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

Molar Flux Formula:

\[ N_A = \frac{D_{AB} \cdot P_t}{R \cdot T \cdot \delta} \cdot (y_{A1} - y_{A2}) \]

Diffusion Coefficient (D_AB):

m²/s

Total Pressure of Gas (P_t):

Temperature of Gas (T):

Film Thickness (δ):

Mole Fraction of A in 1 (y_A1):

Mole Fraction of A in 2 (y_A2):

Molar Flux of Diffusing Component A (N_A):

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1. What is Molar Flux of Diffusing Component A?

Definition: Molar flux (N_A) is the amount of substance (in moles) that passes through a unit area per unit time during diffusion.

Purpose: This calculator determines the molar flux of component A in a binary gas mixture for equimolar counter-diffusion based on mole fractions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ N_A = \frac{D_{AB} \cdot P_t}{R \cdot T \cdot \delta} \cdot (y_{A1} - y_{A2}) \]

Where:

\( N_A \) — Molar flux of component A (mol/(s·m²))
\( D_{AB} \) — Diffusion coefficient (m²/s)
\( P_t \) — Total pressure of gas (Pa)
\( R \) — Universal gas constant (8.314 J/(mol·K))
\( T \) — Temperature of gas (K)
\( \delta \) — Film thickness (m)
\( y_{A1}, y_{A2} \) — Mole fractions of component A at positions 1 and 2

Explanation: The formula calculates the molar flux based on the concentration gradient (mole fraction difference), diffusion coefficient, and system conditions.

3. Importance of Molar Flux Calculation

Details: Accurate molar flux calculations are essential for designing separation processes, chemical reactors, and mass transfer equipment.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Default values are provided for typical conditions. Mole fractions must be between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What is equimolar counter-diffusion?
A: It's a diffusion process where two components diffuse at equal molar rates in opposite directions, common in binary systems.

Q2: How do I determine the diffusion coefficient?
A: The diffusion coefficient can be found experimentally or estimated using theoretical correlations like the Chapman-Enskog theory.

Q3: What's a typical film thickness value?
A: Film thickness depends on system geometry and flow conditions, typically ranging from micrometers to millimeters.

Q4: Can this calculator be used for liquids?
A: No, this specific formula is for gas-phase diffusion. Liquid-phase diffusion requires different considerations.

Q5: What if my mole fractions sum to more than 1?
A: Mole fractions must always sum to 1 or less for a valid composition. The calculator validates inputs between 0 and 1.