s) to Base Unit
Solute Free Mole Frac of Liquid in Stripping Inlet: 0.225 --> No Conversion Required
Solute Free Mole Frac of Gas in Stripping Inlet: 0.001 --> No Conversion Required
Equilibrium Constant for Mass Transfer: 1.5 --> No Conversion Required
Solute Free Mole Frac of Liquid in Stripping Out: 0.01 --> No Conversion Required
Stripping Factor: 1.4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = (log10(((X0(Stripping)-(YN+1(Stripping)/α))/(XN(Stripping)-(YN+1(Stripping)/α)))*(1-(1/S))+(1/S)))/(log10(S)) --> (log10(((0.225-(0.001/1.5))/(0.01-(0.001/1.5)))*(1-(1/1.4))+(1/1.4)))/(log10(1.4))
Evaluating ... ...
N = 6.02049246734039
STEP 3: Convert Result to Output's Unit
6.02049246734039 --> No Conversion Required
FINAL ANSWER
6.02049246734039 ≈ 6.020492 <-- Number of Stages
(Calculation completed in 00.004 seconds)
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3 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))
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
Stripping Factor given Absorption Factor
Go Stripping Factor = 1/Absorption Factor

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

Number of Stripping Stages by Kremser Equation Formula

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))
N = (log10(((X0(Stripping)-(YN+1(Stripping)/α))/(XN(Stripping)-(YN+1(Stripping)/α)))*(1-(1/S))+(1/S)))/(log10(S))

What is Stripping Operation ?

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

What is the Kremser - Souders - Brown Equation ?

In unit operation design calculations, it is useful to find out the quality of separation for a given number of stages. It is also useful to find the required number of stages if the product recovery is specified. The development was first given by Kremser in 1930, and by Souders and Brown in 1932. The resulting equations are referred to as the KSB or Kremser equations. These equation were originally developed for gas absorption operation in a plate column, however, it is applicable to other mass transfer operations as well (for example, counter current adsorption).

How to Calculate Number of Stripping Stages by Kremser Equation?

Number of Stripping Stages by Kremser Equation calculator uses 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)) to calculate the Number of Stages, The Number of Stripping Stages by Kremser Equation formula is defined for number of stages for dilute systems having straight operating line in absorption algebraically. Number of Stages is denoted by N symbol.

How to calculate Number of Stripping Stages by Kremser Equation using this online calculator? To use this online calculator for Number of Stripping Stages by Kremser Equation, enter Solute Free Mole Frac of Liquid in Stripping Inlet (X0(Stripping)), Solute Free Mole Frac of Gas in Stripping Inlet (YN+1(Stripping)), Equilibrium Constant for Mass Transfer (α), Solute Free Mole Frac of Liquid in Stripping Out (XN(Stripping)) & Stripping Factor (S) and hit the calculate button. Here is how the Number of Stripping Stages by Kremser Equation calculation can be explained with given input values -> -0.220759 = (log10(((0.225-(0.001/1.5))/(0.01-(0.001/1.5)))*(1-(1/1.4))+(1/1.4)))/(log10(1.4)).

FAQ

What is Number of Stripping Stages by Kremser Equation?
The Number of Stripping Stages by Kremser Equation formula is defined for number of stages for dilute systems having straight operating line in absorption algebraically and is represented as N = (log10(((X0(Stripping)-(YN+1(Stripping)/α))/(XN(Stripping)-(YN+1(Stripping)/α)))*(1-(1/S))+(1/S)))/(log10(S)) or 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)). The Solute Free Mole Frac of Liquid in Stripping Inlet is the mole fraction of the solute in the solvent (liquid) in inlet of the stripping column on solute free basis, The Solute Free Mole Frac of Gas in Stripping Inlet is the mole fraction of the Solute in the Gas stream entering the stripping column on solute free basis, The Equilibrium constant for Mass Transfer is the proportionality constant between gas phase mole fraction and liquid phase mole fraction and could be given as the ratio between the two, The Solute Free Mole Frac of Liquid in Stripping Outlet is the Mole fraction of the solute in the liquid at the Stripping column exit on solute free basis & The Stripping Factor is the ratio of slope of operating line of stripping to the equilibrium line. If equilibrium line is a curve then the stripping factor is the average at the two ends.
How to calculate Number of Stripping Stages by Kremser Equation?
The Number of Stripping Stages by Kremser Equation formula is defined for number of stages for dilute systems having straight operating line in absorption algebraically is calculated using 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)). To calculate Number of Stripping Stages by Kremser Equation, you need Solute Free Mole Frac of Liquid in Stripping Inlet (X0(Stripping)), Solute Free Mole Frac of Gas in Stripping Inlet (YN+1(Stripping)), Equilibrium Constant for Mass Transfer (α), Solute Free Mole Frac of Liquid in Stripping Out (XN(Stripping)) & Stripping Factor (S). With our tool, you need to enter the respective value for 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 & Stripping Factor 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 Number of Stages?
In this formula, Number of Stages uses 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 & Stripping Factor. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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))
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