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

✖The Feed flowrate to Distillation Column is the amount of moles of feed flowing in the column per unit time.ⓘ Feed Flowrate to Distillation Column [F]			+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 More Volatile Component in Feed [x_F]			+10% -10%
✖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 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 Residue flowrate from Distillation Column is the amount of moles of bottom liquid product (Residue) flowing out from the column per unit time.ⓘ Total Residue Flowrate of Distillation Column from Overall Component Material Balance [W]

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

STEP 0: Pre-Calculation Summary

Formula Used

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
W = (F*x_F-D*x_D)/x_W
This formula uses 6 Variables

Variables Used

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.
Feed Flowrate to Distillation Column - (Measured in Mole per Second) - The Feed flowrate to Distillation Column is the amount of moles of feed flowing in the column per unit time.
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.
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

Feed Flowrate to Distillation Column: 10 Mole per Second --> 10 Mole per Second No Conversion Required
Mole Fraction of More Volatile Component in Feed: 0.5 --> No Conversion Required
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
Mole Fraction of More Volatile Comp in Residue: 0.2103 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (F*x_F-D*x_D)/x_W --> (10*0.5-4.2*0.9)/0.2103

Evaluating ... ...

W = 5.80123632905373

STEP 3: Convert Result to Output's Unit

5.80123632905373 Mole per Second --> No Conversion Required

FINAL ANSWER

5.80123632905373 ≈ 5.801236 Mole per Second <-- Residue Flowrate from Distillation Column

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Distillation » Material Balance » Total Residue Flowrate of Distillation Column from Overall Component Material Balance

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DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< Material Balance Calculators

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

LaTeX 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)/Feed Flowrate to Distillation Column

Total Distillate Flowrate of Distillation Column from Overall Material Balance

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

Total Residue Flowrate of Distillation Column from Overall Material Balance

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

Total Feed Flowrate of Distillation Column from Overall Material Balance

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

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

LaTeX Go

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.

How to Calculate Total Residue Flowrate of Distillation Column from Overall Component Material Balance?

Total Residue Flowrate of Distillation Column from Overall Component Material Balance calculator uses 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 to calculate the Residue Flowrate from Distillation Column, The Total Residue Flowrate of Distillation Column from Overall Component Material Balance is the flowrate of more volatile component in the residue as a ratio of difference of MVC in feed and distillate to the mole fraction of MVC in residue. Residue Flowrate from Distillation Column is denoted by W symbol.

How to calculate Total Residue Flowrate of Distillation Column from Overall Component Material Balance using this online calculator? To use this online calculator for Total Residue Flowrate of Distillation Column from Overall Component Material Balance, enter Feed Flowrate to Distillation Column (F), Mole Fraction of More Volatile Component in Feed (x_F), Distillate Flowrate (D), Mole Fraction of More Volatile Comp in Distillate (x_D) & Mole Fraction of More Volatile Comp in Residue (x_W) and hit the calculate button. Here is how the Total Residue Flowrate of Distillation Column from Overall Component Material Balance calculation can be explained with given input values -> 12.2 = (10*0.5-4.2*0.9)/0.2103.

FAQ

What is Total Residue Flowrate of Distillation Column from Overall Component Material Balance?

The Total Residue Flowrate of Distillation Column from Overall Component Material Balance is the flowrate of more volatile component in the residue as a ratio of difference of MVC in feed and distillate to the mole fraction of MVC in residue and is represented as W = (F*x_F-D*x_D)/x_W or 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. The Feed flowrate to Distillation Column is the amount of moles of feed flowing in the column per unit time, 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, 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 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 Total Residue Flowrate of Distillation Column from Overall Component Material Balance?

The Total Residue Flowrate of Distillation Column from Overall Component Material Balance is the flowrate of more volatile component in the residue as a ratio of difference of MVC in feed and distillate to the mole fraction of MVC in residue is calculated using 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. To calculate Total Residue Flowrate of Distillation Column from Overall Component Material Balance, you need Feed Flowrate to Distillation Column (F), Mole Fraction of More Volatile Component in Feed (x_F), Distillate Flowrate (D), Mole Fraction of More Volatile Comp in Distillate (x_D) & Mole Fraction of More Volatile Comp in Residue (x_W). With our tool, you need to enter the respective value for 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 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 Residue Flowrate from Distillation Column?

In this formula, Residue Flowrate from Distillation Column uses 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. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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