Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Na = ((D*Pt)/([R]*T*δ))*(ya1-ya2)
This formula uses 1 Constants, 7 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
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.
Temperature of Gas - (Measured in Kelvin) - The Temperature of Gas is the measure of the hotness or coldness of a gas.
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.
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
Temperature of Gas: 298 Kelvin --> 298 Kelvin 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Na = ((D*Pt)/([R]*T*δ))*(ya1-ya2) --> ((0.007*400000)/([R]*298*0.005))*(0.6-0.35)
Evaluating ... ...
Na = 56.50379095967
STEP 3: Convert Result to Output's Unit
56.50379095967 Mole per Second Square Meter --> No Conversion Required
FINAL ANSWER
56.50379095967 56.50379 Mole per Second Square Meter <-- Molar Flux of Diffusing Component A
(Calculation completed in 00.020 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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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)

Equimolar Counter Diffusion Calculators

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 for Equimolar Diffusion with B based on Partial Pressure of A
​ LaTeX ​ Go Molar Flux of Diffusing Component A = (Diffusion Coefficient (DAB)/([R]*Temperature of Gas*Film Thickness))*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)
Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Concentration of A
​ LaTeX ​ Go Molar Flux of Diffusing Component A = (Diffusion Coefficient (DAB)/(Film Thickness))*(Concentration of Component A in 1-Concentration of Component A in 2)

Important Formulas in Diffusion Calculators

Diffusivity by Stefan Tube Method
​ LaTeX ​ Go Diffusion Coefficient (DAB) = ([R]*Temperature of Gas*Log Mean Partial Pressure of B*Density of Liquid*(Height of Column 1^2-Height of Column 2^2))/(2*Total Pressure of Gas*Molecular Weight A*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)*Diffusion Time)
Diffusivity by Twin Bulb Method
​ LaTeX ​ Go Diffusion Coefficient (DAB) = ((Length of Tube/(Inner Cross Section Area*Diffusion Time))*(ln(Total Pressure of Gas/(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2))
Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity
​ LaTeX ​ Go Diffusion Coefficient (DAB) = ((1.0133*(10^(-7))*(Temperature of Gas^1.75))/(Total Pressure of Gas*(((Total Atomic Diffusion Volume A^(1/3))+(Total Atomic Diffusion Volume B^(1/3)))^2)))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2))
Chapman Enskog Equation for Gas Phase Diffusivity
​ LaTeX ​ Go Diffusion Coefficient (DAB) = (1.858*(10^(-7))*(Temperature of Gas^(3/2))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)))/(Total Pressure of Gas*Characteristic Length Parameter^2*Collision Integral)

Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A Formula

​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)
Na = ((D*Pt)/([R]*T*δ))*(ya1-ya2)

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

Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A calculator uses 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) to calculate the Molar Flux of Diffusing Component A, The Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A is defined as the molar flux between gaseous components A and B when equimolar diffusion takes place between components A and B. Molar Flux of Diffusing Component A is denoted by Na symbol.

How to calculate Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A using this online calculator? To use this online calculator for Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A, enter Diffusion Coefficient (DAB) (D), Total Pressure of Gas (Pt), Temperature of Gas (T), Film Thickness (δ), Mole Fraction of Component A in 1 (ya1) & Mole Fraction of Component A in 2 (ya2) and hit the calculate button. Here is how the Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A calculation can be explained with given input values -> 0.002119 = ((0.007*400000)/([R]*298*0.005))*(0.6-0.35).

FAQ

What is Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A?
The Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A is defined as the molar flux between gaseous components A and B when equimolar diffusion takes place between components A and B and is represented as Na = ((D*Pt)/([R]*T*δ))*(ya1-ya2) or 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). 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 Temperature of Gas is the measure of the hotness or coldness of a gas, 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.
How to calculate Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A?
The Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A is defined as the molar flux between gaseous components A and B when equimolar diffusion takes place between components A and B is calculated using 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). To calculate Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A, you need Diffusion Coefficient (DAB) (D), Total Pressure of Gas (Pt), Temperature of Gas (T), Film Thickness (δ), Mole Fraction of Component A in 1 (ya1) & Mole Fraction of Component A in 2 (ya2). With our tool, you need to enter the respective value for Diffusion Coefficient (DAB), Total Pressure of Gas, Temperature of Gas, Film Thickness, Mole Fraction of Component A in 1 & Mole Fraction of Component A in 2 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, Temperature of Gas, Film Thickness, Mole Fraction of Component A in 1 & Mole Fraction of Component A in 2. 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^2))/(Film Thickness))*((Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/Log Mean Partial Pressure of B)
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