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

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✖The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit.ⓘ Diffusion Coefficient (DAB) [D]			+10% -10%
✖Total Pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.ⓘ Total Pressure of Gas [P_t]			+10% -10%
✖The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.ⓘ Film Thickness [δ]			+10% -10%
✖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 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_b]			+10% -10%

✖Molar Flux of Diffusing Component A is the amount of substance per unit area per unit time.ⓘ Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF [N_a]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
N_a = ((D*P_t)/(δ))*((y_a1-y_a2)/y_b)
This formula uses 7 Variables

Variables Used

Molar Flux of Diffusing Component A - (Measured in Mole per Second Square Meter) - Molar Flux of Diffusing Component A is the amount of substance per unit area per unit time.
Diffusion Coefficient (DAB) - (Measured in Square Meter Per Second) - The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit.
Total Pressure of Gas - (Measured in Pascal) - Total Pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.
Film Thickness - (Measured in Meter) - The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Diffusion Coefficient (DAB): 0.007 Square Meter Per Second --> 0.007 Square Meter Per Second No Conversion Required
Total Pressure of Gas: 400000 Pascal --> 400000 Pascal No Conversion Required
Film Thickness: 0.005 Meter --> 0.005 Meter No Conversion Required
Mole Fraction of Component A in 1: 0.6 --> No Conversion Required
Mole Fraction of Component A in 2: 0.35 --> No Conversion Required
Log Mean Mole Fraction of B: 0.65 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_a = ((D*P_t)/(δ))*((y_a1-y_a2)/y_b) --> ((0.007*400000)/(0.005))*((0.6-0.35)/0.65)

Evaluating ... ...

N_a = 215384.615384615

STEP 3: Convert Result to Output's Unit

215384.615384615 Mole per Second Square Meter --> No Conversion Required

FINAL ANSWER

215384.615384615 ≈ 215384.6 Mole per Second Square Meter <-- Molar Flux of Diffusing Component A

(Calculation completed in 00.020 seconds)

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< Molar Diffusion Calculators

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

LaTeX 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 for Equimolar Diffusion with B based on Mole Fraction of A

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

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

LaTeX 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))

Convective Mass Transfer Coefficient

LaTeX Go Convective Mass Transfer Coefficient = Mass Flux of Diffusion Component A/(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)

< Steady State Diffusion Calculators

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

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

LaTeX 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

LaTeX 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 Concentration of A

LaTeX 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 Formula

LaTeX Go

What is Molar diffusion?

Molecular diffusion, often simply called diffusion, is the thermal motion of all (liquid or gas) particles at temperatures above absolute zero. The rate of this movement is a function of temperature, viscosity of the fluid and the size (mass) of the particles. Diffusion explains the net flux of molecules from a region of higher concentration to one of lower concentration. Once the concentrations are equal the molecules continue to move, but since there is no concentration gradient the process of molecular diffusion has ceased and is instead governed by the process of self-diffusion, originating from the random motion of the molecules. The result of diffusion is a gradual mixing of material such that the distribution of molecules is uniform. Since the molecules are still in motion, but an equilibrium has been established, the end result of molecular diffusion is called a "dynamic equilibrium".

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

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF calculator uses 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) to calculate the Molar Flux of Diffusing Component A, Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF is defined as the molar flux between gaseous components A and B when diffusion of diffusing component A takes place with non-diffusing component B. LMMF = Log Mean Mole Fraction. Molar Flux of Diffusing Component A is denoted by N_a symbol.

How to calculate Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF using this online calculator? To use this online calculator for Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF, enter Diffusion Coefficient (DAB) (D), Total Pressure of Gas (P_t), Film Thickness (δ), Mole Fraction of Component A in 1 (y_a1), Mole Fraction of Component A in 2 (y_a2) & Log Mean Mole Fraction of B (y_b) and hit the calculate button. Here is how the Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF calculation can be explained with given input values -> 8.076923 = ((0.007*400000)/(0.005))*((0.6-0.35)/0.65).

FAQ

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

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF is defined as the molar flux between gaseous components A and B when diffusion of diffusing component A takes place with non-diffusing component B. LMMF = Log Mean Mole Fraction and is represented as N_a = ((D*P_t)/(δ))*((y_a1-y_a2)/y_b) or 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). The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit, Total Pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container, The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film, 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 Log Mean Mole Fraction of B is the mole fraction of component B in terms of the logarithmic mean.

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

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF is defined as the molar flux between gaseous components A and B when diffusion of diffusing component A takes place with non-diffusing component B. LMMF = Log Mean Mole Fraction is calculated using 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). To calculate Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF, you need Diffusion Coefficient (DAB) (D), Total Pressure of Gas (P_t), Film Thickness (δ), Mole Fraction of Component A in 1 (y_a1), Mole Fraction of Component A in 2 (y_a2) & Log Mean Mole Fraction of B (y_b). With our tool, you need to enter the respective value for 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 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 Molar Flux of Diffusing Component A?

In this formula, Molar Flux of Diffusing Component A uses 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = ((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 = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*(Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)

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