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

STEP 0: Pre-Calculation Summary
Formula Used
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
F = (D*xD+W*xW)/xF
This formula uses 6 Variables
Variables Used
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.
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.
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.
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
Mole Fraction of More Volatile Component in Feed: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = (D*xD+W*xW)/xF --> (4.2*0.9+6*0.2103)/0.5
Evaluating ... ...
F = 10.0836
STEP 3: Convert Result to Output's Unit
10.0836 Mole per Second --> No Conversion Required
FINAL ANSWER
10.0836 Mole per Second <-- Feed Flowrate to Distillation Column
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Mishra
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 Feed Flowrate of Distillation Column from Overall Component Material Balance Formula

​LaTeX ​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
F = (D*xD+W*xW)/xF

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 Feed Flowrate of Distillation Column from Overall Component Material Balance?

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

How to calculate Total Feed Flowrate of Distillation Column from Overall Component Material Balance using this online calculator? To use this online calculator for Total Feed Flowrate of Distillation Column from Overall Component Material Balance, enter Distillate Flowrate (D), Mole Fraction of More Volatile Comp in Distillate (xD), Residue Flowrate from Distillation Column (W), Mole Fraction of More Volatile Comp in Residue (xW) & Mole Fraction of More Volatile Component in Feed (xF) and hit the calculate button. Here is how the Total Feed Flowrate of Distillation Column from Overall Component Material Balance calculation can be explained with given input values -> 8.76 = (4.2*0.9+6*0.2103)/0.5.

FAQ

What is Total Feed Flowrate of Distillation Column from Overall Component Material Balance?
The Total Feed Flowrate of Distillation Column from Overall Component Material Balance is the flowrate of more volatile component in the feed as a ratio of sum of MVC in distillate and residue to the mole fraction of MVC in feed and is represented as F = (D*xD+W*xW)/xF or 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. 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 & 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.
How to calculate Total Feed Flowrate of Distillation Column from Overall Component Material Balance?
The Total Feed Flowrate of Distillation Column from Overall Component Material Balance is the flowrate of more volatile component in the feed as a ratio of sum of MVC in distillate and residue to the mole fraction of MVC in feed is calculated using 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. To calculate Total Feed Flowrate of Distillation Column from Overall Component Material Balance, you need Distillate Flowrate (D), Mole Fraction of More Volatile Comp in Distillate (xD), Residue Flowrate from Distillation Column (W), Mole Fraction of More Volatile Comp in Residue (xW) & Mole Fraction of More Volatile Component in Feed (xF). 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 & Mole Fraction of More Volatile Component in Feed 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 Feed Flowrate to Distillation Column?
In this formula, Feed Flowrate to Distillation Column uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Feed Flowrate to Distillation Column = Distillate Flowrate+Residue Flowrate from Distillation Column
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