Relative Volatility using Mole Fraction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
α = (yGas/(1-yGas))/(xLiquid/(1-xLiquid))
This formula uses 3 Variables
Variables Used
Relative Volatility - Relative Volatility is a measure comparing the vapor pressures of the components in a liquid mixture of chemicals. This quantity is widely used in designing large industrial distillation processes.
Mole Fraction of Component in Vapor Phase - The Mole Fraction of Component in Vapor Phase can be defined as the ratio of the number of moles a component to the total number of moles of components present in the vapor phase.
Mole Fraction of Component in Liquid Phase - The Mole Fraction of Component in Liquid Phase can be defined as the ratio of the number of moles a component to the total number of moles of components present in the liquid phase.
STEP 1: Convert Input(s) to Base Unit
Mole Fraction of Component in Vapor Phase: 0.3 --> No Conversion Required
Mole Fraction of Component in Liquid Phase: 0.51 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = (yGas/(1-yGas))/(xLiquid/(1-xLiquid)) --> (0.3/(1-0.3))/(0.51/(1-0.51))
Evaluating ... ...
α = 0.411764705882353
STEP 3: Convert Result to Output's Unit
0.411764705882353 --> No Conversion Required
FINAL ANSWER
0.411764705882353 0.411765 <-- Relative Volatility
(Calculation completed in 00.004 seconds)

Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
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Delhi Technological University (DTU), delhi
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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)
Relative Volatility using Vapour Pressure
Go Relative Volatility = Saturated Vapour Pressure of More Volatile Comp/Saturated Vapour Pressure of Less Volatile Comp
Mole Fraction of MVC in Liquid using Equilibrium Vaporization Ratio
Go Mole Fraction of MVC in Liquid Phase = Mole Fraction of MVC in Vapor Phase/Equilibrium Vaporization Ratio of MVC
Mole Fraction of LVC in Liquid using Equilibrium Vaporization Ratio
Go Mole Fraction of LVC in Liquid Phase = Mole Fraction of LVC in Vapor Phase/Equilibrium Vaporization Ratio of LVC
Mole Fraction of MVC in Vapor using Equilibrium Vaporization Ratio
Go Mole Fraction of MVC in Vapor Phase = Equilibrium Vaporization Ratio of MVC*Mole Fraction of MVC in Liquid Phase
Mole Fraction of LVC in Vapor using Equilibrium Vaporization Ratio
Go Mole Fraction of LVC in Vapor Phase = Equilibrium Vaporization Ratio of LVC*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
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
Relative Volatility using Equilibrium Vaporization Ratio
Go Relative Volatility = Equilibrium Vaporization Ratio of MVC/Equilibrium Vaporization Ratio of LVC

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

Relative Volatility using Mole Fraction Formula

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))
α = (yGas/(1-yGas))/(xLiquid/(1-xLiquid))

What is Relative Volatility?

Relative volatility is a measure comparing the vapor pressures of the components in a liquid mixture of chemicals. It indicates the ease or difficulty of using distillation to separate the more volatile components from the less volatile components in a mixture.

What is Mass Transfer?

Mass transfer is a transport of components under a chemical potential gradient. The component moves to the direction of reducing concentration gradient. The transport occurs from a region of higher concentration to lower concentration.

How to Calculate Relative Volatility using Mole Fraction?

Relative Volatility using Mole Fraction calculator uses 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)) to calculate the Relative Volatility, The Relative volatility using mole fraction formula is used to indicate the ease or difficulty of using distillation to separate the components from the mixture. Relative Volatility is denoted by α symbol.

How to calculate Relative Volatility using Mole Fraction using this online calculator? To use this online calculator for Relative Volatility using Mole Fraction, enter Mole Fraction of Component in Vapor Phase (yGas) & Mole Fraction of Component in Liquid Phase (xLiquid) and hit the calculate button. Here is how the Relative Volatility using Mole Fraction calculation can be explained with given input values -> 0.667664 = (0.3/(1-0.3))/(0.51/(1-0.51)).

FAQ

What is Relative Volatility using Mole Fraction?
The Relative volatility using mole fraction formula is used to indicate the ease or difficulty of using distillation to separate the components from the mixture and is represented as α = (yGas/(1-yGas))/(xLiquid/(1-xLiquid)) or 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)). The Mole Fraction of Component in Vapor Phase can be defined as the ratio of the number of moles a component to the total number of moles of components present in the vapor phase & The Mole Fraction of Component in Liquid Phase can be defined as the ratio of the number of moles a component to the total number of moles of components present in the liquid phase.
How to calculate Relative Volatility using Mole Fraction?
The Relative volatility using mole fraction formula is used to indicate the ease or difficulty of using distillation to separate the components from the mixture is calculated using 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)). To calculate Relative Volatility using Mole Fraction, you need Mole Fraction of Component in Vapor Phase (yGas) & Mole Fraction of Component in Liquid Phase (xLiquid). With our tool, you need to enter the respective value for Mole Fraction of Component in Vapor Phase & Mole Fraction of Component in Liquid Phase 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 Relative Volatility?
In this formula, Relative Volatility uses Mole Fraction of Component in Vapor Phase & Mole Fraction of Component in Liquid Phase. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Relative Volatility = Saturated Vapour Pressure of More Volatile Comp/Saturated Vapour Pressure of Less Volatile Comp
  • Relative Volatility = Equilibrium Vaporization Ratio of MVC/Equilibrium Vaporization Ratio of LVC
  • Relative Volatility = Equilibrium Vaporization Ratio of MVC/Equilibrium Vaporization Ratio of LVC
  • Relative Volatility = Saturated Vapour Pressure of More Volatile Comp/Saturated Vapour Pressure of Less Volatile Comp
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