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Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A 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 Temperature of Gas is the measure of the hotness or coldness of a gas.ⓘ Temperature of Gas [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 Partial Pressure of Component A in 2 is the variable which measures the partial pressure of component A in the mixture on the other side of the diffusing component.ⓘ Partial Pressure of Component A in 2 [P_a2]			+10% -10%
✖The Partial Pressure of Component A in 1 is the variable which measures the partial pressure of component A in the mixture on the feed side of the diffusing component.ⓘ Partial Pressure of Component A in 1 [P_a1]			+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 Partial Pressure of A [N_a]

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Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure 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))*ln((Total Pressure of Gas-Partial Pressure of Component A in 2)/(Total Pressure of Gas-Partial Pressure of Component A in 1))
N_a = ((D*P_t)/([R]*T*δ))*ln((P_t-P_a2)/(P_t-P_a1))
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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

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.
Partial Pressure of Component A in 2 - (Measured in Pascal) - The Partial Pressure of Component A in 2 is the variable which measures the partial pressure of component A in the mixture on the other side of the diffusing component.
Partial Pressure of Component A in 1 - (Measured in Pascal) - The Partial Pressure of Component A in 1 is the variable which measures the partial pressure of component A in the mixture on the feed 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
Partial Pressure of Component A in 2: 11416 Pascal --> 11416 Pascal No Conversion Required
Partial Pressure of Component A in 1: 300000 Pascal --> 300000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_a = ((D*P_t)/([R]*T*δ))*ln((P_t-P_a2)/(P_t-P_a1)) --> ((0.007*400000)/([R]*298*0.005))*ln((400000-11416)/(400000-300000))

Evaluating ... ...

N_a = 306.779236398479

STEP 3: Convert Result to Output's Unit

306.779236398479 Mole per Second Square Meter --> No Conversion Required

FINAL ANSWER

306.779236398479 ≈ 306.7792 Mole per Second Square Meter <-- Molar Flux of Diffusing Component A

(Calculation completed in 00.021 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)

< 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 through Non-Diffusing B based on Partial Pressure of A 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 Partial Pressure of A?

Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A calculator uses 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)) to calculate the Molar Flux of Diffusing Component A, Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A 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. 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 Partial Pressure of A using this online calculator? To use this online calculator for Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A, enter Diffusion Coefficient (DAB) (D), Total Pressure of Gas (P_t), Temperature of Gas (T), Film Thickness (δ), Partial Pressure of Component A in 2 (P_a2) & Partial Pressure of Component A in 1 (P_a1) and hit the calculate button. Here is how the Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A calculation can be explained with given input values -> -0.027715 = ((0.007*400000)/([R]*298*0.005))*ln((400000-11416)/(400000-300000)).

FAQ

What is 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 Partial Pressure of A 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 and is represented as N_a = ((D*P_t)/([R]*T*δ))*ln((P_t-P_a2)/(P_t-P_a1)) or 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)). 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 Partial Pressure of Component A in 2 is the variable which measures the partial pressure of component A in the mixture on the other side of the diffusing component & The Partial Pressure of Component A in 1 is the variable which measures the partial pressure of component A in the mixture on the feed side of the diffusing component.

How to calculate 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 Partial Pressure of A 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 is calculated using 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)). To calculate Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A, you need Diffusion Coefficient (DAB) (D), Total Pressure of Gas (P_t), Temperature of Gas (T), Film Thickness (δ), Partial Pressure of Component A in 2 (P_a2) & Partial Pressure of Component A in 1 (P_a1). With our tool, you need to enter the respective value for Diffusion Coefficient (DAB), Total Pressure of Gas, Temperature of Gas, Film Thickness, Partial Pressure of Component A in 2 & Partial Pressure of Component A in 1 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, Partial Pressure of Component A in 2 & Partial Pressure of Component A in 1. 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))*(Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)
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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