Partial Pressure of Gaseous A in G/L Reactions Calculator

Formula Used:

\[ p_{Ag} = r_A''' \times \left(\frac{1}{k_{Ag} \times a_i} + \frac{H_A}{k_{Al} \times a_i} + \frac{H_A}{k_{Ac} \times a_c} + \frac{H_A}{(k_A''' \times C_{B,d}) \times \xi_A \times f_s}\right) \]

Reaction Rate of Reactant A:

mol/m³·s

Gas Phase Mass Transfer Coefficient:

m/s

Inner Area of Particle:

1/m

Henry Law Constant:

mol/m³·Pa

Liquid Phase Mass Transfer Coefficient:

m/s

Film Coefficient of Catalyst on A:

m/s

External Area of Particle:

m²

Rate Constant of A:

1/s

Diffused Concentration of Reactant B:

mol/m³

Effectiveness Factor of Reactant A:

Solid Loading into Reactors:

Partial Pressure of Gaseous A (Pa):

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1. What is Partial Pressure of Gaseous A in G/L Reactions?

Definition: This calculator determines the partial pressure of gaseous reactant A at the gas-liquid interface in gas-liquid reactions involving catalysts.

Purpose: It helps chemical engineers and researchers understand and optimize gas-liquid reaction systems with catalytic particles.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p_{Ag} = r_A''' \times \left(\frac{1}{k_{Ag} \times a_i} + \frac{H_A}{k_{Al} \times a_i} + \frac{H_A}{k_{Ac} \times a_c} + \frac{H_A}{(k_A''' \times C_{B,d}) \times \xi_A \times f_s}\right) \]

Where:

\( p_{Ag} \) — Partial pressure of gaseous A (Pa)
\( r_A''' \) — Reaction rate of reactant A (mol/m³·s)
\( k_{Ag} \) — Gas phase mass transfer coefficient (m/s)
\( a_i \) — Inner area of particle (1/m)
\( H_A \) — Henry's law constant (mol/m³·Pa)
\( k_{Al} \) — Liquid phase mass transfer coefficient (m/s)
\( k_{Ac} \) — Film coefficient of catalyst on A (m/s)
\( a_c \) — External area of particle (m²)
\( k_A''' \) — Rate constant of A (1/s)
\( C_{B,d} \) — Diffused concentration of reactant B (mol/m³)
\( \xi_A \) — Effectiveness factor of reactant A
\( f_s \) — Solid loading into reactors

Explanation: The formula accounts for resistances in gas film, liquid film, catalyst film, and reaction kinetics.

3. Importance of Partial Pressure Calculation

Details: Accurate calculation of partial pressure is crucial for designing efficient gas-liquid reactors, optimizing reaction conditions, and understanding mass transfer limitations.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Default values are provided based on typical conditions, but should be adjusted for specific systems.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Henry's law constant in this calculation?
A: Henry's constant relates the gas-phase partial pressure to liquid-phase concentration, crucial for interphase mass transfer calculations.

Q2: How do I determine the effectiveness factor?
A: The effectiveness factor is typically determined experimentally or through Thiele modulus calculations for the specific catalyst and reaction.

Q3: What's a typical range for gas phase mass transfer coefficients?
A: For most gas-liquid systems, kAg ranges from 0.01 to 10 m/s depending on system turbulence and gas properties.

Q4: When would I need to adjust the solid loading factor?
A: Adjust when changing catalyst concentration or when dealing with highly concentrated slurries where particle interactions become significant.

Q5: How does this relate to overall reactor design?
A: This calculation helps determine the driving force for mass transfer, which is essential for sizing reactors and predicting conversion rates.