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

STEP 0: Pre-Calculation Summary
Formula Used
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
D = (F*xF-W*xW)/xD
This formula uses 6 Variables
Variables Used
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.
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.
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 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.
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
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 Comp in Distillate: 0.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (F*xF-W*xW)/xD --> (10*0.5-6*0.2103)/0.9
Evaluating ... ...
D = 4.15355555555556
STEP 3: Convert Result to Output's Unit
4.15355555555556 Mole per Second --> No Conversion Required
FINAL ANSWER
4.15355555555556 4.153556 Mole per Second <-- Distillate Flowrate
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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)
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)
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 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
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
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 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
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

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

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
D = (F*xF-W*xW)/xD

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 Distillate Flowrate of Distillation Column from Overall Component Material Balance?

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

How to calculate Total Distillate Flowrate of Distillation Column from Overall Component Material Balance using this online calculator? To use this online calculator for Total Distillate Flowrate of Distillation Column from Overall Component Material Balance, enter Feed Flowrate to Distillation Column (F), Mole Fraction of More Volatile Component in Feed (xF), Residue Flowrate from Distillation Column (W), Mole Fraction of More Volatile Comp in Residue (xW) & Mole Fraction of More Volatile Comp in Distillate (xD) and hit the calculate button. Here is how the Total Distillate Flowrate of Distillation Column from Overall Component Material Balance calculation can be explained with given input values -> 4.888889 = (10*0.5-6*0.2103)/0.9.

FAQ

What is Total Distillate Flowrate of Distillation Column from Overall Component Material Balance?
The Total Distillate Flowrate of Distillation Column from Overall Component Material Balance is the flowrate of more volatile component in the distillate as a ratio of difference of MVC in feed and residue to the mole fraction of MVC in distillate and is represented as D = (F*xF-W*xW)/xD or 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. 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 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 comp in Distillate of Distillation Column is the mole fraction of More Volatile Component in the distillate stream of distillation column.
How to calculate Total Distillate Flowrate of Distillation Column from Overall Component Material Balance?
The Total Distillate Flowrate of Distillation Column from Overall Component Material Balance is the flowrate of more volatile component in the distillate as a ratio of difference of MVC in feed and residue to the mole fraction of MVC in distillate is calculated using 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. To calculate Total Distillate 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 (xF), Residue Flowrate from Distillation Column (W), Mole Fraction of More Volatile Comp in Residue (xW) & Mole Fraction of More Volatile Comp in Distillate (xD). With our tool, you need to enter the respective value for 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 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 Distillate Flowrate?
In this formula, Distillate Flowrate uses 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. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Distillate Flowrate = Feed Flowrate to Distillation Column-Residue Flowrate from Distillation Column
  • 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)
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