Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation Calculator

✖The Distillate flowrate from Distillation Column is the amount of moles of condensed top product (distillate) flowing out from the column per unit time.ⓘ Distillate Flowrate [D]			+10% -10%
✖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.ⓘ Mole Fraction of More Volatile Comp in Distillate [x_D]			+10% -10%
✖The Residue flowrate from Distillation Column is the amount of moles of bottom liquid product (Residue) flowing out from the column per unit time.ⓘ Residue Flowrate from Distillation Column [W]			+10% -10%
✖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.ⓘ Mole Fraction of More Volatile Comp in Residue [x_W]			+10% -10%

✖The Mole Fraction of More Volatile component in Feed of Distillation Column is the mole fraction of More Volatile Component in the feed stream of distillation column.ⓘ Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation [x_F]

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Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation

Formula

`"x"_{"F"} = ("D"*"x"_{"D"}+"W"*"x"_{"W"})/("D"+"W")`

Example

`"0.494294"=("4.2mol/s"*"0.9"+"6mol/s"*"0.2103")/("4.2mol/s"+"6mol/s")`

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Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mole Fraction of More Volatile Component in Feed = (Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate+Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/(Distillate Flowrate+Residue Flowrate from Distillation Column)
x_F = (D*x_D+W*x_W)/(D+W)
This formula uses 5 Variables

Variables Used

Mole Fraction of More Volatile Component in Feed - The Mole Fraction of More Volatile component in Feed of Distillation Column is the mole fraction of More Volatile Component in the feed stream of distillation column.
Distillate Flowrate - (Measured in Mole per Second) - The Distillate flowrate from Distillation Column is the amount of moles of condensed top product (distillate) flowing out from the column per unit time.
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.
Residue Flowrate from Distillation Column - (Measured in Mole per Second) - The Residue flowrate from Distillation Column is the amount of moles of bottom liquid product (Residue) flowing out from the column per unit time.
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.

STEP 1: Convert Input(s) to Base Unit

Distillate Flowrate: 4.2 Mole per Second --> 4.2 Mole per Second No Conversion Required
Mole Fraction of More Volatile Comp in Distillate: 0.9 --> No Conversion Required
Residue Flowrate from Distillation Column: 6 Mole per Second --> 6 Mole per Second No Conversion Required
Mole Fraction of More Volatile Comp in Residue: 0.2103 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x_F = (D*x_D+W*x_W)/(D+W) --> (4.2*0.9+6*0.2103)/(4.2+6)

Evaluating ... ...

x_F = 0.494294117647059

STEP 3: Convert Result to Output's Unit

0.494294117647059 --> No Conversion Required

FINAL ANSWER

0.494294117647059 ≈ 0.494294 <-- Mole Fraction of More Volatile Component in Feed

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< 14 Material Balance Calculators

Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation

Go Mole Fraction of More Volatile Component in Feed = (Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate+Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/(Distillate Flowrate+Residue Flowrate from Distillation Column)

Mole Fraction of MVC in Distillate from Overall and Component Material Balance in Distillation

Go Mole Fraction of More Volatile Comp in Distillate = Mole Fraction of More Volatile Component in Feed+(Residue Flowrate from Distillation Column/Distillate Flowrate)*(Mole Fraction of More Volatile Component in Feed-Mole Fraction of More Volatile Comp in Residue)

Total Distillate Flowrate of Distillation Column from Overall and Component Material Balance

Go Distillate Flowrate = Residue Flowrate from Distillation Column*(Mole Fraction of More Volatile Comp in Residue-Mole Fraction of More Volatile Component in Feed)/(Mole Fraction of More Volatile Component in Feed-Mole Fraction of More Volatile Comp in Distillate)

Mole Fraction of MVC in Residue from Overall and Component Material Balance in Distillation

Go Mole Fraction of More Volatile Comp in Residue = Mole Fraction of More Volatile Component in Feed+(Distillate Flowrate/Residue Flowrate from Distillation Column)*(Mole Fraction of More Volatile Component in Feed-Mole Fraction of More Volatile Comp in Distillate)

Total Residue Flowrate of Distillation Column from Overall and Component Material Balance

Go Residue Flowrate from Distillation Column = Distillate Flowrate*(Mole Fraction of More Volatile Comp in Distillate-Mole Fraction of More Volatile Component in Feed)/(Mole Fraction of More Volatile Component in Feed-Mole Fraction of More Volatile Comp in Residue)

Mole Fraction of MVC in Distillate from Overall Component Material Balance in Distillation

Go Mole Fraction of More Volatile Comp in Distillate = (Feed Flowrate to Distillation Column*Mole Fraction of More Volatile Component in Feed-Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/Distillate Flowrate

Total Distillate Flowrate of Distillation Column from Overall Component Material Balance

Go Distillate Flowrate = (Feed Flowrate to Distillation Column*Mole Fraction of More Volatile Component in Feed-Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/Mole Fraction of More Volatile Comp in Distillate

Mole Fraction of MVC in Residue from Overall Component Material Balance in Distillation

Go Mole Fraction of More Volatile Comp in Residue = (Feed Flowrate to Distillation Column*Mole Fraction of More Volatile Component in Feed-Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate)/Residue Flowrate from Distillation Column

Total Residue Flowrate of Distillation Column from Overall Component Material Balance

Go Residue Flowrate from Distillation Column = (Feed Flowrate to Distillation Column*Mole Fraction of More Volatile Component in Feed-Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate)/Mole Fraction of More Volatile Comp in Residue

Mole Fraction of MVC in Feed from Overall Component Material Balance in Distillation

Total Feed Flowrate of Distillation Column from Overall Component Material Balance

Go Feed Flowrate to Distillation Column = (Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate+Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/Mole Fraction of More Volatile Component in Feed

Total Distillate Flowrate of Distillation Column from Overall Material Balance

Go Distillate Flowrate = Feed Flowrate to Distillation Column-Residue Flowrate from Distillation Column

Total Residue Flowrate of Distillation Column from Overall Material Balance

Go Residue Flowrate from Distillation Column = Feed Flowrate to Distillation Column-Distillate Flowrate

Total Feed Flowrate of Distillation Column from Overall Material Balance

Go Feed Flowrate to Distillation Column = Distillate Flowrate+Residue Flowrate from Distillation Column

< 20 Important Formulas in Distillation Mass Transfer Operation Calculators

Total Steam Required to Vaporize Volatile Component

Go Total Steam Required to Vaporize Volatile Comp = (((Total Pressure of System/(Vaporizing Efficiency*Vapor Pressure of Volatile Component))-1)*(Initial Moles of Volatile Component-Final Moles of Volatile Component))+((Total Pressure of System*Moles of Non-Volatile Component/(Vaporizing Efficiency*Vapor Pressure of Volatile Component))*ln(Initial Moles of Volatile Component/Final Moles of Volatile Component))

Moles of Volatile component Volatilized from mixture of Non-Volatiles by Steam

Go Moles of Volatile Component = Moles of Steam*((Vaporizing Efficiency*Mole Fraction of Volatile Comp in Non-Volatiles*Vapor Pressure of Volatile Component)/(Total Pressure of System-Vaporizing Efficiency*Mole Fraction of Volatile Comp in Non-Volatiles*Vapor Pressure of Volatile Component))

Minimum Number of Distillation Stages by Fenske's Equation

Go 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

Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation

Moles of Volatile component Volatilized from mixture of Non-Volatiles by Steam at Equilibrium

Go Moles of Volatile Component = Moles of Steam*(Mole Fraction of Volatile Comp in Non-Volatiles*Vapor Pressure of Volatile Component/(Total Pressure of System-Mole Fraction of Volatile Comp in Non-Volatiles*Vapor Pressure of Volatile Component))

Moles of Volatile component Volatilized by Steam with Trace amounts of Non-Volatiles

Go Moles of Volatile Component = Moles of Steam*((Vaporizing Efficiency*Vapor Pressure of Volatile Component)/(Total Pressure of System-(Vaporizing Efficiency*Vapor Pressure of Volatile Component)))

Murphree Efficiency of Distillation Column Based on Vapour Phase

Go Murphree Efficiency of Distillation 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

Relative Volatility using Mole Fraction

Go Relative Volatility = (Mole Fraction of Component in Vapor Phase/(1-Mole Fraction of Component in Vapor Phase))/(Mole Fraction of Component in Liquid Phase/(1-Mole Fraction of Component in Liquid Phase))

Total Pressure using Mole Fraction and Saturated Pressure

Go Total Pressure of Gas = (Mole Fraction of MVC in Liq Phase*Partial Pressure of More Volatile Component)+((1-Mole Fraction of MVC in Liq Phase)*Partial Pressure of Less Volatile Component)

Moles of Volatile component Volatilized by Steam with Trace amounts of Non-Volatiles at Equilibrium

Go Moles of Volatile Component = Moles of Steam*(Vapor Pressure of Volatile Component/(Total Pressure of System-Vapor Pressure of Volatile Component))

Feed Q-Value in Distillation Column

Go Q-value in Mass Transfer = Heat Required to Convert Feed to Saturated Vapor/Molal Latent Heat of Vaporization of Saturated Liq

Relative Volatility using Vapour Pressure

Go Relative Volatility = Saturated Vapour Pressure of More Volatile Comp/Saturated Vapour Pressure of Less Volatile Comp

External Reflux Ratio

Go External Reflux Ratio = External Reflux Flowrate to Distillation Column/Distillate Flowrate from Distillation Column

Internal Reflux Ratio

Go Internal Reflux Ratio = Internal Reflux Flowrate to Distillation Column/Distillate Flowrate from Distillation Column

Equilibrium Vaporization Ratio for Less Volatile Component

Go Equilibrium Vaporization Ratio of LVC = Mole Fraction of LVC in Vapor Phase/Mole Fraction of LVC in Liquid Phase

Equilibrium Vaporization Ratio for More Volatile Component

Go Equilibrium Vaporization Ratio of MVC = Mole Fraction of MVC in Vapor Phase/Mole Fraction of MVC in Liquid Phase

Boil-Up Ratio

Go Boil-Up Ratio = Boil-Up Flowrate to the Distillation Column/Residue Flowrate from Distillation Column

Total Feed Flowrate of Distillation Column from Overall Material Balance

Go Feed Flowrate to Distillation Column = Distillate Flowrate+Residue Flowrate from Distillation Column

Relative Volatility using Equilibrium Vaporization Ratio

Go Relative Volatility = Equilibrium Vaporization Ratio of MVC/Equilibrium Vaporization Ratio of LVC

Overall Efficiency of Distillation Column

Go Overall Efficiency of Distillation Column = (Ideal Number of Plates/Actual Number of Plates)*100

Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation Formula

What is Distillation Process?

Distillation is a process of separating two or more components utilizing the application of heat that would exploit differences in their relative volatility. In other words, the distillation process involves converting a liquid into a vapour that is subsequently condensed back to liquid form and herby separates one component from another.

What is Mass Transfer?

Mass transfer is the transport of components under a chemical potential gradient. The component moves in the direction of reducing concentration gradient. The transport occurs from a region of higher concentration to a lower concentration.
Mass transfer is the transport of components under a chemical potential gradient. The component moves in the direction of reducing concentration gradient. The transport occurs from a region of higher concentration to a lower concentration.

How to Calculate Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation?

Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation calculator uses Mole Fraction of More Volatile Component in Feed = (Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate+Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/(Distillate Flowrate+Residue Flowrate from Distillation Column) to calculate the Mole Fraction of More Volatile Component in Feed, The Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation formula is defined as the fraction of feed flow in moles that will be fed to the Distillation Column as per Material Balances. Mole Fraction of More Volatile Component in Feed is denoted by x_F symbol.

How to calculate Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation using this online calculator? To use this online calculator for Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation, enter Distillate Flowrate (D), Mole Fraction of More Volatile Comp in Distillate (x_D), Residue Flowrate from Distillation Column (W) & Mole Fraction of More Volatile Comp in Residue (x_W) and hit the calculate button. Here is how the Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation calculation can be explained with given input values -> 0.429412 = (4.2*0.9+6*0.2103)/(4.2+6).

FAQ

What is Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation?

The Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation formula is defined as the fraction of feed flow in moles that will be fed to the Distillation Column as per Material Balances and is represented as x_F = (D*x_D+W*x_W)/(D+W) or Mole Fraction of More Volatile Component in Feed = (Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate+Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/(Distillate Flowrate+Residue Flowrate from Distillation Column). The Distillate flowrate from Distillation Column is the amount of moles of condensed top product (distillate) flowing out from the column per unit time, 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, The Residue flowrate from Distillation Column is the amount of moles of bottom liquid product (Residue) flowing out from the column per unit time & 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.

How to calculate Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation?

The Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation formula is defined as the fraction of feed flow in moles that will be fed to the Distillation Column as per Material Balances is calculated using Mole Fraction of More Volatile Component in Feed = (Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate+Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/(Distillate Flowrate+Residue Flowrate from Distillation Column). To calculate Mole Fraction of MVC in Feed from Overall and Component Material Balance in Distillation, you need Distillate Flowrate (D), Mole Fraction of More Volatile Comp in Distillate (x_D), Residue Flowrate from Distillation Column (W) & Mole Fraction of More Volatile Comp in Residue (x_W). With our tool, you need to enter the respective value for Distillate Flowrate, Mole Fraction of More Volatile Comp in Distillate, Residue Flowrate from Distillation Column & Mole Fraction of More Volatile Comp in Residue 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 Mole Fraction of More Volatile Component in Feed?

In this formula, Mole Fraction of More Volatile Component in Feed uses Distillate Flowrate, Mole Fraction of More Volatile Comp in Distillate, Residue Flowrate from Distillation Column & Mole Fraction of More Volatile Comp in Residue. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mole Fraction of More Volatile Component in Feed = (Distillate Flowrate*Mole Fraction of More Volatile Comp in Distillate+Residue Flowrate from Distillation Column*Mole Fraction of More Volatile Comp in Residue)/Feed Flowrate to Distillation Column

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