Boil-Up Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Boil-Up Ratio = Boil-Up Flowrate to the Distillation Column/Residue Flowrate from Distillation Column
Rv = V/W
This formula uses 3 Variables
Variables Used
Boil-Up Ratio - The Boil-Up Ratio is defined as the ratio of molar flowrate of vapour leaving the reboiler back into the column to the molar flowrate of liquid drawn out as bottom product.
Boil-Up Flowrate to the Distillation Column - (Measured in Mole per Second) - The Boil-Up Flowrate to the Distillation Column is the vapour's molar flowrate, leaving the reboiler back into the 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
Boil-Up Flowrate to the Distillation Column: 11.2 Mole per Second --> 11.2 Mole per Second 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
Rv = V/W --> 11.2/6
Evaluating ... ...
Rv = 1.86666666666667
STEP 3: Convert Result to Output's Unit
1.86666666666667 --> No Conversion Required
FINAL ANSWER
1.86666666666667 1.866667 <-- Boil-Up Ratio
(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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13 Continuous Distillation Calculators

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
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
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
Internal Liquid Reflux Flowrate based on Internal Reflux Ratio
Go Internal Reflux Flowrate to Distillation Column = Internal Reflux Ratio*Distillate Flowrate from Distillation Column
Liquid Reflux Flowrate based on External Reflux Ratio
Go External Reflux Flowrate to Distillation Column = External Reflux Ratio*Distillate Flowrate from Distillation Column
Distillate Flowrate based on External Reflux Ratio
Go Distillate Flowrate from Distillation Column = External Reflux Flowrate to Distillation Column/External Reflux Ratio
Distillate Flowrate based on Internal Reflux Ratio
Go Distillate Flowrate from Distillation Column = Internal Reflux Flowrate to Distillation Column/Internal Reflux Ratio
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
Bottom Product based on Boil-up Ratio
Go Residue Flowrate from Distillation Column = Boil-Up Flowrate to the Distillation Column/Boil-Up Ratio
Vapor Reflux based on Boil-Up Ratio
Go Boil-Up Flowrate to the Distillation Column = Boil-Up Ratio*Residue Flowrate from Distillation Column
Boil-Up Ratio
Go Boil-Up Ratio = Boil-Up Flowrate to the Distillation Column/Residue Flowrate from Distillation Column
Overall Efficiency of Distillation Column
Go Overall Efficiency of Distillation Column = (Ideal Number of Plates/Actual Number of Plates)*100

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
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)
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

Boil-Up Ratio Formula

Boil-Up Ratio = Boil-Up Flowrate to the Distillation Column/Residue Flowrate from Distillation Column
Rv = V/W

What is the importance of Reflux Ratio in Distillation Column?

If reflux ratio is reduced (or if distillate rate D is increased compared to L) the more stages are required. Further reduction in Reflux Ratio leads to a point where infinite stages are required. This condition is known as minimum reflux. Any Increase in Reflux ratio above this point gives a workable system, upto the point where the reflux ratio reaches infinity and minimum number of stages are required, this condition is known as Total Reflux.

What is the effect of Reflux Ratio on Distillation Operation?

Distillation process is done to achieve a specific level of enrichment. To achieve this enrichment level, one must specify a reflux ratio. Decreasing that reflux ratio (i.e, increasing D), has an advantage that the duty of condenser and reboiler decreases, since the load in distillation column decreases (more mass goes out as D increases) . In other sense, the operating cost of distillation column decreases. However, it would be at expense of less enrichment achieved than required. Increasing reflux ratio would act in reverse i.e, it would have a disadvantage of increase in duty of condenser and reboiler as load increases. This increases the operation cost of distillation column; however, more enrichment is achieved.

How to Calculate Boil-Up Ratio?

Boil-Up Ratio calculator uses Boil-Up Ratio = Boil-Up Flowrate to the Distillation Column/Residue Flowrate from Distillation Column to calculate the Boil-Up Ratio, The Boil-Up Ratio formula is defined as the ratio of the moles of vapour leaving the reboiler back into the distillation column to the moles of liquid drawn out as bottom product from the distillation column. Boil-Up Ratio is denoted by Rv symbol.

How to calculate Boil-Up Ratio using this online calculator? To use this online calculator for Boil-Up Ratio, enter Boil-Up Flowrate to the Distillation Column (V) & Residue Flowrate from Distillation Column (W) and hit the calculate button. Here is how the Boil-Up Ratio calculation can be explained with given input values -> 1.866667 = 11.2/6.

FAQ

What is Boil-Up Ratio?
The Boil-Up Ratio formula is defined as the ratio of the moles of vapour leaving the reboiler back into the distillation column to the moles of liquid drawn out as bottom product from the distillation column and is represented as Rv = V/W or Boil-Up Ratio = Boil-Up Flowrate to the Distillation Column/Residue Flowrate from Distillation Column. The Boil-Up Flowrate to the Distillation Column is the vapour's molar flowrate, leaving the reboiler back into the 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 Boil-Up Ratio?
The Boil-Up Ratio formula is defined as the ratio of the moles of vapour leaving the reboiler back into the distillation column to the moles of liquid drawn out as bottom product from the distillation column is calculated using Boil-Up Ratio = Boil-Up Flowrate to the Distillation Column/Residue Flowrate from Distillation Column. To calculate Boil-Up Ratio, you need Boil-Up Flowrate to the Distillation Column (V) & Residue Flowrate from Distillation Column (W). With our tool, you need to enter the respective value for Boil-Up Flowrate to the Distillation Column & 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.
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