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Minimum Number of Distillation Stages by Fenske's Equation Formula

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The minimum number of stages in the distillation column is the minimum stages required to achieve a specified separation. Check FAQs

N m = (\frac{\log 10 (\frac{x D \cdot (1 - x W)}{x W \cdot (1 - x D)})}{\log 10 (α avg)}) - 1

N_m - Minimum Number of Stages?x_D - Mole Fraction of More Volatile Comp in Distillate?x_W - Mole Fraction of More Volatile Comp in Residue?α_avg - Average Relative Volatility?

Minimum Number of Distillation Stages by Fenske's Equation Example

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Here is how the Minimum Number of Distillation Stages by Fenske's Equation equation looks like with Values.

Here is how the Minimum Number of Distillation Stages by Fenske's Equation equation looks like with Units.

Here is how the Minimum Number of Distillation Stages by Fenske's Equation equation looks like.

2.0266 = (\frac{\log 10 (\frac{0.9 \cdot (1 - 0.2103)}{0.2103 \cdot (1 - 0.9)})}{\log 10 (3.2)}) - 1

2.0266 = (\frac{\log 10 (\frac{0.9 \cdot (1 - 0.2103)}{0.2103 \cdot (1 - 0.9)})}{\log 10 (3.2)}) - 1

2.0266 = (\frac{\log 10 (\frac{0.9 \cdot (1 - 0.2103)}{0.2103 \cdot (1 - 0.9)})}{\log 10 (3.2)}) - 1

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Minimum Number of Distillation Stages by Fenske's Equation Solution

Follow our step by step solution on how to calculate Minimum Number of Distillation Stages by Fenske's Equation?

FIRST Step Consider the formula

N m = (\frac{\log 10 (\frac{x D \cdot (1 - x W)}{x W \cdot (1 - x D)})}{\log 10 (α avg)}) - 1

Next Step Substitute values of Variables

∴

N m = (\frac{\log 10 (\frac{0.9 \cdot (1 - 0.2103)}{0.2103 \cdot (1 - 0.9)})}{\log 10 (3.2)}) - 1

Next Step Prepare to Evaluate

∴

N m = (\frac{\log 10 (\frac{0.9 \cdot (1 - 0.2103)}{0.2103 \cdot (1 - 0.9)})}{\log 10 (3.2)}) - 1

Next Step Evaluate

∴

N m = 2.02655734016058

LAST Step Rounding Answer

∴

N m = 2.0266

Minimum Number of Distillation Stages by Fenske's Equation Formula Elements

Variables

Functions

Minimum Number of Stages

The minimum number of stages in the distillation column is the minimum stages required to achieve a specified separation.

Symbol: N_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Minimum Number of Stages

Mole Fraction of More Volatile Comp in Distillate

The Mole Fraction of More Volatile comp in Distillate of Distillation Column is the mole fraction of More Volatile Component in the distillate stream of distillation column.

Symbol: x_D

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Mole Fraction of More Volatile Comp in Distillate

Mole Fraction of More Volatile Comp in Residue

The Mole Fraction of More Volatile comp in Residue of Distillation Column is the mole fraction of More Volatile Component in the residue stream of distillation column.

Symbol: x_W

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Mole Fraction of More Volatile Comp in Residue

Average Relative Volatility

The Average Relative Volatility is the ratio of the volatility of the More Volatile component to the volatility of the Less Volatile component, averaged at top and bottom column conditions.

Symbol: α_avg

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Average Relative Volatility

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 in Continuous Distillation category

Go Boil-Up Ratio

R v = \frac{V}{W}

Go External Reflux Ratio

R = \frac{L 0}{D}

Go Feed Q-Value in Distillation Column

q = \frac{H v-f}{λ}

Go Internal Reflux Ratio

R Internal = \frac{L}{D}

How to Evaluate Minimum Number of Distillation Stages by Fenske's Equation?

Minimum Number of Distillation Stages by Fenske's Equation evaluator uses Minimum Number of Stages = ((log10((Mole Fraction of More Volatile Comp in Distillate*(1-Mole Fraction of More Volatile Comp in Residue))/(Mole Fraction of More Volatile Comp in Residue*(1-Mole Fraction of More Volatile Comp in Distillate))))/(log10(Average Relative Volatility)))-1 to evaluate the Minimum Number of Stages, The Minimum Number of Distillation Stages by Fenske's Equation formula is defined as minimum number of stages required to achieve a specified separation in distillation column based on Fenske's method. Minimum Number of Stages is denoted by N_m symbol.

How to evaluate Minimum Number of Distillation Stages by Fenske's Equation using this online evaluator? To use this online evaluator for Minimum Number of Distillation Stages by Fenske's Equation, enter Mole Fraction of More Volatile Comp in Distillate (x_D), Mole Fraction of More Volatile Comp in Residue (x_W) & Average Relative Volatility (α_avg) and hit the calculate button.

FAQs on Minimum Number of Distillation Stages by Fenske's Equation

What is the formula to find Minimum Number of Distillation Stages by Fenske's Equation?

The formula of Minimum Number of Distillation Stages by Fenske's Equation is expressed as Minimum Number of Stages = ((log10((Mole Fraction of More Volatile Comp in Distillate*(1-Mole Fraction of More Volatile Comp in Residue))/(Mole Fraction of More Volatile Comp in Residue*(1-Mole Fraction of More Volatile Comp in Distillate))))/(log10(Average Relative Volatility)))-1. Here is an example- 2.778056 = ((log10((0.9*(1-0.2103))/(0.2103*(1-0.9))))/(log10(3.2)))-1.

How to calculate Minimum Number of Distillation Stages by Fenske's Equation?

With Mole Fraction of More Volatile Comp in Distillate (x_D), Mole Fraction of More Volatile Comp in Residue (x_W) & Average Relative Volatility (α_avg) we can find Minimum Number of Distillation Stages by Fenske's Equation using the formula - Minimum Number of Stages = ((log10((Mole Fraction of More Volatile Comp in Distillate*(1-Mole Fraction of More Volatile Comp in Residue))/(Mole Fraction of More Volatile Comp in Residue*(1-Mole Fraction of More Volatile Comp in Distillate))))/(log10(Average Relative Volatility)))-1. This formula also uses Common Logarithm (log10) function(s).

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Minimum Number of Distillation Stages by Fenske's Equation Formula

Minimum Number of Distillation Stages by Fenske's Equation Example

Minimum Number of Distillation Stages by Fenske's Equation Solution

Minimum Number of Distillation Stages by Fenske's Equation Formula Elements

Other formulas in Continuous Distillation category

How to Evaluate Minimum Number of Distillation Stages by Fenske's Equation?

FAQs on Minimum Number of Distillation Stages by Fenske's Equation

Variable Name