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

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

\[ N_a = \frac{D_{AB} \cdot P_t}{\delta} \cdot \frac{C_{A1} - C_{A2}}{P_{B,lm}} \]

Diffusion Coefficient (DAB):

m²/s

Total Pressure of Gas (Pt):

Film Thickness (δ):

Concentration of Component A in 1 (CA1):

mol/m³

Concentration of Component A in 2 (CA2):

mol/m³

Log Mean Partial Pressure of B (PB,lm):

Molar Flux of Diffusing Component A (Na):

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1. What is Molar Flux of Diffusing Component A through Non-Diffusing B based on Concentration of A?

The Molar Flux of Diffusing Component A through Non-Diffusing B based on Concentration of A is the amount of substance per unit area per unit time that diffuses through a stagnant gas film when component B is non-diffusing.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ N_a = \frac{D_{AB} \cdot P_t}{\delta} \cdot \frac{C_{A1} - C_{A2}}{P_{B,lm}} \]

Where:

\( N_a \) — Molar Flux of Diffusing Component A (mol/s·m²)
\( D_{AB} \) — Diffusion Coefficient (m²/s)
\( P_t \) — Total Pressure of Gas (Pa)
\( \delta \) — Film Thickness (m)
\( C_{A1} \) — Concentration of Component A in 1 (mol/m³)
\( C_{A2} \) — Concentration of Component A in 2 (mol/m³)
\( P_{B,lm} \) — Log Mean Partial Pressure of B (Pa)

Explanation: This equation calculates the molar flux of component A diffusing through a stagnant gas film of component B, considering the concentration gradient and the logarithmic mean partial pressure of the non-diffusing component.

3. Importance of Molar Flux Calculation

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

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive and within reasonable physical limits for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the logarithmic mean partial pressure?
A: The logarithmic mean provides a more accurate average partial pressure for mass transfer calculations when there is a significant difference between the partial pressures at the two ends of the diffusion path.

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

Q3: What are typical units for these parameters?
A: Diffusion coefficients are typically in m²/s, pressures in Pa, concentrations in mol/m³, and film thickness in meters.

Q4: How does temperature affect the calculation?
A: Temperature affects the diffusion coefficient (DAB) which generally increases with temperature according to the Chapman-Enskog theory.

Q5: What are the limitations of this equation?
A: This equation assumes steady-state conditions, constant temperature and pressure, ideal gas behavior, and that component B is truly non-diffusing.