Total Steam Required to Vaporize Volatile Component Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Ms = (((P/(E*Pvaporvc))-1)*(mAi-mAf))+((P*mc/(E*Pvaporvc))*ln(mAi/mAf))
This formula uses 1 Functions, 7 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Total Steam Required to Vaporize Volatile Comp - (Measured in Mole) - The Total Steam Required to Vaporize Volatile Component in Steam Distillation is the number of moles of Steam Required to vaporize volatile component from initial to final moles.
Total Pressure of System - (Measured in Pascal) - The Total Pressure of System is the Total Pressure of the Steam Distillation System under Operation.
Vaporizing Efficiency - The Vaporizing Efficiency is the factor used to take into account the deviation for steam distillation not operating under equilibrium.
Vapor Pressure of Volatile Component - (Measured in Pascal) - The Vapor Pressure of Volatile Component is the vapor pressure exerted by the Volatile component in a mixture with non-volatiles.
Initial Moles of Volatile Component - (Measured in Mole) - The Initial Moles of Volatile Component is the number of moles of Volatile component present initially in the system.
Final Moles of Volatile Component - (Measured in Mole) - The Final Moles of Volatile Component is the amount of moles of volatile component present into the system after the Steam Distillation Process.
Moles of Non-Volatile Component - (Measured in Mole) - The Moles of Non-Volatile Component is the number of moles of non-volatile component present in a mixture of volatiles for Steam Distillation.
STEP 1: Convert Input(s) to Base Unit
Total Pressure of System: 100000 Pascal --> 100000 Pascal No Conversion Required
Vaporizing Efficiency: 0.75 --> No Conversion Required
Vapor Pressure of Volatile Component: 30000 Pascal --> 30000 Pascal No Conversion Required
Initial Moles of Volatile Component: 5.1 Mole --> 5.1 Mole No Conversion Required
Final Moles of Volatile Component: 0.63 Mole --> 0.63 Mole No Conversion Required
Moles of Non-Volatile Component: 2 Mole --> 2 Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ms = (((P/(E*Pvaporvc))-1)*(mAi-mAf))+((P*mc/(E*Pvaporvc))*ln(mAi/mAf)) --> (((100000/(0.75*30000))-1)*(5.1-0.63))+((100000*2/(0.75*30000))*ln(5.1/0.63))
Evaluating ... ...
Ms = 33.985786660683
STEP 3: Convert Result to Output's Unit
33.985786660683 Mole --> No Conversion Required
FINAL ANSWER
33.985786660683 33.98579 Mole <-- Total Steam Required to Vaporize Volatile Comp
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has created this Calculator and 300+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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5 Steam Distillation 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))
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)))
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))

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

Total Steam Required to Vaporize Volatile Component Formula

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))
Ms = (((P/(E*Pvaporvc))-1)*(mAi-mAf))+((P*mc/(E*Pvaporvc))*ln(mAi/mAf))

What is Steam Distillation?

Steam distillation is a separation process that consists of distilling water together with other volatile and non-volatile components. The steam from the boiling water carries the vapor of the volatiles to a condenser; both are cooled and return to the liquid or solid state, while the non-volatile residues remain behind in the boiling container. If, as is usually the case, the volatiles are not miscible with water, they will spontaneously form a distinct phase after condensation, allowing them to be separated by decantation or with a separatory funnel.

How to Calculate Total Steam Required to Vaporize Volatile Component?

Total Steam Required to Vaporize Volatile Component calculator uses 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)) to calculate the Total Steam Required to Vaporize Volatile Comp, The Total Steam Required to Vaporize Volatile Component formula is defined as the total requirement of steam to vaporize the volatile component from an initial mass to final mass of volatile component. Total Steam Required to Vaporize Volatile Comp is denoted by Ms symbol.

How to calculate Total Steam Required to Vaporize Volatile Component using this online calculator? To use this online calculator for Total Steam Required to Vaporize Volatile Component, enter Total Pressure of System (P), Vaporizing Efficiency (E), Vapor Pressure of Volatile Component (Pvaporvc), Initial Moles of Volatile Component (mAi), Final Moles of Volatile Component (mAf) & Moles of Non-Volatile Component (mc) and hit the calculate button. Here is how the Total Steam Required to Vaporize Volatile Component calculation can be explained with given input values -> 33.98579 = (((100000/(0.75*30000))-1)*(5.1-0.63))+((100000*2/(0.75*30000))*ln(5.1/0.63)).

FAQ

What is Total Steam Required to Vaporize Volatile Component?
The Total Steam Required to Vaporize Volatile Component formula is defined as the total requirement of steam to vaporize the volatile component from an initial mass to final mass of volatile component and is represented as Ms = (((P/(E*Pvaporvc))-1)*(mAi-mAf))+((P*mc/(E*Pvaporvc))*ln(mAi/mAf)) or 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)). The Total Pressure of System is the Total Pressure of the Steam Distillation System under Operation, The Vaporizing Efficiency is the factor used to take into account the deviation for steam distillation not operating under equilibrium, The Vapor Pressure of Volatile Component is the vapor pressure exerted by the Volatile component in a mixture with non-volatiles, The Initial Moles of Volatile Component is the number of moles of Volatile component present initially in the system, The Final Moles of Volatile Component is the amount of moles of volatile component present into the system after the Steam Distillation Process & The Moles of Non-Volatile Component is the number of moles of non-volatile component present in a mixture of volatiles for Steam Distillation.
How to calculate Total Steam Required to Vaporize Volatile Component?
The Total Steam Required to Vaporize Volatile Component formula is defined as the total requirement of steam to vaporize the volatile component from an initial mass to final mass of volatile component is calculated using 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)). To calculate Total Steam Required to Vaporize Volatile Component, you need Total Pressure of System (P), Vaporizing Efficiency (E), Vapor Pressure of Volatile Component (Pvaporvc), Initial Moles of Volatile Component (mAi), Final Moles of Volatile Component (mAf) & Moles of Non-Volatile Component (mc). With our tool, you need to enter the respective value for Total Pressure of System, Vaporizing Efficiency, Vapor Pressure of Volatile Component, Initial Moles of Volatile Component, Final Moles of Volatile Component & Moles of Non-Volatile Component 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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