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

Formula Used:

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

Diffusion Coefficient (D_AB):

m²/s

Total Pressure of Gas (P_t):

Temperature of Gas (T):

Film Thickness (δ):

Partial Pressure of Component A in 1 (P_A1):

Partial Pressure of Component A in 2 (P_A2):

Molar Flux of Diffusing Component A (N_A):

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1. What is Molar Flux of Diffusing Component A?

The molar flux of diffusing component A represents the amount of substance A that diffuses across a unit area per unit time through a stagnant (non-diffusing) component B. This is a fundamental concept in mass transfer operations and chemical engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

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

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)
\( R \) — Universal gas constant (8.314 J/(mol·K))
\( T \) — Temperature of gas (K)
\( \delta \) — Film thickness (m)
\( P_{A1} \) — Partial pressure of component A at position 1 (Pa)
\( P_{A2} \) — Partial pressure of component A at position 2 (Pa)

Explanation: This equation calculates the molar flux of component A diffusing through a stagnant gas film of component B, based on the partial pressure difference of component A across the film.

3. Importance of Molar Flux Calculation

Details: Accurate calculation of molar flux is essential for designing separation processes, predicting mass transfer rates, and optimizing chemical reactors and separation equipment in various industrial applications.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure that partial pressures are less than total pressure and that all input values are positive. The calculator uses SI units for consistency.

5. Frequently Asked Questions (FAQ)

Q1: What does "non-diffusing component B" mean?
A: It means that component B is stagnant and not moving, while component A diffuses through it. This is a common assumption in many mass transfer problems.

Q2: When is this equation applicable?
A: This equation is valid for steady-state diffusion of component A through stagnant component B in gaseous systems with constant total pressure.

Q3: What are typical values for diffusion coefficients?
A: Diffusion coefficients for gases typically range from 10⁻⁶ to 10⁻⁵ m²/s, while for liquids they range from 10⁻¹⁰ to 10⁻⁹ m²/s.

Q4: How does temperature affect molar flux?
A: Higher temperatures generally increase diffusion coefficients and thus increase molar flux, as diffusion rates increase with temperature.

Q5: What if component B is also diffusing?
A: If both components are diffusing, the equimolar counter-diffusion equation should be used instead of this stagnant film equation.