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

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

GoMolar Flux of Diffusing Component A for Equimolar Diffusion with B based on Partial Pressure of A Formula

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Molar Flux of Diffusing Component A is the amount of substance per unit area per unit time. Check FAQs

N a = (\frac{D \cdot P t}{δ}) \cdot \ln (\frac{1 - y a2}{1 - y a1})

N_a - Molar Flux of Diffusing Component A?D - Diffusion Coefficient (DAB)?P_t - Total Pressure of Gas?δ - Film Thickness?y_a2 - Mole Fraction of Component A in 2?y_a1 - Mole Fraction of Component A in 1?

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

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Here is how the Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A equation looks like.

271884.3768 = (\frac{0.007 \cdot 400000}{0.005}) \cdot \ln (\frac{1 - 0.35}{1 - 0.6})

271884.3768mol/s*m² = (\frac{0.007m²/s \cdot 400000Pa}{0.005m}) \cdot \ln (\frac{1 - 0.35}{1 - 0.6})

271884.3768 = (\frac{0.007 \cdot 400000}{0.005}) \cdot \ln (\frac{1 - 0.35}{1 - 0.6})

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

Follow our step by step solution on how to calculate Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A?

FIRST Step Consider the formula

N a = (\frac{D \cdot P t}{δ}) \cdot \ln (\frac{1 - y a2}{1 - y a1})

Next Step Substitute values of Variables

∴

N a = (\frac{0.007m²/s \cdot 400000Pa}{0.005m}) \cdot \ln (\frac{1 - 0.35}{1 - 0.6})

Next Step Prepare to Evaluate

∴

N a = (\frac{0.007 \cdot 400000}{0.005}) \cdot \ln (\frac{1 - 0.35}{1 - 0.6})

Next Step Evaluate

∴

N a = 271884.376837752mol/s*m²

LAST Step Rounding Answer

∴

N a = 271884.3768mol/s*m²

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

Variables

Functions

Molar Flux of Diffusing Component A

Molar Flux of Diffusing Component A is the amount of substance per unit area per unit time.

Symbol: N_a

Measurement: Molar Flux of Diffusing ComponentUnit: mol/s*m²

Note: Value can be positive or negative.

Formulas to find Molar Flux of Diffusing Component A

Diffusion Coefficient (DAB)

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.

Symbol: D

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Diffusion Coefficient (DAB)

Total Pressure of Gas

Total Pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.

Symbol: P_t

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Total Pressure of Gas

Film Thickness

The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Film Thickness

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.

Symbol: y_a2

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Mole Fraction of Component A in 2

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.

Symbol: y_a1

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Mole Fraction of Component A in 1

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Molar Flux of Diffusing Component A

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

N a = (\frac{D \cdot P t}{[R] \cdot T \cdot δ}) \cdot (y a1 - y a2)

Go Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Partial Pressure of A

N a = (\frac{D}{[R] \cdot T \cdot δ}) \cdot (P a1 - P a2)

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

N a = (\frac{D \cdot P t}{δ}) \cdot (\frac{C a1 - C a2}{P b})

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

N a = (\frac{D \cdot P t}{[R] \cdot T \cdot δ}) \cdot (\frac{P a1 - P a2}{P b})

Other formulas in Molar Diffusion category

Go Chapman Enskog Equation for Gas Phase Diffusivity

D AB = \frac{1.858 \cdot (10^{- 7}) \cdot (T^{\frac{3}{2}}) \cdot ({((\frac{1}{M A}) + (\frac{1}{M b}))}^{\frac{1}{2}})}{P T \cdot {σ AB}^{2} \cdot Ω D}

Go Diffusivity by Stefan Tube Method

D AB = \frac{[R] \cdot T \cdot P BLM \cdot ρ L \cdot ({h 1}^{2} - {h 2}^{2})}{2 \cdot P T \cdot M A \cdot (P A1 - P A2) \cdot t}

Go Diffusivity by Twin Bulb Method

D AB = \frac{(\frac{L}{a \cdot t}) \cdot (\ln (\frac{P T}{P A1 - P A2}))}{(\frac{1}{V 1}) + (\frac{1}{V 2})}

Go Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity

D AB = (\frac{1.0133 \cdot (10^{- 7}) \cdot (T^{1.75})}{P T \cdot ({(({Σv A}^{\frac{1}{3}}) + ({Σv B}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{M A}) + (\frac{1}{M b}))}^{\frac{1}{2}})

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

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A evaluator uses 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)) to evaluate the Molar Flux of Diffusing Component A, Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions 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 evaluate Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A using this online evaluator? To use this online evaluator for Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A, enter Diffusion Coefficient (DAB) (D), Total Pressure of Gas (P_t), Film Thickness (δ), Mole Fraction of Component A in 2 (y_a2) & Mole Fraction of Component A in 1 (y_a1) and hit the calculate button.

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

What is the formula to find Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A?

The formula of Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A is expressed as 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)). Here is an example- 10.19566 = ((0.007*400000)/(0.005))*ln((1-0.35)/(1-0.6)).

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

With Diffusion Coefficient (DAB) (D), Total Pressure of Gas (P_t), Film Thickness (δ), Mole Fraction of Component A in 2 (y_a2) & Mole Fraction of Component A in 1 (y_a1) we can find Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A using the formula - 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)). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Molar Flux of Diffusing Component A?

Here are the different ways to Calculate Molar Flux of Diffusing Component A-

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)/([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=((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)

Can the Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A be negative?

Yes, the Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A, measured in Molar Flux of Diffusing Component can be negative.

Which unit is used to measure Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A?

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A is usually measured using the Mole per Second Square Meter[mol/s*m²] for Molar Flux of Diffusing Component. Kilogram Mole per Second Square Meter[mol/s*m²], Millimole per Microsecond Square Meter[mol/s*m²] are the few other units in which Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A can be measured.

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