Log Mean Driving Force Based on Mole Fraction Calculator

✖Solute Gas Mole Fraction represents the mole fraction of the solute gas in the bottom of the column.ⓘ Solute Gas Mole Fraction [y₁]			+10% -10%
✖Solute Gas Mole Fraction at Top represents the mole fraction of the solute gas in the top most section of column.ⓘ Solute Gas Mole Fraction at Top [y₂]			+10% -10%
✖Gas Concentration at Equilibrium represents the mole fraction of solute gas that could be in equilibrium with the liquid concentration at any point.ⓘ Gas Concentration at Equilibrium [y_e]			+10% -10%

✖Log Mean Driving Force represents the effective driving force for mass transfer in these processes.ⓘ Log Mean Driving Force Based on Mole Fraction [Δy_lm]

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Log Mean Driving Force Based on Mole Fraction

Formula

`"Δy"_{"lm"} = ("y"_{"1"}-"y"_{"2"})/(ln(("y"_{"1"}-"y"_{"e"})/("y"_{"2"}-"y"_{"e"})))`

Example

`"0.159882"=("0.64"-"0.32")/(ln(("0.64"-"0.27")/("0.32"-"0.27")))`

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Log Mean Driving Force Based on Mole Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Log Mean Driving Force = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(ln((Solute Gas Mole Fraction-Gas Concentration at Equilibrium)/(Solute Gas Mole Fraction at Top-Gas Concentration at Equilibrium)))
Δy_lm = (y₁-y₂)/(ln((y₁-y_e)/(y₂-y_e)))
This formula uses 1 Functions, 4 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

Log Mean Driving Force - Log Mean Driving Force represents the effective driving force for mass transfer in these processes.
Solute Gas Mole Fraction - Solute Gas Mole Fraction represents the mole fraction of the solute gas in the bottom of the column.
Solute Gas Mole Fraction at Top - Solute Gas Mole Fraction at Top represents the mole fraction of the solute gas in the top most section of column.
Gas Concentration at Equilibrium - Gas Concentration at Equilibrium represents the mole fraction of solute gas that could be in equilibrium with the liquid concentration at any point.

STEP 1: Convert Input(s) to Base Unit

Solute Gas Mole Fraction: 0.64 --> No Conversion Required
Solute Gas Mole Fraction at Top: 0.32 --> No Conversion Required
Gas Concentration at Equilibrium: 0.27 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δy_lm = (y₁-y₂)/(ln((y₁-y_e)/(y₂-y_e))) --> (0.64-0.32)/(ln((0.64-0.27)/(0.32-0.27)))

Evaluating ... ...

Δy_lm = 0.159881687534427

STEP 3: Convert Result to Output's Unit

0.159881687534427 --> No Conversion Required

FINAL ANSWER

0.159881687534427 ≈ 0.159882 <-- Log Mean Driving Force

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Column Design » Packed Column Designing » Log Mean Driving Force Based on Mole Fraction

Credits

Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

Rishi Vadodaria has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 16 Packed Column Designing Calculators

Effective Interfacial Area of Packing using Onda's Method

Go Effective Interfacial Area = Interfacial Area per Volume*(1-exp((-1.45*((Critical Surface Tension/Liquid Surface Tension)^0.75)*(Liquid Mass Flux/(Interfacial Area per Volume*Fluid Viscosity in Packed Column))^0.1)*(((Liquid Mass Flux)^2*Interfacial Area per Volume)/((Liquid Density)^2*[g]))^-0.05)*(Liquid Mass Flux^2/(Liquid Density*Interfacial Area per Volume*Liquid Surface Tension))^0.2)

Liquid Mass Film Coefficient in Packed Columns

Go Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3)

Log Mean Driving Force Based on Mole Fraction

Go Log Mean Driving Force = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(ln((Solute Gas Mole Fraction-Gas Concentration at Equilibrium)/(Solute Gas Mole Fraction at Top-Gas Concentration at Equilibrium)))

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor

Go Pressure Drop Correlation Factor = (13.1*((Gas Mass Flux)^2)*Packing Factor*((Fluid Viscosity in Packed Column/Liquid Density)^0.1))/((Vapor Density in Packed Column)*(Liquid Density-Vapor Density in Packed Column))

Interfacial Area given Height of Transfer Unit and Mass Transfer Coefficient

Go Interfacial Area per Volume = (Molar Gas Flowrate)/(Height of Transfer Unit*Overall Gas Phase Mass Transfer Coefficient*Total Pressure)

Overall Gas Mass Transfer Coefficient given Height of Transfer Unit

Go Overall Gas Phase Mass Transfer Coefficient = (Molar Gas Flowrate)/(Height of Transfer Unit*Interfacial Area per Volume*Total Pressure)

Height of Overall Gas Phase Transfer Unit in Packed Column

Go Height of Transfer Unit = (Molar Gas Flowrate)/(Overall Gas Phase Mass Transfer Coefficient*Interfacial Area per Volume*Total Pressure)

Gas Molar Flux given Height of Transfer Unit and Interfacial Area

Go Molar Gas Flowrate = Height of Transfer Unit*(Overall Gas Phase Mass Transfer Coefficient*Interfacial Area per Volume*Total Pressure)

HETP of Packed Columns using 25 and 50mm Raschig Rings

Go Height Equivalent to Theoretical Plate = 18*Diameter of Rings+12*(Average Equilibrium Slope)*((Gas Flow/Liquid Mass Flowrate)-1)

Number of Transfer Units for Dilute System in Packed Column

Go Number Of Transfer Units-Nog = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(Log Mean Driving Force)

Gas Film Mass Transfer Coefficient given Column Performance and Interfacial Area

Go Gas Film Transfer Coefficient = (Column Performance*Molar Gas Flowrate)/(Interfacial Area per Volume)

Performance of Column Given Gas-Film Transfer Coefficient and Vapor Flowrate

Go Column Performance = (Gas Film Transfer Coefficient*Interfacial Area per Volume)/Molar Gas Flowrate

Interfacial Area of Packing Given Performance of Column and Gas Flowrate

Go Interfacial Area per Volume = (Column Performance*Molar Gas Flowrate)/Gas Film Transfer Coefficient

Gas Flowrate given Column Performance and Interfacial Area

Go Molar Gas Flowrate = (Gas Film Transfer Coefficient*Interfacial Area per Volume)/Column Performance

Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop

Go Average Pressure Drop = ((0.5*(Top Bed Pressure Drop)^0.5)+(0.5*(Bottom Bed Pressure Drop)^0.5))^2

Performance of Column for Known Value of Height of Transfer Unit

Go Column Performance = 1/Height of Transfer Unit

Log Mean Driving Force Based on Mole Fraction Formula

What is Log Mean Driving Force?

The Log Mean Driving Force (LMDF) is a concept used in the design and analysis of absorption and distillation columns. It represents the effective driving force for mass transfer in these processes. In absorption, it's used to calculate the concentration difference between the gas and liquid phases, which drives the transfer of solute from the gas phase to the liquid phase.

How to Calculate Log Mean Driving Force Based on Mole Fraction?

Log Mean Driving Force Based on Mole Fraction calculator uses Log Mean Driving Force = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(ln((Solute Gas Mole Fraction-Gas Concentration at Equilibrium)/(Solute Gas Mole Fraction at Top-Gas Concentration at Equilibrium))) to calculate the Log Mean Driving Force, The Log Mean Driving Force Based on Mole Fraction formula is an effective means to quantify the driving force for mass transfer in the absorption column. Log Mean Driving Force is denoted by Δy_lm symbol.

How to calculate Log Mean Driving Force Based on Mole Fraction using this online calculator? To use this online calculator for Log Mean Driving Force Based on Mole Fraction, enter Solute Gas Mole Fraction (y₁), Solute Gas Mole Fraction at Top (y₂) & Gas Concentration at Equilibrium (y_e) and hit the calculate button. Here is how the Log Mean Driving Force Based on Mole Fraction calculation can be explained with given input values -> 0.159882 = (0.64-0.32)/(ln((0.64-0.27)/(0.32-0.27))).

FAQ

What is Log Mean Driving Force Based on Mole Fraction?

The Log Mean Driving Force Based on Mole Fraction formula is an effective means to quantify the driving force for mass transfer in the absorption column and is represented as Δy_lm = (y₁-y₂)/(ln((y₁-y_e)/(y₂-y_e))) or Log Mean Driving Force = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(ln((Solute Gas Mole Fraction-Gas Concentration at Equilibrium)/(Solute Gas Mole Fraction at Top-Gas Concentration at Equilibrium))). Solute Gas Mole Fraction represents the mole fraction of the solute gas in the bottom of the column, Solute Gas Mole Fraction at Top represents the mole fraction of the solute gas in the top most section of column & Gas Concentration at Equilibrium represents the mole fraction of solute gas that could be in equilibrium with the liquid concentration at any point.

How to calculate Log Mean Driving Force Based on Mole Fraction?

The Log Mean Driving Force Based on Mole Fraction formula is an effective means to quantify the driving force for mass transfer in the absorption column is calculated using Log Mean Driving Force = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(ln((Solute Gas Mole Fraction-Gas Concentration at Equilibrium)/(Solute Gas Mole Fraction at Top-Gas Concentration at Equilibrium))). To calculate Log Mean Driving Force Based on Mole Fraction, you need Solute Gas Mole Fraction (y₁), Solute Gas Mole Fraction at Top (y₂) & Gas Concentration at Equilibrium (y_e). With our tool, you need to enter the respective value for Solute Gas Mole Fraction, Solute Gas Mole Fraction at Top & Gas Concentration at Equilibrium 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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