Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization Calculator

✖Normal Boiling Point of Component 1 refers to the temperature at which the vapor pressure of that component equals atmospheric pressure at sea level.ⓘ Normal Boiling Point of Component 1 [T_b1]			+10% -10%
✖Normal Boiling Point of Component 2 refers to the temperature at which the vapor pressure of that component equals atmospheric pressure at sea level.ⓘ Normal Boiling Point of Component 2 [T_b2]			+10% -10%
✖Latent Heat of Vaporization of Component 1 is the amount of heat energy required to convert a unit mass of the substance from a liquid to a vapor (gas) at a constant temperature and pressure.ⓘ Latent Heat of Vaporization of Component 1 [L₁]			+10% -10%
✖Latent Heat of Vaporization of Component 2 is the amount of heat energy required to convert a unit mass of the substance from a liquid to a vapor (gas) at a constant temperature and pressure.ⓘ Latent Heat of Vaporization of Component 2 [L₂]			+10% -10%

✖Relative Volatility describes the difference in vapor pressures between two components in a liquid mixture.ⓘ Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization [α]

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Formula

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Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization

Formula

`"α" = exp(0.25164*((1/"T"_{"b1"})-(1/"T"_{"b2"}))*("L"_{"1"}+"L"_{"2"}))`

Example

`"1.656712"=exp(0.25164*((1/"390K")-(1/"430K"))*("1.00001Kcal/kg"+"1.0089Kcal/kg"))`

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Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Volatility = exp(0.25164*((1/Normal Boiling Point of Component 1)-(1/Normal Boiling Point of Component 2))*(Latent Heat of Vaporization of Component 1+Latent Heat of Vaporization of Component 2))
α = exp(0.25164*((1/T_b1)-(1/T_b2))*(L₁+L₂))
This formula uses 1 Functions, 5 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Relative Volatility - Relative Volatility describes the difference in vapor pressures between two components in a liquid mixture.
Normal Boiling Point of Component 1 - (Measured in Kelvin) - Normal Boiling Point of Component 1 refers to the temperature at which the vapor pressure of that component equals atmospheric pressure at sea level.
Normal Boiling Point of Component 2 - (Measured in Kelvin) - Normal Boiling Point of Component 2 refers to the temperature at which the vapor pressure of that component equals atmospheric pressure at sea level.
Latent Heat of Vaporization of Component 1 - (Measured in Joule per Kilogram) - Latent Heat of Vaporization of Component 1 is the amount of heat energy required to convert a unit mass of the substance from a liquid to a vapor (gas) at a constant temperature and pressure.
Latent Heat of Vaporization of Component 2 - (Measured in Joule per Kilogram) - Latent Heat of Vaporization of Component 2 is the amount of heat energy required to convert a unit mass of the substance from a liquid to a vapor (gas) at a constant temperature and pressure.

STEP 1: Convert Input(s) to Base Unit

Normal Boiling Point of Component 1: 390 Kelvin --> 390 Kelvin No Conversion Required
Normal Boiling Point of Component 2: 430 Kelvin --> 430 Kelvin No Conversion Required
Latent Heat of Vaporization of Component 1: 1.00001 Kilocalorie per Kilogram --> 4186.84186799993 Joule per Kilogram (Check conversion here)
Latent Heat of Vaporization of Component 2: 1.0089 Kilocalorie per Kilogram --> 4224.06251999993 Joule per Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = exp(0.25164*((1/T_b1)-(1/T_b2))*(L₁+L₂)) --> exp(0.25164*((1/390)-(1/430))*(4186.84186799993+4224.06251999993))

Evaluating ... ...

α = 1.65671184114765

STEP 3: Convert Result to Output's Unit

1.65671184114765 --> No Conversion Required

FINAL ANSWER

1.65671184114765 ≈ 1.656712 <-- Relative Volatility

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Column Design » Distillation Tower Design » Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization

Go Relative Volatility = exp(0.25164*((1/Normal Boiling Point of Component 1)-(1/Normal Boiling Point of Component 2))*(Latent Heat of Vaporization of Component 1+Latent Heat of Vaporization of Component 2))

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities

Go Maximum Allowable Vapor Velocity = (-0.171*(Plate Spacing)^2+0.27*Plate Spacing-0.047)*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity

Go Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity))

Tower Cross Sectional Area given Gas Volumetric Flow and Flooding Velocity

Go Tower Cross Sectional Area = Volumetric Gas Flow/((Fractional Approach to Flooding Velocity*Flooding Velocity)*(1-Fractional Downcomer Area))

Minimum External Reflux given Compositions

Go External Reflux Ratio = (Distillate Composition-Equilibrium Vapor Composition)/(Equilibrium Vapor Composition-Equilibrium Liquid Composition)

Maximum Allowable Mass Velocity using Bubble Cap Trays

Go Maximum Allowable Mass Velocity = Entrainment Factor*(Vapor Density in Distillation*(Liquid Density-Vapor Density in Distillation)^(1/2))

Minimum Internal Reflux given Compositions

Go Internal Reflux Ratio = (Distillate Composition-Equilibrium Vapor Composition)/(Distillate Composition-Equilibrium Liquid Composition)

Dry Plate Pressure Drop in Distillation Column Design

Go Dry Plate Head Loss = 51*((Vapor Velocity Based on Hole Area/Orifice Coefficient)^2)*(Vapor Density in Distillation/Liquid Density)

Flooding Velocity in Distillation Column Design

Go Flooding Velocity = Capacity Factor*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5

Weep Point Velocity in Distillation Column Design

Go Weep Point Vapor Velocity Based on Hole Area = (Weep Point Correlation Constant-0.90*(25.4-Hole Diameter))/((Vapor Density in Distillation)^0.5)

Liquid Vapor Flow Factor in Distillation Column Design

Go Flow Factor = (Liquid Mass Flowrate/Vapor Mass Flowrate)*((Vapor Density in Distillation/Liquid Density)^0.5)

Downcomer Residence Time in Distillation Column

Go Residence Time = (Downcomer Area*Clear Liquid Backup*Liquid Density)/Liquid Mass Flowrate

Internal Reflux Ratio Based on Liquid and Distillate Flowrates

Go Internal Reflux Ratio = Liquid Reflux Flowrate/(Liquid Reflux Flowrate+Distillate Flowrate)

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

Go Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2)

Head Loss in Downcomer of Tray Tower

Go Downcomer Headloss = 166*((Liquid Mass Flowrate/(Liquid Density*Downcomer Area)))^2

Height of Liquid Crest over Weir

Go Weir Crest = (750/1000)*((Liquid Mass Flowrate/(Weir Length*Liquid Density))^(2/3))

Active Area given Gas Volumetric Flow and Flow Velocity

Go Active Area = Volumetric Gas Flow/(Fractional Downcomer Area*Flooding Velocity)

Fractional Downcomer Area given Total Cross Sectional Area

Go Fractional Downcomer Area = 2*(Downcomer Area/Tower Cross Sectional Area)

Fractional Active Area given Downcomer Area and Total Column Area

Go Fractional Active Area = 1-2*(Downcomer Area/Tower Cross Sectional Area)

Internal Reflux Ratio Given External Reflux Ratio

Go Internal Reflux Ratio = External Reflux Ratio/(External Reflux Ratio+1)

Tower Cross Sectional Area given Fractional Active Area

Go Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)

Tower Cross Sectional Area given Active Area

Go Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)

Clearance Area under Downcomer given Weir Length and Apron Height

Go Clearance Area Under Downcomer = Apron Height*Weir Length

Fractional Active Area given Fractional Downcomer Area

Go Fractional Active Area = 1-Fractional Downcomer Area

Residual Head Loss in Pressure in Distillation Column

Go Residual Head Loss = (12.5*10^3)/Liquid Density

Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization Formula

What is the Significance of Relative Volatility?

Relative volatility is fundamental in designing and optimizing distillation and fractionation processes. It helps determine the number of theoretical trays or the height of a distillation column required for efficient separation.
Relative volatility influences the selectivity of a separation process. When components have significantly different relative volatilities, it becomes easier to separate them effectively.

How to Calculate Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization?

Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization calculator uses Relative Volatility = exp(0.25164*((1/Normal Boiling Point of Component 1)-(1/Normal Boiling Point of Component 2))*(Latent Heat of Vaporization of Component 1+Latent Heat of Vaporization of Component 2)) to calculate the Relative Volatility, The Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization formula is a measure of how easily one component vaporizes compared to another. Relative Volatility is denoted by α symbol.

How to calculate Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization using this online calculator? To use this online calculator for Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization, enter Normal Boiling Point of Component 1 (T_b1), Normal Boiling Point of Component 2 (T_b2), Latent Heat of Vaporization of Component 1 (L₁) & Latent Heat of Vaporization of Component 2 (L₂) and hit the calculate button. Here is how the Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization calculation can be explained with given input values -> 1.656712 = exp(0.25164*((1/390)-(1/430))*(4186.84186799993+4224.06251999993)).

FAQ

What is Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization?

The Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization formula is a measure of how easily one component vaporizes compared to another and is represented as α = exp(0.25164*((1/T_b1)-(1/T_b2))*(L₁+L₂)) or Relative Volatility = exp(0.25164*((1/Normal Boiling Point of Component 1)-(1/Normal Boiling Point of Component 2))*(Latent Heat of Vaporization of Component 1+Latent Heat of Vaporization of Component 2)). Normal Boiling Point of Component 1 refers to the temperature at which the vapor pressure of that component equals atmospheric pressure at sea level, Normal Boiling Point of Component 2 refers to the temperature at which the vapor pressure of that component equals atmospheric pressure at sea level, Latent Heat of Vaporization of Component 1 is the amount of heat energy required to convert a unit mass of the substance from a liquid to a vapor (gas) at a constant temperature and pressure & Latent Heat of Vaporization of Component 2 is the amount of heat energy required to convert a unit mass of the substance from a liquid to a vapor (gas) at a constant temperature and pressure.

How to calculate Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization?

The Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization formula is a measure of how easily one component vaporizes compared to another is calculated using Relative Volatility = exp(0.25164*((1/Normal Boiling Point of Component 1)-(1/Normal Boiling Point of Component 2))*(Latent Heat of Vaporization of Component 1+Latent Heat of Vaporization of Component 2)). To calculate Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization, you need Normal Boiling Point of Component 1 (T_b1), Normal Boiling Point of Component 2 (T_b2), Latent Heat of Vaporization of Component 1 (L₁) & Latent Heat of Vaporization of Component 2 (L₂). With our tool, you need to enter the respective value for Normal Boiling Point of Component 1, Normal Boiling Point of Component 2, Latent Heat of Vaporization of Component 1 & Latent Heat of Vaporization of Component 2 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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