Log Mean Mole Fraction of B Calculator

✖The Mole Fraction of component A in 1 is the variable which measures the mole fraction of component A in the mixture on the feed side of the diffusing component.ⓘ Mole Fraction of Component A in 1 [y_A1]			+10% -10%
✖The Mole Fraction of component A in 2 is the variable which measures the mole fraction of component A in the mixture on the other side of the diffusing component.ⓘ Mole Fraction of Component A in 2 [y_A2]			+10% -10%
✖The Mole Fraction of component B in 2 is the variable which measures the mole fraction of component B in the mixture on the other side of the diffusing component.ⓘ Mole Fraction of Component B in 2 [y_B2]			+10% -10%
✖The Mole Fraction of component B in 1 is the variable which measures the mole fraction of component B in the mixture on the feed side of the diffusing component.ⓘ Mole Fraction of Component B in 1 [y_B1]			+10% -10%

✖The Log Mean Mole Fraction of B is the Mole Fraction of component B in terms of the logarithmic mean.ⓘ Log Mean Mole Fraction of B [y_BLM]

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Formula

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Log Mean Mole Fraction of B

Formula

`"y"_{"BLM"} = ("y"_{"A1"}-"y"_{"A2"})/ln("y"_{"B2"}/"y"_{"B1"})`

Example

`"0.180337"=("0.6"-"0.35")/ln("0.4"/"0.1")`

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Log Mean Mole Fraction of B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Log Mean Mole Fraction of B = (Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/ln(Mole Fraction of Component B in 2/Mole Fraction of Component B in 1)
y_BLM = (y_A1-y_A2)/ln(y_B2/y_B1)
This formula uses 1 Functions, 5 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 Mole Fraction of B - The Log Mean Mole Fraction of B is the Mole Fraction of component B in terms of the logarithmic mean.
Mole Fraction of Component A in 1 - The Mole Fraction of component A in 1 is the variable which measures the mole fraction of component A in the mixture on the feed side of the diffusing component.
Mole Fraction of Component A in 2 - The Mole Fraction of component A in 2 is the variable which measures the mole fraction of component A in the mixture on the other side of the diffusing component.
Mole Fraction of Component B in 2 - The Mole Fraction of component B in 2 is the variable which measures the mole fraction of component B in the mixture on the other side of the diffusing component.
Mole Fraction of Component B in 1 - The Mole Fraction of component B in 1 is the variable which measures the mole fraction of component B in the mixture on the feed side of the diffusing component.

STEP 1: Convert Input(s) to Base Unit

Mole Fraction of Component A in 1: 0.6 --> No Conversion Required
Mole Fraction of Component A in 2: 0.35 --> No Conversion Required
Mole Fraction of Component B in 2: 0.4 --> No Conversion Required
Mole Fraction of Component B in 1: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y_BLM = (y_A1-y_A2)/ln(y_B2/y_B1) --> (0.6-0.35)/ln(0.4/0.1)

Evaluating ... ...

y_BLM = 0.18033688011112

STEP 3: Convert Result to Output's Unit

0.18033688011112 --> No Conversion Required

FINAL ANSWER

0.18033688011112 ≈ 0.180337 <-- Log Mean Mole Fraction of B

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Diffusion » Steady State Diffusion » Log Mean Mole Fraction of B

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Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< 9 Steady State Diffusion Calculators

Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*ln((Total Pressure of Gas-Partial Pressure of Component A in 2)/(Total Pressure of Gas-Partial Pressure of Component A in 1))

Molar Flux of Diffusing Component A through Non-Diffusing B based on Log Mean Partial Pressure

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*((Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)/Log Mean Partial Pressure of B)

Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of B

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*ln(Partial Pressure of Component B in 2/Partial Pressure of Component B in 1)

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMPP

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*(Total Pressure of Gas^2))/(Film Thickness))*((Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/Log Mean Partial Pressure of B)

Molar Flux of Diffusing Component A through Non-Diffusing B based on Concentration of A

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*((Concentration of Component A in 1-Concentration of Component A in 2)/Log Mean Partial Pressure of B)

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*((Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/Log Mean Mole Fraction of B)

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*ln((1-Mole Fraction of Component A in 2)/(1-Mole Fraction of Component A in 1))

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of B

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*ln(Mole Fraction of Component B in 2/Mole Fraction of Component B in 1)

Log Mean Mole Fraction of B

Go Log Mean Mole Fraction of B = (Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/ln(Mole Fraction of Component B in 2/Mole Fraction of Component B in 1)

Log Mean Mole Fraction of B Formula

What is Mole Fraction?

Mole fraction represents the number of molecules of a particular component in a mixture divided by the total number of moles in the given mixture.

What is Logarithmic Mean?

In mathematics, the logarithmic mean is a function of two non-negative numbers which is equal to their difference divided by the logarithm of their quotient. This calculation is applicable in engineering problems involving heat and mass transfer.

How to Calculate Log Mean Mole Fraction of B?

Log Mean Mole Fraction of B calculator uses Log Mean Mole Fraction of B = (Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/ln(Mole Fraction of Component B in 2/Mole Fraction of Component B in 1) to calculate the Log Mean Mole Fraction of B, The Log Mean Mole Fraction of B formula is defined as the logarithmic average of mole fraction of a component between mixtures and is used to determine the concentration driving force for mass transfer in gas mixtures. Log Mean Mole Fraction of B is denoted by y_BLM symbol.

How to calculate Log Mean Mole Fraction of B using this online calculator? To use this online calculator for Log Mean Mole Fraction of B, enter Mole Fraction of Component A in 1 (y_A1), Mole Fraction of Component A in 2 (y_A2), Mole Fraction of Component B in 2 (y_B2) & Mole Fraction of Component B in 1 (y_B1) and hit the calculate button. Here is how the Log Mean Mole Fraction of B calculation can be explained with given input values -> 0.180337 = (0.6-0.35)/ln(0.4/0.1).

FAQ

What is Log Mean Mole Fraction of B?

The Log Mean Mole Fraction of B formula is defined as the logarithmic average of mole fraction of a component between mixtures and is used to determine the concentration driving force for mass transfer in gas mixtures and is represented as y_BLM = (y_A1-y_A2)/ln(y_B2/y_B1) or Log Mean Mole Fraction of B = (Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/ln(Mole Fraction of Component B in 2/Mole Fraction of Component B in 1). The Mole Fraction of component A in 1 is the variable which measures the mole fraction of component A in the mixture on the feed side of the diffusing component, The Mole Fraction of component A in 2 is the variable which measures the mole fraction of component A in the mixture on the other side of the diffusing component, The Mole Fraction of component B in 2 is the variable which measures the mole fraction of component B in the mixture on the other side of the diffusing component & The Mole Fraction of component B in 1 is the variable which measures the mole fraction of component B in the mixture on the feed side of the diffusing component.

How to calculate Log Mean Mole Fraction of B?

The Log Mean Mole Fraction of B formula is defined as the logarithmic average of mole fraction of a component between mixtures and is used to determine the concentration driving force for mass transfer in gas mixtures is calculated using Log Mean Mole Fraction of B = (Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/ln(Mole Fraction of Component B in 2/Mole Fraction of Component B in 1). To calculate Log Mean Mole Fraction of B, you need Mole Fraction of Component A in 1 (y_A1), Mole Fraction of Component A in 2 (y_A2), Mole Fraction of Component B in 2 (y_B2) & Mole Fraction of Component B in 1 (y_B1). With our tool, you need to enter the respective value for Mole Fraction of Component A in 1, Mole Fraction of Component A in 2, Mole Fraction of Component B in 2 & Mole Fraction of Component B in 1 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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