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Number of Stages for Absorption Factor Equal to 1 Formula

GoNumber of Stripping Stages by Kremser Equation Formula

GoNumber of Absorption Stages by Kremser Equation 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 = \frac{Y N+1 - Y 1}{Y 1 - (α \cdot X 0)}

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

Number of Stages for Absorption Factor Equal to 1 Example

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Here is how the Number of Stages for Absorption Factor Equal to 1 equation looks like with Units.

Here is how the Number of Stages for Absorption Factor Equal to 1 equation looks like.

8.2208 = \frac{0.8 - 0.1}{0.1 - (1.5 \cdot 0.0099)}

8.2208 = \frac{0.8 - 0.1}{0.1 - (1.5 \cdot 0.0099)}

8.2208 = \frac{0.8 - 0.1}{0.1 - (1.5 \cdot 0.0099)}

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Number of Stages for Absorption Factor Equal to 1 Solution

Follow our step by step solution on how to calculate Number of Stages for Absorption Factor Equal to 1?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = \frac{0.8 - 0.1}{0.1 - (1.5 \cdot 0.0099)}

Next Step Prepare to Evaluate

∴

N = \frac{0.8 - 0.1}{0.1 - (1.5 \cdot 0.0099)}

Next Step Evaluate

∴

N = 8.22078684674105

LAST Step Rounding Answer

∴

N = 8.2208

Number of Stages for Absorption Factor Equal to 1 Formula Elements

Variables

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

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

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

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 Absorption Stages by Kremser Equation

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)}

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 Stages for Absorption Factor Equal to 1?

Number of Stages for Absorption Factor Equal to 1 evaluator uses 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)) to evaluate the Number of Stages, The Number of Stages for Absorption Factor Equal to 1 formula is defined as formula to calculate the number of ideal stages required for absorption operation for absorption factor equal to 1, where Kremser-Sounders-Brown cannot be used. Number of Stages is denoted by N symbol.

How to evaluate Number of Stages for Absorption Factor Equal to 1 using this online evaluator? To use this online evaluator for Number of Stages for Absorption Factor Equal to 1, enter Solute Free Mole Fraction of Gas in Inlet (Y_N+1), Solute Free Mole Fraction of Gas in Outlet (Y₁), Equilibrium Constant for Mass Transfer (α) & Solute Free Mole Fraction of Liquid in Inlet (X₀) and hit the calculate button.

FAQs on Number of Stages for Absorption Factor Equal to 1

What is the formula to find Number of Stages for Absorption Factor Equal to 1?

The formula of Number of Stages for Absorption Factor Equal to 1 is expressed as 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)). Here is an example- 8.235294 = (0.8-0.1)/(0.1-(1.5*0.0099)).

How to calculate Number of Stages for Absorption Factor Equal to 1?

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

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=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))

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Number of Stages for Absorption Factor Equal to 1 Formula

​GoNumber of Stripping Stages by Kremser Equation Formula

​GoNumber of Absorption Stages by Kremser Equation Formula

Number of Stages for Absorption Factor Equal to 1 Example

Number of Stages for Absorption Factor Equal to 1 Solution

Number of Stages for Absorption Factor Equal to 1 Formula Elements

Other Formulas to find Number of Stages

Other formulas in Gas Absorption category

How to Evaluate Number of Stages for Absorption Factor Equal to 1?

FAQs on Number of Stages for Absorption Factor Equal to 1

Variable Name

GoNumber of Stripping Stages by Kremser Equation Formula

GoNumber of Absorption Stages by Kremser Equation Formula