Molar Flux Of Diffusing Component A Through Non-Diffusing B Based On Mole Fractions Of B Calculator

Molar Flux Equation:

\[ N_a = \frac{D \cdot P_t}{\delta} \cdot \ln\left(\frac{y_{b2}}{y_{b1}}\right) \]

Diffusion Coefficient (DAB):

m²/s

Total Pressure of Gas:

Film Thickness:

Mole Fraction of Component B in 2:

Mole Fraction of Component B in 1:

Molar Flux of Diffusing Component A:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Molar Flux of Diffusing Component A?

Molar Flux of Diffusing Component A is the amount of substance per unit area per unit time that diffuses through a medium. It represents the rate of mass transfer of component A through non-diffusing component B based on their mole fractions.

2. How Does the Calculator Work?

The calculator uses the molar flux equation:

\[ N_a = \frac{D \cdot P_t}{\delta} \cdot \ln\left(\frac{y_{b2}}{y_{b1}}\right) \]

Where:

\( N_a \) — Molar Flux of Diffusing Component A (mol/s·m²)
\( D \) — Diffusion Coefficient (m²/s)
\( P_t \) — Total Pressure of Gas (Pa)
\( \delta \) — Film Thickness (m)
\( y_{b2} \) — Mole Fraction of Component B in 2
\( y_{b1} \) — Mole Fraction of Component B in 1

Explanation: The equation calculates the molar flux of component A through a stagnant film of component B based on the logarithmic mean of mole fraction differences.

3. Importance of Molar Flux Calculation

Details: Accurate molar flux calculation is crucial for designing separation processes, mass transfer operations, and understanding diffusion phenomena in chemical engineering applications.

4. Using the Calculator

Tips: Enter diffusion coefficient in m²/s, total pressure in Pa, film thickness in m, and mole fractions between 0-1. All values must be valid and mole fractions should not be equal.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the natural logarithm in the formula?
A: The natural logarithm accounts for the logarithmic mean concentration difference, which provides a more accurate representation of the driving force for diffusion.

Q2: When is this equation applicable?
A: This equation is specifically for equimolar counter diffusion or when component B is non-diffusing (stagnant).

Q3: What are typical units for molar flux?
A: Molar flux is typically expressed in moles per second per square meter (mol/s·m²) in the SI system.

Q4: How does film thickness affect molar flux?
A: Molar flux is inversely proportional to film thickness - thinner films result in higher flux rates due to shorter diffusion paths.

Q5: What are limitations of this equation?
A: This equation assumes steady-state conditions, constant diffusion coefficient, ideal gas behavior, and isothermal conditions.