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Number of Absorption Stages by Kremser Equation Formula

GoNumber of Stripping Stages by Kremser Equation Formula

GoNumber of Stages for Absorption Factor Equal to 1 Formula

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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 = \log 10 \frac{(\frac{Y N+1 - (α \cdot X 0)}{Y 1 - (α \cdot X 0)}) \cdot (1 - (\frac{1}{A})) + (\frac{1}{A})}{\log 10 (A)}

N - Number of Stages?Y_N+1 - Solute Free Mole Fraction of Gas in Inlet?α - Equilibrium Constant for Mass Transfer?X₀ - Solute Free Mole Fraction of Liquid in Inlet?Y₁ - Solute Free Mole Fraction of Gas in Outlet?A - Absorption Factor?

Number of Absorption Stages by Kremser Equation Example

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

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

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

2.3534 = \log 10 \frac{(\frac{0.8 - (1.5 \cdot 0.0099)}{0.1 - (1.5 \cdot 0.0099)}) \cdot (1 - (\frac{1}{2})) + (\frac{1}{2})}{\log 10 (2)}

2.3534 = \log 10 \frac{(\frac{0.8 - (1.5 \cdot 0.0099)}{0.1 - (1.5 \cdot 0.0099)}) \cdot (1 - (\frac{1}{2})) + (\frac{1}{2})}{\log 10 (2)}

2.3534 = \log 10 \frac{(\frac{0.8 - (1.5 \cdot 0.0099)}{0.1 - (1.5 \cdot 0.0099)}) \cdot (1 - (\frac{1}{2})) + (\frac{1}{2})}{\log 10 (2)}

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Number of Absorption Stages by Kremser Equation Solution

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

FIRST Step Consider the formula

N = \log 10 \frac{(\frac{Y N+1 - (α \cdot X 0)}{Y 1 - (α \cdot X 0)}) \cdot (1 - (\frac{1}{A})) + (\frac{1}{A})}{\log 10 (A)}

Next Step Substitute values of Variables

∴

N = \log 10 \frac{(\frac{0.8 - (1.5 \cdot 0.0099)}{0.1 - (1.5 \cdot 0.0099)}) \cdot (1 - (\frac{1}{2})) + (\frac{1}{2})}{\log 10 (2)}

Next Step Prepare to Evaluate

∴

N = \log 10 \frac{(\frac{0.8 - (1.5 \cdot 0.0099)}{0.1 - (1.5 \cdot 0.0099)}) \cdot (1 - (\frac{1}{2})) + (\frac{1}{2})}{\log 10 (2)}

Next Step Evaluate

∴

N = 2.35343436124061

LAST Step Rounding Answer

∴

N = 2.3534

Number of Absorption 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.

Formulas to find Number of Stages

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.

Symbol: Y_N+1

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Solute Free Mole Fraction of Gas in Inlet

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.

Formulas to find Equilibrium Constant for Mass Transfer

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.

Symbol: X₀

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Solute Free Mole Fraction of Liquid in Inlet

Solute Free Mole Fraction of Gas in Outlet

The Solute Free Mole Fraction of Gas in Outlet is the mole fraction of the solute in the exit gas stream of the column on solute free basis.

Symbol: Y₁

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Solute Free Mole Fraction of Gas in Outlet

Absorption Factor

The Absorption Factor is the ratio of slopes of operating line of absorption to the equilibrium line. If equilibrium line is a curve then the absorption factor is the average at the two ends.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Absorption Factor

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 Stripping Stages by Kremser Equation

N = \frac{\log 10 ((\frac{X 0(Stripping) - (\frac{Y N+1(Stripping)}{α})}{X N(Stripping) - (\frac{Y N+1(Stripping)}{α})}) \cdot (1 - (\frac{1}{S})) + (\frac{1}{S}))}{\log 10 (S)}

Go Number of Stages for Absorption Factor Equal to 1

N = \frac{Y N+1 - Y 1}{Y 1 - (α \cdot X 0)}

Other formulas in Gas Absorption category

Go Stripping Factor

S = \frac{α \cdot G s(Stripping)}{L s(Stripping)}

Go Stripping Factor given Absorption Factor

S = \frac{1}{A}

Go Absorption Factor

A = \frac{L s}{α \cdot G s}

Go Absorption Factor given Stripping Factor

A = \frac{1}{S}

How to Evaluate Number of Absorption Stages by Kremser Equation?

Number of Absorption Stages by Kremser Equation evaluator uses 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)) to evaluate the Number of Stages, The Number of Absorption Stages by Kremser Equation formula is defined as the calculation 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 Absorption Stages by Kremser Equation using this online evaluator? To use this online evaluator for Number of Absorption Stages by Kremser Equation, enter Solute Free Mole Fraction of Gas in Inlet (Y_N+1), Equilibrium Constant for Mass Transfer (α), Solute Free Mole Fraction of Liquid in Inlet (X₀), Solute Free Mole Fraction of Gas in Outlet (Y₁) & Absorption Factor (A) and hit the calculate button.

FAQs on Number of Absorption Stages by Kremser Equation

What is the formula to find Number of Absorption Stages by Kremser Equation?

The formula of Number of Absorption Stages by Kremser Equation is expressed as 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)). Here is an example- 2.355481 = log10(((0.8-(1.5*0.0099))/(0.1-(1.5*0.0099)))*(1-(1/2))+(1/2))/(log10(2)).

How to calculate Number of Absorption Stages by Kremser Equation?

With Solute Free Mole Fraction of Gas in Inlet (Y_N+1), Equilibrium Constant for Mass Transfer (α), Solute Free Mole Fraction of Liquid in Inlet (X₀), Solute Free Mole Fraction of Gas in Outlet (Y₁) & Absorption Factor (A) we can find Number of Absorption Stages by Kremser Equation using the formula - 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)). 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 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 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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Number of Absorption Stages by Kremser Equation Formula

​GoNumber of Stripping Stages by Kremser Equation Formula

​GoNumber of Stages for Absorption Factor Equal to 1 Formula

Number of Absorption Stages by Kremser Equation Example

Number of Absorption Stages by Kremser Equation Solution

Number of Absorption Stages by Kremser Equation Formula Elements

Other Formulas to find Number of Stages

Other formulas in Gas Absorption category

How to Evaluate Number of Absorption Stages by Kremser Equation?

FAQs on Number of Absorption Stages by Kremser Equation

Variable Name

GoNumber of Stripping Stages by Kremser Equation Formula

GoNumber of Stages for Absorption Factor Equal to 1 Formula