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

STEP 0: Pre-Calculation Summary
Formula Used
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
xW = (F*xF-D*xD)/W
This formula uses 6 Variables
Variables Used
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.
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.
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.
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
Residue Flowrate from Distillation Column: 6 Mole per Second --> 6 Mole per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
xW = (F*xF-D*xD)/W --> (10*0.5-4.2*0.9)/6
Evaluating ... ...
xW = 0.203333333333333
STEP 3: Convert Result to Output's Unit
0.203333333333333 --> No Conversion Required
FINAL ANSWER
0.203333333333333 0.203333 <-- Mole Fraction of More Volatile Comp in Residue
(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

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

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

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

Mole Fraction of MVC in Residue from Overall Component Material Balance in Distillation calculator uses 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 to calculate the Mole Fraction of More Volatile Comp in Residue, The Mole Fraction of MVC in Residue from Overall Component Material Balance in Distillation is the mole fraction of more volatile component in the residue as a ratio of the difference of MVC in feed and distillate to the total molar residue. Mole Fraction of More Volatile Comp in Residue is denoted by xW symbol.

How to calculate Mole Fraction of MVC in Residue from Overall Component Material Balance in Distillation using this online calculator? To use this online calculator for Mole Fraction of MVC in Residue from Overall Component Material Balance in Distillation, enter Feed Flowrate to Distillation Column (F), Mole Fraction of More Volatile Component in Feed (xF), Distillate Flowrate (D), Mole Fraction of More Volatile Comp in Distillate (xD) & Residue Flowrate from Distillation Column (W) and hit the calculate button. Here is how the Mole Fraction of MVC in Residue from Overall Component Material Balance in Distillation calculation can be explained with given input values -> 0.203333 = (10*0.5-4.2*0.9)/6 .

FAQ

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