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The Number of Stages is defined as the Ideal number of stages required to achieve the desired separation. Check FAQs
N=log10((X0(Stripping)-(YN+1(Stripping)α)XN(Stripping)-(YN+1(Stripping)α))(1-(1S))+(1S))log10(S)
N - Number of Stages?X0(Stripping) - Solute Free Mole Frac of Liquid in Stripping Inlet?YN+1(Stripping) - Solute Free Mole Frac of Gas in Stripping Inlet?α - Equilibrium Constant for Mass Transfer?XN(Stripping) - Solute Free Mole Frac of Liquid in Stripping Out?S - Stripping Factor?

Number of Stripping Stages by Kremser Equation Example

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With units
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Here is how the Number of Stripping Stages by Kremser Equation equation looks like with Values.

Here is how the Number of Stripping Stages by Kremser Equation equation looks like with Units.

Here is how the Number of Stripping Stages by Kremser Equation equation looks like.

6.0205Edit=log10((0.225Edit-(0.001Edit1.5Edit)0.01Edit-(0.001Edit1.5Edit))(1-(11.4Edit))+(11.4Edit))log10(1.4Edit)
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Number of Stripping Stages by Kremser Equation Solution

Follow our step by step solution on how to calculate Number of Stripping Stages by Kremser Equation?

FIRST Step Consider the formula
N=log10((X0(Stripping)-(YN+1(Stripping)α)XN(Stripping)-(YN+1(Stripping)α))(1-(1S))+(1S))log10(S)
Next Step Substitute values of Variables
N=log10((0.225-(0.0011.5)0.01-(0.0011.5))(1-(11.4))+(11.4))log10(1.4)
Next Step Prepare to Evaluate
N=log10((0.225-(0.0011.5)0.01-(0.0011.5))(1-(11.4))+(11.4))log10(1.4)
Next Step Evaluate
N=6.02049246734039
LAST Step Rounding Answer
N=6.0205

Number of Stripping Stages by Kremser Equation Formula Elements

Variables
Functions
Number of Stages
The Number of Stages is defined as the Ideal number of stages required to achieve the desired separation.
Symbol: N
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Symbol: X0(Stripping)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
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.
Symbol: YN+1(Stripping)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
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.
Symbol: α
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Symbol: XN(Stripping)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
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.
Symbol: S
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Syntax: log10(Number)

Other Formulas to find Number of Stages

​Go Number of Absorption Stages by Kremser Equation
N=log10(YN+1-(αX0)Y1-(αX0))(1-(1A))+(1A)log10(A)
​Go Number of Stages for Absorption Factor Equal to 1
N=YN+1-Y1Y1-(αX0)

Other formulas in Stripping category

​Go Stripping Factor
S=αGs(Stripping)Ls(Stripping)
​Go Stripping Factor given Absorption Factor
S=1A
​Go Absorption Factor
A=LsαGs
​Go Absorption Factor given Stripping Factor
A=1S

How to Evaluate Number of Stripping Stages by Kremser Equation?

Number of Stripping Stages by Kremser Equation evaluator 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 evaluate 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 evaluate Number of Stripping Stages by Kremser Equation using this online evaluator? To use this online evaluator 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.

FAQs on Number of Stripping Stages by Kremser Equation

What is the formula to find Number of Stripping Stages by Kremser Equation?
The formula of Number of Stripping Stages by Kremser Equation is expressed as 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)). Here is an example- -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)).
How to calculate Number of Stripping Stages by Kremser Equation?
With 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) we can find Number of Stripping Stages by Kremser Equation using the 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)). This formula also uses Common Logarithm (log10) function(s).
What are the other ways to Calculate Number of Stages?
Here are the different ways to Calculate Number of Stages-
  • 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))OpenImg
  • 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))OpenImg
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